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p03759 AtCoder Beginner Contest 058 - ι⊥l_34464
Three poles stand evenly spaced along a line. Their heights are a, b and c meters, from left to right. We will call the arrangement of the poles beautiful if the tops of the poles lie on the same line, that is, b-a = c-b. Determine whether the arrangement of the poles is beautiful. Constraints * 1 \leq a,b,c \leq 100 * a, b and c are integers. Input Input is given from Standard Input in the following format: a b c Output Print `YES` if the arrangement of the poles is beautiful; print `NO` otherwise. Examples Input 2 4 6 Output YES Input 2 5 6 Output NO Input 3 2 1 Output YES
a,b,c=map(int,input().split());print(" YNEOS"[b-a==c-b::2])
{ "input": [ "2 5 6", "3 2 1", "2 4 6", "2 8 6", "2 2 2", "2 2 1", "2 0 6", "1 8 6", "2 0 2", "1 8 1", "2 4 2", "2 0 3", "1 10 1", "2 4 1", "0 0 3", "1 1 1", "2 1 1", "-1 0 3", "1 1 0", "2 1 0", "0 -1 3", "1 2 0", "2 0 1", "0 -1 1", "0 2 0", "2 0 0", "1 -1 1", "0 1 0", "2 0 -1", "1 -1 2", "-1 2 0", "2 -1 -1", "1 -1 0", "-1 2 1", "2 -2 -1", "1 -2 1", "-1 4 0", "0 -2 -1", "1 0 1", "0 4 0", "0 -2 -2", "0 0 1", "1 4 0", "-1 -2 -1", "1 0 0", "1 2 -1", "-1 -3 -1", "1 0 -1", "0 2 -1", "0 -3 -1", "1 0 -2", "0 2 -2", "0 -3 0", "2 -1 0", "0 3 -1", "-1 -3 0", "3 -1 0", "0 3 -2", "-2 -3 0", "3 -1 -1", "1 3 -2", "-2 -4 0", "4 -1 -1", "1 3 -1", "-2 -4 -1", "4 -1 -2", "1 1 -1", "-2 -2 -1", "4 -1 -3", "0 1 -1", "-2 0 -1", "4 -2 -3", "1 1 -2", "-2 -1 -1", "4 -2 -6", "1 1 -4", "-1 -1 -1", "4 -2 -2", "1 1 -3", "-2 -3 -1", "4 -2 -1", "1 1 -5", "-2 -3 -2", "3 -2 -1", "1 2 -5", "-2 -3 -4", "3 -2 0", "1 2 -2", "-2 -6 -4", "2 -2 0", "1 2 -3", "-1 -6 -4", "1 -2 -1", "1 3 0", "-1 -6 -1", "1 -2 0", "1 3 1", "-1 -1 0", "0 0 0", "1 3 2", "0 -1 0", "-1 0 0", "1 6 1" ], "output": [ "NO", "YES", "YES", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Three poles stand evenly spaced along a line. Their heights are a, b and c meters, from left to right. We will call the arrangement of the poles beautiful if the tops of the poles lie on the same line, that is, b-a = c-b. Determine whether the arrangement of the poles is beautiful. Constraints * 1 \leq a,b,c \leq 100 * a, b and c are integers. Input Input is given from Standard Input in the following format: a b c Output Print `YES` if the arrangement of the poles is beautiful; print `NO` otherwise. Examples Input 2 4 6 Output YES Input 2 5 6 Output NO Input 3 2 1 Output YES ### Input: 2 5 6 ### Output: NO ### Input: 3 2 1 ### Output: YES ### Code: a,b,c=map(int,input().split());print(" YNEOS"[b-a==c-b::2])
p03921 CODE FESTIVAL 2016 Final (Parallel) - Interpretation_34468
On a planet far, far away, M languages are spoken. They are conveniently numbered 1 through M. For CODE FESTIVAL 20XX held on this planet, N participants gathered from all over the planet. The i-th (1≦i≦N) participant can speak K_i languages numbered L_{i,1}, L_{i,2}, ..., L_{i,{}K_i}. Two participants A and B can communicate with each other if and only if one of the following conditions is satisfied: * There exists a language that both A and B can speak. * There exists a participant X that both A and B can communicate with. Determine whether all N participants can communicate with all other participants. Constraints * 2≦N≦10^5 * 1≦M≦10^5 * 1≦K_i≦M * (The sum of all K_i)≦10^5 * 1≦L_{i,j}≦M * L_{i,1}, L_{i,2}, ..., L_{i,{}K_i} are pairwise distinct. Input The input is given from Standard Input in the following format: N M K_1 L_{1,1} L_{1,2} ... L_{1,{}K_1} K_2 L_{2,1} L_{2,2} ... L_{2,{}K_2} : K_N L_{N,1} L_{N,2} ... L_{N,{}K_N} Output If all N participants can communicate with all other participants, print `YES`. Otherwise, print `NO`. Examples Input 4 6 3 1 2 3 2 4 2 2 4 6 1 6 Output YES Input 4 4 2 1 2 2 1 2 1 3 2 4 3 Output NO
import sys class UnionFind: def __init__(self, n): # 親要素のノード番号を格納　par[x] == x の時そのノードは根 self.par = [i for i in range(n+1)] # 木の高さを格納する（初期状態では0) self.rank = [0] * (n+1) # 各々の集合の要素数（根が代表して値を持っておく） self.count = [1] * (n+1) # 検索 def find(self, x): # 根ならその番号を返す if self.par[x] == x: return x # 根でないなら親の要素で再検索 else: # 検索する過程で親を更新 self.par[x] = self.find(self.par[x]) return self.par[x] # 併合 def union(self, x, y): x = self.find(x) y = self.find(y) if self.rank[x] < self.rank[y]: self.par[x] = y self.count[y] += self.count[x] self.count[x] = 0 else: self.par[y] = x self.count[x] += self.count[y] self.count[y] = 0 if self.rank[x] == self.rank[y]: self.rank[x] += 1 # 同じ集合に属しているか判定 def same_check(self, x, y): return self.find(x) == self.find(y) # 属している集合の要素数 def size(self,x): q = UnionFind.find(self,x) return self.count[q] N,M=map(int,input().split()) K=[set() for i in range(M)] tree=UnionFind(N) for i in range(N): L=[int(i)-1 for i in input().split()] for m in L[1:]: K[m].add(i) for i in range(M): Ki=list(K[i]) if len(Ki)==0: continue for h in range(len(Ki)): tree.union(Ki[h],Ki[0]) for i in range(N): if not tree.same_check(0,i): print('NO') sys.exit() print('YES')
{ "input": [ "4 6\n3 1 2 3\n2 4 2\n2 4 6\n1 6", "4 4\n2 1 2\n2 1 2\n1 3\n2 4 3", "4 4\n2 1 2\n2 1 2\n0 3\n2 4 3", "4 6\n3 2 3 3\n2 4 2\n2 4 6\n1 6", "4 4\n2 2 2\n2 1 2\n0 3\n2 4 3", "4 4\n2 2 2\n2 1 2\n1 3\n2 4 3", "4 6\n3 1 3 3\n2 4 2\n2 4 6\n1 6", "4 4\n2 2 2\n2 2 2\n0 3\n2 4 3", "4 4\n2 2 2\n2 2 2\n0 3\n2 4 4", "4 6\n3 2 3 4\n2 4 2\n2 4 6\n1 6", "4 4\n2 2 2\n2 2 2\n0 3\n2 2 4", "4 4\n2 2 2\n2 2 2\n0 3\n2 1 4", "4 4\n2 3 2\n2 2 2\n0 3\n2 1 4", "4 4\n2 3 2\n2 2 2\n0 3\n2 1 0", "4 4\n2 2 2\n2 1 2\n0 0\n2 4 3", "4 4\n2 2 2\n2 2 2\n0 3\n2 3 3", "4 6\n3 2 3 3\n2 4 2\n2 1 6\n1 6", "4 7\n2 2 2\n2 2 2\n0 3\n2 4 4", "4 6\n3 2 3 4\n2 4 4\n2 4 6\n1 6", "4 7\n2 2 2\n2 2 2\n0 3\n2 2 4", "4 4\n2 3 2\n2 2 2\n0 3\n0 1 4", "4 4\n2 2 2\n2 1 2\n0 0\n1 4 3", "4 4\n2 2 2\n2 1 2\n0 3\n2 3 3", "4 6\n3 2 3 3\n2 4 0\n2 1 6\n1 6", "4 6\n3 0 3 4\n2 4 4\n2 4 6\n1 6", "4 7\n2 2 2\n2 2 1\n0 3\n2 2 4", "2 4\n2 2 2\n2 1 2\n0 0\n1 4 3", "4 6\n3 2 3 3\n2 4 0\n2 1 6\n0 6", "4 7\n2 2 2\n2 2 1\n0 3\n2 2 0", "4 7\n2 2 2\n2 1 1\n0 3\n2 2 0", "4 7\n2 2 2\n2 1 0\n0 3\n2 2 0", "4 7\n2 2 2\n2 1 0\n0 3\n2 1 0", "4 7\n2 2 4\n2 1 0\n0 3\n2 2 0", "4 7\n2 1 4\n2 1 0\n0 3\n2 2 0", "4 6\n3 0 2 3\n2 4 2\n2 4 6\n1 6", "4 7\n2 2 2\n2 1 2\n0 3\n2 4 3", "4 6\n3 1 3 3\n0 4 2\n2 4 6\n1 6", "4 8\n2 2 2\n2 2 2\n0 3\n2 4 4", "4 4\n2 2 2\n2 0 2\n0 3\n2 1 4", "4 4\n2 3 2\n2 2 2\n0 3\n2 1 1", "4 4\n2 2 2\n2 2 2\n0 0\n2 4 3", "4 4\n2 2 2\n2 2 2\n0 0\n2 3 3", "4 6\n3 2 3 3\n2 4 3\n2 1 6\n1 6", "4 7\n2 2 2\n2 2 2\n0 0\n2 4 4", "4 7\n2 2 2\n2 2 2\n0 3\n1 2 4", "4 4\n2 2 2\n2 2 2\n0 0\n1 4 3", "4 3\n2 2 2\n2 1 2\n0 3\n2 3 3", "4 6\n3 3 3 3\n2 4 0\n2 1 6\n1 6", "4 7\n2 2 2\n2 2 1\n0 3\n2 2 6", "2 4\n2 2 2\n2 1 4\n0 0\n1 4 3", "2 6\n3 2 3 3\n2 4 0\n2 1 6\n0 6", "4 7\n2 2 2\n2 1 1\n0 3\n2 2 1", "4 5\n2 1 4\n2 1 0\n0 3\n2 2 0", "3 7\n2 2 2\n2 1 2\n0 3\n2 4 3", "4 8\n2 2 2\n2 2 2\n0 3\n2 2 4", "4 4\n2 3 2\n2 2 2\n0 1\n2 1 1", "4 6\n3 2 3 3\n2 4 3\n2 1 3\n1 6", "4 12\n2 2 2\n2 2 2\n0 0\n2 4 4", "4 3\n2 2 2\n2 1 2\n0 3\n2 3 0", "4 8\n3 3 3 3\n2 4 0\n2 1 6\n1 6", "2 7\n2 2 2\n2 2 1\n0 3\n2 2 6", "2 4\n2 2 2\n2 1 4\n0 0\n0 4 3", "2 6\n3 2 3 3\n2 4 0\n2 0 6\n0 6", "3 7\n2 2 2\n2 1 1\n0 3\n2 2 1", "4 5\n2 1 4\n2 1 0\n0 3\n0 2 0", "3 7\n2 2 2\n2 1 2\n1 3\n2 4 3", "4 8\n2 2 2\n2 2 2\n1 3\n2 4 4", "4 6\n3 3 3 3\n2 4 3\n2 1 3\n1 6", "3 3\n2 2 2\n2 1 2\n0 3\n2 3 0", "2 13\n2 2 2\n2 2 1\n0 3\n2 2 6", "2 8\n2 2 2\n2 1 4\n0 0\n0 4 3", "3 7\n2 2 2\n2 1 1\n0 3\n2 2 0", "4 8\n2 2 2\n2 1 2\n1 3\n2 4 4", "4 6\n3 3 3 1\n2 4 3\n2 1 3\n1 6", "3 3\n2 2 2\n2 1 2\n0 3\n3 3 0", "2 13\n2 2 3\n2 2 1\n0 3\n2 2 6", "2 8\n2 4 2\n2 1 4\n0 0\n0 4 3", "3 7\n2 2 2\n2 1 2\n0 3\n2 2 0", "2 13\n2 2 3\n2 4 1\n0 3\n2 2 6", "2 14\n2 4 2\n2 1 4\n0 0\n0 4 3", "3 7\n2 2 2\n2 1 2\n0 3\n4 2 0", "2 13\n2 2 5\n2 2 1\n0 3\n2 2 6", "2 14\n2 4 2\n2 1 1\n0 0\n0 4 3", "3 7\n2 2 2\n2 1 2\n0 3\n4 2 1", "2 13\n2 2 5\n2 2 1\n0 5\n2 2 6", "2 14\n2 4 2\n2 1 1\n0 0\n-1 4 3", "3 7\n2 2 2\n2 1 2\n1 3\n4 2 1", "2 13\n2 2 3\n2 2 1\n0 5\n2 2 6", "2 14\n2 4 2\n2 1 1\n0 0\n-2 4 3", "3 7\n2 2 2\n2 1 2\n1 3\n7 2 1", "2 13\n2 2 3\n2 4 1\n0 5\n2 2 6", "2 13\n2 2 3\n1 4 1\n0 5\n2 2 6", "2 18\n2 2 3\n1 4 1\n0 5\n2 2 6", "4 6\n3 1 2 3\n2 4 2\n2 4 6\n1 1", "4 4\n2 2 1\n2 1 2\n0 3\n2 4 3", "4 4\n2 2 2\n2 1 1\n1 3\n2 4 3", "2 4\n2 2 2\n2 2 2\n0 3\n2 4 3", "4 4\n2 2 2\n2 2 2\n0 3\n0 4 4", "4 6\n3 2 3 4\n2 0 2\n2 4 6\n1 6", "4 4\n2 3 2\n2 2 2\n0 0\n2 1 4", "4 4\n2 3 0\n2 2 2\n0 3\n2 1 0", "4 4\n2 2 2\n2 1 2\n0 1\n2 4 3" ], "output": [ "YES", "NO", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: On a planet far, far away, M languages are spoken. They are conveniently numbered 1 through M. For CODE FESTIVAL 20XX held on this planet, N participants gathered from all over the planet. The i-th (1≦i≦N) participant can speak K_i languages numbered L_{i,1}, L_{i,2}, ..., L_{i,{}K_i}. Two participants A and B can communicate with each other if and only if one of the following conditions is satisfied: * There exists a language that both A and B can speak. * There exists a participant X that both A and B can communicate with. Determine whether all N participants can communicate with all other participants. Constraints * 2≦N≦10^5 * 1≦M≦10^5 * 1≦K_i≦M * (The sum of all K_i)≦10^5 * 1≦L_{i,j}≦M * L_{i,1}, L_{i,2}, ..., L_{i,{}K_i} are pairwise distinct. Input The input is given from Standard Input in the following format: N M K_1 L_{1,1} L_{1,2} ... L_{1,{}K_1} K_2 L_{2,1} L_{2,2} ... L_{2,{}K_2} : K_N L_{N,1} L_{N,2} ... L_{N,{}K_N} Output If all N participants can communicate with all other participants, print `YES`. Otherwise, print `NO`. Examples Input 4 6 3 1 2 3 2 4 2 2 4 6 1 6 Output YES Input 4 4 2 1 2 2 1 2 1 3 2 4 3 Output NO ### Input: 4 6 3 1 2 3 2 4 2 2 4 6 1 6 ### Output: YES ### Input: 4 4 2 1 2 2 1 2 1 3 2 4 3 ### Output: NO ### Code: import sys class UnionFind: def __init__(self, n): # 親要素のノード番号を格納　par[x] == x の時そのノードは根 self.par = [i for i in range(n+1)] # 木の高さを格納する（初期状態では0) self.rank = [0] * (n+1) # 各々の集合の要素数（根が代表して値を持っておく） self.count = [1] * (n+1) # 検索 def find(self, x): # 根ならその番号を返す if self.par[x] == x: return x # 根でないなら親の要素で再検索 else: # 検索する過程で親を更新 self.par[x] = self.find(self.par[x]) return self.par[x] # 併合 def union(self, x, y): x = self.find(x) y = self.find(y) if self.rank[x] < self.rank[y]: self.par[x] = y self.count[y] += self.count[x] self.count[x] = 0 else: self.par[y] = x self.count[x] += self.count[y] self.count[y] = 0 if self.rank[x] == self.rank[y]: self.rank[x] += 1 # 同じ集合に属しているか判定 def same_check(self, x, y): return self.find(x) == self.find(y) # 属している集合の要素数 def size(self,x): q = UnionFind.find(self,x) return self.count[q] N,M=map(int,input().split()) K=[set() for i in range(M)] tree=UnionFind(N) for i in range(N): L=[int(i)-1 for i in input().split()] for m in L[1:]: K[m].add(i) for i in range(M): Ki=list(K[i]) if len(Ki)==0: continue for h in range(len(Ki)): tree.union(Ki[h],Ki[0]) for i in range(N): if not tree.same_check(0,i): print('NO') sys.exit() print('YES')
p00022 Maximum Sum Sequence_34472
Given a sequence of numbers a1, a2, a3, ..., an, find the maximum sum of a contiguous subsequence of those numbers. Note that, a subsequence of one element is also a contiquous subsequence. Input The input consists of multiple datasets. Each data set consists of: n a1 a2 . . an You can assume that 1 ≤ n ≤ 5000 and -100000 ≤ ai ≤ 100000. The input end with a line consisting of a single 0. Output For each dataset, print the maximum sum in a line. Example Input 7 -5 -1 6 4 9 -6 -7 13 1 2 3 2 -2 -1 1 2 3 2 1 -2 1 3 1000 -200 201 0 Output 19 14 1001
import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): N = int(readline()) if N == 0: return False mi = su = 0 ans = -10**9 for i in range(N): a = int(readline()) su += a ans = max(ans, su - mi) mi = min(su, mi) print(ans) return True while solve(): ...
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"7\n-5\n-1\n6\n4\n9\n-6\n-7\n13\n1\n2\n1\n2\n0\n-1\n2\n2\n3\n2\n1\n-3\n0\n3\n1000\n-26\n246\n0", "7\n-5\n-2\n6\n14\n9\n-6\n-7\n13\n1\n0\n2\n2\n-2\n-1\n0\n1\n3\n2\n0\n-3\n2\n3\n1000\n-200\n150\n0", "7\n-5\n0\n6\n6\n9\n-6\n0\n13\n1\n2\n0\n2\n-2\n-1\n1\n2\n6\n3\n1\n-5\n0\n3\n1010\n-200\n201\n0", "7\n-4\n-4\n6\n14\n15\n-8\n-14\n13\n1\n0\n3\n2\n-3\n-1\n1\n1\n5\n3\n0\n-6\n2\n3\n1100\n-200\n145\n0", "7\n-5\n0\n6\n0\n6\n-6\n0\n9\n2\n2\n0\n2\n-4\n-1\n1\n1\n6\n2\n0\n-3\n4\n3\n0000\n-200\n397\n0", "7\n-5\n-1\n6\n5\n6\n-6\n0\n13\n2\n4\n0\n1\n-2\n-1\n1\n4\n6\n0\n0\n-3\n0\n3\n0010\n-200\n360\n0", "7\n-6\n-1\n6\n0\n6\n-6\n0\n13\n2\n2\n0\n1\n-1\n-2\n1\n4\n5\n2\n0\n-3\n0\n3\n1000\n-200\n201\n0", "7\n-5\n-3\n6\n8\n7\n-6\n-7\n13\n1\n2\n6\n3\n-2\n-1\n2\n1\n3\n2\n1\n-1\n2\n3\n1000\n-200\n201\n0", "7\n-5\n-1\n6\n4\n9\n-6\n-7\n13\n1\n2\n1\n2\n0\n-1\n2\n2\n3\n2\n1\n-3\n0\n3\n0000\n-26\n246\n0", "7\n-5\n-2\n6\n14\n9\n-6\n-7\n13\n1\n1\n2\n2\n-2\n-1\n0\n1\n3\n2\n0\n-3\n2\n3\n1000\n-200\n150\n0", "7\n-5\n-2\n6\n8\n9\n-6\n-7\n13\n1\n2\n3\n1\n-2\n-1\n4\n1\n3\n2\n-1\n-4\n2\n3\n1000\n-72\n145\n0", "7\n-5\n0\n6\n6\n9\n-6\n0\n17\n1\n2\n0\n2\n-2\n-1\n1\n2\n6\n3\n1\n-5\n0\n3\n1010\n-200\n201\n0" ], "output": [ "19\n14\n1001", "19\n14\n1001\n", "19\n13\n1001\n", "23\n13\n1001\n", "23\n13\n1000\n", "19\n12\n1001\n", "19\n14\n1000\n", "18\n13\n1001\n", "19\n12\n1000\n", "23\n12\n1000\n", "19\n15\n1001\n", "19\n11\n1001\n", "23\n12\n1100\n", "19\n15\n201\n", "29\n12\n1100\n", "16\n15\n201\n", "16\n14\n201\n", "29\n14\n1100\n", "16\n16\n201\n", "29\n13\n1100\n", "16\n18\n201\n", "16\n17\n201\n", "19\n13\n1157\n", "23\n16\n1001\n", "23\n14\n1000\n", "18\n14\n1001\n", "19\n12\n1124\n", "17\n13\n1001\n", "19\n10\n1000\n", "23\n12\n1052\n", "20\n12\n1100\n", "23\n11\n1100\n", "29\n12\n145\n", "15\n14\n201\n", "29\n14\n145\n", "16\n9\n201\n", "29\n15\n1100\n", "29\n11\n1100\n", "16\n16\n360\n", "23\n17\n1001\n", "19\n15\n1000\n", "18\n15\n1001\n", "27\n14\n1000\n", "19\n14\n1124\n", "23\n10\n1000\n", "10\n14\n1001\n", "18\n10\n1000\n", "24\n12\n1100\n", "16\n8\n201\n", "16\n19\n201\n", "16\n14\n397\n", "16\n18\n360\n", "19\n13\n1164\n", "23\n18\n1001\n", "19\n12\n1011\n", "38\n14\n1000\n", "23\n12\n1073\n", "19\n15\n1022\n", "22\n12\n145\n", "22\n19\n201\n", "17\n18\n360\n", "12\n15\n201\n", "19\n16\n1001\n", "24\n13\n1164\n", "19\n13\n1011\n", "19\n14\n1169\n", "26\n12\n1001\n", "23\n9\n1000\n", "18\n8\n1000\n", "18\n12\n1001\n", "23\n13\n1073\n", "21\n14\n1001\n", "22\n11\n145\n", "18\n14\n201\n", "16\n16\n1043\n", "16\n12\n397\n", "24\n13\n1000\n", "19\n14\n1220\n", "23\n8\n1000\n", "18\n9\n1000\n", "18\n11\n1001\n", "21\n15\n1001\n", "21\n8\n201\n", "16\n15\n1043\n", "22\n18\n201\n", "12\n12\n397\n", "17\n17\n360\n", "12\n14\n201\n", "21\n18\n1001\n", "19\n15\n1220\n", "29\n8\n1000\n", "21\n15\n1011\n", "35\n12\n1100\n", "12\n9\n0\n397\n", "17\n15\n360\n", "12\n14\n1001\n", "21\n19\n1001\n", "19\n15\n246\n", "29\n9\n1000\n", "23\n14\n1073\n", "21\n1024\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Given a sequence of numbers a1, a2, a3, ..., an, find the maximum sum of a contiguous subsequence of those numbers. Note that, a subsequence of one element is also a contiquous subsequence. Input The input consists of multiple datasets. Each data set consists of: n a1 a2 . . an You can assume that 1 ≤ n ≤ 5000 and -100000 ≤ ai ≤ 100000. The input end with a line consisting of a single 0. Output For each dataset, print the maximum sum in a line. Example Input 7 -5 -1 6 4 9 -6 -7 13 1 2 3 2 -2 -1 1 2 3 2 1 -2 1 3 1000 -200 201 0 Output 19 14 1001 ### Input: 7 -5 -1 6 4 9 -6 -7 13 1 2 3 2 -2 -1 1 2 3 2 1 -2 1 3 1000 -200 201 0 ### Output: 19 14 1001 ### Input: 7 -5 -2 6 4 9 -6 -7 13 1 2 3 2 -2 -1 1 2 3 2 1 -2 1 3 1000 -200 201 0 ### Output: 19 14 1001 ### Code: import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): N = int(readline()) if N == 0: return False mi = su = 0 ans = -10**9 for i in range(N): a = int(readline()) su += a ans = max(ans, su - mi) mi = min(su, mi) print(ans) return True while solve(): ...
p00153 Triangle and Circle_34476
Create a program to determine the positional relationship between a triangle and a circle on a plane. All target figures shall include boundaries. The triangle is given the position of three vertices, and the circle is given the position of the center and the radius. The position is given by a set of two integers in a Cartesian coordinate system. The radius is also given as an integer. Input A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format: x1 y1 x2 y2 x3 y3 xc yc r The first to third lines are given the coordinates xi, yi of the i-th vertex of the triangle. The coordinates of the center of the circle xc, yc are given on the 4th line, and the radius r of the circle is given on the 5th line. All inputs given are integers greater than or equal to 1 and less than or equal to 10,000. The number of datasets does not exceed 100. Output The judgment result is output to one line in the following format for each input data set. If the circle is included in the triangle a If the triangle is included in the circle b In other cases, if there is an intersection, c D if there is no intersection Example Input 1 1 3 1 3 3 3 2 3 3 12 9 3 11 12 8 7 5 15 3 17 7 22 5 7 6 4 6 11 8 2 16 9 10 8 2 0 0 Output b c d a
def contain(x, y, r): return x**2 + y**2 <= r**2 def outer_p(x0, y0, x1, y1): return (x0*y1 - y0*x1) def line_segment_circle(x0, y0, x1, y1, r, border=True): A = x0**2 + y0**2 B = x0*x1 + y0*y1 C = x1**2 + y1**2 - r**2 D = B**2 - A*C if border: if D < 0: return 0 if B <= 0 and B**2 > D: return 0 if B - A >= 0 and (B - A)**2 > D: return 0 else: if D <= 0: return 0 if B <= 0 and B**2 >= D: return 0 if B - A >= 0 and (B - A)**2 >= D: return 0 return 1 while 1: x1, y1 = map(int, input().split()) if x1 == y1 == 0: break x2, y2 = map(int, input().split()) x3, y3 = map(int, input().split()) cx, cy = map(int, input().split()) r = int(input()) C1 = contain(x1-cx, y1-cy, r) C2 = contain(x2-cx, y2-cy, r) C3 = contain(x3-cx, y3-cy, r) if C1 and C2 and C3: print("b") continue if C1 or C2 or C3: print("c") continue p1 = outer_p(x2-x1, y2-y1, cx-x1, cy-y1) p2 = outer_p(x3-x2, y3-y2, cx-x2, cy-y2) p3 = outer_p(x1-x3, y1-y3, cx-x3, cy-y3) if 1 == (p1 < 0) == (p2 < 0) == (p3 < 0) or 1 == (p1 > 0) == (p2 > 0) == (p3 > 0): p1 = line_segment_circle(x2-x1, y2-y1, cx-x1, cy-y1, r, False) p2 = line_segment_circle(x3-x2, y3-y2, cx-x2, cy-y2, r, False) p3 = line_segment_circle(x1-x3, y1-y3, cx-x3, cy-y3, r, False) if p1 or p2 or p3: print("c") else: print("a") continue p1 = line_segment_circle(x2-x1, y2-y1, cx-x1, cy-y1, r, True) p2 = line_segment_circle(x3-x2, y3-y2, cx-x2, cy-y2, r, True) p3 = line_segment_circle(x1-x3, y1-y3, cx-x3, cy-y3, r, True) if p1 or p2 or p3: print("c") continue print("d")
{ "input": [ "1 1\n3 1\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n8 7\n5\n15 3\n17 7\n22 5\n7 6\n4\n6 11\n8 2\n16 9\n10 8\n2\n0 0", "1 1\n3 1\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n8 7\n5\n15 3\n17 7\n22 5\n7 6\n5\n6 11\n8 2\n16 9\n10 8\n2\n0 0", "2 1\n3 1\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n8 7\n5\n15 3\n17 7\n22 5\n7 6\n5\n6 11\n8 2\n16 9\n15 8\n0\n0 0", "2 1\n3 1\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n8 7\n5\n5 3\n17 7\n22 5\n7 6\n5\n6 11\n8 2\n16 9\n15 8\n0\n0 0", "2 1\n3 1\n3 3\n3 4\n3\n3 12\n9 3\n11 12\n8 7\n5\n5 3\n17 7\n22 5\n7 6\n5\n6 11\n8 2\n16 9\n15 8\n0\n0 0", "2 1\n3 1\n3 3\n3 4\n3\n3 12\n9 3\n11 12\n8 7\n5\n5 3\n17 7\n22 5\n7 6\n5\n6 11\n8 2\n16 9\n10 8\n0\n0 0", "1 1\n3 1\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n8 7\n5\n15 3\n17 7\n22 5\n7 6\n4\n6 11\n13 2\n16 9\n10 8\n2\n0 0", "1 1\n3 1\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n8 7\n5\n10 3\n17 7\n22 5\n7 6\n5\n6 11\n8 2\n16 9\n10 8\n0\n0 0", "2 1\n3 1\n3 3\n3 4\n3\n3 12\n9 3\n11 12\n8 7\n5\n5 3\n17 7\n22 5\n7 6\n2\n6 11\n12 2\n16 9\n19 8\n0\n0 0", "1 1\n3 1\n3 3\n3 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6\n5\n6 11\n12 2\n16 9\n19 9\n0\n0 0", "1 1\n3 0\n3 3\n3 2\n3\n3 12\n9 3\n11 12\n12 7\n5\n15 3\n17 7\n22 5\n7 12\n4\n6 11\n13 2\n16 9\n5 3\n2\n0 0", "1 1\n3 1\n3 3\n3 2\n3\n3 8\n9 3\n11 12\n8 7\n9\n15 3\n17 13\n22 5\n5 6\n9\n6 11\n8 2\n16 9\n13 8\n2\n0 0", "3 2\n3 1\n3 3\n3 2\n3\n3 12\n6 3\n11 12\n8 1\n5\n15 3\n17 7\n22 0\n7 6\n5\n6 11\n12 2\n16 9\n15 8\n0\n0 0", "2 1\n3 1\n3 3\n3 2\n4\n3 12\n9 3\n11 12\n8 6\n3\n5 3\n17 7\n22 5\n7 6\n7\n6 11\n8 2\n16 9\n19 8\n0\n0 0", "2 1\n3 0\n3 3\n3 6\n3\n3 12\n9 3\n11 12\n8 7\n5\n5 3\n17 5\n22 5\n7 6\n5\n12 11\n8 2\n32 9\n15 8\n0\n0 0", "2 0\n3 1\n3 3\n3 4\n3\n3 12\n16 0\n11 12\n8 7\n5\n5 3\n17 7\n10 5\n7 6\n2\n6 11\n12 2\n16 9\n25 8\n0\n0 0", "3 2\n3 1\n3 3\n3 4\n3\n3 13\n9 3\n11 12\n8 7\n5\n5 3\n17 7\n14 5\n7 6\n5\n6 2\n12 2\n16 9\n19 8\n0\n0 0", "1 1\n3 1\n3 3\n3 4\n3\n3 12\n9 3\n11 23\n5 7\n5\n5 1\n17 7\n12 5\n0 6\n5\n6 11\n12 0\n16 9\n19 9\n0\n0 0" ], "output": [ "b\nc\nd\na", "b\nc\nd\na\n", "b\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\na\n", "b\nc\nd\nc\n", "b\nc\nc\na\n", "c\nc\nd\nd\n", "b\nb\nd\nc\n", "b\nd\nc\nd\n", "c\nd\nd\nd\n", "b\nb\nc\nc\n", "b\nb\nc\na\n", "b\nb\nc\nd\n", "b\nb\nd\nd\n", "b\nd\nb\nd\n", "b\nb\nd\na\n", "b\nd\nd\na\n", "c\nb\nd\nc\n", "d\nc\nc\nd\n", "d\nc\nd\nd\n", "c\nc\nb\nd\n", "c\nd\nd\nc\n", "c\nc\nd\nc\n", "d\nc\nc\na\n", "b\nd\nd\nd\n", "c\nc\na\nd\n", "c\nc\nd\na\n", "c\nb\nc\nd\n", "c\nd\nc\nd\n", "c\nb\nd\nd\n", "c\nc\n", "d\nd\nc\na\n", "b\nc\nd\na\n", "b\nc\nd\na\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "b\nc\nd\nc\n", "b\nc\nd\na\n", "b\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\na\n", "b\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nc\nd\n", "b\nc\nd\nd\n", "b\nc\nd\nc\n", "b\nc\nc\nd\n", "b\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nc\na\n", "c\nc\nc\nd\n", "c\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nd\nd\n", "c\nc\nc\nd\n", "b\nc\nd\nd\n", "b\nc\nd\nc\n", "b\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nc\na\n", "c\nc\nc\nd\n", "c\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nc\nd\n", "c\nc\nd\nd\n", "c\nc\nd\nd\n", "b\nc\nd\nd\n", "b\nc\nd\na\n", "b\nc\nc\nd\n", "c\nc\nc\na\n", "c\nc\nc\nd\n", "c\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nd\nd\n", "c\nc\nd\nd\n", "b\nc\nd\nd\n", "b\nb\nd\nc\n", "b\nc\nd\na\n", "b\nc\nc\nd\n", "c\nc\nc\na\n", "c\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nd\nd\n", "c\nc\nd\nd\n", "b\nc\nd\nd\n", "b\nb\nd\nc\n", "b\nc\nd\na\n", "b\nc\nc\nd\n", "c\nc\nc\na\n", "c\nc\nd\nd\n", "b\nc\nc\nd\n", "c\nc\nd\nd\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Create a program to determine the positional relationship between a triangle and a circle on a plane. All target figures shall include boundaries. The triangle is given the position of three vertices, and the circle is given the position of the center and the radius. The position is given by a set of two integers in a Cartesian coordinate system. The radius is also given as an integer. Input A sequence of multiple datasets is given as input. The end of the input is indicated by two lines of zeros. Each dataset is given in the following format: x1 y1 x2 y2 x3 y3 xc yc r The first to third lines are given the coordinates xi, yi of the i-th vertex of the triangle. The coordinates of the center of the circle xc, yc are given on the 4th line, and the radius r of the circle is given on the 5th line. All inputs given are integers greater than or equal to 1 and less than or equal to 10,000. The number of datasets does not exceed 100. Output The judgment result is output to one line in the following format for each input data set. If the circle is included in the triangle a If the triangle is included in the circle b In other cases, if there is an intersection, c D if there is no intersection Example Input 1 1 3 1 3 3 3 2 3 3 12 9 3 11 12 8 7 5 15 3 17 7 22 5 7 6 4 6 11 8 2 16 9 10 8 2 0 0 Output b c d a ### Input: 1 1 3 1 3 3 3 2 3 3 12 9 3 11 12 8 7 5 15 3 17 7 22 5 7 6 4 6 11 8 2 16 9 10 8 2 0 0 ### Output: b c d a ### Input: 1 1 3 1 3 3 3 2 3 3 12 9 3 11 12 8 7 5 15 3 17 7 22 5 7 6 5 6 11 8 2 16 9 10 8 2 0 0 ### Output: b c d a ### Code: def contain(x, y, r): return x**2 + y**2 <= r**2 def outer_p(x0, y0, x1, y1): return (x0*y1 - y0*x1) def line_segment_circle(x0, y0, x1, y1, r, border=True): A = x0**2 + y0**2 B = x0*x1 + y0*y1 C = x1**2 + y1**2 - r**2 D = B**2 - A*C if border: if D < 0: return 0 if B <= 0 and B**2 > D: return 0 if B - A >= 0 and (B - A)**2 > D: return 0 else: if D <= 0: return 0 if B <= 0 and B**2 >= D: return 0 if B - A >= 0 and (B - A)**2 >= D: return 0 return 1 while 1: x1, y1 = map(int, input().split()) if x1 == y1 == 0: break x2, y2 = map(int, input().split()) x3, y3 = map(int, input().split()) cx, cy = map(int, input().split()) r = int(input()) C1 = contain(x1-cx, y1-cy, r) C2 = contain(x2-cx, y2-cy, r) C3 = contain(x3-cx, y3-cy, r) if C1 and C2 and C3: print("b") continue if C1 or C2 or C3: print("c") continue p1 = outer_p(x2-x1, y2-y1, cx-x1, cy-y1) p2 = outer_p(x3-x2, y3-y2, cx-x2, cy-y2) p3 = outer_p(x1-x3, y1-y3, cx-x3, cy-y3) if 1 == (p1 < 0) == (p2 < 0) == (p3 < 0) or 1 == (p1 > 0) == (p2 > 0) == (p3 > 0): p1 = line_segment_circle(x2-x1, y2-y1, cx-x1, cy-y1, r, False) p2 = line_segment_circle(x3-x2, y3-y2, cx-x2, cy-y2, r, False) p3 = line_segment_circle(x1-x3, y1-y3, cx-x3, cy-y3, r, False) if p1 or p2 or p3: print("c") else: print("a") continue p1 = line_segment_circle(x2-x1, y2-y1, cx-x1, cy-y1, r, True) p2 = line_segment_circle(x3-x2, y3-y2, cx-x2, cy-y2, r, True) p3 = line_segment_circle(x1-x3, y1-y3, cx-x3, cy-y3, r, True) if p1 or p2 or p3: print("c") continue print("d")
p00310 The Number of Participants_34480
Welcome to PC Koshien, players. At PC Koshien, competitions are currently being held in a total of three categories: programming category, mobile category, and Ichimai's picture CG category. Given the number of participants in each department, create a program that calculates the total number of participants. Input The input is given in the following format. p m c The input is one line, the number of participants in the programming department p (0 ≤ p ≤ 10000), the number of participants in the mobile department m (0 ≤ m ≤ 10000), the number of participants in the Ichimai picture CG department c (0) ≤ c ≤ 10000) is given. Output Output the total number of participants on one line. Examples Input 10 10 20 Output 40 Input 100 0 0 Output 100 Input 1000 1000 1000 Output 3000
p,m,c=map(int,input().split()) ans=p+m+c print(ans)
{ "input": [ "10 10 20", "100 0 0", "1000 1000 1000", "20 10 20", "100 0 1", "0000 1000 1000", "5 10 20", "110 0 1", "0000 0000 1000", "6 10 20", "110 -1 1", "0001 0000 1000", "6 10 15", "110 0 2", "0101 0000 1000", "010 0 2", "0100 0000 1000", "9 15 15", "0100 0010 1000", "10 15 15", "10 18 15", "010 0 0", "0100 0000 0000", "10 4 15", "000 0 0", "000 0 1", "0101 0100 0000", "10 4 16", "000 0 2", "10 4 1", "0101 1001 0000", "8 4 1", "0101 1001 0100", "8 8 1", "000 -1 0", "0101 1101 0100", "1101 1101 0100", "3 7 1", "101 -1 2", "1101 1101 1100", "6 7 1", "1111 1101 1100", "6 0 1", "1111 1101 1110", "6 -1 1", "1111 0101 1110", "110 -1 0", "1111 0111 1110", "110 -1 -1", "1110 0111 1110", "110 -2 -1", "1110 0101 1110", "110 -4 -1", "1110 0001 1110", "1111 0001 1110", "2 2 -1", "100 -8 -1", "1111 0001 1010", "000 -8 -1", "0111 0001 1010", "2 1 1", "2 2 1", "0110 0101 1010", "0111 0101 1010", "010 0 -2", "011 0 -2", "0110 0100 1010", "0110 0100 0010", "0110 0100 0011", "100 -1 0", "0100 0100 1011", "0100 0100 1001", "0101 0100 0001", "0111 0010 0000", "0111 0010 1000", "0011 0010 1000", "0011 0011 1000", "0 -2 0", "0011 0001 1000", "-1 -2 0", "111 -1 3", "1011 0001 1000", "-2 -2 0", "111 -1 6", "1011 0011 1000", "1001 1011 1000", "1011 1011 1000", "-4 0 -1", "011 0 8", "1011 0001 1100", "-4 -1 -1", "011 0 16", "-4 -1 -2", "011 0 21", "1011 0011 1101", "011 0 10", "1011 0001 1101", "011 1 10", "1001 0001 1100", "-5 -1 -2", "1001 0001 1000", "0001 0001 1000", "0001 1100 0010" ], "output": [ "40", "100", "3000", "50\n", "101\n", "2000\n", "35\n", "111\n", "1000\n", "36\n", "110\n", "1001\n", "31\n", "112\n", "1101\n", "12\n", "1100\n", "39\n", "1110\n", "40\n", "43\n", "10\n", "100\n", "29\n", "0\n", "1\n", "201\n", "30\n", "2\n", "15\n", "1102\n", "13\n", "1202\n", "17\n", "-1\n", "1302\n", "2302\n", "11\n", "102\n", "3302\n", "14\n", "3312\n", "7\n", "3322\n", "6\n", "2322\n", "109\n", "2332\n", "108\n", "2331\n", "107\n", "2321\n", "105\n", "2221\n", "2222\n", "3\n", "91\n", "2122\n", "-9\n", "1122\n", "4\n", "5\n", "1221\n", "1222\n", "8\n", "9\n", "1220\n", "220\n", "221\n", "99\n", "1211\n", "1201\n", "202\n", "121\n", "1121\n", "1021\n", "1022\n", "-2\n", "1012\n", "-3\n", "113\n", "2012\n", "-4\n", "116\n", "2022\n", "3012\n", "3022\n", "-5\n", "19\n", "2112\n", "-6\n", "27\n", "-7\n", "32\n", "2123\n", "21\n", "2113\n", "22\n", "2102\n", "-8\n", "2002\n", "1002\n", "1111\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Welcome to PC Koshien, players. At PC Koshien, competitions are currently being held in a total of three categories: programming category, mobile category, and Ichimai's picture CG category. Given the number of participants in each department, create a program that calculates the total number of participants. Input The input is given in the following format. p m c The input is one line, the number of participants in the programming department p (0 ≤ p ≤ 10000), the number of participants in the mobile department m (0 ≤ m ≤ 10000), the number of participants in the Ichimai picture CG department c (0) ≤ c ≤ 10000) is given. Output Output the total number of participants on one line. Examples Input 10 10 20 Output 40 Input 100 0 0 Output 100 Input 1000 1000 1000 Output 3000 ### Input: 10 10 20 ### Output: 40 ### Input: 100 0 0 ### Output: 100 ### Code: p,m,c=map(int,input().split()) ans=p+m+c print(ans)
p00474 Icicles_34484
problem There are fine icicles under the eaves of JOI's house in Canada. Because of this, JOI decided to investigate the icicles. There are N (2 ≤ N ≤ 100000 = 105) icicles under the eaves of JOI's house. These icicles are aligned and i cm (1 ≤ i ≤ N) from the left edge of the eaves. There are i-th icicles at the position of. The length of the i-th icicle is initially ai cm (ai is an integer greater than or equal to 1). These icicles grow according to the following rule: * The i-th icicles grow by 1 cm per hour only if they are longer than both the i − 1st icicles and the i + 1st icicles (however, consider only one icicle next to one end). That is, the first icicle grows if it is longer than the second icicle, and the Nth icicle grows if it is longer than the N − 1st icicle). * All icicles break from the root the moment they reach L cm (2 ≤ L ≤ 50000) (the broken icicles are subsequently considered to be 0 cm long icicles). In the first stage, the lengths of the two adjacent icicles are all different. At this time, if enough time has passed, all N icicles will break to a length of 0 cm. JOI, I wanted to know how long it would take for the icicles to reach this state. Given the initial length of N icicles and the limit length L of the icicles, write a program that finds the time it takes for all the icicles to break. output The output consists of one line containing only one integer that represents the time it takes for all the icicles to break. Input / output example Input example 1 4 6 Four 2 3 Five Output example 1 8 In the case of Example 1, the 1, 2, 3, and 4 icicles break after 2, 8, 4, and 1 hour, respectively. Therefore, it takes 8 hours for all the icicles to break. Output 8. Input example 2 6 10 3 Four 1 9 Five 1 Output example 2 15 The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input On the first line of the input, the integer N, which represents the number of icicles, and the integer L, which represents the limit length of the icicles, are written in this order, separated by blanks. Input i + line 1 (1 ≤ i) In ≤ N), the integer ai (1 ≤ ai <L) representing the first length of the i-th icicle is written. Of the scoring data, 30% of the points are N ≤ 500 and L ≤ 1000. Example Input 4 6 4 2 3 5 Output 8
def loadIcicle(): icicles = [] line = input().strip().split(" ") N, L = int(line[0]), int(line[1]) while True: icicles.append(int(input().strip())) if len(icicles) == N: break return icicles, N, L icicles, N, L = loadIcicle() def calcDiff(icicles, N): diff_2times = [0]*N for idx in range(N): dif_right = icicles[idx+1] - icicles[idx] if idx != N-1 else -icicles[idx] dif_left = icicles[idx] - icicles[idx-1] if idx != 0 else icicles[idx] dif_right = 1 if dif_right > 0 else -1 dif_left = 1 if dif_left > 0 else -1 if dif_right - dif_left < 0: diff_2times[idx] = -1 elif dif_right - dif_left > 0: diff_2times[idx] = 1 else: diff_2times[idx] = 0 return diff_2times diff_2times = calcDiff(icicles, N) time = [-1]*N peakX = [i for i in range(N) if diff_2times[i]==-1] for i in peakX: time[i] = L - icicles[i] isLocalMinL, isLocalMinR = False, False posL, posR = i, i while not (isLocalMinL and isLocalMinR): posL -= 1 if posL < 0: isLocalMinL = True if not isLocalMinL: if time[posL] == -1: time[posL] = (L-icicles[posL]) + time[posL+1] else: time[posL] = (L-icicles[posL]) + max(time[posL-1], time[posL+1]) if diff_2times[posL] == 1: isLocalMinL = True posR += 1 if posR >= N: isLocalMinR = True if not isLocalMinR: if time[posR] == -1: time[posR] = (L-icicles[posR]) + time[posR-1] else: time[posR] = (L-icicles[posR]) + max(time[posR-1], time[posR+1]) if diff_2times[posR] == 1: isLocalMinR = True print(max(time))
{ "input": [ "4 6\n4\n2\n3\n5", "4 6\n7\n2\n3\n5", "4 6\n4\n1\n3\n5", "1 6\n4\n2\n3\n1", "4 10\n7\n1\n3\n5", "4 11\n5\n2\n3\n5", "4 5\n4\n2\n3\n1", "1 6\n3\n2\n3\n1", "1 6\n2\n2\n3\n1", "4 9\n7\n2\n3\n5", "1 6\n1\n0\n1\n1", "4 11\n5\n2\n1\n5", "1 5\n4\n2\n1\n0", "1 13\n2\n2\n3\n2", "4 13\n3\n1\n3\n5", "1 17\n2\n2\n3\n2", "4 12\n4\n2\n3\n5", "4 6\n5\n1\n3\n4", "4 10\n7\n2\n3\n5", "4 11\n5\n2\n4\n5", "2 6\n3\n2\n3\n1", "1 15\n2\n2\n3\n2", "4 12\n4\n2\n6\n5", "2 10\n4\n2\n3\n1", "4 19\n7\n1\n3\n5", "2 17\n4\n2\n3\n5", "2 11\n2\n1\n3\n0", "1 1\n1\n0\n1\n0", "2 11\n4\n2\n6\n1", "2 10\n6\n2\n3\n1", "2 17\n7\n3\n3\n1", "4 18\n5\n2\n3\n5", "4 17\n3\n1\n3\n5", "4 13\n3\n1\n2\n5", "4 36\n7\n1\n3\n5", "2 17\n4\n3\n3\n5", "2 24\n7\n3\n3\n1", "2 20\n3\n2\n6\n2", "2 30\n7\n6\n3\n0", "4 20\n4\n2\n3\n1", "2 20\n1\n2\n6\n2", "2 30\n14\n6\n3\n0", "2 17\n2\n3\n3\n-1", "1 56\n4\n-1\n-1\n-1", "4 36\n8\n1\n3\n9", "2 38\n14\n6\n0\n0", "1 70\n1\n2\n1\n0", "4 24\n9\n3\n5\n2", "2 71\n14\n6\n0\n0", "4 6\n7\n1\n3\n5", "4 6\n5\n2\n3\n5", "4 6\n8\n1\n3\n5", "4 6\n5\n2\n3\n1", "4 6\n4\n2\n3\n1", "1 6\n4\n2\n0\n1", "1 6\n4\n2\n1\n1", "1 6\n4\n0\n1\n1", "1 6\n2\n1\n3\n1", "4 6\n5\n1\n3\n5", "4 6\n5\n1\n3\n1", "4 6\n7\n2\n3\n1", "1 6\n4\n2\n3\n2", "1 6\n4\n2\n1\n0", "1 6\n3\n1\n3\n1", "1 6\n2\n2\n3\n2", "1 6\n2\n1\n3\n0", "2 9\n7\n2\n3\n5", "4 6\n3\n1\n3\n5", "4 6\n12\n2\n3\n1", "2 6\n4\n2\n3\n2", "1 6\n1\n-1\n1\n1", "1 6\n3\n1\n3\n0", "1 10\n2\n2\n3\n2", "2 17\n7\n2\n3\n5", "4 10\n3\n1\n3\n5", "2 6\n5\n2\n3\n2", "1 7\n4\n2\n1\n0", "1 5\n1\n-1\n1\n1", "2 6\n3\n1\n3\n0", "1 7\n4\n2\n2\n0", "1 5\n1\n0\n1\n1", "1 5\n4\n2\n2\n0", "1 10\n1\n0\n1\n1", "1 17\n2\n2\n6\n2", "1 10\n1\n-1\n1\n1", "1 6\n2\n2\n6\n2", "1 10\n1\n-1\n1\n0", "1 6\n2\n2\n6\n1", "1 5\n1\n-1\n1\n0", "1 6\n4\n2\n6\n1", "1 5\n2\n-1\n1\n0", "1 6\n4\n2\n6\n0", "4 6\n11\n1\n3\n5", "2 6\n4\n2\n3\n1", "1 6\n4\n1\n3\n1", "1 6\n4\n2\n-1\n1", "1 6\n4\n2\n2\n1", "1 6\n4\n0\n0\n1", "1 6\n2\n2\n3\n3", "4 6\n7\n2\n4\n1", "1 6\n4\n3\n1\n0" ], "output": [ "8", "8\n", "9\n", "2\n", "21\n", "23\n", "6\n", "3\n", "4\n", "17\n", "5\n", "25\n", "1\n", "11\n", "30\n", "15\n", "26\n", "10\n", "20\n", "22\n", "7\n", "13\n", "18\n", "14\n", "48\n", "28\n", "19\n", "0\n", "16\n", "12\n", "24\n", "44\n", "42\n", "31\n", "99\n", "27\n", "38\n", "35\n", "47\n", "36\n", "37\n", "40\n", "29\n", "52\n", "95\n", "56\n", "69\n", "41\n", "122\n", "9\n", "8\n", "9\n", "8\n", "8\n", "2\n", "2\n", "2\n", "4\n", "9\n", "8\n", "8\n", "2\n", "2\n", "3\n", "4\n", "4\n", "9\n", "9\n", "8\n", "6\n", "5\n", "3\n", "8\n", "25\n", "21\n", "5\n", "3\n", "4\n", "8\n", "3\n", "4\n", "1\n", "9\n", "15\n", "9\n", "4\n", "9\n", "4\n", "4\n", "2\n", "3\n", "2\n", "9\n", "6\n", "2\n", "2\n", "2\n", "2\n", "4\n", "7\n", "2\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: problem There are fine icicles under the eaves of JOI's house in Canada. Because of this, JOI decided to investigate the icicles. There are N (2 ≤ N ≤ 100000 = 105) icicles under the eaves of JOI's house. These icicles are aligned and i cm (1 ≤ i ≤ N) from the left edge of the eaves. There are i-th icicles at the position of. The length of the i-th icicle is initially ai cm (ai is an integer greater than or equal to 1). These icicles grow according to the following rule: * The i-th icicles grow by 1 cm per hour only if they are longer than both the i − 1st icicles and the i + 1st icicles (however, consider only one icicle next to one end). That is, the first icicle grows if it is longer than the second icicle, and the Nth icicle grows if it is longer than the N − 1st icicle). * All icicles break from the root the moment they reach L cm (2 ≤ L ≤ 50000) (the broken icicles are subsequently considered to be 0 cm long icicles). In the first stage, the lengths of the two adjacent icicles are all different. At this time, if enough time has passed, all N icicles will break to a length of 0 cm. JOI, I wanted to know how long it would take for the icicles to reach this state. Given the initial length of N icicles and the limit length L of the icicles, write a program that finds the time it takes for all the icicles to break. output The output consists of one line containing only one integer that represents the time it takes for all the icicles to break. Input / output example Input example 1 4 6 Four 2 3 Five Output example 1 8 In the case of Example 1, the 1, 2, 3, and 4 icicles break after 2, 8, 4, and 1 hour, respectively. Therefore, it takes 8 hours for all the icicles to break. Output 8. Input example 2 6 10 3 Four 1 9 Five 1 Output example 2 15 The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input On the first line of the input, the integer N, which represents the number of icicles, and the integer L, which represents the limit length of the icicles, are written in this order, separated by blanks. Input i + line 1 (1 ≤ i) In ≤ N), the integer ai (1 ≤ ai <L) representing the first length of the i-th icicle is written. Of the scoring data, 30% of the points are N ≤ 500 and L ≤ 1000. Example Input 4 6 4 2 3 5 Output 8 ### Input: 4 6 4 2 3 5 ### Output: 8 ### Input: 4 6 7 2 3 5 ### Output: 8 ### Code: def loadIcicle(): icicles = [] line = input().strip().split(" ") N, L = int(line[0]), int(line[1]) while True: icicles.append(int(input().strip())) if len(icicles) == N: break return icicles, N, L icicles, N, L = loadIcicle() def calcDiff(icicles, N): diff_2times = [0]*N for idx in range(N): dif_right = icicles[idx+1] - icicles[idx] if idx != N-1 else -icicles[idx] dif_left = icicles[idx] - icicles[idx-1] if idx != 0 else icicles[idx] dif_right = 1 if dif_right > 0 else -1 dif_left = 1 if dif_left > 0 else -1 if dif_right - dif_left < 0: diff_2times[idx] = -1 elif dif_right - dif_left > 0: diff_2times[idx] = 1 else: diff_2times[idx] = 0 return diff_2times diff_2times = calcDiff(icicles, N) time = [-1]*N peakX = [i for i in range(N) if diff_2times[i]==-1] for i in peakX: time[i] = L - icicles[i] isLocalMinL, isLocalMinR = False, False posL, posR = i, i while not (isLocalMinL and isLocalMinR): posL -= 1 if posL < 0: isLocalMinL = True if not isLocalMinL: if time[posL] == -1: time[posL] = (L-icicles[posL]) + time[posL+1] else: time[posL] = (L-icicles[posL]) + max(time[posL-1], time[posL+1]) if diff_2times[posL] == 1: isLocalMinL = True posR += 1 if posR >= N: isLocalMinR = True if not isLocalMinR: if time[posR] == -1: time[posR] = (L-icicles[posR]) + time[posR-1] else: time[posR] = (L-icicles[posR]) + max(time[posR-1], time[posR+1]) if diff_2times[posR] == 1: isLocalMinR = True print(max(time))
p00666 World Domination_34487
Evil organizations that attempt to conquer the world are everywhere, regardless of age, east or west fiction, non-fiction, but what on earth did they try to conquer the world? I suddenly thought about that because I was also planning to conquer the world. The only reason I want to conquer the world is to show the world that I am the best in the field of robotics in the world. I'm not interested in the world after the conquest, and I don't mind giving it to dogs everywhere. I regret to say that there are researchers who are considered to be better than me. The person has an idea. Whoever it is, Dr. Synchronous R in my school days. I admit his achievements, but I don't think he was better than that of mine. However, he was well received by the professors because he was saying something sloppy, such as using robots for peace. Although I missed the president, I'm actually much better. A simple example of its excellence is the combat robot prepared for this world domination. Combat robots have their own weapons according to their characteristics, and the weapons are contained in chips, but this chip has strong compatibility. It's not just compatible with the developers' own other combat robots (that's already achieved by none other than Dr. R). The great thing about my chip is that it's also compatible with Dr. R's housework robot. The housework robot is a one-off model not for sale, so I developed a compatible chip without knowing the robot's design. I have to say that it is a divine work. Some people call this spec a wasteful spec for the enemy, but it's a silly idea. I'm developing a combat robot to show my excellence. It's not just about winning. Let's return to the world domination plan. I built n combat robots, each with one different weapon chip installed. He intends to use it to seize the world's major facilities, but Dr. R will send in a robot to help with his housework to thwart the plan. The domestic help robot challenges my combat robot with its own weapon, but each battle takes a unit of time, and as a result of the battle, one of the robots is defeated and destroyed. If my robot is destroyed as a result of a battle, the robot's weapon chips will be stolen by the opponent. The weapon chip of one of my robots is the weakness of one of my other robots, and every my robot has only one weakness of the weapon chip. For each of my robots, I can estimate the probability of defeat if the opponent has the weakness weapon of that robot and the probability of defeat if they do not. If the opponent's housework robot is destroyed as a result of the battle, Dr. R will send the same housework robot through the spare body transfer system. At this time, the weapon chips already obtained by the opponent's robot are not lost. Dr. R uses the spare body transfer system indefinitely, but I can repair my combat robot in the meantime, so the probability of defeat described above does not change no matter how many times I fight. Also, the spare body transfer system can only be used where the housework robot was destroyed when it was destroyed, so the housework robot cannot challenge another of my combat robots immediately after being defeated. It's only a matter of time before all n combat robots are destroyed, as Dr. R has unlimited spare body transfer systems. So, behind the scenes of fighting combat robots, I will work on developing more robots that can destroy the entire spare body transfer system. But how much time do I have left? How long would it take for Dr. R's robot to take the fastest strategy to destroy my n robots? You have to calculate it first. By the way, I would like to confirm how many such robots are defeated. Input The input consists of multiple cases. Each case is given in the following format. n p0 id0 w0 p1 id1 w1 .. .. .. p1 idn-1 wn-1 pi represents the probability that the i-th combat robot will be defeated when the opponent does not have a weak weapon. idi represents a combat robot that has a weapon that is the weakness of the i-th combat robot. wi represents the probability that the i-th combat robot will be defeated when the opponent has a weak weapon. The end of the input is given by n = 0. Each value meets the following conditions 2 ≤ n ≤ 100 pi and wi are represented by numbers with three decimal places. 0.001 ≤ pi <wi ≤ 1.000 idi! = i The number of test cases does not exceed 500. Output Output the expected value of the time until the n combat robots are destroyed and the remainder of dividing the number of combinations of the destruction order by 1000000007 with a blank. The expected value has an error of up to 1e-9 from the answer prepared by the judge. Example Input 4 0.200 3 0.500 0.100 0 0.400 0.900 1 1.000 0.400 2 0.600 2 0.600 1 0.800 0.500 0 1.000 9 0.200 7 0.600 0.400 0 0.500 0.700 8 1.000 0.100 4 0.400 0.200 2 0.600 0.100 6 0.400 0.100 5 0.400 0.600 3 0.900 0.500 1 0.900 9 0.300 8 0.900 0.700 3 0.800 0.300 0 0.900 0.700 6 0.800 0.200 5 0.700 0.200 2 0.700 0.700 4 0.800 0.700 1 0.800 0.300 7 0.900 0 Output 7.27777777778 1 2.66666666667 1 23.98412698413 72 11.36904761905 4
E = 10 ** -9 MOD = 100000007 fact_result = {} while True: n = int(input()) if n == 0: break plst = [] wlst = [] diff = [] to = [None for _ in range(n)] for i in range(n): p, Id, w = input().split() to[i] = int(Id) plst.append(float(p)) wlst.append(float(w)) diff.append(1 / float(w) - 1 / float(p)) def elapsed_time(group): ret = 0 ret += 1 / plst[group[0]] for g in group[1:]: ret += 1 / wlst[g] return ret def init_comb(group): d = diff[group[0]] ret = 0 for g in group: if abs(diff[g] - d) < E: ret += 1 return ret def fact(n): if n == 0: return 1 if n in fact_result: return fact_result[n] fact_result[n] = n * fact(n - 1) return fact_result[n] used = [False] * n time = 0 comb = fact(n) group_cnt = 0 for i in range(n): if used[i]: continue group_cnt += 1 group = [i] used[i] = True nex = to[i] while not used[nex]: group.append(nex) used[nex] = True nex = to[nex] group.sort(key=lambda x:-diff[x]) time += elapsed_time(group) comb //= fact(len(group)) comb *= init_comb(group) print(time, comb % MOD)
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36\n10.027114504077 1\n", "6.023531575498 1\n2.666666666667 1\n18.398842999546 36\n10.665785514391 1\n", "5.993417306595 1\n2.666666666667 1\n18.940352169255 36\n9.373824186853 1\n", "5.435065994004 1\n1.673407617141 1\n16.839523107795 36\n10.594183902956 1\n", "6.023531575498 1\n2.666666666667 1\n15.477549720188 36\n11.369047619048 4\n", "5.993417306595 1\n2.666666666667 1\n17.676346563416 36\n9.373824186853 1\n", "5.993417306595 1\n1.643370005955 1\n15.092100332018 36\n10.704999807482 1\n", "5.435065994004 1\n1.673407617141 1\n16.839523107795 36\n10.449930544709 1\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Evil organizations that attempt to conquer the world are everywhere, regardless of age, east or west fiction, non-fiction, but what on earth did they try to conquer the world? I suddenly thought about that because I was also planning to conquer the world. The only reason I want to conquer the world is to show the world that I am the best in the field of robotics in the world. I'm not interested in the world after the conquest, and I don't mind giving it to dogs everywhere. I regret to say that there are researchers who are considered to be better than me. The person has an idea. Whoever it is, Dr. Synchronous R in my school days. I admit his achievements, but I don't think he was better than that of mine. However, he was well received by the professors because he was saying something sloppy, such as using robots for peace. Although I missed the president, I'm actually much better. A simple example of its excellence is the combat robot prepared for this world domination. Combat robots have their own weapons according to their characteristics, and the weapons are contained in chips, but this chip has strong compatibility. It's not just compatible with the developers' own other combat robots (that's already achieved by none other than Dr. R). The great thing about my chip is that it's also compatible with Dr. R's housework robot. The housework robot is a one-off model not for sale, so I developed a compatible chip without knowing the robot's design. I have to say that it is a divine work. Some people call this spec a wasteful spec for the enemy, but it's a silly idea. I'm developing a combat robot to show my excellence. It's not just about winning. Let's return to the world domination plan. I built n combat robots, each with one different weapon chip installed. He intends to use it to seize the world's major facilities, but Dr. R will send in a robot to help with his housework to thwart the plan. The domestic help robot challenges my combat robot with its own weapon, but each battle takes a unit of time, and as a result of the battle, one of the robots is defeated and destroyed. If my robot is destroyed as a result of a battle, the robot's weapon chips will be stolen by the opponent. The weapon chip of one of my robots is the weakness of one of my other robots, and every my robot has only one weakness of the weapon chip. For each of my robots, I can estimate the probability of defeat if the opponent has the weakness weapon of that robot and the probability of defeat if they do not. If the opponent's housework robot is destroyed as a result of the battle, Dr. R will send the same housework robot through the spare body transfer system. At this time, the weapon chips already obtained by the opponent's robot are not lost. Dr. R uses the spare body transfer system indefinitely, but I can repair my combat robot in the meantime, so the probability of defeat described above does not change no matter how many times I fight. Also, the spare body transfer system can only be used where the housework robot was destroyed when it was destroyed, so the housework robot cannot challenge another of my combat robots immediately after being defeated. It's only a matter of time before all n combat robots are destroyed, as Dr. R has unlimited spare body transfer systems. So, behind the scenes of fighting combat robots, I will work on developing more robots that can destroy the entire spare body transfer system. But how much time do I have left? How long would it take for Dr. R's robot to take the fastest strategy to destroy my n robots? You have to calculate it first. By the way, I would like to confirm how many such robots are defeated. Input The input consists of multiple cases. Each case is given in the following format. n p0 id0 w0 p1 id1 w1 .. .. .. p1 idn-1 wn-1 pi represents the probability that the i-th combat robot will be defeated when the opponent does not have a weak weapon. idi represents a combat robot that has a weapon that is the weakness of the i-th combat robot. wi represents the probability that the i-th combat robot will be defeated when the opponent has a weak weapon. The end of the input is given by n = 0. Each value meets the following conditions 2 ≤ n ≤ 100 pi and wi are represented by numbers with three decimal places. 0.001 ≤ pi <wi ≤ 1.000 idi! = i The number of test cases does not exceed 500. Output Output the expected value of the time until the n combat robots are destroyed and the remainder of dividing the number of combinations of the destruction order by 1000000007 with a blank. The expected value has an error of up to 1e-9 from the answer prepared by the judge. Example Input 4 0.200 3 0.500 0.100 0 0.400 0.900 1 1.000 0.400 2 0.600 2 0.600 1 0.800 0.500 0 1.000 9 0.200 7 0.600 0.400 0 0.500 0.700 8 1.000 0.100 4 0.400 0.200 2 0.600 0.100 6 0.400 0.100 5 0.400 0.600 3 0.900 0.500 1 0.900 9 0.300 8 0.900 0.700 3 0.800 0.300 0 0.900 0.700 6 0.800 0.200 5 0.700 0.200 2 0.700 0.700 4 0.800 0.700 1 0.800 0.300 7 0.900 0 Output 7.27777777778 1 2.66666666667 1 23.98412698413 72 11.36904761905 4 ### Input: 4 0.200 3 0.500 0.100 0 0.400 0.900 1 1.000 0.400 2 0.600 2 0.600 1 0.800 0.500 0 1.000 9 0.200 7 0.600 0.400 0 0.500 0.700 8 1.000 0.100 4 0.400 0.200 2 0.600 0.100 6 0.400 0.100 5 0.400 0.600 3 0.900 0.500 1 0.900 9 0.300 8 0.900 0.700 3 0.800 0.300 0 0.900 0.700 6 0.800 0.200 5 0.700 0.200 2 0.700 0.700 4 0.800 0.700 1 0.800 0.300 7 0.900 0 ### Output: 7.27777777778 1 2.66666666667 1 23.98412698413 72 11.36904761905 4 ### Input: 4 0.200 3 0.500 0.100 0 0.400 0.900 1 1.000 0.400 2 0.600 2 0.600 1 0.800 0.500 0 1.000 9 0.200 7 0.600 0.400 0 0.500 0.700 8 1.000 0.100 4 0.400 0.200 2 0.600 0.100 6 0.400 0.18676017117330992 5 0.400 0.600 3 0.900 0.500 1 0.900 9 0.300 8 0.900 0.700 3 0.800 0.300 0 0.900 0.700 6 0.800 0.200 5 0.700 0.200 2 0.700 0.700 4 0.800 0.700 1 0.800 0.300 7 0.900 0 ### Output: 7.277777777778 1 2.666666666667 1 19.338587700872 36 11.369047619048 4 ### Code: E = 10 ** -9 MOD = 100000007 fact_result = {} while True: n = int(input()) if n == 0: break plst = [] wlst = [] diff = [] to = [None for _ in range(n)] for i in range(n): p, Id, w = input().split() to[i] = int(Id) plst.append(float(p)) wlst.append(float(w)) diff.append(1 / float(w) - 1 / float(p)) def elapsed_time(group): ret = 0 ret += 1 / plst[group[0]] for g in group[1:]: ret += 1 / wlst[g] return ret def init_comb(group): d = diff[group[0]] ret = 0 for g in group: if abs(diff[g] - d) < E: ret += 1 return ret def fact(n): if n == 0: return 1 if n in fact_result: return fact_result[n] fact_result[n] = n * fact(n - 1) return fact_result[n] used = [False] * n time = 0 comb = fact(n) group_cnt = 0 for i in range(n): if used[i]: continue group_cnt += 1 group = [i] used[i] = True nex = to[i] while not used[nex]: group.append(nex) used[nex] = True nex = to[nex] group.sort(key=lambda x:-diff[x]) time += elapsed_time(group) comb //= fact(len(group)) comb *= init_comb(group) print(time, comb % MOD)
p00940 Deadlock Detection_34492
Example Input 2 2 7 3 4 3 2 1 3 1 1 2 2 1 2 2 1 1 2 2 2 1 1 Output 5
import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): P, R, T = map(int, readline().split()) *L, = map(int, readline().split()) RS = [list(map(int, readline().split())) for i in range(P)] LG = [list(map(int, input().split())) for i in range(T)] prv = -1 K = [[0]*R for i in range(P)] def check(t): nonlocal prv if prv < t: for i in range(prv+1, t+1): p, r = LG[i] K[p-1][r-1] += 1 L[r-1] -= 1 else: for i in range(t+1, prv+1): p, r = LG[i] K[p-1][r-1] -= 1 L[r-1] += 1 S = L[:]; U = [0]*P updated = 1 while updated: updated = 0 for i in range(P): if U[i]: continue for j in range(R): if RS[i][j] - K[i][j] > max(S[j], 0): break else: U[i] = 1 for j in range(R): S[j] += K[i][j] updated = 1 prv = t return sum(U) == P left = 0; right = T while left+1 < right: mid = (left + right) >> 1 if check(mid): left = mid else: right = mid if right == T: write("-1\n") else: write("%d\n" % (right+1)) solve()
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0\n1 1\n2 2\n2 2\n2 1\n1 2\n4 2\n1 0", "4 2 4\n10 4\n1 2\n1 1\n1 1\n0 2\n2 2\n3 1\n1 2\n2 2\n0 2", "4 2 5\n3 10\n3 2\n1 3\n1 2\n2 2\n2 2\n2 1\n2 2\n3 2\n1 1", "4 2 4\n3 4\n3 2\n1 0\n1 1\n2 2\n2 2\n4 1\n1 2\n4 2\n1 0", "4 2 5\n3 10\n3 2\n1 2\n1 2\n2 2\n2 2\n2 1\n2 2\n3 2\n1 1", "2 2 7\n3 4\n3 2\n1 2\n1 1\n2 2\n1 2\n2 1\n1 2\n2 2\n1 1", "2 2 7\n3 4\n3 2\n1 3\n1 2\n2 2\n1 2\n2 1\n1 2\n2 4\n1 1", "2 2 7\n5 5\n3 2\n-1 3\n1 1\n2 2\n1 2\n2 1\n1 2\n2 2\n1 1", "4 2 4\n3 6\n3 2\n1 3\n1 1\n2 2\n1 2\n2 1\n1 2\n2 2\n1 1", "4 2 4\n3 4\n1 2\n1 3\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1", "2 2 7\n4 5\n3 2\n1 3\n2 1\n2 2\n1 2\n2 1\n1 2\n2 2\n1 1", "4 2 7\n3 4\n3 2\n1 3\n1 1\n2 2\n1 2\n2 1\n1 2\n2 2\n1 3", "4 2 7\n3 4\n3 2\n0 3\n1 1\n2 3\n1 2\n2 1\n1 2\n2 2\n1 1", "4 2 4\n5 4\n1 2\n1 3\n1 1\n2 2\n2 2\n1 1\n1 2\n2 2\n1 1", "4 2 4\n3 4\n3 0\n1 3\n1 1\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1", "4 2 4\n5 4\n1 2\n2 3\n1 1\n2 2\n2 2\n2 1\n1 2\n2 1\n1 1", "2 2 7\n5 5\n3 2\n1 3\n1 1\n2 1\n1 2\n1 1\n1 2\n2 2\n1 1", "4 2 7\n3 4\n3 2\n2 3\n1 1\n0 2\n1 2\n2 1\n1 2\n2 2\n1 1", "2 2 7\n5 5\n3 2\n1 1\n2 1\n2 2\n1 2\n2 1\n1 2\n1 2\n1 1", "4 2 4\n3 8\n3 0\n1 3\n1 1\n2 2\n2 2\n2 1\n1 2\n2 2\n1 1", "2 2 7\n5 5\n1 4\n0 5\n1 1\n2 1\n1 2\n2 1\n1 2\n2 1\n1 1", "4 2 4\n5 4\n1 2\n1 1\n0 1\n2 1\n2 2\n2 1\n1 2\n2 2\n0 1", "4 2 4\n5 4\n1 2\n1 1\n0 1\n2 2\n2 2\n2 1\n1 2\n4 2\n0 2", "4 2 4\n5 4\n0 2\n1 1\n0 1\n2 2\n2 2\n4 1\n1 2\n2 2\n0 2", "2 2 7\n5 4\n2 2\n1 3\n1 1\n2 2\n1 2\n2 1\n1 1\n2 2\n1 1", "2 2 7\n5 3\n3 2\n0 3\n1 1\n2 2\n1 2\n2 1\n1 2\n2 1\n1 1", "2 2 7\n5 5\n1 2\n0 2\n1 1\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1", "4 2 7\n3 4\n3 2\n1 3\n1 1\n3 0\n1 2\n2 1\n1 2\n2 2\n1 2", "4 2 4\n5 4\n1 4\n1 3\n1 1\n2 2\n2 2\n2 1\n1 2\n2 2\n1 2", "4 2 4\n5 4\n0 2\n1 3\n1 1\n0 2\n2 2\n2 1\n1 2\n2 2\n0 1", "4 2 4\n3 8\n3 1\n1 3\n1 1\n2 2\n2 2\n2 1\n1 2\n2 1\n1 0", "4 2 7\n3 4\n3 2\n1 3\n2 2\n3 3\n1 2\n2 1\n1 2\n2 2\n1 1", "4 2 4\n3 10\n3 2\n1 2\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1", "4 2 4\n5 4\n1 2\n1 3\n1 1\n2 0\n2 2\n2 1\n1 2\n2 2\n1 0" ], "output": [ "5", "-1\n", "4\n", "3\n", "5\n", "6\n", "-1\n", "-1\n", "-1\n", "4\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "4\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "-1\n", "-1\n", "3\n", "-1\n", "-1\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Example Input 2 2 7 3 4 3 2 1 3 1 1 2 2 1 2 2 1 1 2 2 2 1 1 Output 5 ### Input: 2 2 7 3 4 3 2 1 3 1 1 2 2 1 2 2 1 1 2 2 2 1 1 ### Output: 5 ### Input: 2 2 7 5 4 3 2 1 3 1 1 2 2 1 2 2 1 1 2 2 2 1 1 ### Output: -1 ### Code: import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): P, R, T = map(int, readline().split()) *L, = map(int, readline().split()) RS = [list(map(int, readline().split())) for i in range(P)] LG = [list(map(int, input().split())) for i in range(T)] prv = -1 K = [[0]*R for i in range(P)] def check(t): nonlocal prv if prv < t: for i in range(prv+1, t+1): p, r = LG[i] K[p-1][r-1] += 1 L[r-1] -= 1 else: for i in range(t+1, prv+1): p, r = LG[i] K[p-1][r-1] -= 1 L[r-1] += 1 S = L[:]; U = [0]*P updated = 1 while updated: updated = 0 for i in range(P): if U[i]: continue for j in range(R): if RS[i][j] - K[i][j] > max(S[j], 0): break else: U[i] = 1 for j in range(R): S[j] += K[i][j] updated = 1 prv = t return sum(U) == P left = 0; right = T while left+1 < right: mid = (left + right) >> 1 if check(mid): left = mid else: right = mid if right == T: write("-1\n") else: write("%d\n" % (right+1)) solve()
p01073 Potatoes_34494
Problem Gaccho owns an N-sided field and M potatoes. Each field is numbered from 1 to N. Gaccho wants to increase the number of potatoes by planting and harvesting potatoes in the field. Gaccho lives alone and can only manage fields up to the K side. In addition, the soil condition and area of ​​each field vary, and the number of potatoes harvested and the number of potatoes that can be planted also vary. When potatoes are planted in field i, ai potatoes can be harvested for each potato planted in field i one year later. However, only bi potatoes can be planted in the field i at the maximum. When you plant M or less potatoes in a field within K side, please find the maximum number of potatoes you can own one year later. Constraints * 1 ≤ N ≤ 15 * 1 ≤ M ≤ 104 * 1 ≤ K ≤ min (N, 3) * 1 ≤ ai ≤ 103 * 1 ≤ bi ≤ 104 Input The input is given in the following format. NMK a1 a2 ... aN b1 b2 ... bN Three integers N, M, K are given on the first line, separated by blanks. N integers ai are given on the second line, separated by blanks. N integers bi are given on the third line, separated by blanks. Output Output the maximum number of potatoes in one line. Examples Input 5 100 3 2 3 4 5 6 50 40 20 10 5 Output 280 Input 5 100 3 2 3 4 5 100 50 40 20 10 1 Output 339
n, m, k = map(int, input().split()) aList = list(map(int, input().split())) bList = list(map(int, input().split())) abList = sorted(tuple(zip(aList, bList)), key=lambda x:-x[0]) ans = 0 #dp[y][x] ... y面x個の最大値 dp = [[0] * (m + 1) for _ in range(k + 1)] for a, b in abList: for y in range(k - 1, -1, -1): for x in range(m - 1, -1, -1): use = min(b, m - x) dp[y + 1][x + use] = max(dp[y + 1][x + use], dp[y][x] + use * a) ans = 0 for y in range(k + 1): for x in range(m + 1): ans = max(ans, dp[y][x] + m - x) print(ans)
{ "input": [ "5 100 3\n2 3 4 5 6\n50 40 20 10 5", "5 100 3\n2 3 4 5 100\n50 40 20 10 1", "5 100 3\n2 3 4 5 4\n50 40 20 10 5", "5 100 3\n2 2 4 5 100\n50 40 20 10 1", "5 100 3\n2 2 4 5 110\n50 40 20 10 1", "5 110 3\n2 2 4 5 110\n50 40 20 10 1", "5 110 3\n2 3 4 5 110\n50 40 20 10 1", "5 100 3\n-1 3 4 5 4\n50 40 12 10 1", "5 100 3\n-1 3 4 5 4\n50 15 12 10 1", "5 010 3\n2 3 4 3 110\n50 40 20 10 1", "5 100 3\n-1 3 4 5 4\n50 21 12 10 1", "5 010 3\n2 3 4 3 110\n50 40 3 10 1", "5 000 3\n-1 3 4 5 4\n50 21 12 10 1", "5 001 3\n-1 3 4 5 4\n50 21 12 10 1", "5 001 3\n-1 3 4 5 7\n50 21 5 10 1", "5 010 3\n2 1 6 3 110\n4 40 5 10 1", "5 110 3\n2 1 6 3 110\n4 40 5 10 1", "5 110 3\n2 1 6 3 110\n1 50 7 10 1", "5 110 3\n2 1 6 3 110\n1 50 7 2 1", "5 110 3\n2 1 11 3 110\n1 24 7 2 1", "5 110 3\n2 1 11 2 110\n1 1 7 2 1", "5 110 3\n2 1 11 2 110\n1 1 7 1 1", "5 110 3\n2 1 11 4 110\n1 1 7 1 1", "5 010 3\n2 1 11 4 110\n1 1 7 1 1", "5 010 4\n2 1 11 4 110\n1 1 7 1 1", "5 010 4\n2 1 11 4 110\n1 1 14 1 1", "5 010 4\n2 1 9 4 110\n0 1 15 1 1", "2 010 4\n2 1 9 4 110\n0 1 15 1 1", "2 011 4\n2 1 9 4 111\n0 2 15 1 1", "2 011 4\n2 2 9 3 011\n0 2 35 0 1", "2 011 4\n4 2 9 3 011\n0 1 35 0 0", "2 010 4\n4 2 9 5 111\n-1 1 35 0 0", "5 100 3\n2 3 4 5 6\n50 40 20 18 5", "5 100 3\n-1 3 4 0 4\n50 40 20 10 5", "5 110 2\n2 2 4 5 110\n50 40 20 10 1", "5 110 3\n3 3 4 3 110\n50 40 20 10 1", "5 010 3\n2 3 4 3 100\n50 40 20 10 1", "3 001 3\n-1 3 4 5 4\n50 21 12 10 1", "5 010 3\n2 1 6 3 110\n4 40 3 10 2", "5 001 3\n-1 3 4 5 13\n50 21 5 10 1", "5 110 3\n2 1 11 3 110\n1 40 5 10 1", "5 110 3\n2 1 6 3 100\n1 50 5 10 1", "5 110 3\n2 1 6 3 110\n1 50 7 8 1", "5 110 3\n2 1 7 3 110\n1 24 7 2 1", "5 110 3\n2 1 11 5 110\n1 1 7 2 1", "5 110 3\n2 1 11 4 110\n1 1 0 1 1", "4 010 3\n2 1 11 4 110\n1 1 7 1 1", "5 010 4\n2 1 11 4 111\n1 1 7 1 1", "5 010 4\n2 1 11 4 010\n1 1 14 1 1", "3 011 4\n2 1 9 4 011\n0 2 22 1 1", "2 011 4\n8 2 9 5 111\n0 1 35 0 0", "5 100 5\n2 3 4 5 100\n50 23 20 10 1", "5 110 2\n2 4 4 5 110\n50 40 20 10 1", "5 100 3\n-1 0 6 5 4\n50 40 12 10 1", "5 010 3\n2 3 6 3 100\n50 40 20 10 1", "5 100 3\n-1 3 4 5 4\n50 36 12 10 1", "5 010 3\n2 3 5 3 110\n83 40 3 10 1", "3 001 3\n-1 6 4 5 4\n50 21 12 10 1", "5 010 3\n1 1 4 3 111\n4 40 3 10 1", "5 110 5\n4 1 6 3 110\n4 40 5 10 1", "5 100 3\n2 1 6 3 100\n1 50 5 10 1", "5 110 3\n2 1 6 3 010\n1 50 7 8 1", "5 010 3\n2 1 7 3 110\n1 24 7 2 1", "5 110 3\n2 1 11 2 110\n1 1 11 0 1", "4 010 1\n2 1 11 4 110\n1 1 7 1 1", "3 011 4\n2 1 9 3 011\n0 4 22 1 1", "2 001 4\n2 2 9 3 001\n0 1 35 0 0", "2 011 4\n8 2 13 5 111\n0 1 35 0 0", "2 011 4\n8 3 9 5 111\n-1 1 35 0 0", "5 100 5\n2 2 4 6 100\n50 6 20 10 1", "5 100 3\n0 3 4 0 4\n50 40 4 10 5", "3 110 2\n2 4 4 5 110\n50 40 20 10 1", "5 011 3\n2 3 6 3 100\n50 40 20 10 1", "5 010 3\n2 1 6 3 100\n1 40 3 10 2", "5 001 3\n-1 3 4 3 18\n50 21 5 10 1", "5 010 3\n2 1 5 3 110\n4 34 5 12 1", "5 110 5\n4 1 6 3 100\n4 40 5 10 1", "5 110 3\n2 1 6 3 010\n1 50 7 5 1", "5 110 3\n2 1 11 2 110\n1 1 11 0 2", "4 010 4\n2 2 11 4 110\n1 2 15 1 1", "5 011 4\n1 1 11 4 010\n2 1 15 1 1", "5 010 5\n2 2 11 4 110\n0 1 8 1 1", "2 011 4\n1 1 9 3 011\n0 2 4 0 1", "2 010 4\n8 2 9 1 111\n-1 0 38 0 0", "5 100 3\n2 3 6 5 12\n50 40 20 18 5", "5 100 3\n2 3 4 1 4\n5 40 20 16 4", "5 100 5\n2 2 4 6 100\n50 6 20 2 1", "5 100 3\n1 3 4 5 4\n49 0 20 10 5", "5 100 3\n2 2 4 5 110\n15 31 27 0 1", "5 100 1\n0 3 4 0 4\n50 40 4 10 5", "5 100 3\n-1 3 4 9 4\n97 40 12 10 2", "5 100 3\n1 3 4 3 110\n50 40 20 10 1", "5 100 3\n-2 3 4 1 2\n50 15 12 10 1", "5 100 3\n-1 3 2 5 4\n50 36 12 10 0", "5 110 3\n2 1 4 3 111\n4 40 3 10 1", "5 110 3\n4 1 6 1 110\n1 31 7 2 0", "5 110 3\n2 1 6 3 111\n2 9 7 2 1", "4 011 4\n2 1 2 4 010\n0 2 22 1 1", "3 011 4\n8 2 13 5 111\n0 1 35 0 -1", "5 100 3\n2 3 6 8 12\n50 40 20 18 5", "5 100 3\n2 3 4 1 4\n5 40 27 16 4", "5 100 5\n2 2 4 6 100\n50 6 20 4 1" ], "output": [ "280", "339", "280\n", "309\n", "319\n", "329\n", "359\n", "256\n", "206\n", "146\n", "218\n", "140\n", "0\n", "5\n", "7\n", "152\n", "264\n", "274\n", "258\n", "293\n", "291\n", "290\n", "292\n", "192\n", "193\n", "209\n", "191\n", "19\n", "20\n", "22\n", "40\n", "38\n", "312\n", "255\n", "279\n", "399\n", "136\n", "4\n", "253\n", "13\n", "289\n", "254\n", "270\n", "265\n", "297\n", "223\n", "43\n", "194\n", "110\n", "15\n", "76\n", "391\n", "339\n", "203\n", "154\n", "248\n", "143\n", "6\n", "141\n", "276\n", "244\n", "170\n", "165\n", "330\n", "31\n", "14\n", "2\n", "88\n", "78\n", "365\n", "207\n", "440\n", "160\n", "233\n", "18\n", "147\n", "266\n", "164\n", "439\n", "54\n", "121\n", "202\n", "11\n", "74\n", "352\n", "252\n", "325\n", "215\n", "321\n", "180\n", "296\n", "349\n", "167\n", "224\n", "249\n", "148\n", "259\n", "44\n", "52\n", "406\n", "273\n", "335\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Problem Gaccho owns an N-sided field and M potatoes. Each field is numbered from 1 to N. Gaccho wants to increase the number of potatoes by planting and harvesting potatoes in the field. Gaccho lives alone and can only manage fields up to the K side. In addition, the soil condition and area of ​​each field vary, and the number of potatoes harvested and the number of potatoes that can be planted also vary. When potatoes are planted in field i, ai potatoes can be harvested for each potato planted in field i one year later. However, only bi potatoes can be planted in the field i at the maximum. When you plant M or less potatoes in a field within K side, please find the maximum number of potatoes you can own one year later. Constraints * 1 ≤ N ≤ 15 * 1 ≤ M ≤ 104 * 1 ≤ K ≤ min (N, 3) * 1 ≤ ai ≤ 103 * 1 ≤ bi ≤ 104 Input The input is given in the following format. NMK a1 a2 ... aN b1 b2 ... bN Three integers N, M, K are given on the first line, separated by blanks. N integers ai are given on the second line, separated by blanks. N integers bi are given on the third line, separated by blanks. Output Output the maximum number of potatoes in one line. Examples Input 5 100 3 2 3 4 5 6 50 40 20 10 5 Output 280 Input 5 100 3 2 3 4 5 100 50 40 20 10 1 Output 339 ### Input: 5 100 3 2 3 4 5 6 50 40 20 10 5 ### Output: 280 ### Input: 5 100 3 2 3 4 5 100 50 40 20 10 1 ### Output: 339 ### Code: n, m, k = map(int, input().split()) aList = list(map(int, input().split())) bList = list(map(int, input().split())) abList = sorted(tuple(zip(aList, bList)), key=lambda x:-x[0]) ans = 0 #dp[y][x] ... y面x個の最大値 dp = [[0] * (m + 1) for _ in range(k + 1)] for a, b in abList: for y in range(k - 1, -1, -1): for x in range(m - 1, -1, -1): use = min(b, m - x) dp[y + 1][x + use] = max(dp[y + 1][x + use], dp[y][x] + use * a) ans = 0 for y in range(k + 1): for x in range(m + 1): ans = max(ans, dp[y][x] + m - x) print(ans)
p01511 Three-way Branch_34500
There is a grid that consists of W \times H cells. The upper-left-most cell is (1, 1). You are standing on the cell of (1,1) and you are going to move to cell of (W, H). You can only move to adjacent lower-left, lower or lower-right cells. There are obstructions on several cells. You can not move to it. You cannot move out the grid, either. Write a program that outputs the number of ways to reach (W,H) modulo 1,000,000,009. You can assume that there is no obstruction at (1,1). Input The first line contains three integers, the width W, the height H, and the number of obstructions N. (1 \leq W \leq 75, 2 \leq H \leq 10^{18}, 0 \leq N \leq 30) Each of following N lines contains 2 integers, denoting the position of an obstruction (x_i, y_i). The last test case is followed by a line containing three zeros. Output For each test case, print its case number and the number of ways to reach (W,H) modulo 1,000,000,009. Example Input 2 4 1 2 1 2 2 1 2 2 0 0 0 Output Case 1: 4 Case 2: 0
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**13 mod = 10**9+9 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) class Matrix(): def __init__(self, A): self.A = A self.row = len(A) self.col = len(A[0]) def __iter__(self): return self.A.__iter__() def __getitem__(self, i): return self.A.__getitem__(i) def __add__(self, B): aa = self.A bb = B.A return Matrix([[aa[i][j] + bb[i][j] for j in range(self.col)] for i in range(self.row)]) def __sub__(self, B): aa = self.A bb = B.A return Matrix([[aa[i][j] - bb[i][j] for j in range(self.col)] for i in range(self.row)]) def __mul__(self, B): bb = [[B.A[j][i] for j in range(B.row)] for i in range(B.col)] return Matrix([[sum([ak * bk for ak,bk in zip(ai,bj)]) % mod for bj in bb] for ai in self.A]) def __truediv__(self, x): pass def pow_init(self, a): self.PA = pa = {} t = self.pow(a[0]) c = a[0] pa[c] = t for d in a[1:]: t = t * self.pow(d-c) pa[d] = t c = d def pow(self, n): if n in self.PA: return self.PA[n] A = self r = Matrix([[0 if j != i else 1 for j in range(self.row)] for i in range(self.row)]) while n > 0: if n % 2 == 1: r = r * A A = A * A n //= 2 return r def __str__(self): return self.A.__str__() def main(): rr = [] def f(w,h,n): a = sorted([LI()[::-1] for _ in range(n)]) aa = [[0]*w for _ in range(w)] for i in range(w): ai = aa[i] ai[i] = 1 if i > 0: ai[i-1] = 1 if i < w-1: ai[i+1] = 1 A = Matrix(aa) A.pow_init(list(map(lambda x: x[0], a)) + [h]) t = [[0] for _ in range(w)] t[0][0] = 1 T = Matrix(t) c = 1 for hi,wi in a: T = A.pow(hi-c) * T T.A[wi-1][0] = 0 c = hi T = A.pow(h-c) * T return T.A[-1][0] ci = 0 while 1: ci += 1 n,m,l = LI() if n == 0: break rr.append('Case {}: {}'.format(ci, f(n,m,l))) return '\n'.join(map(str, rr)) print(main())
{ "input": [ "2 4 1\n2 1\n2 2 1\n2 2\n0 0 0", "2 4 1\n2 1\n4 2 1\n2 2\n0 0 0", "2 4 1\n2 1\n2 2 1\n2 1\n0 0 0", "2 6 1\n2 1\n4 2 1\n2 2\n0 0 0", "2 6 1\n2 1\n4 2 0\n2 2\n0 0 0", "3 4 1\n2 1\n4 2 1\n2 2\n0 0 0", "2 2 1\n2 1\n2 2 1\n2 1\n0 0 0", "2 4 1\n2 2\n2 2 1\n2 2\n0 0 0", "3 4 1\n2 1\n4 2 0\n2 2\n0 0 0", "2 6 1\n2 1\n3 4 1\n2 2\n0 0 0", "2 6 1\n2 1\n3 5 1\n2 2\n0 0 0", "2 6 1\n2 1\n3 10 1\n2 2\n0 0 0", "4 4 1\n2 2\n2 2 1\n2 2\n0 0 0", "2 5 1\n2 1\n5 2 1\n2 2\n0 0 0", "3 4 1\n2 2\n2 2 1\n2 2\n0 0 0", "3 6 1\n2 1\n4 2 1\n2 2\n0 0 0", "2 6 1\n2 1\n3 4 1\n1 2\n0 0 0", "3 7 1\n2 1\n4 3 1\n2 2\n0 0 0", "2 10 1\n2 1\n5 2 1\n2 2\n0 0 0", "2 6 1\n2 2\n3 4 1\n2 2\n0 0 0", "3 7 1\n2 1\n4 3 0\n2 2\n0 0 0", "2 6 1\n2 2\n3 4 1\n1 2\n0 0 0", "2 7 1\n2 1\n4 3 0\n2 2\n0 0 0", "4 3 0\n3 4\n2 2 1\n2 2\n0 0 0", "2 4 1\n2 1\n5 2 0\n2 2\n0 0 0", "5 7 1\n2 1\n4 3 0\n2 2\n0 0 0", "3 2 1\n2 1\n2 4 1\n2 1\n0 0 0", "2 6 1\n2 1\n4 4 0\n2 4\n0 0 0", "2 6 1\n2 1\n4 6 1\n2 2\n0 0 0", "2 4 1\n2 2\n2 2 0\n2 2\n0 0 0", "2 6 1\n2 1\n3 6 1\n2 2\n0 0 0", "3 4 1\n2 1\n2 2 1\n2 1\n0 0 0", "3 7 1\n2 1\n3 3 1\n2 3\n0 0 0", "5 9 1\n2 1\n4 3 0\n2 2\n0 0 0", "2 6 1\n2 1\n4 6 1\n1 2\n0 0 0", "3 4 1\n2 2\n8 3 0\n2 2\n0 0 0", "2 6 1\n2 1\n3 7 1\n1 3\n0 0 0", "3 7 1\n2 1\n2 4 1\n2 2\n0 0 0", "4 3 0\n3 4\n2 2 1\n2 1\n0 0 0", "3 9 1\n2 1\n3 3 1\n2 3\n0 0 0", "2 8 1\n2 1\n3 7 1\n1 3\n0 0 0", "2 8 1\n2 1\n3 5 1\n1 3\n0 0 0", "3 6 1\n2 1\n4 2 0\n2 2\n0 0 0", "2 3 1\n2 1\n2 2 1\n2 1\n0 0 0", "2 4 1\n2 1\n2 4 1\n2 2\n0 0 0", "2 4 1\n2 1\n2 4 0\n2 2\n0 0 0", "4 4 1\n2 1\n2 4 0\n2 2\n0 0 0", "2 4 1\n2 2\n2 4 0\n2 2\n0 0 0", "4 4 1\n2 1\n2 4 1\n2 2\n0 0 0", "2 4 1\n2 2\n2 4 0\n2 3\n0 0 0", "2 4 1\n2 2\n2 4 1\n2 3\n0 0 0", "2 4 1\n2 1\n4 4 0\n2 2\n0 0 0", "4 4 1\n2 2\n2 4 1\n2 3\n0 0 0", "2 4 1\n2 2\n5 4 0\n2 2\n0 0 0", "2 8 0\n2 1\n2 2 1\n2 1\n0 0 0", "2 4 1\n2 2\n2 3 0\n2 2\n0 0 0", "4 4 1\n3 1\n2 2 0\n2 2\n0 0 0", "2 4 1\n2 2\n5 4 0\n2 3\n0 0 0", "2 4 1\n2 2\n5 8 1\n2 2\n0 0 0", "2 4 1\n2 2\n2 6 0\n2 2\n0 0 0", "2 8 1\n2 1\n4 3 0\n2 2\n0 0 0", "2 3 1\n2 2\n5 4 0\n2 3\n0 0 0", "4 4 1\n2 2\n5 8 1\n2 2\n0 0 0", "2 4 1\n2 2\n2 11 0\n2 2\n0 0 0", "2 9 1\n2 1\n4 3 0\n2 2\n0 0 0", "2 5 1\n2 2\n5 4 0\n2 3\n0 0 0", "2 6 1\n2 2\n2 4 0\n2 3\n0 0 0", "4 7 1\n3 1\n2 2 0\n2 2\n0 0 0", "4 4 1\n2 2\n5 4 0\n2 3\n0 0 0", "3 4 1\n2 2\n5 8 1\n2 2\n0 0 0", "4 4 1\n2 2\n5 8 0\n2 2\n0 0 0", "3 4 1\n2 2\n5 9 1\n2 2\n0 0 0", "4 4 1\n2 2\n5 1 0\n2 2\n0 0 0", "3 4 1\n2 2\n5 9 1\n2 1\n0 0 0", "2 2 1\n2 2\n5 4 0\n2 5\n0 0 0", "2 4 1\n2 1\n2 4 0\n2 4\n0 0 0", "4 2 1\n2 1\n2 4 0\n2 2\n0 0 0", "2 4 1\n2 2\n2 5 0\n2 3\n0 0 0", "2 1 1\n2 1\n2 6 1\n2 1\n0 0 0", "2 6 1\n2 1\n4 4 1\n2 2\n0 0 0", "2 4 1\n2 1\n2 1 1\n2 1\n0 0 0", "2 4 1\n2 1\n5 2 1\n2 2\n0 0 0", "3 4 1\n2 1\n4 3 1\n2 2\n0 0 0", "7 4 1\n2 2\n2 2 1\n2 2\n0 0 0", "2 6 1\n2 1\n5 2 1\n2 2\n0 0 0", "3 4 1\n2 1\n8 2 0\n2 2\n0 0 0", "2 4 1\n2 1\n5 2 1\n4 2\n0 0 0", "4 4 0\n2 2\n2 2 1\n2 2\n0 0 0", "4 3 0\n2 2\n2 2 1\n2 2\n0 0 0", "4 3 0\n3 2\n2 2 1\n2 2\n0 0 0", "3 4 1\n2 1\n4 2 1\n4 2\n0 0 0", "3 2 1\n2 1\n2 2 1\n2 1\n0 0 0", "2 6 1\n2 1\n4 4 1\n2 4\n0 0 0", "3 4 1\n2 1\n6 3 1\n2 2\n0 0 0", "5 4 1\n2 2\n2 2 1\n2 2\n0 0 0", "2 5 1\n2 1\n3 4 1\n1 2\n0 0 0", "3 7 1\n2 1\n3 3 1\n2 2\n0 0 0", "7 3 0\n3 2\n2 2 1\n2 2\n0 0 0", "2 6 1\n2 1\n5 2 0\n2 2\n0 0 0", "6 3 0\n3 2\n2 2 1\n2 2\n0 0 0", "2 6 1\n2 1\n5 1 0\n2 2\n0 0 0" ], "output": [ "Case 1: 4\nCase 2: 0", "Case 1: 4\nCase 2: 0\n", "Case 1: 4\nCase 2: 1\n", "Case 1: 16\nCase 2: 0\n", "Case 1: 16\nCase 2: 0\nCase 3: 1\n", "Case 1: 3\nCase 2: 0\n", "Case 1: 1\nCase 2: 1\n", "Case 1: 2\nCase 2: 0\n", "Case 1: 3\nCase 2: 0\nCase 3: 1\n", "Case 1: 16\nCase 2: 1\n", "Case 1: 16\nCase 2: 3\n", "Case 1: 16\nCase 2: 288\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 8\nCase 2: 0\n", "Case 1: 1\nCase 2: 0\n", "Case 1: 20\nCase 2: 0\n", "Case 1: 16\nCase 2: 2\n", "Case 1: 49\nCase 2: 0\n", "Case 1: 256\nCase 2: 0\n", "Case 1: 8\nCase 2: 1\n", "Case 1: 49\nCase 2: 0\nCase 3: 1\n", "Case 1: 8\nCase 2: 2\n", "Case 1: 32\nCase 2: 0\nCase 3: 1\n", "Case 1: 0\nCase 2: 1\n", "Case 1: 4\nCase 2: 0\nCase 3: 1\n", "Case 1: 19\nCase 2: 0\nCase 3: 1\n", "Case 1: 0\nCase 2: 4\n", "Case 1: 16\nCase 2: 1\nCase 3: 4\n", "Case 1: 16\nCase 2: 4\n", "Case 1: 2\nCase 2: 1\nCase 3: 1\n", "Case 1: 16\nCase 2: 8\n", "Case 1: 3\nCase 2: 1\n", "Case 1: 49\nCase 2: 1\n", "Case 1: 195\nCase 2: 0\nCase 3: 1\n", "Case 1: 16\nCase 2: 9\n", "Case 1: 1\nCase 2: 0\nCase 3: 1\n", "Case 1: 16\nCase 2: 33\n", "Case 1: 49\nCase 2: 2\n", "Case 1: 0\nCase 2: 3\n", "Case 1: 288\nCase 2: 1\n", "Case 1: 64\nCase 2: 33\n", "Case 1: 64\nCase 2: 6\n", "Case 1: 20\nCase 2: 0\nCase 3: 1\n", "Case 1: 2\nCase 2: 1\n", "Case 1: 4\nCase 2: 2\n", "Case 1: 4\nCase 2: 4\nCase 3: 1\n", "Case 1: 1\nCase 2: 4\nCase 3: 1\n", "Case 1: 2\nCase 2: 4\nCase 3: 1\n", "Case 1: 1\nCase 2: 2\n", "Case 1: 2\nCase 2: 4\nCase 3: 2\n", "Case 1: 2\nCase 2: 2\n", "Case 1: 4\nCase 2: 1\nCase 3: 1\n", "Case 1: 0\nCase 2: 2\n", "Case 1: 2\nCase 2: 0\nCase 3: 1\n", "Case 1: 64\nCase 2: 0\n", "Case 1: 2\nCase 2: 2\nCase 3: 1\n", "Case 1: 1\nCase 2: 1\nCase 3: 1\n", "Case 1: 2\nCase 2: 0\nCase 3: 2\n", "Case 1: 2\nCase 2: 19\n", "Case 1: 2\nCase 2: 16\nCase 3: 1\n", "Case 1: 64\nCase 2: 0\nCase 3: 1\n", "Case 1: 1\nCase 2: 0\nCase 3: 2\n", "Case 1: 0\nCase 2: 19\n", "Case 1: 2\nCase 2: 512\nCase 3: 1\n", "Case 1: 128\nCase 2: 0\nCase 3: 1\n", "Case 1: 4\nCase 2: 0\nCase 3: 2\n", "Case 1: 8\nCase 2: 4\nCase 3: 2\n", "Case 1: 38\nCase 2: 1\nCase 3: 1\n", "Case 1: 0\nCase 2: 0\nCase 3: 2\n", "Case 1: 1\nCase 2: 19\n", "Case 1: 0\nCase 2: 63\nCase 3: 1\n", "Case 1: 1\nCase 2: 63\n", "Case 1: 0\nCase 2: 0\nCase 3: 1\n", "Case 1: 1\nCase 2: 195\n", "Case 1: 0\nCase 2: 0\nCase 3: 8\n", "Case 1: 4\nCase 2: 4\nCase 3: 4\n", "Case 1: 0\nCase 2: 4\nCase 3: 1\n", "Case 1: 2\nCase 2: 8\nCase 3: 2\n", "Case 1: 0\nCase 2: 16\n", "Case 1: 16\nCase 2: 0\n", "Case 1: 4\nCase 2: 0\n", "Case 1: 4\nCase 2: 0\n", "Case 1: 3\nCase 2: 0\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 16\nCase 2: 0\n", "Case 1: 3\nCase 2: 0\nCase 3: 1\n", "Case 1: 4\nCase 2: 0\n", "Case 1: 1\nCase 2: 0\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 3\nCase 2: 0\n", "Case 1: 0\nCase 2: 1\n", "Case 1: 16\nCase 2: 1\n", "Case 1: 3\nCase 2: 0\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 8\nCase 2: 2\n", "Case 1: 49\nCase 2: 0\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 16\nCase 2: 0\nCase 3: 1\n", "Case 1: 0\nCase 2: 0\n", "Case 1: 16\nCase 2: 0\nCase 3: 1\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There is a grid that consists of W \times H cells. The upper-left-most cell is (1, 1). You are standing on the cell of (1,1) and you are going to move to cell of (W, H). You can only move to adjacent lower-left, lower or lower-right cells. There are obstructions on several cells. You can not move to it. You cannot move out the grid, either. Write a program that outputs the number of ways to reach (W,H) modulo 1,000,000,009. You can assume that there is no obstruction at (1,1). Input The first line contains three integers, the width W, the height H, and the number of obstructions N. (1 \leq W \leq 75, 2 \leq H \leq 10^{18}, 0 \leq N \leq 30) Each of following N lines contains 2 integers, denoting the position of an obstruction (x_i, y_i). The last test case is followed by a line containing three zeros. Output For each test case, print its case number and the number of ways to reach (W,H) modulo 1,000,000,009. Example Input 2 4 1 2 1 2 2 1 2 2 0 0 0 Output Case 1: 4 Case 2: 0 ### Input: 2 4 1 2 1 2 2 1 2 2 0 0 0 ### Output: Case 1: 4 Case 2: 0 ### Input: 2 4 1 2 1 4 2 1 2 2 0 0 0 ### Output: Case 1: 4 Case 2: 0 ### Code: import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**13 mod = 10**9+9 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) class Matrix(): def __init__(self, A): self.A = A self.row = len(A) self.col = len(A[0]) def __iter__(self): return self.A.__iter__() def __getitem__(self, i): return self.A.__getitem__(i) def __add__(self, B): aa = self.A bb = B.A return Matrix([[aa[i][j] + bb[i][j] for j in range(self.col)] for i in range(self.row)]) def __sub__(self, B): aa = self.A bb = B.A return Matrix([[aa[i][j] - bb[i][j] for j in range(self.col)] for i in range(self.row)]) def __mul__(self, B): bb = [[B.A[j][i] for j in range(B.row)] for i in range(B.col)] return Matrix([[sum([ak * bk for ak,bk in zip(ai,bj)]) % mod for bj in bb] for ai in self.A]) def __truediv__(self, x): pass def pow_init(self, a): self.PA = pa = {} t = self.pow(a[0]) c = a[0] pa[c] = t for d in a[1:]: t = t * self.pow(d-c) pa[d] = t c = d def pow(self, n): if n in self.PA: return self.PA[n] A = self r = Matrix([[0 if j != i else 1 for j in range(self.row)] for i in range(self.row)]) while n > 0: if n % 2 == 1: r = r * A A = A * A n //= 2 return r def __str__(self): return self.A.__str__() def main(): rr = [] def f(w,h,n): a = sorted([LI()[::-1] for _ in range(n)]) aa = [[0]*w for _ in range(w)] for i in range(w): ai = aa[i] ai[i] = 1 if i > 0: ai[i-1] = 1 if i < w-1: ai[i+1] = 1 A = Matrix(aa) A.pow_init(list(map(lambda x: x[0], a)) + [h]) t = [[0] for _ in range(w)] t[0][0] = 1 T = Matrix(t) c = 1 for hi,wi in a: T = A.pow(hi-c) * T T.A[wi-1][0] = 0 c = hi T = A.pow(h-c) * T return T.A[-1][0] ci = 0 while 1: ci += 1 n,m,l = LI() if n == 0: break rr.append('Case {}: {}'.format(ci, f(n,m,l))) return '\n'.join(map(str, rr)) print(main())
p01960 Tree Separator_34506
You are given a tree $T$ and an integer $K$. You can choose arbitrary distinct two vertices $u$ and $v$ on $T$. Let $P$ be the simple path between $u$ and $v$. Then, remove vertices in $P$, and edges such that one or both of its end vertices is in $P$ from $T$. Your task is to choose $u$ and $v$ to maximize the number of connected components with $K$ or more vertices of $T$ after that operation. Input The input consists of a single test case formatted as follows. $N$ $K$ $u_1$ $v_1$ : $u_{N-1}$ $v_{N-1}$ The first line consists of two integers $N, K$ ($2 \leq N \leq 100,000, 1 \leq K \leq N$). The following $N-1$ lines represent the information of edges. The ($i+1$)-th line consists of two integers $u_i, v_i$ ($1 \leq u_i, v_i \leq N$ and $u_i \ne v_i $ for each $i$). Each $\\{u_i, v_i\\}$ is an edge of $T$. It's guaranteed that these edges form a tree. Output Print the maximum number of connected components with $K$ or more vertices in one line. Examples Input 2 1 1 2 Output 0 Input 7 3 1 2 2 3 3 4 4 5 5 6 6 7 Output 1 Input 12 2 1 2 2 3 3 4 4 5 3 6 6 7 7 8 8 9 6 10 10 11 11 12 Output 4 Input 3 1 1 2 2 3 Output 1 Input 3 2 1 2 2 3 Output 0 Input 9 3 1 2 1 3 1 4 4 5 4 6 4 7 7 8 7 9 Output 2
from collections import deque import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): N, K = map(int, readline().split()) G = [[] for i in range(N)] for i in range(N-1): u, v = map(int, readline().split()) G[u-1].append(v-1) G[v-1].append(u-1) P = [-1]*N vs = [] que = deque([0]) used = [0]*N used[0] = 1 while que: v = que.popleft() vs.append(v) for w in G[v]: if used[w]: continue used[w] = 1 que.append(w) P[w] = v sz = [0]*N; dp = [0]*N vs.reverse() ans = 0 for v in vs: s = 1; d = 0 p = P[v] ds = [] for w in G[v]: if w == p: continue s += sz[w] if sz[w] >= K: d += 1 ds.append(dp[w]-1) else: ds.append(dp[w]) ds.sort(reverse=1) dp[v] = max(d, d + ds[0] if ds else 0) if ds: e = d + 1 if N-s >= K else d ans = max(ans, e + ds[0]) if len(ds) > 1: ans = max(ans, e + ds[0] + ds[1]) sz[v] = s write("%d\n" % ans) solve()
{ "input": [ "3 2\n1 2\n2 3", "12 2\n1 2\n2 3\n3 4\n4 5\n3 6\n6 7\n7 8\n8 9\n6 10\n10 11\n11 12", "9 3\n1 2\n1 3\n1 4\n4 5\n4 6\n4 7\n7 8\n7 9", "2 1\n1 2", "7 3\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7", "3 1\n1 2\n2 3", "1 2\n1 2\n2 3", "4 1\n1 2\n2 3", "12 2\n1 2\n2 3\n3 4\n4 5\n3 6\n6 7\n7 8\n8 9\n2 10\n10 11\n11 12", "12 0\n1 2\n2 3\n3 4\n4 5\n3 6\n6 7\n7 8\n8 9\n6 10\n10 11\n11 12", "9 1\n1 2\n1 3\n1 4\n4 5\n4 6\n4 7\n7 8\n7 9", "7 3\n1 2\n2 5\n3 4\n4 5\n5 6\n6 7", "9 1\n1 2\n1 3\n1 4\n6 5\n4 6\n4 7\n7 8\n7 9", "1 1\n1 2\n2 3", "1 1\n1 3\n2 3", "3 2\n1 2\n1 3", "2 2\n1 2", "2 1\n1 2\n2 3", "1 2\n1 4\n2 3", "1 1\n1 1\n2 3", "2 3\n1 2", "2 1\n1 2\n0 3", "1 2\n1 7\n2 3", "1 0\n1 2\n2 3", "2 1\n1 2\n-1 3", "1 2\n1 7\n2 4", "1 0\n1 2\n0 3", "2 1\n1 2\n-1 5", "1 0\n1 7\n2 4", "1 0\n1 0\n0 3", "2 1\n1 2\n0 5", "1 0\n1 0\n0 4", "1 2\n1 2\n2 1", "1 1\n1 2\n2 0", "12 2\n1 2\n2 3\n3 4\n4 5\n3 6\n6 7\n7 8\n3 9\n2 10\n10 11\n11 12", "2 1\n1 2\n3 3", "1 2\n1 4\n3 3", "1 1\n1 1\n2 6", "1 3\n1 2", "2 1\n1 2\n0 6", "1 2\n2 7\n2 3", "1 0\n0 2\n2 3", "1 1\n1 2\n-1 3", "1 3\n1 7\n2 4", "1 0\n1 1\n0 3", "2 1\n1 2\n0 8", "1 0\n1 1\n2 4", "1 0\n1 0\n0 1", "2 0\n2 2\n0 5", "1 0\n1 -1\n0 4", "1 2\n1 3\n2 1", "1 2\n1 2\n2 3\n3 4\n4 5\n3 6\n6 7\n7 8\n3 9\n2 10\n10 11\n11 12", "2 1\n1 2\n3 5", "1 2\n2 4\n3 3", "1 1\n1 2\n2 6", "1 2\n1 2", "2 1\n1 2\n0 10", "1 0\n2 7\n2 3", "1 0\n0 2\n2 0", "1 0\n1 2\n-1 3", "1 3\n1 8\n2 4", "1 0\n0 1\n0 3", "2 1\n1 2\n0 1", "1 0\n0 1\n2 4", "1 0\n1 0\n1 1", "2 -1\n2 2\n0 5", "1 0\n1 0\n0 2", "1 1\n1 3\n2 1", "1 2\n1 2\n2 3\n1 4\n4 5\n3 6\n6 7\n7 8\n3 9\n2 10\n10 11\n11 12", "1 1\n1 2\n3 5", "1 2\n2 4\n4 3", "1 1\n2 2\n2 6", "1 2\n1 4", "1 -1\n2 7\n2 3", "1 0\n0 2\n1 0", "1 -1\n1 2\n-1 3", "1 3\n0 8\n2 4", "1 0\n0 1\n0 6", "1 -1\n0 1\n2 4", "1 0\n1 1\n0 1", "1 0\n1 1\n0 2", "1 1\n2 3\n2 1", "1 2\n1 2\n2 3\n1 4\n4 5\n6 6\n6 7\n7 8\n3 9\n2 10\n10 11\n11 12", "1 1\n1 2\n0 5", "1 2\n0 4\n4 3", "1 1\n1 2\n2 12", "1 0\n0 2\n1 -1", "1 0\n1 2\n-1 6", "1 -1\n0 1\n0 6", "1 -1\n0 1\n2 7", "1 0\n1 -1\n0 1", "1 0\n1 1\n0 0", "1 1\n2 4\n2 1", "1 2\n1 2\n2 3\n1 4\n4 5\n6 6\n6 7\n7 8\n3 12\n2 10\n10 11\n11 12", "1 2\n0 4\n4 2", "1 1\n1 4\n2 12", "1 0\n1 2\n1 -1", "1 -1\n0 1\n-1 6", "1 -1\n-1 1\n2 7", "1 0\n1 -2\n0 1", "1 1\n1 1\n0 0", "1 1\n0 4\n2 1", "1 2\n1 2\n2 3\n1 4\n1 5\n6 6\n6 7\n7 8\n3 12\n2 10\n10 11\n11 12", "1 2\n0 2\n4 2", "1 1\n0 4\n2 12", "1 -1\n0 1\n-1 9" ], "output": [ "0", "4", "2", "0", "1", "1", "0\n", "2\n", "3\n", "4\n", "6\n", "1\n", "5\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "3\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given a tree $T$ and an integer $K$. You can choose arbitrary distinct two vertices $u$ and $v$ on $T$. Let $P$ be the simple path between $u$ and $v$. Then, remove vertices in $P$, and edges such that one or both of its end vertices is in $P$ from $T$. Your task is to choose $u$ and $v$ to maximize the number of connected components with $K$ or more vertices of $T$ after that operation. Input The input consists of a single test case formatted as follows. $N$ $K$ $u_1$ $v_1$ : $u_{N-1}$ $v_{N-1}$ The first line consists of two integers $N, K$ ($2 \leq N \leq 100,000, 1 \leq K \leq N$). The following $N-1$ lines represent the information of edges. The ($i+1$)-th line consists of two integers $u_i, v_i$ ($1 \leq u_i, v_i \leq N$ and $u_i \ne v_i $ for each $i$). Each $\\{u_i, v_i\\}$ is an edge of $T$. It's guaranteed that these edges form a tree. Output Print the maximum number of connected components with $K$ or more vertices in one line. Examples Input 2 1 1 2 Output 0 Input 7 3 1 2 2 3 3 4 4 5 5 6 6 7 Output 1 Input 12 2 1 2 2 3 3 4 4 5 3 6 6 7 7 8 8 9 6 10 10 11 11 12 Output 4 Input 3 1 1 2 2 3 Output 1 Input 3 2 1 2 2 3 Output 0 Input 9 3 1 2 1 3 1 4 4 5 4 6 4 7 7 8 7 9 Output 2 ### Input: 3 2 1 2 2 3 ### Output: 0 ### Input: 12 2 1 2 2 3 3 4 4 5 3 6 6 7 7 8 8 9 6 10 10 11 11 12 ### Output: 4 ### Code: from collections import deque import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): N, K = map(int, readline().split()) G = [[] for i in range(N)] for i in range(N-1): u, v = map(int, readline().split()) G[u-1].append(v-1) G[v-1].append(u-1) P = [-1]*N vs = [] que = deque([0]) used = [0]*N used[0] = 1 while que: v = que.popleft() vs.append(v) for w in G[v]: if used[w]: continue used[w] = 1 que.append(w) P[w] = v sz = [0]*N; dp = [0]*N vs.reverse() ans = 0 for v in vs: s = 1; d = 0 p = P[v] ds = [] for w in G[v]: if w == p: continue s += sz[w] if sz[w] >= K: d += 1 ds.append(dp[w]-1) else: ds.append(dp[w]) ds.sort(reverse=1) dp[v] = max(d, d + ds[0] if ds else 0) if ds: e = d + 1 if N-s >= K else d ans = max(ans, e + ds[0]) if len(ds) > 1: ans = max(ans, e + ds[0] + ds[1]) sz[v] = s write("%d\n" % ans) solve()
p02247 Naive String Search_34509
Find places where a string P is found within a text T. Print all indices of T where P found. The indices of T start with 0. Constraints * 1 ≤ length of T ≤ 1000 * 1 ≤ length of P ≤ 1000 * The input consists of alphabetical characters and digits Input In the first line, a text T is given. In the second line, a string P is given. Examples Input aabaaa aa Output 0 3 4 Input xyzz yz Output 1 Input abc xyz Output
T = input() P = input() if len(P) > len(T): pass else: p = len(P) ans = [] for i in range(len(T)-len(P)+1): tmp = "" for j in range(i,i+p): tmp += T[j] if tmp == P: ans.append(i) for i in ans: print(i)
{ "input": [ "aabaaa\naa", "xyzz\nyz", "aaabaa\naa", "aabaaa\nba", "aaabaa\nba", "aab`aa\naa", "xyzy\nyz", "aaaaba\naa", "abaaaa\naa", "abaaaa\nab", "aaacab\naa", "aaaaba\nba", "abaaab\naa", "ab`aaa\naa", "baadaa\naa", "abbbab\nbb", "`babaa\nba", "aaaaab\naa", "`aabab\nab", "aa`aaa\naa", "ababab\nab", "babaa`\nba", "aacaab\naa", "abbbb`\nbb", "`aaaaa\naa", "aaaaaa\naa", "aaacaa\naa", "aaabaa\nab", "aabbaa\nba", "aaaaca\naa", "`aabaa\nba", "xyzy\nzy", "aaaacb\naa", "aabaa`\nba", "yzyx\nzy", "abaaaa\nba", "a`baa`\nba", "aaaaba\nab", "aabaaa\nab", "aaabba\nab", "aab`aa\nab", "yzyw\nzy", "aabaa`\nab", "aaadab\naa", "aaabba\nbb", "abb`aa\nab", "yzyw\nyz", "babaa`\nab", "aaa`ba\naa", "baadab\naa", "abbaaa\nbb", "yzxw\nyz", "bab`aa\nab", "aaa`ba\na`", "abbaab\nbb", "aaadaa\naa", "baabba\nbb", "b`abba\nbb", "b`abba\nba", "b`abba\nab", "acaaaa\naa", "aa`caa\naa", "aabbaa\nab", "aabb`a\nb`", "aab`ba\naa", "zzyx\nzz", "bcaaaa\naa", "yzyx\nyz", "aaab`a\nab", "aaac`a\naa", "aaabba\nba", "aba`aa\naa", "aabdab\naa", "aab`ab\nab", "aaa`b`\naa", "aaabbb\nbb", "bab`aa\nba", "abb`ab\nbb", "a`adaa\naa", "abbcab\nbb", "baabba\nba", "aabbba\nbb", "b`aaba\nba", "c`abba\nab", "acaaab\naa", "`a`caa\naa", "aabbaa\nbb", "`babaa\nab", "`aabba\nba", "a`aaab\naa", "aaa`aa\naa", "badbaa\naa", "`aabab\nba", "aaaabb\nbb", "baa`aa\nba", "ba`bba\nbb", "a`adaa\na`", "abbcbb\nbb", "abbaab\nba", "aacbba\nbb", "baaaca\naa", "`a`caa\n`a" ], "output": [ "0\n3\n4", "1", "0\n1\n4\n", "2\n", "3\n", "0\n4\n", "1\n", "0\n1\n2\n", "2\n3\n4\n", "0\n", "0\n1\n", "4\n", "2\n3\n", "3\n4\n", "1\n4\n", "1\n2\n", "1\n3\n", "0\n1\n2\n3\n", "2\n4\n", "0\n3\n4\n", "0\n2\n4\n", "0\n2\n", "0\n3\n", "1\n2\n3\n", "1\n2\n3\n4\n", "0\n1\n2\n3\n4\n", "0\n1\n4\n", "2\n", "3\n", "0\n1\n2\n", "3\n", "2\n", "0\n1\n2\n", "2\n", "1\n", "1\n", "2\n", "3\n", "1\n", "2\n", "1\n", "1\n", "1\n", "0\n1\n", "3\n", "0\n", "0\n", "1\n", "0\n1\n", "1\n", "1\n", "0\n", "1\n", "2\n", "1\n", "0\n1\n4\n", "3\n", "3\n", "4\n", "2\n", "2\n3\n4\n", "0\n4\n", "1\n", "3\n", "0\n", "0\n", "2\n3\n4\n", "0\n", "2\n", "0\n1\n", "4\n", "4\n", "0\n", "1\n4\n", "0\n1\n", "3\n4\n", "0\n", "1\n", "4\n", "1\n", "0\n4\n", "2\n3\n", "4\n", "2\n", "2\n3\n", "4\n", "2\n", "2\n", "4\n", "2\n3\n", "0\n1\n4\n", "4\n", "3\n", "4\n", "0\n", "3\n", "0\n", "1\n4\n", "2\n", "3\n", "1\n2\n", "0\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Find places where a string P is found within a text T. Print all indices of T where P found. The indices of T start with 0. Constraints * 1 ≤ length of T ≤ 1000 * 1 ≤ length of P ≤ 1000 * The input consists of alphabetical characters and digits Input In the first line, a text T is given. In the second line, a string P is given. Examples Input aabaaa aa Output 0 3 4 Input xyzz yz Output 1 Input abc xyz Output ### Input: aabaaa aa ### Output: 0 3 4 ### Input: xyzz yz ### Output: 1 ### Code: T = input() P = input() if len(P) > len(T): pass else: p = len(P) ans = [] for i in range(len(T)-len(P)+1): tmp = "" for j in range(i,i+p): tmp += T[j] if tmp == P: ans.append(i) for i in ans: print(i)
p02394 Circle in a Rectangle_34513
Write a program which reads a rectangle and a circle, and determines whether the circle is arranged inside the rectangle. As shown in the following figures, the upper right coordinate $(W, H)$ of the rectangle and the central coordinate $(x, y)$ and radius $r$ of the circle are given. Circle inside a rectangle Constraints * $ -100 \leq x, y \leq 100$ * $ 0 < W, H, r \leq 100$ Input Five integers $W$, $H$, $x$, $y$ and $r$ separated by a single space are given in a line. Output Print "Yes" if the circle is placed inside the rectangle, otherwise "No" in a line. Examples Input 5 4 2 2 1 Output Yes Input 5 4 2 4 1 Output No
a,b,x,y,r=map(int, input().split()) if r<= y and y<= b-r and r <= x and x<=a-r: print("Yes") else: print("No")
{ "input": [ "5 4 2 2 1", "5 4 2 4 1", "2 4 2 2 1", "2 8 2 0 0", "5 4 2 0 1", "2 4 2 2 2", "5 8 2 0 1", "2 6 2 2 2", "2 8 2 0 1", "3 6 2 2 2", "0 6 2 2 2", "2 8 1 0 0", "0 10 2 2 2", "2 12 1 0 0", "0 10 2 2 0", "0 12 1 0 0", "0 10 2 1 0", "1 12 1 0 0", "0 9 2 1 0", "1 7 1 0 0", "0 9 2 1 -1", "1 7 1 -1 0", "0 9 4 1 -1", "1 7 1 -2 0", "0 1 4 1 -1", "0 7 1 -2 0", "0 2 4 1 -1", "-1 7 1 -2 0", "0 2 4 0 -1", "1 5 1 -2 0", "0 2 6 0 -1", "1 5 2 -2 0", "0 2 10 0 -1", "1 5 2 0 0", "-1 2 10 0 -1", "1 5 2 0 1", "-1 2 10 0 -2", "1 5 2 -1 1", "-1 2 10 0 -3", "2 5 2 0 1", "-1 2 10 1 -3", "2 10 2 0 1", "-1 2 14 1 -3", "2 18 2 0 1", "-1 2 11 1 -3", "2 18 2 0 0", "-1 2 11 1 -6", "2 18 2 1 0", "-1 2 6 1 -6", "2 18 2 1 -1", "-2 2 6 1 -6", "2 18 4 1 -1", "-2 2 6 2 -6", "2 15 4 1 -1", "-2 2 6 2 -5", "2 13 4 1 -1", "-2 2 6 2 -9", "2 13 4 2 -1", "-2 2 6 3 -9", "2 13 3 2 -1", "-2 1 6 3 -9", "2 13 8 2 -1", "-2 1 6 6 -9", "2 13 6 2 -1", "-2 1 6 8 -9", "2 13 6 4 -1", "-2 1 3 8 -9", "1 13 6 4 -1", "-2 1 3 10 -9", "2 14 6 4 -1", "-2 1 3 10 -18", "2 27 6 4 -1", "-2 0 3 10 -18", "2 27 9 4 -1", "-2 0 0 10 -18", "2 27 7 4 -1", "-2 -1 0 10 -18", "2 27 7 4 0", "-2 -1 0 11 -18", "2 54 7 4 0", "-2 -1 0 6 -18", "2 54 7 4 1", "-3 -1 0 6 -18", "2 11 7 4 1", "-3 -1 0 6 -2", "2 21 7 4 1", "-5 -1 0 6 -2", "4 21 7 4 1", "-5 -1 0 10 -2", "4 21 8 4 1", "-6 -1 0 10 -2", "4 21 8 4 2", "-6 -2 0 10 -2", "4 21 4 4 2", "-6 -2 0 18 -2", "4 21 8 1 2", "-6 -2 -1 18 -2", "3 21 8 1 2", "-6 -1 -1 18 -2", "3 21 5 1 2", "-5 -1 -1 18 -2", "5 21 5 1 2" ], "output": [ "Yes", "No", "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "No\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "Yes\n", "No\n", "Yes\n", "Yes\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Write a program which reads a rectangle and a circle, and determines whether the circle is arranged inside the rectangle. As shown in the following figures, the upper right coordinate $(W, H)$ of the rectangle and the central coordinate $(x, y)$ and radius $r$ of the circle are given. Circle inside a rectangle Constraints * $ -100 \leq x, y \leq 100$ * $ 0 < W, H, r \leq 100$ Input Five integers $W$, $H$, $x$, $y$ and $r$ separated by a single space are given in a line. Output Print "Yes" if the circle is placed inside the rectangle, otherwise "No" in a line. Examples Input 5 4 2 2 1 Output Yes Input 5 4 2 4 1 Output No ### Input: 5 4 2 2 1 ### Output: Yes ### Input: 5 4 2 4 1 ### Output: No ### Code: a,b,x,y,r=map(int, input().split()) if r<= y and y<= b-r and r <= x and x<=a-r: print("Yes") else: print("No")
1009_B. Minimum Ternary String_34523
You are given a ternary string (it is a string which consists only of characters '0', '1' and '2'). You can swap any two adjacent (consecutive) characters '0' and '1' (i.e. replace "01" with "10" or vice versa) or any two adjacent (consecutive) characters '1' and '2' (i.e. replace "12" with "21" or vice versa). For example, for string "010210" we can perform the following moves: * "010210" → "100210"; * "010210" → "001210"; * "010210" → "010120"; * "010210" → "010201". Note than you cannot swap "02" → "20" and vice versa. You cannot perform any other operations with the given string excluding described above. You task is to obtain the minimum possible (lexicographically) string by using these swaps arbitrary number of times (possibly, zero). String a is lexicographically less than string b (if strings a and b have the same length) if there exists some position i (1 ≤ i ≤ |a|, where |s| is the length of the string s) such that for every j < i holds a_j = b_j, and a_i < b_i. Input The first line of the input contains the string s consisting only of characters '0', '1' and '2', its length is between 1 and 10^5 (inclusive). Output Print a single string — the minimum possible (lexicographically) string you can obtain by using the swaps described above arbitrary number of times (possibly, zero). Examples Input 100210 Output 001120 Input 11222121 Output 11112222 Input 20 Output 20
s = input() s = list(s) n = len(s) i=0 j = i while j<n and s[j]!='2': j+=1 a = sorted(s[i:j]) one = [] others = [] while j<n: if s[j]=='1': one+=[s[j]] else: others+=[s[j]] j+=1 ans = a+one+others print(''.join(ans))
{ "input": [ "100210\n", "20\n", "11222121\n", "1002\n", "021\n", "1\n", "10\n", "202\n", "12\n", "01\n", "2112120\n", "100022202\n", "220201\n", "000021\n", "201\n", "102\n", "2\n", "11\n", "0\n", "22\n", "21\n", "121\n", "111\n", "101\n", "001\n", "000\n", "122\n", "222\n", "200\n", "120\n", "210212\n", "112\n", "211\n", "100\n", "011\n", "010\n", "110\n", "221\n", "212\n", "210\n" ], "output": [ "001120\n", "20\n", "11112222\n", "0012\n", "012\n", "1\n", "01\n", "202\n", "12\n", "01\n", "1112220\n", "000122202\n", "122020\n", "000012\n", "120\n", "012\n", "2\n", "11\n", "0\n", "22\n", "12\n", "112\n", "111\n", "011\n", "001\n", "000\n", "122\n", "222\n", "200\n", "120\n", "112022\n", "112\n", "112\n", "001\n", "011\n", "001\n", "011\n", "122\n", "122\n", "120\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given a ternary string (it is a string which consists only of characters '0', '1' and '2'). You can swap any two adjacent (consecutive) characters '0' and '1' (i.e. replace "01" with "10" or vice versa) or any two adjacent (consecutive) characters '1' and '2' (i.e. replace "12" with "21" or vice versa). For example, for string "010210" we can perform the following moves: * "010210" → "100210"; * "010210" → "001210"; * "010210" → "010120"; * "010210" → "010201". Note than you cannot swap "02" → "20" and vice versa. You cannot perform any other operations with the given string excluding described above. You task is to obtain the minimum possible (lexicographically) string by using these swaps arbitrary number of times (possibly, zero). String a is lexicographically less than string b (if strings a and b have the same length) if there exists some position i (1 ≤ i ≤ |a|, where |s| is the length of the string s) such that for every j < i holds a_j = b_j, and a_i < b_i. Input The first line of the input contains the string s consisting only of characters '0', '1' and '2', its length is between 1 and 10^5 (inclusive). Output Print a single string — the minimum possible (lexicographically) string you can obtain by using the swaps described above arbitrary number of times (possibly, zero). Examples Input 100210 Output 001120 Input 11222121 Output 11112222 Input 20 Output 20 ### Input: 100210 ### Output: 001120 ### Input: 20 ### Output: 20 ### Code: s = input() s = list(s) n = len(s) i=0 j = i while j<n and s[j]!='2': j+=1 a = sorted(s[i:j]) one = [] others = [] while j<n: if s[j]=='1': one+=[s[j]] else: others+=[s[j]] j+=1 ans = a+one+others print(''.join(ans))
1031_E. Triple Flips_34526
You are given an array a of length n that consists of zeros and ones. You can perform the following operation multiple times. The operation consists of two steps: 1. Choose three integers 1 ≤ x < y < z ≤ n, that form an arithmetic progression (y - x = z - y). 2. Flip the values a_x, a_y, a_z (i.e. change 1 to 0, change 0 to 1). Determine if it is possible to make all elements of the array equal to zero. If yes, print the operations that lead the the all-zero state. Your solution should not contain more than (⌊ n/3 ⌋ + 12) operations. Here ⌊ q ⌋ denotes the number q rounded down. We can show that it is possible to make all elements equal to zero in no more than this number of operations whenever it is possible to do so at all. Input The first line contains a single integer n (3 ≤ n ≤ 10^5) — the length of the array. The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ 1) — the elements of the array. Output Print "YES" (without quotes) if the answer exists, otherwise print "NO" (without quotes). You can print each letter in any case (upper or lower). If there is an answer, in the second line print an integer m (0 ≤ m ≤ (⌊ n/3 ⌋ + 12)) — the number of operations in your answer. After that in (i + 2)-th line print the i-th operations — the integers x_i, y_i, z_i. You can print them in arbitrary order. Examples Input 5 1 1 0 1 1 Output YES 2 1 3 5 2 3 4 Input 3 0 1 0 Output NO Note In the first sample the shown output corresponds to the following solution: * 1 1 0 1 1 (initial state); * 0 1 1 1 0 (the flipped positions are the first, the third and the fifth elements); * 0 0 0 0 0 (the flipped positions are the second, the third and the fourth elements). Other answers are also possible. In this test the number of operations should not exceed ⌊ 5/3 ⌋ + 12 = 1 + 12 = 13. In the second sample the only available operation is to flip all the elements. This way it is only possible to obtain the arrays 0 1 0 and 1 0 1, but it is impossible to make all elements equal to zero.
def solve(a): l = len(a) d = sum(a[i] * 2 ** i for i in range(l)) if d == 0: return [] usable = [] if l >= 3: for i in range(l - 2): usable.append(0b111 << i) if l >= 5: for i in range(l - 4): usable.append(0b10101 << i) if l >= 7: for i in range(l - 6): usable.append(0b1001001 << i) ul = len(usable) best_answer = None for mask in range(1 << ul): start = 0 clone = mask cnt = 0 while clone: if clone % 2 == 1: start ^= usable[cnt] clone //= 2 cnt += 1 if start == d: answer = [] clone = mask cnt = 0 while clone: if clone % 2 == 1: answer.append([]) used = usable[cnt] cnt2 = 1 while used: if used % 2 == 1: answer[-1].append(cnt2) cnt2 += 1 used //= 2 clone //= 2 cnt += 1 if best_answer is None or len(best_answer) > len(answer): best_answer = answer return best_answer if __name__ == '__main__': n = int(input()) a = list(map(int, input().split())) if len(a) <= 10: sol = solve(a) if sol is None: print("NO") exit(0) print("YES") print(len(sol)) for t in sol: print(' '.join(map(str, t))) exit(0) operations = [] while len(a) > 10: l = len(a) last = a[-3:] if last == [1, 1, 1]: operations.append([l - 2, l - 1, l]) elif last == [1, 1, 0]: operations.append([l - 3, l - 2, l - 1]) a[-4] ^= 1 elif last == [1, 0, 1]: operations.append([l - 4, l - 2, l]) a[-5] ^= 1 elif last == [0, 1, 1]: nxt = a[-6:-3] if nxt == [1, 1, 1]: operations.append([l - 8, l - 4, l]) operations.append([l - 5, l - 3, l - 1]) a[-9] ^= 1 elif nxt == [1, 1, 0]: operations.append([l - 8, l - 4, l]) operations.append([l - 9, l - 5, l - 1]) a[-9] ^= 1 a[-10] ^= 1 elif nxt == [1, 0, 1]: operations.append([l - 6, l - 3, l]) operations.append([l - 9, l - 5, l - 1]) a[-7] ^= 1 a[-10] ^= 1 elif nxt == [0, 1, 1]: operations.append([l - 6, l - 3, l]) operations.append([l - 7, l - 4, l - 1]) a[-7] ^= 1 a[-8] ^= 1 elif nxt == [1, 0, 0]: operations.append([l - 2, l - 1, l]) operations.append([l - 8, l - 5, l - 2]) a[-9] ^= 1 elif nxt == [0, 1, 0]: operations.append([l - 2, l - 1, l]) operations.append([l - 6, l - 4, l - 2]) a[-7] ^= 1 elif nxt == [0, 0, 1]: operations.append([l - 10, l - 5, l]) operations.append([l - 5, l - 3, l - 1]) a[-11] ^= 1 elif nxt == [0, 0, 0]: operations.append([l - 8, l - 4, l]) operations.append([l - 7, l - 4, l - 1]) a[-9] ^= 1 a[-8] ^= 1 a.pop() a.pop() a.pop() elif last == [1, 0, 0]: operations.append([l - 4, l - 3, l - 2]) a[-5] ^= 1 a[-4] ^= 1 elif last == [0, 1, 0]: operations.append([l - 5, l - 3, l - 1]) a[-6] ^= 1 a[-4] ^= 1 elif last == [0, 0, 1]: operations.append([l - 6, l - 3, l]) a[-7] ^= 1 a[-4] ^= 1 a.pop() a.pop() a.pop() while len(a) < 8: a.append(0) sol = solve(a) print("YES") sol = operations + sol print(len(sol)) for t in sol: print(' '.join(map(str, t)))
{ "input": [ "3\n0 1 0\n", "5\n1 1 0 1 1\n", "7\n0 0 1 0 0 0 0\n", "6\n0 0 0 0 0 1\n", "7\n0 0 0 0 0 1 0\n", "13\n1 0 0 1 0 0 1 1 1 0 0 0 1\n", "11\n1 0 1 1 1 1 1 1 1 0 0\n", "9\n1 1 0 1 1 1 0 1 1\n", "15\n1 1 1 0 0 0 1 0 0 1 1 1 0 0 0\n", "7\n0 0 0 0 0 0 1\n", "14\n0 1 0 1 0 1 0 0 1 1 0 1 1 1\n", "4\n0 0 1 0\n", "16\n1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0\n", "18\n0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0\n", "3\n1 0 0\n", "8\n0 0 0 1 1 0 0 0\n", "4\n0 0 0 1\n", "6\n0 0 1 0 0 0\n", "9\n0 0 1 0 0 0 1 0 0\n", "6\n1 0 0 0 0 0\n", "125\n1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n", "11\n1 1 0 0 0 0 0 0 0 1 1\n", "3\n0 0 1\n", "3\n0 0 0\n", "5\n0 0 1 0 0\n", "10\n0 0 1 1 1 1 1 0 1 1\n", "5\n1 0 0 0 0\n", "6\n0 0 0 0 1 0\n", "7\n1 0 0 0 0 0 0\n", "5\n0 0 0 0 1\n", "19\n1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1\n", "12\n1 0 1 1 0 0 1 1 1 1 0 1\n", "14\n1 0 1 0 0 0 1 0 0 0 1 1 1 0\n", "13\n0 0 1 1 0 0 1 0 1 0 0 0 1\n", "4\n1 0 0 1\n", "17\n1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1\n", "5\n0 1 0 0 0\n", "7\n0 1 0 0 0 0 0\n", "7\n0 0 0 0 1 0 0\n", "8\n0 0 0 1 1 1 1 1\n", "5\n0 0 0 1 0\n", "6\n0 1 0 0 0 0\n", "20\n1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1\n", "7\n0 0 0 1 0 0 0\n", "4\n0 1 0 0\n", "4\n1 0 0 0\n", "6\n0 0 0 1 0 0\n", "13\n1 0 0 0 1 0 1 0 0 1 1 0 0\n", "7\n0 0 1 0 0 1 0\n", "6\n0 1 0 0 0 1\n", "7\n0 0 1 1 0 1 0\n", "13\n1 0 0 1 0 1 1 1 1 0 0 0 1\n", "11\n1 0 1 1 1 0 1 1 1 0 0\n", "9\n1 1 0 1 1 1 0 1 2\n", "15\n1 1 1 0 0 0 1 1 0 1 1 1 0 0 0\n", "14\n0 1 1 1 0 1 0 0 1 1 0 1 1 1\n", "4\n0 0 0 0\n", "8\n0 0 1 1 1 0 0 0\n", "125\n1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0\n", "10\n1 0 1 1 1 1 1 0 1 1\n", "19\n1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1\n", "14\n1 0 1 0 1 0 1 0 0 0 1 1 1 0\n", "13\n0 0 1 1 0 0 1 0 0 0 0 0 1\n", "7\n0 1 0 0 1 0 0\n", "6\n1 0 0 1 0 0\n", "7\n0 0 -1 0 0 0 1\n", "16\n1 1 1 0 1 0 1 0 0 1 0 2 0 0 0 0\n", "3\n0 -1 0\n", "4\n0 1 1 0\n", "6\n0 0 1 1 0 0\n", "9\n0 0 1 0 0 -1 1 0 0\n", "6\n1 1 0 0 0 0\n", "3\n-1 0 1\n", "3\n-1 0 2\n", "5\n0 1 1 0 0\n", "5\n1 0 1 0 0\n", "6\n0 0 -1 0 1 0\n", "7\n1 0 0 0 -1 0 0\n", "5\n1 0 0 0 1\n", "4\n1 0 1 1\n", "17\n1 0 1 0 1 0 1 1 1 -1 1 1 1 0 1 0 1\n", "5\n0 1 0 -1 0\n", "7\n0 1 -1 0 0 0 0\n", "8\n0 0 0 1 1 2 1 1\n", "5\n0 0 0 2 0\n", "6\n0 1 -1 0 0 0\n", "7\n0 0 0 1 0 0 -1\n", "4\n-1 1 0 0\n", "4\n1 0 1 0\n", "3\n-1 0 0\n", "5\n2 1 0 1 1\n" ], "output": [ "NO\n", "YES\n2\n3 4 5\n1 2 3\n", "NO\n", "NO\n", "NO\n", "YES\n4\n8 9 10\n7 10 13\n2 3 4\n1 2 3\n", "YES\n4\n7 9 11\n5 8 11\n2 4 6\n1 2 3\n", "YES\n3\n4 5 6\n2 5 8\n1 5 9\n", "YES\n3\n11 12 13\n7 10 13\n1 2 3\n", "YES\n3\n2 3 4\n1 4 7\n1 2 3\n", "YES\n4\n12 13 14\n8 9 10\n4 5 6\n2 5 8\n", "NO\n", "YES\n5\n8 10 12\n3 8 13\n1 7 13\n1 3 5\n1 2 3\n", "YES\n3\n6 7 8\n9 11 13\n14 15 16\n", "NO\n", "YES\n6\n6 7 8\n2 5 8\n2 4 6\n2 3 4\n1 4 7\n1 2 3\n", "NO\n", "NO\n", "YES\n4\n7 8 9\n2 5 8\n1 5 9\n1 2 3\n", "NO\n", "YES\n23\n120 122 124\n114 116 118\n108 110 112\n102 104 106\n96 98 100\n90 92 94\n84 86 88\n78 80 82\n72 74 76\n66 68 70\n60 62 64\n54 56 58\n48 50 52\n42 44 46\n36 38 40\n30 32 34\n24 26 28\n18 20 22\n12 14 16\n3 4 5\n2 6 10\n2 5 8\n1 2 3\n", "YES\n2\n2 6 10\n1 6 11\n", "NO\n", "YES\n0\n", "NO\n", "YES\n3\n5 7 9\n2 6 10\n2 3 4\n", "NO\n", "NO\n", "YES\n3\n3 5 7\n3 4 5\n1 4 7\n", "NO\n", "YES\n6\n1 4 7 \n4 5 6 \n8 9 10 \n11 13 15 \n13 14 15 \n13 16 19 \n", "YES\n4\n7 8 9\n4 7 10\n2 7 12\n1 2 3\n", "YES\n4\n9 11 13\n6 9 12\n5 6 7\n1 3 5\n", "YES\n3\n5 9 13\n1 4 7\n1 3 5\n", "YES\n2\n1 2 3\n2 3 4\n", "YES\n7\n1 3 5\n7 8 9\n10 12 14\n10 13 16\n11 12 13\n12 14 16\n13 15 17\n", "NO\n", "NO\n", "NO\n", "YES\n5\n2 5 8\n2 4 6\n2 3 4\n1 4 7\n1 2 3\n", "NO\n", "NO\n", "YES\n6\n14 17 20\n11 12 13\n6 7 8\n2 5 8\n2 4 6\n1 2 3\n", "YES\n3\n3 5 7\n1 4 7\n1 3 5\n", "NO\n", "NO\n", "NO\n", "YES\n3\n9 11 13\n7 10 13\n1 5 9\n", "YES\n2\n2 3 4\n2 4 6\n", "NO\n", "YES\n5\n1 3 5\n1 4 7\n2 3 4\n2 4 6\n3 5 7\n", "YES\n7\n1 4 7\n6 7 8\n6 8 10\n6 9 12\n7 9 11\n8 10 12\n9 11 13\n", "YES\n5\n1 3 5\n2 4 6\n2 5 8\n3 5 7\n3 6 9\n", "YES\n5\n1 5 9\n2 5 8\n1 2 3\n1 3 5\n2 4 6\n", "YES\n4\n1 2 3\n6 8 10\n6 9 12\n7 9 11\n", "YES\n5\n2 3 4\n6 9 12\n8 9 10\n8 11 14\n9 11 13\n", "YES\n0\n", "YES\n3\n1 2 3\n1 3 5\n2 3 4\n", "YES\n26\n120 122 124\n114 116 118\n108 110 112\n102 104 106\n98 100 102\n92 94 96\n86 88 90\n80 82 84\n74 76 78\n68 70 72\n62 64 66\n56 58 60\n50 52 54\n44 46 48\n38 40 42\n32 34 36\n26 28 30\n20 22 24\n14 16 18\n8 10 12\n1 2 3\n1 3 5\n1 4 7\n2 3 4\n2 4 6\n3 5 7\n", "YES\n6\n1 3 5\n3 4 5\n3 5 7\n4 5 6\n4 7 10\n5 7 9\n", "YES\n9\n1 4 7\n4 5 6\n9 10 11\n12 13 14\n12 15 18\n13 14 15\n13 15 17\n14 16 18\n15 17 19\n", "YES\n5\n1 3 5\n7 8 9\n7 9 11\n7 10 13\n8 10 12\n", "YES\n8\n7 10 13\n3 4 5\n3 5 7\n3 6 9\n4 5 6\n4 6 8\n5 7 9\n6 8 10\n", "YES\n2\n1 2 3\n1 3 5\n", "YES\n2\n1 2 3\n2 3 4\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given an array a of length n that consists of zeros and ones. You can perform the following operation multiple times. The operation consists of two steps: 1. Choose three integers 1 ≤ x < y < z ≤ n, that form an arithmetic progression (y - x = z - y). 2. Flip the values a_x, a_y, a_z (i.e. change 1 to 0, change 0 to 1). Determine if it is possible to make all elements of the array equal to zero. If yes, print the operations that lead the the all-zero state. Your solution should not contain more than (⌊ n/3 ⌋ + 12) operations. Here ⌊ q ⌋ denotes the number q rounded down. We can show that it is possible to make all elements equal to zero in no more than this number of operations whenever it is possible to do so at all. Input The first line contains a single integer n (3 ≤ n ≤ 10^5) — the length of the array. The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ 1) — the elements of the array. Output Print "YES" (without quotes) if the answer exists, otherwise print "NO" (without quotes). You can print each letter in any case (upper or lower). If there is an answer, in the second line print an integer m (0 ≤ m ≤ (⌊ n/3 ⌋ + 12)) — the number of operations in your answer. After that in (i + 2)-th line print the i-th operations — the integers x_i, y_i, z_i. You can print them in arbitrary order. Examples Input 5 1 1 0 1 1 Output YES 2 1 3 5 2 3 4 Input 3 0 1 0 Output NO Note In the first sample the shown output corresponds to the following solution: * 1 1 0 1 1 (initial state); * 0 1 1 1 0 (the flipped positions are the first, the third and the fifth elements); * 0 0 0 0 0 (the flipped positions are the second, the third and the fourth elements). Other answers are also possible. In this test the number of operations should not exceed ⌊ 5/3 ⌋ + 12 = 1 + 12 = 13. In the second sample the only available operation is to flip all the elements. This way it is only possible to obtain the arrays 0 1 0 and 1 0 1, but it is impossible to make all elements equal to zero. ### Input: 3 0 1 0 ### Output: NO ### Input: 5 1 1 0 1 1 ### Output: YES 2 3 4 5 1 2 3 ### Code: def solve(a): l = len(a) d = sum(a[i] * 2 ** i for i in range(l)) if d == 0: return [] usable = [] if l >= 3: for i in range(l - 2): usable.append(0b111 << i) if l >= 5: for i in range(l - 4): usable.append(0b10101 << i) if l >= 7: for i in range(l - 6): usable.append(0b1001001 << i) ul = len(usable) best_answer = None for mask in range(1 << ul): start = 0 clone = mask cnt = 0 while clone: if clone % 2 == 1: start ^= usable[cnt] clone //= 2 cnt += 1 if start == d: answer = [] clone = mask cnt = 0 while clone: if clone % 2 == 1: answer.append([]) used = usable[cnt] cnt2 = 1 while used: if used % 2 == 1: answer[-1].append(cnt2) cnt2 += 1 used //= 2 clone //= 2 cnt += 1 if best_answer is None or len(best_answer) > len(answer): best_answer = answer return best_answer if __name__ == '__main__': n = int(input()) a = list(map(int, input().split())) if len(a) <= 10: sol = solve(a) if sol is None: print("NO") exit(0) print("YES") print(len(sol)) for t in sol: print(' '.join(map(str, t))) exit(0) operations = [] while len(a) > 10: l = len(a) last = a[-3:] if last == [1, 1, 1]: operations.append([l - 2, l - 1, l]) elif last == [1, 1, 0]: operations.append([l - 3, l - 2, l - 1]) a[-4] ^= 1 elif last == [1, 0, 1]: operations.append([l - 4, l - 2, l]) a[-5] ^= 1 elif last == [0, 1, 1]: nxt = a[-6:-3] if nxt == [1, 1, 1]: operations.append([l - 8, l - 4, l]) operations.append([l - 5, l - 3, l - 1]) a[-9] ^= 1 elif nxt == [1, 1, 0]: operations.append([l - 8, l - 4, l]) operations.append([l - 9, l - 5, l - 1]) a[-9] ^= 1 a[-10] ^= 1 elif nxt == [1, 0, 1]: operations.append([l - 6, l - 3, l]) operations.append([l - 9, l - 5, l - 1]) a[-7] ^= 1 a[-10] ^= 1 elif nxt == [0, 1, 1]: operations.append([l - 6, l - 3, l]) operations.append([l - 7, l - 4, l - 1]) a[-7] ^= 1 a[-8] ^= 1 elif nxt == [1, 0, 0]: operations.append([l - 2, l - 1, l]) operations.append([l - 8, l - 5, l - 2]) a[-9] ^= 1 elif nxt == [0, 1, 0]: operations.append([l - 2, l - 1, l]) operations.append([l - 6, l - 4, l - 2]) a[-7] ^= 1 elif nxt == [0, 0, 1]: operations.append([l - 10, l - 5, l]) operations.append([l - 5, l - 3, l - 1]) a[-11] ^= 1 elif nxt == [0, 0, 0]: operations.append([l - 8, l - 4, l]) operations.append([l - 7, l - 4, l - 1]) a[-9] ^= 1 a[-8] ^= 1 a.pop() a.pop() a.pop() elif last == [1, 0, 0]: operations.append([l - 4, l - 3, l - 2]) a[-5] ^= 1 a[-4] ^= 1 elif last == [0, 1, 0]: operations.append([l - 5, l - 3, l - 1]) a[-6] ^= 1 a[-4] ^= 1 elif last == [0, 0, 1]: operations.append([l - 6, l - 3, l]) a[-7] ^= 1 a[-4] ^= 1 a.pop() a.pop() a.pop() while len(a) < 8: a.append(0) sol = solve(a) print("YES") sol = operations + sol print(len(sol)) for t in sol: print(' '.join(map(str, t)))
1054_E. Chips Puzzle_34529
Egor came up with a new chips puzzle and suggests you to play. The puzzle has the form of a table with n rows and m columns, each cell can contain several black or white chips placed in a row. Thus, the state of the cell can be described by a string consisting of characters '0' (a white chip) and '1' (a black chip), possibly empty, and the whole puzzle can be described as a table, where each cell is a string of zeros and ones. The task is to get from one state of the puzzle some other state. To do this, you can use the following operation. * select 2 different cells (x_1, y_1) and (x_2, y_2): the cells must be in the same row or in the same column of the table, and the string in the cell (x_1, y_1) must be non-empty; * in one operation you can move the last character of the string at the cell (x_1, y_1) to the beginning of the string at the cell (x_2, y_2). Egor came up with two states of the table for you: the initial state and the final one. It is guaranteed that the number of zeros and ones in the tables are the same. Your goal is with several operations get the final state from the initial state. Of course, Egor does not want the number of operations to be very large. Let's denote as s the number of characters in each of the tables (which are the same). Then you should use no more than 4 ⋅ s operations. Input The first line contains two integers n and m (2 ≤ n, m ≤ 300) — the number of rows and columns of the table, respectively. The following n lines describe the initial state of the table in the following format: each line contains m non-empty strings consisting of zeros and ones. In the i-th of these lines, the j-th string is the string written at the cell (i, j). The rows are enumerated from 1 to n, the columns are numerated from 1 to m. The following n lines describe the final state of the table in the same format. Let's denote the total length of strings in the initial state as s. It is guaranteed that s ≤ 100 000. It is also guaranteed that the numbers of zeros and ones coincide in the initial and final states. Output On the first line print q — the number of operations used. You should find such a solution that 0 ≤ q ≤ 4 ⋅ s. In each the next q lines print 4 integers x_1, y_1, x_2, y_2. On the i-th line you should print the description of the i-th operation. These integers should satisfy the conditions 1 ≤ x_1, x_2 ≤ n, 1 ≤ y_1, y_2 ≤ m, (x_1, y_1) ≠ (x_2, y_2), x_1 = x_2 or y_1 = y_2. The string in the cell (x_1, y_1) should be non-empty. This sequence of operations should transform the initial state of the table to the final one. We can show that a solution exists. If there is more than one solution, find any of them. Examples Input 2 2 00 10 01 11 10 01 10 01 Output 4 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 Input 2 3 0 0 0 011 1 0 0 0 1 011 0 0 Output 4 2 2 1 2 1 2 2 2 1 2 1 3 1 3 1 2 Note Consider the first example. * The current state of the table: 00 10 01 11 The first operation. The cell (2, 1) contains the string 01. Applying the operation to cells (2, 1) and (1, 1), we move the 1 from the end of the string 01 to the beginning of the string 00 and get the string 100. * The current state of the table: 100 10 0 11 The second operation. The cell (1, 1) contains the string 100. Applying the operation to cells (1, 1) and (1, 2), we move the 0 from the end of the string 100 to the beginning of the string 10 and get the string 010. * The current state of the table: 10 010 0 11 The third operation. The cell (1, 2) contains the string 010. Applying the operation to cells (1, 2) and (2, 2), we move the 0 from the end of the string 010 to the beginning of the string 11 and get the string 011. * The current state of the table: 10 01 0 011 The fourth operation. The cell (2, 2) contains the string 011. Applying the operation to cells (2, 2) and (2, 1), we move the 1 from the end of the string 011 to the beginning of the string 0 and get the string 10. * The current state of the table: 10 01 10 01 It's easy to see that we have reached the final state of the table.
def fill(oper, curr, upper, second, n, m): for i in range(n): for j in range(m): for s in reversed(curr[i][j]): if s == '0': if i == 0: dest = (j + 1) % m oper.append((0, j, 0, dest)) upper[dest] += 1 else: oper.append((i, j, 0, j)) upper[j] += 1 else: if i == 1: dest = (j + 1) % m oper.append((1, j, 1, dest)) second[dest] += 1 else: oper.append((i, j, 1, j)) second[j] += 1 def mix(oper, start, finish, row): less = [] greater = [] for ind in range(len(start)): if start[ind] < finish[ind]: less.append(ind) else: greater.append(ind) l = 0 r = 0 while l != len(less): if start[less[l]] < finish[less[l]]: if start[greater[r]] > finish[greater[r]]: oper.append((row, greater[r], row, less[l])) start[less[l]] += 1 start[greater[r]] -= 1 else: r += 1 else: l += 1 def main(n, m, first, second): x = first y = [[list(reversed(st)) for st in second[i]] for i in range(n)] upper1 = [0] * m second1 = [0] * m oper = [] fill(oper, x, upper1, second1, n, m) upper2 = [0] * m second2 = [0] * m back = [] fill(back, y, upper2, second2, n, m) # print(upper1, upper2, second1, second2, end='\n') mix(oper, upper1, upper2, 0) mix(oper, second1, second2, 1) return str(len(oper) + len(back)) + '\n' + '\n'.join(' '.join(str(t + 1) for t in o) for o in oper) + '\n' + \ '\n'.join('{} {} {} {}'.format(o[2] + 1, o[3] + 1, o[0] + 1, o[1] + 1) for o in reversed(back)) if __name__ == '__main__': n, m = map(int, input().split()) print(main(n, m, [input().split() for _ in range(n)], [input().split() for _ in range(n)]))
{ "input": [ "2 2\n00 10\n01 11\n10 01\n10 01\n", "2 3\n0 0 0\n011 1 0\n0 0 1\n011 0 0\n", "2 2\n0 1\n0 1\n0 1\n0 1\n", "2 3\n0 0 0\n011 1 0\n0 0 1\n011 0 0\n", "2 2\n1 1\n0 0\n0 1\n1 0\n", "2 2\n1 0\n1 1\n1 1\n1 0\n", "2 2\n0 1\n1 0\n0 1\n1 0\n", "2 2\n00 10\n01 11\n10 01\n10 01\n", "2 3\n0 0 0\n111 1 0\n0 0 1\n011 0 0\n", "2 2\n1 1\n0 0\n0 1\n0 0\n", "2 2\n0 1\n1 1\n0 1\n1 0\n", "2 2\n00 1\n01 11\n10 01\n10 01\n", "2 2\n00 10\n1 11\n10 01\n10 01\n", "2 3\n0 0 0\n011 1 0\n0 0 1\n011 0 1\n", "2 2\n00 1\n1 11\n10 01\n10 01\n", "2 3\n0 0 0\n011 1 0\n0 0 1\n010 0 1\n", "2 2\n00 1\n1 11\n10 0\n10 01\n", "2 2\n0 1\n0 1\n0 1\n1 1\n", "2 2\n1 0\n1 1\n1 0\n1 0\n", "2 2\n0 1\n1 0\n0 0\n1 0\n", "2 2\n1 0\n0 0\n0 1\n0 0\n", "2 3\n0 0 0\n011 1 0\n0 0 0\n011 0 1\n", "2 2\n00 1\n1 10\n10 0\n10 01\n", "2 2\n0 0\n0 1\n0 1\n1 1\n", "2 2\n0 1\n1 0\n1 0\n1 0\n", "2 2\n1 0\n0 0\n0 1\n0 1\n", "2 3\n0 0 0\n011 1 0\n1 0 0\n011 0 1\n", "2 3\n0 0 0\n001 1 0\n0 0 1\n011 0 0\n", "2 2\n0 1\n0 0\n0 1\n1 0\n", "2 3\n0 0 0\n011 1 0\n0 1 1\n011 0 0\n", "2 3\n0 0 0\n111 1 0\n0 0 1\n011 0 1\n", "2 2\n0 10\n1 11\n10 01\n10 01\n", "2 3\n0 0 0\n011 1 0\n0 0 0\n010 0 1\n", "2 2\n00 1\n1 11\n10 0\n10 0\n", "2 2\n1 1\n0 0\n0 1\n0 1\n", "2 2\n0 1\n0 0\n0 0\n1 0\n", "2 3\n0 0 0\n111 1 0\n1 0 1\n011 0 1\n", "2 2\n0 10\n1 11\n10 01\n10 0\n", "2 3\n0 0 0\n011 1 0\n1 0 0\n010 0 1\n", "2 3\n0 0 0\n011 1 0\n1 0 0\n010 0 0\n", "2 2\n0 0\n1 0\n0 1\n1 0\n", "2 2\n00 10\n01 11\n1 01\n10 01\n", "2 3\n0 0 1\n111 1 0\n0 0 1\n011 0 0\n", "2 2\n1 1\n0 1\n0 1\n0 0\n", "2 2\n00 1\n1 11\n10 01\n10 1\n", "2 3\n0 0 0\n011 0 0\n0 0 1\n010 0 1\n", "2 2\n00 1\n1 11\n10 0\n10 1\n", "2 2\n0 1\n1 1\n0 1\n1 1\n" ], "output": [ "24\n1 2 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n2 2 2 1\n2 2 2 1\n2 1 2 2\n1 2 2 2\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n", "28\n1 2 1 1\n1 3 1 1\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 2 1 3\n1 3 2 3\n1 2 2 2\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 1 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 3\n1 1 1 2\n", "12\n1 2 1 1\n2 1 1 1\n1 1 1 2\n1 1 2 1\n1 1 1 2\n2 2 2 1\n2 1 2 2\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 1 2 1\n1 1 1 2\n", "28\n1 2 1 1\n1 3 1 1\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 2 1 3\n1 3 2 3\n1 2 2 2\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 1 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 3\n1 1 1 2\n", "12\n1 2 1 1\n2 1 1 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n2 2 1 2\n1 2 2 2\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 1 2 1\n1 1 1 2\n", "12\n1 2 1 1\n2 1 1 1\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 2 2 1\n1 2 2 2\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 1 2 1\n1 1 1 2\n", "12\n1 2 1 1\n2 1 1 1\n1 1 1 2\n1 1 2 1\n1 1 2 1\n2 2 1 2\n1 2 2 2\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 1 2 1\n1 1 1 2\n", "24\n1 2 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n2 2 2 1\n2 2 2 1\n2 1 2 2\n1 2 2 2\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n", "28\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 1 3\n1 3 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 2 1\n1 1 1 2\n1 1 2 1\n1 1 2 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "22\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "22\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "20\n2 1 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "18\n2 1 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 2 1\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 2 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "18\n2 1 1 1\n1 2 1 1\n2 2 1 2\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 2 1\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 2\n1 1 1 2\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 2 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "28\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 1 3\n1 3 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "28\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n2 1 1 1\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 1 3\n1 3 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "21\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 2 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "17\n2 1 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 2\n1 1 1 2\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "20\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n1 2 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 2 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "28\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n1 2 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 3\n1 3 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 1 2\n1 1 1 2\n1 1 2 1\n1 1 1 2\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "23\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n2 1 2 2\n1 2 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "28\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 2 1\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 1 3\n1 3 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 2 1\n1 1 2 1\n1 1 1 2\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n1 2 2 2\n1 1 1 2\n1 1 2 1\n", "19\n2 1 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "27\n2 1 1 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n1 3 1 1\n2 2 1 2\n2 3 1 3\n1 3 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 1 2\n1 1 1 2\n1 1 1 2\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n1 2 1 1\n2 1 2 3\n1 2 2 2\n1 1 1 3\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 1 2 1\n", "17\n2 1 1 1\n1 2 1 1\n2 2 2 1\n2 2 2 1\n1 1 1 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n1 2 1 1\n1 2 1 1\n2 1 1 1\n1 2 1 1\n2 1 1 1\n2 1 2 2\n1 1 1 2\n1 1 2 1\n1 1 2 1\n", "12\n2 1 1 1\n1 2 1 1\n2 2 2 1\n1 1 1 2\n1 1 2 1\n1 1 2 1\n2 1 1 1\n2 1 1 1\n1 2 1 1\n2 1 2 2\n1 1 1 2\n1 1 2 1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Egor came up with a new chips puzzle and suggests you to play. The puzzle has the form of a table with n rows and m columns, each cell can contain several black or white chips placed in a row. Thus, the state of the cell can be described by a string consisting of characters '0' (a white chip) and '1' (a black chip), possibly empty, and the whole puzzle can be described as a table, where each cell is a string of zeros and ones. The task is to get from one state of the puzzle some other state. To do this, you can use the following operation. * select 2 different cells (x_1, y_1) and (x_2, y_2): the cells must be in the same row or in the same column of the table, and the string in the cell (x_1, y_1) must be non-empty; * in one operation you can move the last character of the string at the cell (x_1, y_1) to the beginning of the string at the cell (x_2, y_2). Egor came up with two states of the table for you: the initial state and the final one. It is guaranteed that the number of zeros and ones in the tables are the same. Your goal is with several operations get the final state from the initial state. Of course, Egor does not want the number of operations to be very large. Let's denote as s the number of characters in each of the tables (which are the same). Then you should use no more than 4 ⋅ s operations. Input The first line contains two integers n and m (2 ≤ n, m ≤ 300) — the number of rows and columns of the table, respectively. The following n lines describe the initial state of the table in the following format: each line contains m non-empty strings consisting of zeros and ones. In the i-th of these lines, the j-th string is the string written at the cell (i, j). The rows are enumerated from 1 to n, the columns are numerated from 1 to m. The following n lines describe the final state of the table in the same format. Let's denote the total length of strings in the initial state as s. It is guaranteed that s ≤ 100 000. It is also guaranteed that the numbers of zeros and ones coincide in the initial and final states. Output On the first line print q — the number of operations used. You should find such a solution that 0 ≤ q ≤ 4 ⋅ s. In each the next q lines print 4 integers x_1, y_1, x_2, y_2. On the i-th line you should print the description of the i-th operation. These integers should satisfy the conditions 1 ≤ x_1, x_2 ≤ n, 1 ≤ y_1, y_2 ≤ m, (x_1, y_1) ≠ (x_2, y_2), x_1 = x_2 or y_1 = y_2. The string in the cell (x_1, y_1) should be non-empty. This sequence of operations should transform the initial state of the table to the final one. We can show that a solution exists. If there is more than one solution, find any of them. Examples Input 2 2 00 10 01 11 10 01 10 01 Output 4 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 Input 2 3 0 0 0 011 1 0 0 0 1 011 0 0 Output 4 2 2 1 2 1 2 2 2 1 2 1 3 1 3 1 2 Note Consider the first example. * The current state of the table: 00 10 01 11 The first operation. The cell (2, 1) contains the string 01. Applying the operation to cells (2, 1) and (1, 1), we move the 1 from the end of the string 01 to the beginning of the string 00 and get the string 100. * The current state of the table: 100 10 0 11 The second operation. The cell (1, 1) contains the string 100. Applying the operation to cells (1, 1) and (1, 2), we move the 0 from the end of the string 100 to the beginning of the string 10 and get the string 010. * The current state of the table: 10 010 0 11 The third operation. The cell (1, 2) contains the string 010. Applying the operation to cells (1, 2) and (2, 2), we move the 0 from the end of the string 010 to the beginning of the string 11 and get the string 011. * The current state of the table: 10 01 0 011 The fourth operation. The cell (2, 2) contains the string 011. Applying the operation to cells (2, 2) and (2, 1), we move the 1 from the end of the string 011 to the beginning of the string 0 and get the string 10. * The current state of the table: 10 01 10 01 It's easy to see that we have reached the final state of the table. ### Input: 2 2 00 10 01 11 10 01 10 01 ### Output: 24 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 1 2 2 2 2 1 2 2 2 1 2 1 2 2 1 2 2 2 1 2 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 ### Input: 2 3 0 0 0 011 1 0 0 0 1 011 0 0 ### Output: 28 1 2 1 1 1 3 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 1 2 2 2 2 1 2 3 1 3 1 3 1 2 1 2 1 3 1 3 2 3 1 2 2 2 2 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 3 1 1 1 2 ### Code: def fill(oper, curr, upper, second, n, m): for i in range(n): for j in range(m): for s in reversed(curr[i][j]): if s == '0': if i == 0: dest = (j + 1) % m oper.append((0, j, 0, dest)) upper[dest] += 1 else: oper.append((i, j, 0, j)) upper[j] += 1 else: if i == 1: dest = (j + 1) % m oper.append((1, j, 1, dest)) second[dest] += 1 else: oper.append((i, j, 1, j)) second[j] += 1 def mix(oper, start, finish, row): less = [] greater = [] for ind in range(len(start)): if start[ind] < finish[ind]: less.append(ind) else: greater.append(ind) l = 0 r = 0 while l != len(less): if start[less[l]] < finish[less[l]]: if start[greater[r]] > finish[greater[r]]: oper.append((row, greater[r], row, less[l])) start[less[l]] += 1 start[greater[r]] -= 1 else: r += 1 else: l += 1 def main(n, m, first, second): x = first y = [[list(reversed(st)) for st in second[i]] for i in range(n)] upper1 = [0] * m second1 = [0] * m oper = [] fill(oper, x, upper1, second1, n, m) upper2 = [0] * m second2 = [0] * m back = [] fill(back, y, upper2, second2, n, m) # print(upper1, upper2, second1, second2, end='\n') mix(oper, upper1, upper2, 0) mix(oper, second1, second2, 1) return str(len(oper) + len(back)) + '\n' + '\n'.join(' '.join(str(t + 1) for t in o) for o in oper) + '\n' + \ '\n'.join('{} {} {} {}'.format(o[2] + 1, o[3] + 1, o[0] + 1, o[1] + 1) for o in reversed(back)) if __name__ == '__main__': n, m = map(int, input().split()) print(main(n, m, [input().split() for _ in range(n)], [input().split() for _ in range(n)]))
1076_E. Vasya and a Tree_34532
Vasya has a tree consisting of n vertices with root in vertex 1. At first all vertices has 0 written on it. Let d(i, j) be the distance between vertices i and j, i.e. number of edges in the shortest path from i to j. Also, let's denote k-subtree of vertex x — set of vertices y such that next two conditions are met: * x is the ancestor of y (each vertex is the ancestor of itself); * d(x, y) ≤ k. Vasya needs you to process m queries. The i-th query is a triple v_i, d_i and x_i. For each query Vasya adds value x_i to each vertex from d_i-subtree of v_i. Report to Vasya all values, written on vertices of the tree after processing all queries. Input The first line contains single integer n (1 ≤ n ≤ 3 ⋅ 10^5) — number of vertices in the tree. Each of next n - 1 lines contains two integers x and y (1 ≤ x, y ≤ n) — edge between vertices x and y. It is guarantied that given graph is a tree. Next line contains single integer m (1 ≤ m ≤ 3 ⋅ 10^5) — number of queries. Each of next m lines contains three integers v_i, d_i, x_i (1 ≤ v_i ≤ n, 0 ≤ d_i ≤ 10^9, 1 ≤ x_i ≤ 10^9) — description of the i-th query. Output Print n integers. The i-th integers is the value, written in the i-th vertex after processing all queries. Examples Input 5 1 2 1 3 2 4 2 5 3 1 1 1 2 0 10 4 10 100 Output 1 11 1 100 0 Input 5 2 3 2 1 5 4 3 4 5 2 0 4 3 10 1 1 2 3 2 3 10 1 1 7 Output 10 24 14 11 11 Note In the first exapmle initial values in vertices are 0, 0, 0, 0, 0. After the first query values will be equal to 1, 1, 1, 0, 0. After the second query values will be equal to 1, 11, 1, 0, 0. After the third query values will be equal to 1, 11, 1, 100, 0.
import math import os import sys from io import BytesIO, IOBase from types import GeneratorType from collections import defaultdict BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") sys.setrecursionlimit(10**5) def bootstrap(f, stack=[]): def wrappedfunc(*args, **kwargs): if stack: return f(*args, **kwargs) else: to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) else: stack.pop() if not stack: break to = stack[-1].send(to) return to return wrappedfunc @bootstrap def dfs(u,i,p): global d global s s+=-d[i-1] for j in val[u]: d[i+j[0]]+=j[1] s+=j[1] ans[u]=s for j in adj[u]: if j!=p: yield dfs(j,i+1,u) for j in val[u]: d[i + j[0]] += -j[1] s += -j[1] s+=d[i-1] yield n=int(input()) adj=[[] for i in range(n+1)] for j in range(n-1): u,v=map(int,input().split()) adj[u].append(v) adj[v].append(u) val=[[] for i in range(n+1)] m=int(input()) for j in range(m): v,d,va=map(int,input().split()) val[v].append([d,va]) s=0 d=defaultdict(lambda:0) ans=[0 for i in range(n+1)] dfs(1,0,0) print(*ans[1:])
{ "input": [ "5\n1 2\n1 3\n2 4\n2 5\n3\n1 1 1\n2 0 10\n4 10 100\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 0 4\n3 10 1\n1 2 3\n2 3 10\n1 1 7\n", "1\n3\n1 1000000000 1000000000\n1 1000000000 1000000000\n1 1000000000 1000000000\n", "5\n1 2\n1 3\n2 4\n2 5\n3\n1 1000000000 1\n2 1000000000 10\n4 1000000000 100\n", "2\n1 2\n1\n1 500000000 1\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 10000000 4\n3 10 1\n1 2 3\n2 3 10\n1 1 7\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 1000000000 4\n3 10 1\n1 2 3\n2 3 10\n1 1 7\n", "19\n2 1\n3 2\n4 1\n5 1\n6 5\n7 4\n8 1\n9 2\n10 9\n11 9\n12 4\n13 10\n14 2\n15 9\n16 6\n17 13\n18 16\n19 8\n23\n16 259531913 13\n9 484727538 7\n2 174952922 9\n16 555559835 9\n4 835692337 2\n5 656716001 1\n11 981357393 3\n1 281380171 17\n6 150928639 18\n19 431687604 19\n9 609377645 1\n7 847715542 3\n17 595731628 2\n7 517431564 16\n18 355991047 11\n1 675637133 3\n15 792805835 18\n7 28098468 18\n15 67800207 13\n8 761233731 6\n9 220349684 10\n18 17583445 5\n18 666731721 9\n", "2\n1 2\n1\n1 1000000000 1\n", "5\n1 2\n1 3\n2 4\n2 5\n3\n1 100000000 1\n2 100000000 10\n4 100000000 100\n", "7\n6 7\n7 5\n3 2\n7 2\n2 1\n1 4\n3\n5 3 1\n7 6 4\n4 3 2\n", "11\n4 9\n3 8\n10 7\n10 2\n8 10\n6 4\n5 1\n8 6\n11 1\n1 4\n5\n1 7 73\n11 9 76\n1 8 60\n2 8 43\n4 10 97\n", "1\n3\n1 1000000000 1000000000\n1 1000010000 1000000000\n1 1000000000 1000000000\n", "2\n1 2\n1\n1 807983580 1\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 10000000 4\n3 10 1\n1 2 3\n2 3 7\n1 1 7\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 1000010000 4\n3 10 1\n1 2 3\n2 3 10\n1 1 7\n", "5\n1 2\n1 3\n2 4\n2 5\n3\n1 100000000 1\n2 100000000 14\n4 100000000 100\n", "7\n6 7\n7 5\n3 2\n7 2\n2 1\n1 4\n3\n5 3 2\n7 6 4\n4 3 2\n", "5\n1 2\n2 3\n2 4\n2 5\n3\n1 1 1\n2 0 10\n4 10 100\n", "1\n3\n1 1000000000 1000000001\n1 1000010000 1000000000\n1 1000000000 1000000000\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 10000000 4\n3 10 1\n1 2 3\n2 3 7\n1 1 0\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 1000010000 0\n3 10 1\n1 2 3\n2 3 10\n1 1 7\n", "2\n1 2\n1\n2 1000000101 1\n", "1\n3\n1 1000000100 1000000001\n1 1000010000 1000000000\n1 1000000000 1000100000\n", "1\n3\n1 1000000000 1000000000\n1 1000000000 1000000000\n1 1000000000 1000000010\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 1000000000 4\n3 10 1\n1 2 3\n2 3 10\n1 0 7\n", "19\n2 1\n3 2\n4 1\n5 1\n6 5\n7 4\n8 1\n9 2\n10 9\n11 9\n12 4\n13 10\n14 2\n15 9\n16 6\n17 13\n18 16\n19 8\n23\n16 259531913 13\n9 484727538 7\n2 174952922 9\n16 555559835 9\n4 835692337 2\n5 656716001 1\n11 981357393 3\n1 281380171 17\n6 150928639 18\n19 431687604 19\n9 609377645 1\n7 847715542 3\n10 595731628 2\n7 517431564 16\n18 355991047 11\n1 675637133 3\n15 792805835 18\n7 28098468 18\n15 67800207 13\n8 761233731 6\n9 220349684 10\n18 17583445 5\n18 666731721 9\n", "5\n1 2\n1 3\n1 4\n2 5\n3\n1 100000000 1\n2 100000000 10\n4 100000000 100\n", "7\n6 7\n7 5\n3 2\n7 2\n2 1\n1 4\n3\n5 3 1\n7 6 4\n4 2 2\n", "11\n4 9\n3 8\n10 7\n10 2\n8 10\n6 4\n5 1\n8 6\n11 1\n1 4\n5\n1 13 73\n11 9 76\n1 8 60\n2 8 43\n4 10 97\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 10000000 4\n3 10 1\n1 2 3\n2 3 7\n1 1 5\n", "5\n1 2\n1 3\n2 4\n3 5\n3\n1 100000000 1\n2 100000000 14\n4 100000000 100\n", "7\n6 7\n7 5\n3 2\n7 2\n2 1\n1 4\n3\n5 3 2\n7 6 2\n4 3 2\n", "1\n3\n1 1000000100 1000000001\n1 1000010000 1000010000\n1 1000000000 1000000000\n", "1\n3\n1 1000000100 1000000011\n1 1000010000 1000000000\n1 1000000000 1000100000\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 1000000000 4\n3 10 2\n1 2 3\n2 3 10\n1 0 7\n", "7\n6 7\n7 5\n3 2\n7 2\n2 1\n1 4\n3\n5 3 1\n7 6 4\n4 2 1\n", "11\n4 9\n3 8\n10 7\n1 2\n8 10\n6 4\n5 1\n8 6\n11 1\n1 4\n5\n1 13 73\n11 9 76\n1 8 60\n2 8 43\n4 10 97\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 10000000 4\n3 10 1\n1 2 3\n2 3 1\n1 1 5\n", "5\n1 2\n1 3\n2 4\n3 5\n3\n1 100000000 1\n1 100000000 14\n4 100000000 100\n", "7\n6 7\n7 5\n3 2\n7 2\n2 1\n1 4\n3\n2 3 2\n7 6 2\n4 3 2\n", "1\n3\n1 1000000100 1000000001\n1 1000010000 0000010000\n1 1000000000 1000000000\n", "1\n3\n1 1000000100 1000010011\n1 1000010000 1000000000\n1 1000000000 1000100000\n", "1\n3\n1 1000000001 1000000000\n1 1000010000 1000000000\n1 1010000000 1000100000\n", "5\n2 3\n2 1\n5 4\n3 4\n5\n2 10000000 4\n3 10 1\n1 2 3\n2 3 2\n1 1 5\n", "5\n1 2\n1 3\n2 4\n3 5\n3\n1 100000000 1\n1 100000000 14\n5 100000000 100\n", "1\n3\n1 1000000100 1000010011\n1 1000010000 1010000000\n1 1000000000 1000100000\n", "1\n3\n1 1100000000 1000000000\n1 1010000000 1000000000\n1 1000000000 1000100010\n", "2\n1 2\n1\n2 41018848 0\n", "2\n1 2\n1\n1 1000000100 1\n", "2\n1 2\n1\n1 1000000101 1\n", "1\n3\n1 1000000100 1000000001\n1 1000010000 1000000000\n1 1000000000 1000000000\n", "2\n1 2\n1\n2 500000000 1\n", "2\n1 2\n1\n1 1010000000 1\n", "1\n3\n1 1000000001 1000000000\n1 1000010000 1000000000\n1 1000000000 1000000000\n", "5\n1 2\n2 3\n2 4\n3 5\n3\n1 1 1\n2 0 10\n4 10 100\n", "1\n3\n1 1100000000 1000000000\n1 1000000000 1000000000\n1 1000000000 1000000010\n", "2\n1 2\n1\n2 53658551 1\n", "1\n3\n1 1000000001 1000000000\n1 1000010000 1000000000\n1 1010000000 1000000000\n", "1\n3\n1 1100000000 1000000000\n1 1010000000 1000000000\n1 1000000000 1000000010\n", "2\n1 2\n1\n2 41018848 1\n", "11\n4 9\n3 8\n10 7\n1 2\n8 10\n6 4\n5 1\n8 6\n11 1\n1 4\n5\n1 17 73\n11 9 76\n1 8 60\n2 8 43\n4 10 97\n", "7\n6 7\n7 5\n3 4\n7 2\n2 1\n1 4\n3\n2 3 2\n7 6 2\n4 3 2\n", "1\n3\n1 0000000100 1000000001\n1 1000010000 0000010000\n1 1000000000 1000000000\n", "11\n4 9\n3 8\n10 7\n1 2\n8 10\n6 4\n5 1\n8 6\n11 1\n1 4\n5\n1 21 73\n11 9 76\n1 8 60\n2 8 43\n4 10 97\n" ], "output": [ "1 11 1 100 0 \n", "10 24 14 11 11 \n", "3000000000 \n", "1 11 1 111 11 \n", "1 1 \n", "10 24 18 15 15 \n", "10 24 18 15 15 \n", "20 29 29 22 21 39 59 26 47 47 50 22 47 29 78 61 49 86 45 \n", "1 1 \n", "1 11 1 111 11 \n", "0 0 0 2 5 4 4 \n", "133 273 230 230 133 230 230 230 230 230 209 ", "3000000000\n", "1 1\n", "10 21 15 12 12\n", "10 24 18 15 15\n", "1 15 1 115 15\n", "0 0 0 2 6 4 4\n", "1 11 0 100 0\n", "3000000001\n", "3 14 15 12 12\n", "10 20 14 11 11\n", "0 1\n", "3000100001\n", "3000000010\n", "10 17 18 15 15\n", "20 29 29 22 21 39 59 26 47 49 50 22 49 29 78 61 49 86 45\n", "1 11 1 101 11\n", "0 0 0 2 5 4 4\n", "133 273 230 230 133 230 230 230 230 230 209\n", "8 19 15 12 12\n", "1 15 1 115 1\n", "0 0 0 2 4 2 2\n", "3000010001\n", "3000100011\n", "10 17 19 16 16\n", "0 0 0 1 5 4 4\n", "133 176 230 230 133 230 230 230 230 230 209\n", "8 13 9 6 6\n", "15 15 15 115 15\n", "0 2 2 2 4 4 4\n", "2000010001\n", "3000110011\n", "3000100000\n", "8 14 10 7 7\n", "15 15 15 15 115\n", "3010110011\n", "3000100010\n", "0 0\n", "1 1\n", "1 1\n", "3000000001\n", "0 1\n", "1 1\n", "3000000000\n", "1 11 0 100 0\n", "3000000010\n", "0 1\n", "3000000000\n", "3000000010\n", "0 1\n", "133 176 230 230 133 230 230 230 230 230 209\n", "0 2 2 2 4 4 4\n", "2000010001\n", "133 176 230 230 133 230 230 230 230 230 209\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Vasya has a tree consisting of n vertices with root in vertex 1. At first all vertices has 0 written on it. Let d(i, j) be the distance between vertices i and j, i.e. number of edges in the shortest path from i to j. Also, let's denote k-subtree of vertex x — set of vertices y such that next two conditions are met: * x is the ancestor of y (each vertex is the ancestor of itself); * d(x, y) ≤ k. Vasya needs you to process m queries. The i-th query is a triple v_i, d_i and x_i. For each query Vasya adds value x_i to each vertex from d_i-subtree of v_i. Report to Vasya all values, written on vertices of the tree after processing all queries. Input The first line contains single integer n (1 ≤ n ≤ 3 ⋅ 10^5) — number of vertices in the tree. Each of next n - 1 lines contains two integers x and y (1 ≤ x, y ≤ n) — edge between vertices x and y. It is guarantied that given graph is a tree. Next line contains single integer m (1 ≤ m ≤ 3 ⋅ 10^5) — number of queries. Each of next m lines contains three integers v_i, d_i, x_i (1 ≤ v_i ≤ n, 0 ≤ d_i ≤ 10^9, 1 ≤ x_i ≤ 10^9) — description of the i-th query. Output Print n integers. The i-th integers is the value, written in the i-th vertex after processing all queries. Examples Input 5 1 2 1 3 2 4 2 5 3 1 1 1 2 0 10 4 10 100 Output 1 11 1 100 0 Input 5 2 3 2 1 5 4 3 4 5 2 0 4 3 10 1 1 2 3 2 3 10 1 1 7 Output 10 24 14 11 11 Note In the first exapmle initial values in vertices are 0, 0, 0, 0, 0. After the first query values will be equal to 1, 1, 1, 0, 0. After the second query values will be equal to 1, 11, 1, 0, 0. After the third query values will be equal to 1, 11, 1, 100, 0. ### Input: 5 1 2 1 3 2 4 2 5 3 1 1 1 2 0 10 4 10 100 ### Output: 1 11 1 100 0 ### Input: 5 2 3 2 1 5 4 3 4 5 2 0 4 3 10 1 1 2 3 2 3 10 1 1 7 ### Output: 10 24 14 11 11 ### Code: import math import os import sys from io import BytesIO, IOBase from types import GeneratorType from collections import defaultdict BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") sys.setrecursionlimit(10**5) def bootstrap(f, stack=[]): def wrappedfunc(*args, **kwargs): if stack: return f(*args, **kwargs) else: to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) else: stack.pop() if not stack: break to = stack[-1].send(to) return to return wrappedfunc @bootstrap def dfs(u,i,p): global d global s s+=-d[i-1] for j in val[u]: d[i+j[0]]+=j[1] s+=j[1] ans[u]=s for j in adj[u]: if j!=p: yield dfs(j,i+1,u) for j in val[u]: d[i + j[0]] += -j[1] s += -j[1] s+=d[i-1] yield n=int(input()) adj=[[] for i in range(n+1)] for j in range(n-1): u,v=map(int,input().split()) adj[u].append(v) adj[v].append(u) val=[[] for i in range(n+1)] m=int(input()) for j in range(m): v,d,va=map(int,input().split()) val[v].append([d,va]) s=0 d=defaultdict(lambda:0) ans=[0 for i in range(n+1)] dfs(1,0,0) print(*ans[1:])
1118_E. Yet Another Ball Problem_34538
The king of Berland organizes a ball! n pair are invited to the ball, they are numbered from 1 to n. Each pair consists of one man and one woman. Each dancer (either man or woman) has a monochrome costume. The color of each costume is represented by an integer from 1 to k, inclusive. Let b_i be the color of the man's costume and g_i be the color of the woman's costume in the i-th pair. You have to choose a color for each dancer's costume (i.e. values b_1, b_2, ..., b_n and g_1, g_2, ... g_n) in such a way that: 1. for every i: b_i and g_i are integers between 1 and k, inclusive; 2. there are no two completely identical pairs, i.e. no two indices i, j (i ≠ j) such that b_i = b_j and g_i = g_j at the same time; 3. there is no pair such that the color of the man's costume is the same as the color of the woman's costume in this pair, i.e. b_i ≠ g_i for every i; 4. for each two consecutive (adjacent) pairs both man's costume colors and woman's costume colors differ, i.e. for every i from 1 to n-1 the conditions b_i ≠ b_{i + 1} and g_i ≠ g_{i + 1} hold. Let's take a look at the examples of bad and good color choosing (for n=4 and k=3, man is the first in a pair and woman is the second): Bad color choosing: * (1, 2), (2, 3), (3, 2), (1, 2) — contradiction with the second rule (there are equal pairs); * (2, 3), (1, 1), (3, 2), (1, 3) — contradiction with the third rule (there is a pair with costumes of the same color); * (1, 2), (2, 3), (1, 3), (2, 1) — contradiction with the fourth rule (there are two consecutive pairs such that colors of costumes of men/women are the same). Good color choosing: * (1, 2), (2, 1), (1, 3), (3, 1); * (1, 2), (3, 1), (2, 3), (3, 2); * (3, 1), (1, 2), (2, 3), (3, 2). You have to find any suitable color choosing or say that no suitable choosing exists. Input The only line of the input contains two integers n and k (2 ≤ n, k ≤ 2 ⋅ 10^5) — the number of pairs and the number of colors. Output If it is impossible to find any suitable colors choosing, print "NO". Otherwise print "YES" and then the colors of the costumes of pairs in the next n lines. The i-th line should contain two integers b_i and g_i — colors of costumes of man and woman in the i-th pair, respectively. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Examples Input 4 3 Output YES 3 1 1 3 3 2 2 3 Input 10 4 Output YES 2 1 1 3 4 2 3 4 4 3 3 2 2 4 4 1 1 4 3 1 Input 13 4 Output NO
n,k=map(int,input().split()) if(n>(k*(k-1))): print('NO') else: ans=[0 for i in range(n)] for i in range(len(ans)): ans[i]=(i+1)%k if(ans[i]==0): ans[i]=k count=1 temp=[0 for i in range(len(ans))] for i in range(len(ans)): if(i%k==0): temp[i]=count+1 count+=1 else: temp[i]=temp[i-1]+1 if(temp[i]>k): temp[i]%=k print('YES') for i in range(n): print(ans[i],temp[i])
{ "input": [ "4 3\n", "13 4\n", "10 4\n", "6 5\n", "100 100\n", "10 4\n", "7 3\n", "3 3\n", "69 42\n", "42 69\n", "10 5\n", "20 10\n", "39801 200\n", "101 100\n", "91 10\n", "11 10\n", "201 200\n", "5 5\n", "21 5\n", "90 10\n", "3 2\n", "10 10\n", "199363 447\n", "4 3\n", "6 3\n", "30 6\n", "200 200\n", "9901 100\n", "2 2\n", "200 100\n", "20 5\n", "4 2\n", "12345 54321\n", "9900 100\n", "447 447\n", "448 447\n", "894 447\n", "400 200\n", "39800 200\n", "199362 447\n", "6 4\n", "000 100\n", "10 8\n", "7 2\n", "1 3\n", "69 15\n", "42 132\n", "11 5\n", "37 10\n", "52887 200\n", "110 100\n", "91 13\n", "11 16\n", "201 186\n", "5 9\n", "2 5\n", "160 10\n", "3 1\n", "7 10\n", "199363 877\n", "8 3\n", "5 3\n", "1 6\n", "396 200\n", "9703 100\n", "3 0\n", "200 110\n", "8 5\n", "6 2\n", "12345 76489\n", "15058 100\n", "184 447\n", "497 447\n", "894 770\n", "400 17\n", "56159 200\n", "199362 825\n", "0 3\n", "13 6\n", "19 4\n", "9 4\n", "010 100\n", "6 8\n", "9 2\n", "1 2\n", "109 15\n", "37 132\n", "11 1\n", "37 2\n", "36522 200\n", "110 101\n", "89 13\n", "11 15\n", "374 186\n", "5 18\n", "1 5\n", "160 5\n", "0 2\n", "7 7\n", "179437 877\n", "13 3\n", "5 6\n", "0 6\n", "636 200\n", "9703 110\n", "6 0\n", "236 100\n", "2 6\n", "9 3\n", "15844 76489\n", "29670 100\n", "285 447\n", "497 402\n", "1215 770\n", "70 17\n", "56159 235\n", "199362 876\n", "1 7\n", "9 6\n", "4 4\n", "-1 2\n", "010 101\n", "6 12\n", "15 2\n", "1 4\n", "179 15\n", "52 132\n", "11 2\n", "67 2\n", "36522 106\n", "110 111\n", "161 13\n", "9 15\n", "374 230\n", "1 18\n", "2 7\n", "133 5\n", "-1 3\n", "3 7\n", "135052 877\n" ], "output": [ "YES\n1 2\n2 1\n1 3\n3 1\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n2 3\n3 2\n2 4\n4 2\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n2 3\n3 2\n2 4\n4 2\n", "NO", "YES\n1 2\n2 1\n1 3\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n2 3\n3 2\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n2 3\n3 2\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n1 102\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n2 3\n3 2\n2 4\n4 2\n2 5\n5 2\n2 6\n6 2\n2 7\n7 2\n2 8\n8 2\n2 9\n9 2\n2 10\n10 2\n3 4\n4 3\n3 5\n5 3\n3 6\n6 3\n3 7\n7 3\n3 8\n8 3\n3 9\n9 3\n3 10\n10 3\n4 5\n5 4\n4 6\n6 4\n4 7\n7 4\n4 8\n8 4\n4 9\n9 4\n4 10\n10 4\n5 6\n6 5\n5 7\n7 5\n5 8\n8 5\n5 9\n9 5\n5 10\n10 5\n6 7\n7 6\n6 8\n8 6\n6 9\n9 6\n6 10\n10 6\n7 8\n8 7\n7 9\n9 7\n7 10\n10 7\n8 9\n9 8\n8 10\n10 8\n9 10\n10 9\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n", "YES\n1 2\n2 1\n1 3\n3 1\n2 3\n3 2\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n2 3\n3 2\n2 4\n4 2\n2 5\n5 2\n2 6\n6 2\n3 4\n4 3\n3 5\n5 3\n3 6\n6 3\n4 5\n5 4\n4 6\n6 4\n5 6\n6 5\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n", "NO", "YES\n1 2\n2 1\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n2 3\n3 2\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n2 3\n3 2\n2 4\n4 2\n2 5\n5 2\n3 4\n4 3\n3 5\n5 3\n4 5\n5 4\n", "NO", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n1 102\n102 1\n1 103\n103 1\n1 104\n104 1\n1 105\n105 1\n1 106\n106 1\n1 107\n107 1\n1 108\n108 1\n1 109\n109 1\n1 110\n110 1\n1 111\n111 1\n1 112\n112 1\n1 113\n113 1\n1 114\n114 1\n1 115\n115 1\n1 116\n116 1\n1 117\n117 1\n1 118\n118 1\n1 119\n119 1\n1 120\n120 1\n1 121\n121 1\n1 122\n122 1\n1 123\n123 1\n1 124\n124 1\n1 125\n125 1\n1 126\n126 1\n1 127\n127 1\n1 128\n128 1\n1 129\n129 1\n1 130\n130 1\n1 131\n131 1\n1 132\n132 1\n1 133\n133 1\n1 134\n134 1\n1 135\n135 1\n1 136\n136 1\n1 137\n137 1\n1 138\n138 1\n1 139\n139 1\n1 140\n140 1\n1 141\n141 1\n1 142\n142 1\n1 143\n143 1\n1 144\n144 1\n1 145\n145 1\n1 146\n146 1\n1 147\n147 1\n1 148\n148 1\n1 149\n149 1\n1 150\n150 1\n1 151\n151 1\n1 152\n152 1\n1 153\n153 1\n1 154\n154 1\n1 155\n155 1\n1 156\n156 1\n1 157\n157 1\n1 158\n158 1\n1 159\n159 1\n1 160\n160 1\n1 161\n161 1\n1 162\n162 1\n1 163\n163 1\n1 164\n164 1\n1 165\n165 1\n1 166\n166 1\n1 167\n167 1\n1 168\n168 1\n1 169\n169 1\n1 170\n170 1\n1 171\n171 1\n1 172\n172 1\n1 173\n173 1\n1 174\n174 1\n1 175\n175 1\n1 176\n176 1\n1 177\n177 1\n1 178\n178 1\n1 179\n179 1\n1 180\n180 1\n1 181\n181 1\n1 182\n182 1\n1 183\n183 1\n1 184\n184 1\n1 185\n185 1\n1 186\n186 1\n1 187\n187 1\n1 188\n188 1\n1 189\n189 1\n1 190\n190 1\n1 191\n191 1\n1 192\n192 1\n1 193\n193 1\n1 194\n194 1\n1 195\n195 1\n1 196\n196 1\n1 197\n197 1\n1 198\n198 1\n1 199\n199 1\n1 200\n200 1\n1 201\n201 1\n1 202\n202 1\n1 203\n203 1\n1 204\n204 1\n1 205\n205 1\n1 206\n206 1\n1 207\n207 1\n1 208\n208 1\n1 209\n209 1\n1 210\n210 1\n1 211\n211 1\n1 212\n212 1\n1 213\n213 1\n1 214\n214 1\n1 215\n215 1\n1 216\n216 1\n1 217\n217 1\n1 218\n218 1\n1 219\n219 1\n1 220\n220 1\n1 221\n221 1\n1 222\n222 1\n1 223\n223 1\n1 224\n224 1\n1 225\n225 1\n1 226\n226 1\n1 227\n227 1\n1 228\n228 1\n1 229\n229 1\n1 230\n230 1\n1 231\n231 1\n1 232\n232 1\n1 233\n233 1\n1 234\n234 1\n1 235\n235 1\n1 236\n236 1\n1 237\n237 1\n1 238\n238 1\n1 239\n239 1\n1 240\n240 1\n1 241\n241 1\n1 242\n242 1\n1 243\n243 1\n1 244\n244 1\n1 245\n245 1\n1 246\n246 1\n1 247\n247 1\n1 248\n248 1\n1 249\n249 1\n1 250\n250 1\n1 251\n251 1\n1 252\n252 1\n1 253\n253 1\n1 254\n254 1\n1 255\n255 1\n1 256\n256 1\n1 257\n257 1\n1 258\n258 1\n1 259\n259 1\n1 260\n260 1\n1 261\n261 1\n1 262\n262 1\n1 263\n263 1\n1 264\n264 1\n1 265\n265 1\n1 266\n266 1\n1 267\n267 1\n1 268\n268 1\n1 269\n269 1\n1 270\n270 1\n1 271\n271 1\n1 272\n272 1\n1 273\n273 1\n1 274\n274 1\n1 275\n275 1\n1 276\n276 1\n1 277\n277 1\n1 278\n278 1\n1 279\n279 1\n1 280\n280 1\n1 281\n281 1\n1 282\n282 1\n1 283\n283 1\n1 284\n284 1\n1 285\n285 1\n1 286\n286 1\n1 287\n287 1\n1 288\n288 1\n1 289\n289 1\n1 290\n290 1\n1 291\n291 1\n1 292\n292 1\n1 293\n293 1\n1 294\n294 1\n1 295\n295 1\n1 296\n296 1\n1 297\n297 1\n1 298\n298 1\n1 299\n299 1\n1 300\n300 1\n1 301\n301 1\n1 302\n302 1\n1 303\n303 1\n1 304\n304 1\n1 305\n305 1\n1 306\n306 1\n1 307\n307 1\n1 308\n308 1\n1 309\n309 1\n1 310\n310 1\n1 311\n311 1\n1 312\n312 1\n1 313\n313 1\n1 314\n314 1\n1 315\n315 1\n1 316\n316 1\n1 317\n317 1\n1 318\n318 1\n1 319\n319 1\n1 320\n320 1\n1 321\n321 1\n1 322\n322 1\n1 323\n323 1\n1 324\n324 1\n1 325\n325 1\n1 326\n326 1\n1 327\n327 1\n1 328\n328 1\n1 329\n329 1\n1 330\n330 1\n1 331\n331 1\n1 332\n332 1\n1 333\n333 1\n1 334\n334 1\n1 335\n335 1\n1 336\n336 1\n1 337\n337 1\n1 338\n338 1\n1 339\n339 1\n1 340\n340 1\n1 341\n341 1\n1 342\n342 1\n1 343\n343 1\n1 344\n344 1\n1 345\n345 1\n1 346\n346 1\n1 347\n347 1\n1 348\n348 1\n1 349\n349 1\n1 350\n350 1\n1 351\n351 1\n1 352\n352 1\n1 353\n353 1\n1 354\n354 1\n1 355\n355 1\n1 356\n356 1\n1 357\n357 1\n1 358\n358 1\n1 359\n359 1\n1 360\n360 1\n1 361\n361 1\n1 362\n362 1\n1 363\n363 1\n1 364\n364 1\n1 365\n365 1\n1 366\n366 1\n1 367\n367 1\n1 368\n368 1\n1 369\n369 1\n1 370\n370 1\n1 371\n371 1\n1 372\n372 1\n1 373\n373 1\n1 374\n374 1\n1 375\n375 1\n1 376\n376 1\n1 377\n377 1\n1 378\n378 1\n1 379\n379 1\n1 380\n380 1\n1 381\n381 1\n1 382\n382 1\n1 383\n383 1\n1 384\n384 1\n1 385\n385 1\n1 386\n386 1\n1 387\n387 1\n1 388\n388 1\n1 389\n389 1\n1 390\n390 1\n1 391\n391 1\n1 392\n392 1\n1 393\n393 1\n1 394\n394 1\n1 395\n395 1\n1 396\n396 1\n1 397\n397 1\n1 398\n398 1\n1 399\n399 1\n1 400\n400 1\n1 401\n401 1\n1 402\n402 1\n1 403\n403 1\n1 404\n404 1\n1 405\n405 1\n1 406\n406 1\n1 407\n407 1\n1 408\n408 1\n1 409\n409 1\n1 410\n410 1\n1 411\n411 1\n1 412\n412 1\n1 413\n413 1\n1 414\n414 1\n1 415\n415 1\n1 416\n416 1\n1 417\n417 1\n1 418\n418 1\n1 419\n419 1\n1 420\n420 1\n1 421\n421 1\n1 422\n422 1\n1 423\n423 1\n1 424\n424 1\n1 425\n425 1\n1 426\n426 1\n1 427\n427 1\n1 428\n428 1\n1 429\n429 1\n1 430\n430 1\n1 431\n431 1\n1 432\n432 1\n1 433\n433 1\n1 434\n434 1\n1 435\n435 1\n1 436\n436 1\n1 437\n437 1\n1 438\n438 1\n1 439\n439 1\n1 440\n440 1\n1 441\n441 1\n1 442\n442 1\n1 443\n443 1\n1 444\n444 1\n1 445\n445 1\n1 446\n446 1\n1 447\n447 1\n1 448\n448 1\n1 449\n449 1\n1 450\n450 1\n1 451\n451 1\n1 452\n452 1\n1 453\n453 1\n1 454\n454 1\n1 455\n455 1\n1 456\n456 1\n1 457\n457 1\n1 458\n458 1\n1 459\n459 1\n1 460\n460 1\n1 461\n461 1\n1 462\n462 1\n1 463\n463 1\n1 464\n464 1\n1 465\n465 1\n1 466\n466 1\n1 467\n467 1\n1 468\n468 1\n1 469\n469 1\n1 470\n470 1\n1 471\n471 1\n1 472\n472 1\n1 473\n473 1\n1 474\n474 1\n1 475\n475 1\n1 476\n476 1\n1 477\n477 1\n1 478\n478 1\n1 479\n479 1\n1 480\n480 1\n1 481\n481 1\n1 482\n482 1\n1 483\n483 1\n1 484\n484 1\n1 485\n485 1\n1 486\n486 1\n1 487\n487 1\n1 488\n488 1\n1 489\n489 1\n1 490\n490 1\n1 491\n491 1\n1 492\n492 1\n1 493\n493 1\n1 494\n494 1\n1 495\n495 1\n1 496\n496 1\n1 497\n497 1\n1 498\n498 1\n1 499\n499 1\n1 500\n500 1\n1 501\n501 1\n1 502\n502 1\n1 503\n503 1\n1 504\n504 1\n1 505\n505 1\n1 506\n506 1\n1 507\n507 1\n1 508\n508 1\n1 509\n509 1\n1 510\n510 1\n1 511\n511 1\n1 512\n512 1\n1 513\n513 1\n1 514\n514 1\n1 515\n515 1\n1 516\n516 1\n1 517\n517 1\n1 518\n518 1\n1 519\n519 1\n1 520\n520 1\n1 521\n521 1\n1 522\n522 1\n1 523\n523 1\n1 524\n524 1\n1 525\n525 1\n1 526\n526 1\n1 527\n527 1\n1 528\n528 1\n1 529\n529 1\n1 530\n530 1\n1 531\n531 1\n1 532\n532 1\n1 533\n533 1\n1 534\n534 1\n1 535\n535 1\n1 536\n536 1\n1 537\n537 1\n1 538\n538 1\n1 539\n539 1\n1 540\n540 1\n1 541\n541 1\n1 542\n542 1\n1 543\n543 1\n1 544\n544 1\n1 545\n545 1\n1 546\n546 1\n1 547\n547 1\n1 548\n548 1\n1 549\n549 1\n1 550\n550 1\n1 551\n551 1\n1 552\n552 1\n1 553\n553 1\n1 554\n554 1\n1 555\n555 1\n1 556\n556 1\n1 557\n557 1\n1 558\n558 1\n1 559\n559 1\n1 560\n560 1\n1 561\n561 1\n1 562\n562 1\n1 563\n563 1\n1 564\n564 1\n1 565\n565 1\n1 566\n566 1\n1 567\n567 1\n1 568\n568 1\n1 569\n569 1\n1 570\n570 1\n1 571\n571 1\n1 572\n572 1\n1 573\n573 1\n1 574\n574 1\n1 575\n575 1\n1 576\n576 1\n1 577\n577 1\n1 578\n578 1\n1 579\n579 1\n1 580\n580 1\n1 581\n581 1\n1 582\n582 1\n1 583\n583 1\n1 584\n584 1\n1 585\n585 1\n1 586\n586 1\n1 587\n587 1\n1 588\n588 1\n1 589\n589 1\n1 590\n590 1\n1 591\n591 1\n1 592\n592 1\n1 593\n593 1\n1 594\n594 1\n1 595\n595 1\n1 596\n596 1\n1 597\n597 1\n1 598\n598 1\n1 599\n599 1\n1 600\n600 1\n1 601\n601 1\n1 602\n602 1\n1 603\n603 1\n1 604\n604 1\n1 605\n605 1\n1 606\n606 1\n1 607\n607 1\n1 608\n608 1\n1 609\n609 1\n1 610\n610 1\n1 611\n611 1\n1 612\n612 1\n1 613\n613 1\n1 614\n614 1\n1 615\n615 1\n1 616\n616 1\n1 617\n617 1\n1 618\n618 1\n1 619\n619 1\n1 620\n620 1\n1 621\n621 1\n1 622\n622 1\n1 623\n623 1\n1 624\n624 1\n1 625\n625 1\n1 626\n626 1\n1 627\n627 1\n1 628\n628 1\n1 629\n629 1\n1 630\n630 1\n1 631\n631 1\n1 632\n632 1\n1 633\n633 1\n1 634\n634 1\n1 635\n635 1\n1 636\n636 1\n1 637\n637 1\n1 638\n638 1\n1 639\n639 1\n1 640\n640 1\n1 641\n641 1\n1 642\n642 1\n1 643\n643 1\n1 644\n644 1\n1 645\n645 1\n1 646\n646 1\n1 647\n647 1\n1 648\n648 1\n1 649\n649 1\n1 650\n650 1\n1 651\n651 1\n1 652\n652 1\n1 653\n653 1\n1 654\n654 1\n1 655\n655 1\n1 656\n656 1\n1 657\n657 1\n1 658\n658 1\n1 659\n659 1\n1 660\n660 1\n1 661\n661 1\n1 662\n662 1\n1 663\n663 1\n1 664\n664 1\n1 665\n665 1\n1 666\n666 1\n1 667\n667 1\n1 668\n668 1\n1 669\n669 1\n1 670\n670 1\n1 671\n671 1\n1 672\n672 1\n1 673\n673 1\n1 674\n674 1\n1 675\n675 1\n1 676\n676 1\n1 677\n677 1\n1 678\n678 1\n1 679\n679 1\n1 680\n680 1\n1 681\n681 1\n1 682\n682 1\n1 683\n683 1\n1 684\n684 1\n1 685\n685 1\n1 686\n686 1\n1 687\n687 1\n1 688\n688 1\n1 689\n689 1\n1 690\n690 1\n1 691\n691 1\n1 692\n692 1\n1 693\n693 1\n1 694\n694 1\n1 695\n695 1\n1 696\n696 1\n1 697\n697 1\n1 698\n698 1\n1 699\n699 1\n1 700\n700 1\n1 701\n701 1\n1 702\n702 1\n1 703\n703 1\n1 704\n704 1\n1 705\n705 1\n1 706\n706 1\n1 707\n707 1\n1 708\n708 1\n1 709\n709 1\n1 710\n710 1\n1 711\n711 1\n1 712\n712 1\n1 713\n713 1\n1 714\n714 1\n1 715\n715 1\n1 716\n716 1\n1 717\n717 1\n1 718\n718 1\n1 719\n719 1\n1 720\n720 1\n1 721\n721 1\n1 722\n722 1\n1 723\n723 1\n1 724\n724 1\n1 725\n725 1\n1 726\n726 1\n1 727\n727 1\n1 728\n728 1\n1 729\n729 1\n1 730\n730 1\n1 731\n731 1\n1 732\n732 1\n1 733\n733 1\n1 734\n734 1\n1 735\n735 1\n1 736\n736 1\n1 737\n737 1\n1 738\n738 1\n1 739\n739 1\n1 740\n740 1\n1 741\n741 1\n1 742\n742 1\n1 743\n743 1\n1 744\n744 1\n1 745\n745 1\n1 746\n746 1\n1 747\n747 1\n1 748\n748 1\n1 749\n749 1\n1 750\n750 1\n1 751\n751 1\n1 752\n752 1\n1 753\n753 1\n1 754\n754 1\n1 755\n755 1\n1 756\n756 1\n1 757\n757 1\n1 758\n758 1\n1 759\n759 1\n1 760\n760 1\n1 761\n761 1\n1 762\n762 1\n1 763\n763 1\n1 764\n764 1\n1 765\n765 1\n1 766\n766 1\n1 767\n767 1\n1 768\n768 1\n1 769\n769 1\n1 770\n770 1\n1 771\n771 1\n1 772\n772 1\n1 773\n773 1\n1 774\n774 1\n1 775\n775 1\n1 776\n776 1\n1 777\n777 1\n1 778\n778 1\n1 779\n779 1\n1 780\n780 1\n1 781\n781 1\n1 782\n782 1\n1 783\n783 1\n1 784\n784 1\n1 785\n785 1\n1 786\n786 1\n1 787\n787 1\n1 788\n788 1\n1 789\n789 1\n1 790\n790 1\n1 791\n791 1\n1 792\n792 1\n1 793\n793 1\n1 794\n794 1\n1 795\n795 1\n1 796\n796 1\n1 797\n797 1\n1 798\n798 1\n1 799\n799 1\n1 800\n800 1\n1 801\n801 1\n1 802\n802 1\n1 803\n803 1\n1 804\n804 1\n1 805\n805 1\n1 806\n806 1\n1 807\n807 1\n1 808\n808 1\n1 809\n809 1\n1 810\n810 1\n1 811\n811 1\n1 812\n812 1\n1 813\n813 1\n1 814\n814 1\n1 815\n815 1\n1 816\n816 1\n1 817\n817 1\n1 818\n818 1\n1 819\n819 1\n1 820\n820 1\n1 821\n821 1\n1 822\n822 1\n1 823\n823 1\n1 824\n824 1\n1 825\n825 1\n1 826\n826 1\n1 827\n827 1\n1 828\n828 1\n1 829\n829 1\n1 830\n830 1\n1 831\n831 1\n1 832\n832 1\n1 833\n833 1\n1 834\n834 1\n1 835\n835 1\n1 836\n836 1\n1 837\n837 1\n1 838\n838 1\n1 839\n839 1\n1 840\n840 1\n1 841\n841 1\n1 842\n842 1\n1 843\n843 1\n1 844\n844 1\n1 845\n845 1\n1 846\n846 1\n1 847\n847 1\n1 848\n848 1\n1 849\n849 1\n1 850\n850 1\n1 851\n851 1\n1 852\n852 1\n1 853\n853 1\n1 854\n854 1\n1 855\n855 1\n1 856\n856 1\n1 857\n857 1\n1 858\n858 1\n1 859\n859 1\n1 860\n860 1\n1 861\n861 1\n1 862\n862 1\n1 863\n863 1\n1 864\n864 1\n1 865\n865 1\n1 866\n866 1\n1 867\n867 1\n1 868\n868 1\n1 869\n869 1\n1 870\n870 1\n1 871\n871 1\n1 872\n872 1\n1 873\n873 1\n1 874\n874 1\n1 875\n875 1\n1 876\n876 1\n1 877\n877 1\n1 878\n878 1\n1 879\n879 1\n1 880\n880 1\n1 881\n881 1\n1 882\n882 1\n1 883\n883 1\n1 884\n884 1\n1 885\n885 1\n1 886\n886 1\n1 887\n887 1\n1 888\n888 1\n1 889\n889 1\n1 890\n890 1\n1 891\n891 1\n1 892\n892 1\n1 893\n893 1\n1 894\n894 1\n1 895\n895 1\n1 896\n896 1\n1 897\n897 1\n1 898\n898 1\n1 899\n899 1\n1 900\n900 1\n1 901\n901 1\n1 902\n902 1\n1 903\n903 1\n1 904\n904 1\n1 905\n905 1\n1 906\n906 1\n1 907\n907 1\n1 908\n908 1\n1 909\n909 1\n1 910\n910 1\n1 911\n911 1\n1 912\n912 1\n1 913\n913 1\n1 914\n914 1\n1 915\n915 1\n1 916\n916 1\n1 917\n917 1\n1 918\n918 1\n1 919\n919 1\n1 920\n920 1\n1 921\n921 1\n1 922\n922 1\n1 923\n923 1\n1 924\n924 1\n1 925\n925 1\n1 926\n926 1\n1 927\n927 1\n1 928\n928 1\n1 929\n929 1\n1 930\n930 1\n1 931\n931 1\n1 932\n932 1\n1 933\n933 1\n1 934\n934 1\n1 935\n935 1\n1 936\n936 1\n1 937\n937 1\n1 938\n938 1\n1 939\n939 1\n1 940\n940 1\n1 941\n941 1\n1 942\n942 1\n1 943\n943 1\n1 944\n944 1\n1 945\n945 1\n1 946\n946 1\n1 947\n947 1\n1 948\n948 1\n1 949\n949 1\n1 950\n950 1\n1 951\n951 1\n1 952\n952 1\n1 953\n953 1\n1 954\n954 1\n1 955\n955 1\n1 956\n956 1\n1 957\n957 1\n1 958\n958 1\n1 959\n959 1\n1 960\n960 1\n1 961\n961 1\n1 962\n962 1\n1 963\n963 1\n1 964\n964 1\n1 965\n965 1\n1 966\n966 1\n1 967\n967 1\n1 968\n968 1\n1 969\n969 1\n1 970\n970 1\n1 971\n971 1\n1 972\n972 1\n1 973\n973 1\n1 974\n974 1\n1 975\n975 1\n1 976\n976 1\n1 977\n977 1\n1 978\n978 1\n1 979\n979 1\n1 980\n980 1\n1 981\n981 1\n1 982\n982 1\n1 983\n983 1\n1 984\n984 1\n1 985\n985 1\n1 986\n986 1\n1 987\n987 1\n1 988\n988 1\n1 989\n989 1\n1 990\n990 1\n1 991\n991 1\n1 992\n992 1\n1 993\n993 1\n1 994\n994 1\n1 995\n995 1\n1 996\n996 1\n1 997\n997 1\n1 998\n998 1\n1 999\n999 1\n1 1000\n1000 1\n1 1001\n1001 1\n1 1002\n1002 1\n1 1003\n1003 1\n1 1004\n1004 1\n1 1005\n1005 1\n1 1006\n1006 1\n1 1007\n1007 1\n1 1008\n1008 1\n1 1009\n1009 1\n1 1010\n1010 1\n1 1011\n1011 1\n1 1012\n1012 1\n1 1013\n1013 1\n1 1014\n1014 1\n1 1015\n1015 1\n1 1016\n1016 1\n1 1017\n1017 1\n1 1018\n1018 1\n1 1019\n1019 1\n1 1020\n1020 1\n1 1021\n1021 1\n1 1022\n1022 1\n1 1023\n1023 1\n1 1024\n1024 1\n1 1025\n1025 1\n1 1026\n1026 1\n1 1027\n1027 1\n1 1028\n1028 1\n1 1029\n1029 1\n1 1030\n1030 1\n1 1031\n1031 1\n1 1032\n1032 1\n1 1033\n1033 1\n1 1034\n1034 1\n1 1035\n1035 1\n1 1036\n1036 1\n1 1037\n1037 1\n1 1038\n1038 1\n1 1039\n1039 1\n1 1040\n1040 1\n1 1041\n1041 1\n1 1042\n1042 1\n1 1043\n1043 1\n1 1044\n1044 1\n1 1045\n1045 1\n1 1046\n1046 1\n1 1047\n1047 1\n1 1048\n1048 1\n1 1049\n1049 1\n1 1050\n1050 1\n1 1051\n1051 1\n1 1052\n1052 1\n1 1053\n1053 1\n1 1054\n1054 1\n1 1055\n1055 1\n1 1056\n1056 1\n1 1057\n1057 1\n1 1058\n1058 1\n1 1059\n1059 1\n1 1060\n1060 1\n1 1061\n1061 1\n1 1062\n1062 1\n1 1063\n1063 1\n1 1064\n1064 1\n1 1065\n1065 1\n1 1066\n1066 1\n1 1067\n1067 1\n1 1068\n1068 1\n1 1069\n1069 1\n1 1070\n1070 1\n1 1071\n1071 1\n1 1072\n1072 1\n1 1073\n1073 1\n1 1074\n1074 1\n1 1075\n1075 1\n1 1076\n1076 1\n1 1077\n1077 1\n1 1078\n1078 1\n1 1079\n1079 1\n1 1080\n1080 1\n1 1081\n1081 1\n1 1082\n1082 1\n1 1083\n1083 1\n1 1084\n1084 1\n1 1085\n1085 1\n1 1086\n1086 1\n1 1087\n1087 1\n1 1088\n1088 1\n1 1089\n1089 1\n1 1090\n1090 1\n1 1091\n1091 1\n1 1092\n1092 1\n1 1093\n1093 1\n1 1094\n1094 1\n1 1095\n1095 1\n1 1096\n1096 1\n1 1097\n1097 1\n1 1098\n1098 1\n1 1099\n1099 1\n1 1100\n1100 1\n1 1101\n1101 1\n1 1102\n1102 1\n1 1103\n1103 1\n1 1104\n1104 1\n1 1105\n1105 1\n1 1106\n1106 1\n1 1107\n1107 1\n1 1108\n1108 1\n1 1109\n1109 1\n1 1110\n1110 1\n1 1111\n1111 1\n1 1112\n1112 1\n1 1113\n1113 1\n1 1114\n1114 1\n1 1115\n1115 1\n1 1116\n1116 1\n1 1117\n1117 1\n1 1118\n1118 1\n1 1119\n1119 1\n1 1120\n1120 1\n1 1121\n1121 1\n1 1122\n1122 1\n1 1123\n1123 1\n1 1124\n1124 1\n1 1125\n1125 1\n1 1126\n1126 1\n1 1127\n1127 1\n1 1128\n1128 1\n1 1129\n1129 1\n1 1130\n1130 1\n1 1131\n1131 1\n1 1132\n1132 1\n1 1133\n1133 1\n1 1134\n1134 1\n1 1135\n1135 1\n1 1136\n1136 1\n1 1137\n1137 1\n1 1138\n1138 1\n1 1139\n1139 1\n1 1140\n1140 1\n1 1141\n1141 1\n1 1142\n1142 1\n1 1143\n1143 1\n1 1144\n1144 1\n1 1145\n1145 1\n1 1146\n1146 1\n1 1147\n1147 1\n1 1148\n1148 1\n1 1149\n1149 1\n1 1150\n1150 1\n1 1151\n1151 1\n1 1152\n1152 1\n1 1153\n1153 1\n1 1154\n1154 1\n1 1155\n1155 1\n1 1156\n1156 1\n1 1157\n1157 1\n1 1158\n1158 1\n1 1159\n1159 1\n1 1160\n1160 1\n1 1161\n1161 1\n1 1162\n1162 1\n1 1163\n1163 1\n1 1164\n1164 1\n1 1165\n1165 1\n1 1166\n1166 1\n1 1167\n1167 1\n1 1168\n1168 1\n1 1169\n1169 1\n1 1170\n1170 1\n1 1171\n1171 1\n1 1172\n1172 1\n1 1173\n1173 1\n1 1174\n1174 1\n1 1175\n1175 1\n1 1176\n1176 1\n1 1177\n1177 1\n1 1178\n1178 1\n1 1179\n1179 1\n1 1180\n1180 1\n1 1181\n1181 1\n1 1182\n1182 1\n1 1183\n1183 1\n1 1184\n1184 1\n1 1185\n1185 1\n1 1186\n1186 1\n1 1187\n1187 1\n1 1188\n1188 1\n1 1189\n1189 1\n1 1190\n1190 1\n1 1191\n1191 1\n1 1192\n1192 1\n1 1193\n1193 1\n1 1194\n1194 1\n1 1195\n1195 1\n1 1196\n1196 1\n1 1197\n1197 1\n1 1198\n1198 1\n1 1199\n1199 1\n1 1200\n1200 1\n1 1201\n1201 1\n1 1202\n1202 1\n1 1203\n1203 1\n1 1204\n1204 1\n1 1205\n1205 1\n1 1206\n1206 1\n1 1207\n1207 1\n1 1208\n1208 1\n1 1209\n1209 1\n1 1210\n1210 1\n1 1211\n1211 1\n1 1212\n1212 1\n1 1213\n1213 1\n1 1214\n1214 1\n1 1215\n1215 1\n1 1216\n1216 1\n1 1217\n1217 1\n1 1218\n1218 1\n1 1219\n1219 1\n1 1220\n1220 1\n1 1221\n1221 1\n1 1222\n1222 1\n1 1223\n1223 1\n1 1224\n1224 1\n1 1225\n1225 1\n1 1226\n1226 1\n1 1227\n1227 1\n1 1228\n1228 1\n1 1229\n1229 1\n1 1230\n1230 1\n1 1231\n1231 1\n1 1232\n1232 1\n1 1233\n1233 1\n1 1234\n1234 1\n1 1235\n1235 1\n1 1236\n1236 1\n1 1237\n1237 1\n1 1238\n1238 1\n1 1239\n1239 1\n1 1240\n1240 1\n1 1241\n1241 1\n1 1242\n1242 1\n1 1243\n1243 1\n1 1244\n1244 1\n1 1245\n1245 1\n1 1246\n1246 1\n1 1247\n1247 1\n1 1248\n1248 1\n1 1249\n1249 1\n1 1250\n1250 1\n1 1251\n1251 1\n1 1252\n1252 1\n1 1253\n1253 1\n1 1254\n1254 1\n1 1255\n1255 1\n1 1256\n1256 1\n1 1257\n1257 1\n1 1258\n1258 1\n1 1259\n1259 1\n1 1260\n1260 1\n1 1261\n1261 1\n1 1262\n1262 1\n1 1263\n1263 1\n1 1264\n1264 1\n1 1265\n1265 1\n1 1266\n1266 1\n1 1267\n1267 1\n1 1268\n1268 1\n1 1269\n1269 1\n1 1270\n1270 1\n1 1271\n1271 1\n1 1272\n1272 1\n1 1273\n1273 1\n1 1274\n1274 1\n1 1275\n1275 1\n1 1276\n1276 1\n1 1277\n1277 1\n1 1278\n1278 1\n1 1279\n1279 1\n1 1280\n1280 1\n1 1281\n1281 1\n1 1282\n1282 1\n1 1283\n1283 1\n1 1284\n1284 1\n1 1285\n1285 1\n1 1286\n1286 1\n1 1287\n1287 1\n1 1288\n1288 1\n1 1289\n1289 1\n1 1290\n1290 1\n1 1291\n1291 1\n1 1292\n1292 1\n1 1293\n1293 1\n1 1294\n1294 1\n1 1295\n1295 1\n1 1296\n1296 1\n1 1297\n1297 1\n1 1298\n1298 1\n1 1299\n1299 1\n1 1300\n1300 1\n1 1301\n1301 1\n1 1302\n1302 1\n1 1303\n1303 1\n1 1304\n1304 1\n1 1305\n1305 1\n1 1306\n1306 1\n1 1307\n1307 1\n1 1308\n1308 1\n1 1309\n1309 1\n1 1310\n1310 1\n1 1311\n1311 1\n1 1312\n1312 1\n1 1313\n1313 1\n1 1314\n1314 1\n1 1315\n1315 1\n1 1316\n1316 1\n1 1317\n1317 1\n1 1318\n1318 1\n1 1319\n1319 1\n1 1320\n1320 1\n1 1321\n1321 1\n1 1322\n1322 1\n1 1323\n1323 1\n1 1324\n1324 1\n1 1325\n1325 1\n1 1326\n1326 1\n1 1327\n1327 1\n1 1328\n1328 1\n1 1329\n1329 1\n1 1330\n1330 1\n1 1331\n1331 1\n1 1332\n1332 1\n1 1333\n1333 1\n1 1334\n1334 1\n1 1335\n1335 1\n1 1336\n1336 1\n1 1337\n1337 1\n1 1338\n1338 1\n1 1339\n1339 1\n1 1340\n1340 1\n1 1341\n1341 1\n1 1342\n1342 1\n1 1343\n1343 1\n1 1344\n1344 1\n1 1345\n1345 1\n1 1346\n1346 1\n1 1347\n1347 1\n1 1348\n1348 1\n1 1349\n1349 1\n1 1350\n1350 1\n1 1351\n1351 1\n1 1352\n1352 1\n1 1353\n1353 1\n1 1354\n1354 1\n1 1355\n1355 1\n1 1356\n1356 1\n1 1357\n1357 1\n1 1358\n1358 1\n1 1359\n1359 1\n1 1360\n1360 1\n1 1361\n1361 1\n1 1362\n1362 1\n1 1363\n1363 1\n1 1364\n1364 1\n1 1365\n1365 1\n1 1366\n1366 1\n1 1367\n1367 1\n1 1368\n1368 1\n1 1369\n1369 1\n1 1370\n1370 1\n1 1371\n1371 1\n1 1372\n1372 1\n1 1373\n1373 1\n1 1374\n1374 1\n1 1375\n1375 1\n1 1376\n1376 1\n1 1377\n1377 1\n1 1378\n1378 1\n1 1379\n1379 1\n1 1380\n1380 1\n1 1381\n1381 1\n1 1382\n1382 1\n1 1383\n1383 1\n1 1384\n1384 1\n1 1385\n1385 1\n1 1386\n1386 1\n1 1387\n1387 1\n1 1388\n1388 1\n1 1389\n1389 1\n1 1390\n1390 1\n1 1391\n1391 1\n1 1392\n1392 1\n1 1393\n1393 1\n1 1394\n1394 1\n1 1395\n1395 1\n1 1396\n1396 1\n1 1397\n1397 1\n1 1398\n1398 1\n1 1399\n1399 1\n1 1400\n1400 1\n1 1401\n1401 1\n1 1402\n1402 1\n1 1403\n1403 1\n1 1404\n1404 1\n1 1405\n1405 1\n1 1406\n1406 1\n1 1407\n1407 1\n1 1408\n1408 1\n1 1409\n1409 1\n1 1410\n1410 1\n1 1411\n1411 1\n1 1412\n1412 1\n1 1413\n1413 1\n1 1414\n1414 1\n1 1415\n1415 1\n1 1416\n1416 1\n1 1417\n1417 1\n1 1418\n1418 1\n1 1419\n1419 1\n1 1420\n1420 1\n1 1421\n1421 1\n1 1422\n1422 1\n1 1423\n1423 1\n1 1424\n1424 1\n1 1425\n1425 1\n1 1426\n1426 1\n1 1427\n1427 1\n1 1428\n1428 1\n1 1429\n1429 1\n1 1430\n1430 1\n1 1431\n1431 1\n1 1432\n1432 1\n1 1433\n1433 1\n1 1434\n1434 1\n1 1435\n1435 1\n1 1436\n1436 1\n1 1437\n1437 1\n1 1438\n1438 1\n1 1439\n1439 1\n1 1440\n1440 1\n1 1441\n1441 1\n1 1442\n1442 1\n1 1443\n1443 1\n1 1444\n1444 1\n1 1445\n1445 1\n1 1446\n1446 1\n1 1447\n1447 1\n1 1448\n1448 1\n1 1449\n1449 1\n1 1450\n1450 1\n1 1451\n1451 1\n1 1452\n1452 1\n1 1453\n1453 1\n1 1454\n1454 1\n1 1455\n1455 1\n1 1456\n1456 1\n1 1457\n1457 1\n1 1458\n1458 1\n1 1459\n1459 1\n1 1460\n1460 1\n1 1461\n1461 1\n1 1462\n1462 1\n1 1463\n1463 1\n1 1464\n1464 1\n1 1465\n1465 1\n1 1466\n1466 1\n1 1467\n1467 1\n1 1468\n1468 1\n1 1469\n1469 1\n1 1470\n1470 1\n1 1471\n1471 1\n1 1472\n1472 1\n1 1473\n1473 1\n1 1474\n1474 1\n1 1475\n1475 1\n1 1476\n1476 1\n1 1477\n1477 1\n1 1478\n1478 1\n1 1479\n1479 1\n1 1480\n1480 1\n1 1481\n1481 1\n1 1482\n1482 1\n1 1483\n1483 1\n1 1484\n1484 1\n1 1485\n1485 1\n1 1486\n1486 1\n1 1487\n1487 1\n1 1488\n1488 1\n1 1489\n1489 1\n1 1490\n1490 1\n1 1491\n1491 1\n1 1492\n1492 1\n1 1493\n1493 1\n1 1494\n1494 1\n1 1495\n1495 1\n1 1496\n1496 1\n1 1497\n1497 1\n1 1498\n1498 1\n1 1499\n1499 1\n1 1500\n1500 1\n1 1501\n1501 1\n1 1502\n1502 1\n1 1503\n1503 1\n1 1504\n1504 1\n1 1505\n1505 1\n1 1506\n1506 1\n1 1507\n1507 1\n1 1508\n1508 1\n1 1509\n1509 1\n1 1510\n1510 1\n1 1511\n1511 1\n1 1512\n1512 1\n1 1513\n1513 1\n1 1514\n1514 1\n1 1515\n1515 1\n1 1516\n1516 1\n1 1517\n1517 1\n1 1518\n1518 1\n1 1519\n1519 1\n1 1520\n1520 1\n1 1521\n1521 1\n1 1522\n1522 1\n1 1523\n1523 1\n1 1524\n1524 1\n1 1525\n1525 1\n1 1526\n1526 1\n1 1527\n1527 1\n1 1528\n1528 1\n1 1529\n1529 1\n1 1530\n1530 1\n1 1531\n1531 1\n1 1532\n1532 1\n1 1533\n1533 1\n1 1534\n1534 1\n1 1535\n1535 1\n1 1536\n1536 1\n1 1537\n1537 1\n1 1538\n1538 1\n1 1539\n1539 1\n1 1540\n1540 1\n1 1541\n1541 1\n1 1542\n1542 1\n1 1543\n1543 1\n1 1544\n1544 1\n1 1545\n1545 1\n1 1546\n1546 1\n1 1547\n1547 1\n1 1548\n1548 1\n1 1549\n1549 1\n1 1550\n1550 1\n1 1551\n1551 1\n1 1552\n1552 1\n1 1553\n1553 1\n1 1554\n1554 1\n1 1555\n1555 1\n1 1556\n1556 1\n1 1557\n1557 1\n1 1558\n1558 1\n1 1559\n1559 1\n1 1560\n1560 1\n1 1561\n1561 1\n1 1562\n1562 1\n1 1563\n1563 1\n1 1564\n1564 1\n1 1565\n1565 1\n1 1566\n1566 1\n1 1567\n1567 1\n1 1568\n1568 1\n1 1569\n1569 1\n1 1570\n1570 1\n1 1571\n1571 1\n1 1572\n1572 1\n1 1573\n1573 1\n1 1574\n1574 1\n1 1575\n1575 1\n1 1576\n1576 1\n1 1577\n1577 1\n1 1578\n1578 1\n1 1579\n1579 1\n1 1580\n1580 1\n1 1581\n1581 1\n1 1582\n1582 1\n1 1583\n1583 1\n1 1584\n1584 1\n1 1585\n1585 1\n1 1586\n1586 1\n1 1587\n1587 1\n1 1588\n1588 1\n1 1589\n1589 1\n1 1590\n1590 1\n1 1591\n1591 1\n1 1592\n1592 1\n1 1593\n1593 1\n1 1594\n1594 1\n1 1595\n1595 1\n1 1596\n1596 1\n1 1597\n1597 1\n1 1598\n1598 1\n1 1599\n1599 1\n1 1600\n1600 1\n1 1601\n1601 1\n1 1602\n1602 1\n1 1603\n1603 1\n1 1604\n1604 1\n1 1605\n1605 1\n1 1606\n1606 1\n1 1607\n1607 1\n1 1608\n1608 1\n1 1609\n1609 1\n1 1610\n1610 1\n1 1611\n1611 1\n1 1612\n1612 1\n1 1613\n1613 1\n1 1614\n1614 1\n1 1615\n1615 1\n1 1616\n1616 1\n1 1617\n1617 1\n1 1618\n1618 1\n1 1619\n1619 1\n1 1620\n1620 1\n1 1621\n1621 1\n1 1622\n1622 1\n1 1623\n1623 1\n1 1624\n1624 1\n1 1625\n1625 1\n1 1626\n1626 1\n1 1627\n1627 1\n1 1628\n1628 1\n1 1629\n1629 1\n1 1630\n1630 1\n1 1631\n1631 1\n1 1632\n1632 1\n1 1633\n1633 1\n1 1634\n1634 1\n1 1635\n1635 1\n1 1636\n1636 1\n1 1637\n1637 1\n1 1638\n1638 1\n1 1639\n1639 1\n1 1640\n1640 1\n1 1641\n1641 1\n1 1642\n1642 1\n1 1643\n1643 1\n1 1644\n1644 1\n1 1645\n1645 1\n1 1646\n1646 1\n1 1647\n1647 1\n1 1648\n1648 1\n1 1649\n1649 1\n1 1650\n1650 1\n1 1651\n1651 1\n1 1652\n1652 1\n1 1653\n1653 1\n1 1654\n1654 1\n1 1655\n1655 1\n1 1656\n1656 1\n1 1657\n1657 1\n1 1658\n1658 1\n1 1659\n1659 1\n1 1660\n1660 1\n1 1661\n1661 1\n1 1662\n1662 1\n1 1663\n1663 1\n1 1664\n1664 1\n1 1665\n1665 1\n1 1666\n1666 1\n1 1667\n1667 1\n1 1668\n1668 1\n1 1669\n1669 1\n1 1670\n1670 1\n1 1671\n1671 1\n1 1672\n1672 1\n1 1673\n1673 1\n1 1674\n1674 1\n1 1675\n1675 1\n1 1676\n1676 1\n1 1677\n1677 1\n1 1678\n1678 1\n1 1679\n1679 1\n1 1680\n1680 1\n1 1681\n1681 1\n1 1682\n1682 1\n1 1683\n1683 1\n1 1684\n1684 1\n1 1685\n1685 1\n1 1686\n1686 1\n1 1687\n1687 1\n1 1688\n1688 1\n1 1689\n1689 1\n1 1690\n1690 1\n1 1691\n1691 1\n1 1692\n1692 1\n1 1693\n1693 1\n1 1694\n1694 1\n1 1695\n1695 1\n1 1696\n1696 1\n1 1697\n1697 1\n1 1698\n1698 1\n1 1699\n1699 1\n1 1700\n1700 1\n1 1701\n1701 1\n1 1702\n1702 1\n1 1703\n1703 1\n1 1704\n1704 1\n1 1705\n1705 1\n1 1706\n1706 1\n1 1707\n1707 1\n1 1708\n1708 1\n1 1709\n1709 1\n1 1710\n1710 1\n1 1711\n1711 1\n1 1712\n1712 1\n1 1713\n1713 1\n1 1714\n1714 1\n1 1715\n1715 1\n1 1716\n1716 1\n1 1717\n1717 1\n1 1718\n1718 1\n1 1719\n1719 1\n1 1720\n1720 1\n1 1721\n1721 1\n1 1722\n1722 1\n1 1723\n1723 1\n1 1724\n1724 1\n1 1725\n1725 1\n1 1726\n1726 1\n1 1727\n1727 1\n1 1728\n1728 1\n1 1729\n1729 1\n1 1730\n1730 1\n1 1731\n1731 1\n1 1732\n1732 1\n1 1733\n1733 1\n1 1734\n1734 1\n1 1735\n1735 1\n1 1736\n1736 1\n1 1737\n1737 1\n1 1738\n1738 1\n1 1739\n1739 1\n1 1740\n1740 1\n1 1741\n1741 1\n1 1742\n1742 1\n1 1743\n1743 1\n1 1744\n1744 1\n1 1745\n1745 1\n1 1746\n1746 1\n1 1747\n1747 1\n1 1748\n1748 1\n1 1749\n1749 1\n1 1750\n1750 1\n1 1751\n1751 1\n1 1752\n1752 1\n1 1753\n1753 1\n1 1754\n1754 1\n1 1755\n1755 1\n1 1756\n1756 1\n1 1757\n1757 1\n1 1758\n1758 1\n1 1759\n1759 1\n1 1760\n1760 1\n1 1761\n1761 1\n1 1762\n1762 1\n1 1763\n1763 1\n1 1764\n1764 1\n1 1765\n1765 1\n1 1766\n1766 1\n1 1767\n1767 1\n1 1768\n1768 1\n1 1769\n1769 1\n1 1770\n1770 1\n1 1771\n1771 1\n1 1772\n1772 1\n1 1773\n1773 1\n1 1774\n1774 1\n1 1775\n1775 1\n1 1776\n1776 1\n1 1777\n1777 1\n1 1778\n1778 1\n1 1779\n1779 1\n1 1780\n1780 1\n1 1781\n1781 1\n1 1782\n1782 1\n1 1783\n1783 1\n1 1784\n1784 1\n1 1785\n1785 1\n1 1786\n1786 1\n1 1787\n1787 1\n1 1788\n1788 1\n1 1789\n1789 1\n1 1790\n1790 1\n1 1791\n1791 1\n1 1792\n1792 1\n1 1793\n1793 1\n1 1794\n1794 1\n1 1795\n1795 1\n1 1796\n1796 1\n1 1797\n1797 1\n1 1798\n1798 1\n1 1799\n1799 1\n1 1800\n1800 1\n1 1801\n1801 1\n1 1802\n1802 1\n1 1803\n1803 1\n1 1804\n1804 1\n1 1805\n1805 1\n1 1806\n1806 1\n1 1807\n1807 1\n1 1808\n1808 1\n1 1809\n1809 1\n1 1810\n1810 1\n1 1811\n1811 1\n1 1812\n1812 1\n1 1813\n1813 1\n1 1814\n1814 1\n1 1815\n1815 1\n1 1816\n1816 1\n1 1817\n1817 1\n1 1818\n1818 1\n1 1819\n1819 1\n1 1820\n1820 1\n1 1821\n1821 1\n1 1822\n1822 1\n1 1823\n1823 1\n1 1824\n1824 1\n1 1825\n1825 1\n1 1826\n1826 1\n1 1827\n1827 1\n1 1828\n1828 1\n1 1829\n1829 1\n1 1830\n1830 1\n1 1831\n1831 1\n1 1832\n1832 1\n1 1833\n1833 1\n1 1834\n1834 1\n1 1835\n1835 1\n1 1836\n1836 1\n1 1837\n1837 1\n1 1838\n1838 1\n1 1839\n1839 1\n1 1840\n1840 1\n1 1841\n1841 1\n1 1842\n1842 1\n1 1843\n1843 1\n1 1844\n1844 1\n1 1845\n1845 1\n1 1846\n1846 1\n1 1847\n1847 1\n1 1848\n1848 1\n1 1849\n1849 1\n1 1850\n1850 1\n1 1851\n1851 1\n1 1852\n1852 1\n1 1853\n1853 1\n1 1854\n1854 1\n1 1855\n1855 1\n1 1856\n1856 1\n1 1857\n1857 1\n1 1858\n1858 1\n1 1859\n1859 1\n1 1860\n1860 1\n1 1861\n1861 1\n1 1862\n1862 1\n1 1863\n1863 1\n1 1864\n1864 1\n1 1865\n1865 1\n1 1866\n1866 1\n1 1867\n1867 1\n1 1868\n1868 1\n1 1869\n1869 1\n1 1870\n1870 1\n1 1871\n1871 1\n1 1872\n1872 1\n1 1873\n1873 1\n1 1874\n1874 1\n1 1875\n1875 1\n1 1876\n1876 1\n1 1877\n1877 1\n1 1878\n1878 1\n1 1879\n1879 1\n1 1880\n1880 1\n1 1881\n1881 1\n1 1882\n1882 1\n1 1883\n1883 1\n1 1884\n1884 1\n1 1885\n1885 1\n1 1886\n1886 1\n1 1887\n1887 1\n1 1888\n1888 1\n1 1889\n1889 1\n1 1890\n1890 1\n1 1891\n1891 1\n1 1892\n1892 1\n1 1893\n1893 1\n1 1894\n1894 1\n1 1895\n1895 1\n1 1896\n1896 1\n1 1897\n1897 1\n1 1898\n1898 1\n1 1899\n1899 1\n1 1900\n1900 1\n1 1901\n1901 1\n1 1902\n1902 1\n1 1903\n1903 1\n1 1904\n1904 1\n1 1905\n1905 1\n1 1906\n1906 1\n1 1907\n1907 1\n1 1908\n1908 1\n1 1909\n1909 1\n1 1910\n1910 1\n1 1911\n1911 1\n1 1912\n1912 1\n1 1913\n1913 1\n1 1914\n1914 1\n1 1915\n1915 1\n1 1916\n1916 1\n1 1917\n1917 1\n1 1918\n1918 1\n1 1919\n1919 1\n1 1920\n1920 1\n1 1921\n1921 1\n1 1922\n1922 1\n1 1923\n1923 1\n1 1924\n1924 1\n1 1925\n1925 1\n1 1926\n1926 1\n1 1927\n1927 1\n1 1928\n1928 1\n1 1929\n1929 1\n1 1930\n1930 1\n1 1931\n1931 1\n1 1932\n1932 1\n1 1933\n1933 1\n1 1934\n1934 1\n1 1935\n1935 1\n1 1936\n1936 1\n1 1937\n1937 1\n1 1938\n1938 1\n1 1939\n1939 1\n1 1940\n1940 1\n1 1941\n1941 1\n1 1942\n1942 1\n1 1943\n1943 1\n1 1944\n1944 1\n1 1945\n1945 1\n1 1946\n1946 1\n1 1947\n1947 1\n1 1948\n1948 1\n1 1949\n1949 1\n1 1950\n1950 1\n1 1951\n1951 1\n1 1952\n1952 1\n1 1953\n1953 1\n1 1954\n1954 1\n1 1955\n1955 1\n1 1956\n1956 1\n1 1957\n1957 1\n1 1958\n1958 1\n1 1959\n1959 1\n1 1960\n1960 1\n1 1961\n1961 1\n1 1962\n1962 1\n1 1963\n1963 1\n1 1964\n1964 1\n1 1965\n1965 1\n1 1966\n1966 1\n1 1967\n1967 1\n1 1968\n1968 1\n1 1969\n1969 1\n1 1970\n1970 1\n1 1971\n1971 1\n1 1972\n1972 1\n1 1973\n1973 1\n1 1974\n1974 1\n1 1975\n1975 1\n1 1976\n1976 1\n1 1977\n1977 1\n1 1978\n1978 1\n1 1979\n1979 1\n1 1980\n1980 1\n1 1981\n1981 1\n1 1982\n1982 1\n1 1983\n1983 1\n1 1984\n1984 1\n1 1985\n1985 1\n1 1986\n1986 1\n1 1987\n1987 1\n1 1988\n1988 1\n1 1989\n1989 1\n1 1990\n1990 1\n1 1991\n1991 1\n1 1992\n1992 1\n1 1993\n1993 1\n1 1994\n1994 1\n1 1995\n1995 1\n1 1996\n1996 1\n1 1997\n1997 1\n1 1998\n1998 1\n1 1999\n1999 1\n1 2000\n2000 1\n1 2001\n2001 1\n1 2002\n2002 1\n1 2003\n2003 1\n1 2004\n2004 1\n1 2005\n2005 1\n1 2006\n2006 1\n1 2007\n2007 1\n1 2008\n2008 1\n1 2009\n2009 1\n1 2010\n2010 1\n1 2011\n2011 1\n1 2012\n2012 1\n1 2013\n2013 1\n1 2014\n2014 1\n1 2015\n2015 1\n1 2016\n2016 1\n1 2017\n2017 1\n1 2018\n2018 1\n1 2019\n2019 1\n1 2020\n2020 1\n1 2021\n2021 1\n1 2022\n2022 1\n1 2023\n2023 1\n1 2024\n2024 1\n1 2025\n2025 1\n1 2026\n2026 1\n1 2027\n2027 1\n1 2028\n2028 1\n1 2029\n2029 1\n1 2030\n2030 1\n1 2031\n2031 1\n1 2032\n2032 1\n1 2033\n2033 1\n1 2034\n2034 1\n1 2035\n2035 1\n1 2036\n2036 1\n1 2037\n2037 1\n1 2038\n2038 1\n1 2039\n2039 1\n1 2040\n2040 1\n1 2041\n2041 1\n1 2042\n2042 1\n1 2043\n2043 1\n1 2044\n2044 1\n1 2045\n2045 1\n1 2046\n2046 1\n1 2047\n2047 1\n1 2048\n2048 1\n1 2049\n2049 1\n1 2050\n2050 1\n1 2051\n2051 1\n1 2052\n2052 1\n1 2053\n2053 1\n1 2054\n2054 1\n1 2055\n2055 1\n1 2056\n2056 1\n1 2057\n2057 1\n1 2058\n2058 1\n1 2059\n2059 1\n1 2060\n2060 1\n1 2061\n2061 1\n1 2062\n2062 1\n1 2063\n2063 1\n1 2064\n2064 1\n1 2065\n2065 1\n1 2066\n2066 1\n1 2067\n2067 1\n1 2068\n2068 1\n1 2069\n2069 1\n1 2070\n2070 1\n1 2071\n2071 1\n1 2072\n2072 1\n1 2073\n2073 1\n1 2074\n2074 1\n1 2075\n2075 1\n1 2076\n2076 1\n1 2077\n2077 1\n1 2078\n2078 1\n1 2079\n2079 1\n1 2080\n2080 1\n1 2081\n2081 1\n1 2082\n2082 1\n1 2083\n2083 1\n1 2084\n2084 1\n1 2085\n2085 1\n1 2086\n2086 1\n1 2087\n2087 1\n1 2088\n2088 1\n1 2089\n2089 1\n1 2090\n2090 1\n1 2091\n2091 1\n1 2092\n2092 1\n1 2093\n2093 1\n1 2094\n2094 1\n1 2095\n2095 1\n1 2096\n2096 1\n1 2097\n2097 1\n1 2098\n2098 1\n1 2099\n2099 1\n1 2100\n2100 1\n1 2101\n2101 1\n1 2102\n2102 1\n1 2103\n2103 1\n1 2104\n2104 1\n1 2105\n2105 1\n1 2106\n2106 1\n1 2107\n2107 1\n1 2108\n2108 1\n1 2109\n2109 1\n1 2110\n2110 1\n1 2111\n2111 1\n1 2112\n2112 1\n1 2113\n2113 1\n1 2114\n2114 1\n1 2115\n2115 1\n1 2116\n2116 1\n1 2117\n2117 1\n1 2118\n2118 1\n1 2119\n2119 1\n1 2120\n2120 1\n1 2121\n2121 1\n1 2122\n2122 1\n1 2123\n2123 1\n1 2124\n2124 1\n1 2125\n2125 1\n1 2126\n2126 1\n1 2127\n2127 1\n1 2128\n2128 1\n1 2129\n2129 1\n1 2130\n2130 1\n1 2131\n2131 1\n1 2132\n2132 1\n1 2133\n2133 1\n1 2134\n2134 1\n1 2135\n2135 1\n1 2136\n2136 1\n1 2137\n2137 1\n1 2138\n2138 1\n1 2139\n2139 1\n1 2140\n2140 1\n1 2141\n2141 1\n1 2142\n2142 1\n1 2143\n2143 1\n1 2144\n2144 1\n1 2145\n2145 1\n1 2146\n2146 1\n1 2147\n2147 1\n1 2148\n2148 1\n1 2149\n2149 1\n1 2150\n2150 1\n1 2151\n2151 1\n1 2152\n2152 1\n1 2153\n2153 1\n1 2154\n2154 1\n1 2155\n2155 1\n1 2156\n2156 1\n1 2157\n2157 1\n1 2158\n2158 1\n1 2159\n2159 1\n1 2160\n2160 1\n1 2161\n2161 1\n1 2162\n2162 1\n1 2163\n2163 1\n1 2164\n2164 1\n1 2165\n2165 1\n1 2166\n2166 1\n1 2167\n2167 1\n1 2168\n2168 1\n1 2169\n2169 1\n1 2170\n2170 1\n1 2171\n2171 1\n1 2172\n2172 1\n1 2173\n2173 1\n1 2174\n2174 1\n1 2175\n2175 1\n1 2176\n2176 1\n1 2177\n2177 1\n1 2178\n2178 1\n1 2179\n2179 1\n1 2180\n2180 1\n1 2181\n2181 1\n1 2182\n2182 1\n1 2183\n2183 1\n1 2184\n2184 1\n1 2185\n2185 1\n1 2186\n2186 1\n1 2187\n2187 1\n1 2188\n2188 1\n1 2189\n2189 1\n1 2190\n2190 1\n1 2191\n2191 1\n1 2192\n2192 1\n1 2193\n2193 1\n1 2194\n2194 1\n1 2195\n2195 1\n1 2196\n2196 1\n1 2197\n2197 1\n1 2198\n2198 1\n1 2199\n2199 1\n1 2200\n2200 1\n1 2201\n2201 1\n1 2202\n2202 1\n1 2203\n2203 1\n1 2204\n2204 1\n1 2205\n2205 1\n1 2206\n2206 1\n1 2207\n2207 1\n1 2208\n2208 1\n1 2209\n2209 1\n1 2210\n2210 1\n1 2211\n2211 1\n1 2212\n2212 1\n1 2213\n2213 1\n1 2214\n2214 1\n1 2215\n2215 1\n1 2216\n2216 1\n1 2217\n2217 1\n1 2218\n2218 1\n1 2219\n2219 1\n1 2220\n2220 1\n1 2221\n2221 1\n1 2222\n2222 1\n1 2223\n2223 1\n1 2224\n2224 1\n1 2225\n2225 1\n1 2226\n2226 1\n1 2227\n2227 1\n1 2228\n2228 1\n1 2229\n2229 1\n1 2230\n2230 1\n1 2231\n2231 1\n1 2232\n2232 1\n1 2233\n2233 1\n1 2234\n2234 1\n1 2235\n2235 1\n1 2236\n2236 1\n1 2237\n2237 1\n1 2238\n2238 1\n1 2239\n2239 1\n1 2240\n2240 1\n1 2241\n2241 1\n1 2242\n2242 1\n1 2243\n2243 1\n1 2244\n2244 1\n1 2245\n2245 1\n1 2246\n2246 1\n1 2247\n2247 1\n1 2248\n2248 1\n1 2249\n2249 1\n1 2250\n2250 1\n1 2251\n2251 1\n1 2252\n2252 1\n1 2253\n2253 1\n1 2254\n2254 1\n1 2255\n2255 1\n1 2256\n2256 1\n1 2257\n2257 1\n1 2258\n2258 1\n1 2259\n2259 1\n1 2260\n2260 1\n1 2261\n2261 1\n1 2262\n2262 1\n1 2263\n2263 1\n1 2264\n2264 1\n1 2265\n2265 1\n1 2266\n2266 1\n1 2267\n2267 1\n1 2268\n2268 1\n1 2269\n2269 1\n1 2270\n2270 1\n1 2271\n2271 1\n1 2272\n2272 1\n1 2273\n2273 1\n1 2274\n2274 1\n1 2275\n2275 1\n1 2276\n2276 1\n1 2277\n2277 1\n1 2278\n2278 1\n1 2279\n2279 1\n1 2280\n2280 1\n1 2281\n2281 1\n1 2282\n2282 1\n1 2283\n2283 1\n1 2284\n2284 1\n1 2285\n2285 1\n1 2286\n2286 1\n1 2287\n2287 1\n1 2288\n2288 1\n1 2289\n2289 1\n1 2290\n2290 1\n1 2291\n2291 1\n1 2292\n2292 1\n1 2293\n2293 1\n1 2294\n2294 1\n1 2295\n2295 1\n1 2296\n2296 1\n1 2297\n2297 1\n1 2298\n2298 1\n1 2299\n2299 1\n1 2300\n2300 1\n1 2301\n2301 1\n1 2302\n2302 1\n1 2303\n2303 1\n1 2304\n2304 1\n1 2305\n2305 1\n1 2306\n2306 1\n1 2307\n2307 1\n1 2308\n2308 1\n1 2309\n2309 1\n1 2310\n2310 1\n1 2311\n2311 1\n1 2312\n2312 1\n1 2313\n2313 1\n1 2314\n2314 1\n1 2315\n2315 1\n1 2316\n2316 1\n1 2317\n2317 1\n1 2318\n2318 1\n1 2319\n2319 1\n1 2320\n2320 1\n1 2321\n2321 1\n1 2322\n2322 1\n1 2323\n2323 1\n1 2324\n2324 1\n1 2325\n2325 1\n1 2326\n2326 1\n1 2327\n2327 1\n1 2328\n2328 1\n1 2329\n2329 1\n1 2330\n2330 1\n1 2331\n2331 1\n1 2332\n2332 1\n1 2333\n2333 1\n1 2334\n2334 1\n1 2335\n2335 1\n1 2336\n2336 1\n1 2337\n2337 1\n1 2338\n2338 1\n1 2339\n2339 1\n1 2340\n2340 1\n1 2341\n2341 1\n1 2342\n2342 1\n1 2343\n2343 1\n1 2344\n2344 1\n1 2345\n2345 1\n1 2346\n2346 1\n1 2347\n2347 1\n1 2348\n2348 1\n1 2349\n2349 1\n1 2350\n2350 1\n1 2351\n2351 1\n1 2352\n2352 1\n1 2353\n2353 1\n1 2354\n2354 1\n1 2355\n2355 1\n1 2356\n2356 1\n1 2357\n2357 1\n1 2358\n2358 1\n1 2359\n2359 1\n1 2360\n2360 1\n1 2361\n2361 1\n1 2362\n2362 1\n1 2363\n2363 1\n1 2364\n2364 1\n1 2365\n2365 1\n1 2366\n2366 1\n1 2367\n2367 1\n1 2368\n2368 1\n1 2369\n2369 1\n1 2370\n2370 1\n1 2371\n2371 1\n1 2372\n2372 1\n1 2373\n2373 1\n1 2374\n2374 1\n1 2375\n2375 1\n1 2376\n2376 1\n1 2377\n2377 1\n1 2378\n2378 1\n1 2379\n2379 1\n1 2380\n2380 1\n1 2381\n2381 1\n1 2382\n2382 1\n1 2383\n2383 1\n1 2384\n2384 1\n1 2385\n2385 1\n1 2386\n2386 1\n1 2387\n2387 1\n1 2388\n2388 1\n1 2389\n2389 1\n1 2390\n2390 1\n1 2391\n2391 1\n1 2392\n2392 1\n1 2393\n2393 1\n1 2394\n2394 1\n1 2395\n2395 1\n1 2396\n2396 1\n1 2397\n2397 1\n1 2398\n2398 1\n1 2399\n2399 1\n1 2400\n2400 1\n1 2401\n2401 1\n1 2402\n2402 1\n1 2403\n2403 1\n1 2404\n2404 1\n1 2405\n2405 1\n1 2406\n2406 1\n1 2407\n2407 1\n1 2408\n2408 1\n1 2409\n2409 1\n1 2410\n2410 1\n1 2411\n2411 1\n1 2412\n2412 1\n1 2413\n2413 1\n1 2414\n2414 1\n1 2415\n2415 1\n1 2416\n2416 1\n1 2417\n2417 1\n1 2418\n2418 1\n1 2419\n2419 1\n1 2420\n2420 1\n1 2421\n2421 1\n1 2422\n2422 1\n1 2423\n2423 1\n1 2424\n2424 1\n1 2425\n2425 1\n1 2426\n2426 1\n1 2427\n2427 1\n1 2428\n2428 1\n1 2429\n2429 1\n1 2430\n2430 1\n1 2431\n2431 1\n1 2432\n2432 1\n1 2433\n2433 1\n1 2434\n2434 1\n1 2435\n2435 1\n1 2436\n2436 1\n1 2437\n2437 1\n1 2438\n2438 1\n1 2439\n2439 1\n1 2440\n2440 1\n1 2441\n2441 1\n1 2442\n2442 1\n1 2443\n2443 1\n1 2444\n2444 1\n1 2445\n2445 1\n1 2446\n2446 1\n1 2447\n2447 1\n1 2448\n2448 1\n1 2449\n2449 1\n1 2450\n2450 1\n1 2451\n2451 1\n1 2452\n2452 1\n1 2453\n2453 1\n1 2454\n2454 1\n1 2455\n2455 1\n1 2456\n2456 1\n1 2457\n2457 1\n1 2458\n2458 1\n1 2459\n2459 1\n1 2460\n2460 1\n1 2461\n2461 1\n1 2462\n2462 1\n1 2463\n2463 1\n1 2464\n2464 1\n1 2465\n2465 1\n1 2466\n2466 1\n1 2467\n2467 1\n1 2468\n2468 1\n1 2469\n2469 1\n1 2470\n2470 1\n1 2471\n2471 1\n1 2472\n2472 1\n1 2473\n2473 1\n1 2474\n2474 1\n1 2475\n2475 1\n1 2476\n2476 1\n1 2477\n2477 1\n1 2478\n2478 1\n1 2479\n2479 1\n1 2480\n2480 1\n1 2481\n2481 1\n1 2482\n2482 1\n1 2483\n2483 1\n1 2484\n2484 1\n1 2485\n2485 1\n1 2486\n2486 1\n1 2487\n2487 1\n1 2488\n2488 1\n1 2489\n2489 1\n1 2490\n2490 1\n1 2491\n2491 1\n1 2492\n2492 1\n1 2493\n2493 1\n1 2494\n2494 1\n1 2495\n2495 1\n1 2496\n2496 1\n1 2497\n2497 1\n1 2498\n2498 1\n1 2499\n2499 1\n1 2500\n2500 1\n1 2501\n2501 1\n1 2502\n2502 1\n1 2503\n2503 1\n1 2504\n2504 1\n1 2505\n2505 1\n1 2506\n2506 1\n1 2507\n2507 1\n1 2508\n2508 1\n1 2509\n2509 1\n1 2510\n2510 1\n1 2511\n2511 1\n1 2512\n2512 1\n1 2513\n2513 1\n1 2514\n2514 1\n1 2515\n2515 1\n1 2516\n2516 1\n1 2517\n2517 1\n1 2518\n2518 1\n1 2519\n2519 1\n1 2520\n2520 1\n1 2521\n2521 1\n1 2522\n2522 1\n1 2523\n2523 1\n1 2524\n2524 1\n1 2525\n2525 1\n1 2526\n2526 1\n1 2527\n2527 1\n1 2528\n2528 1\n1 2529\n2529 1\n1 2530\n2530 1\n1 2531\n2531 1\n1 2532\n2532 1\n1 2533\n2533 1\n1 2534\n2534 1\n1 2535\n2535 1\n1 2536\n2536 1\n1 2537\n2537 1\n1 2538\n2538 1\n1 2539\n2539 1\n1 2540\n2540 1\n1 2541\n2541 1\n1 2542\n2542 1\n1 2543\n2543 1\n1 2544\n2544 1\n1 2545\n2545 1\n1 2546\n2546 1\n1 2547\n2547 1\n1 2548\n2548 1\n1 2549\n2549 1\n1 2550\n2550 1\n1 2551\n2551 1\n1 2552\n2552 1\n1 2553\n2553 1\n1 2554\n2554 1\n1 2555\n2555 1\n1 2556\n2556 1\n1 2557\n2557 1\n1 2558\n2558 1\n1 2559\n2559 1\n1 2560\n2560 1\n1 2561\n2561 1\n1 2562\n2562 1\n1 2563\n2563 1\n1 2564\n2564 1\n1 2565\n2565 1\n1 2566\n2566 1\n1 2567\n2567 1\n1 2568\n2568 1\n1 2569\n2569 1\n1 2570\n2570 1\n1 2571\n2571 1\n1 2572\n2572 1\n1 2573\n2573 1\n1 2574\n2574 1\n1 2575\n2575 1\n1 2576\n2576 1\n1 2577\n2577 1\n1 2578\n2578 1\n1 2579\n2579 1\n1 2580\n2580 1\n1 2581\n2581 1\n1 2582\n2582 1\n1 2583\n2583 1\n1 2584\n2584 1\n1 2585\n2585 1\n1 2586\n2586 1\n1 2587\n2587 1\n1 2588\n2588 1\n1 2589\n2589 1\n1 2590\n2590 1\n1 2591\n2591 1\n1 2592\n2592 1\n1 2593\n2593 1\n1 2594\n2594 1\n1 2595\n2595 1\n1 2596\n2596 1\n1 2597\n2597 1\n1 2598\n2598 1\n1 2599\n2599 1\n1 2600\n2600 1\n1 2601\n2601 1\n1 2602\n2602 1\n1 2603\n2603 1\n1 2604\n2604 1\n1 2605\n2605 1\n1 2606\n2606 1\n1 2607\n2607 1\n1 2608\n2608 1\n1 2609\n2609 1\n1 2610\n2610 1\n1 2611\n2611 1\n1 2612\n2612 1\n1 2613\n2613 1\n1 2614\n2614 1\n1 2615\n2615 1\n1 2616\n2616 1\n1 2617\n2617 1\n1 2618\n2618 1\n1 2619\n2619 1\n1 2620\n2620 1\n1 2621\n2621 1\n1 2622\n2622 1\n1 2623\n2623 1\n1 2624\n2624 1\n1 2625\n2625 1\n1 2626\n2626 1\n1 2627\n2627 1\n1 2628\n2628 1\n1 2629\n2629 1\n1 2630\n2630 1\n1 2631\n2631 1\n1 2632\n2632 1\n1 2633\n2633 1\n1 2634\n2634 1\n1 2635\n2635 1\n1 2636\n2636 1\n1 2637\n2637 1\n1 2638\n2638 1\n1 2639\n2639 1\n1 2640\n2640 1\n1 2641\n2641 1\n1 2642\n2642 1\n1 2643\n2643 1\n1 2644\n2644 1\n1 2645\n2645 1\n1 2646\n2646 1\n1 2647\n2647 1\n1 2648\n2648 1\n1 2649\n2649 1\n1 2650\n2650 1\n1 2651\n2651 1\n1 2652\n2652 1\n1 2653\n2653 1\n1 2654\n2654 1\n1 2655\n2655 1\n1 2656\n2656 1\n1 2657\n2657 1\n1 2658\n2658 1\n1 2659\n2659 1\n1 2660\n2660 1\n1 2661\n2661 1\n1 2662\n2662 1\n1 2663\n2663 1\n1 2664\n2664 1\n1 2665\n2665 1\n1 2666\n2666 1\n1 2667\n2667 1\n1 2668\n2668 1\n1 2669\n2669 1\n1 2670\n2670 1\n1 2671\n2671 1\n1 2672\n2672 1\n1 2673\n2673 1\n1 2674\n2674 1\n1 2675\n2675 1\n1 2676\n2676 1\n1 2677\n2677 1\n1 2678\n2678 1\n1 2679\n2679 1\n1 2680\n2680 1\n1 2681\n2681 1\n1 2682\n2682 1\n1 2683\n2683 1\n1 2684\n2684 1\n1 2685\n2685 1\n1 2686\n2686 1\n1 2687\n2687 1\n1 2688\n2688 1\n1 2689\n2689 1\n1 2690\n2690 1\n1 2691\n2691 1\n1 2692\n2692 1\n1 2693\n2693 1\n1 2694\n2694 1\n1 2695\n2695 1\n1 2696\n2696 1\n1 2697\n2697 1\n1 2698\n2698 1\n1 2699\n2699 1\n1 2700\n2700 1\n1 2701\n2701 1\n1 2702\n2702 1\n1 2703\n2703 1\n1 2704\n2704 1\n1 2705\n2705 1\n1 2706\n2706 1\n1 2707\n2707 1\n1 2708\n2708 1\n1 2709\n2709 1\n1 2710\n2710 1\n1 2711\n2711 1\n1 2712\n2712 1\n1 2713\n2713 1\n1 2714\n2714 1\n1 2715\n2715 1\n1 2716\n2716 1\n1 2717\n2717 1\n1 2718\n2718 1\n1 2719\n2719 1\n1 2720\n2720 1\n1 2721\n2721 1\n1 2722\n2722 1\n1 2723\n2723 1\n1 2724\n2724 1\n1 2725\n2725 1\n1 2726\n2726 1\n1 2727\n2727 1\n1 2728\n2728 1\n1 2729\n2729 1\n1 2730\n2730 1\n1 2731\n2731 1\n1 2732\n2732 1\n1 2733\n2733 1\n1 2734\n2734 1\n1 2735\n2735 1\n1 2736\n2736 1\n1 2737\n2737 1\n1 2738\n2738 1\n1 2739\n2739 1\n1 2740\n2740 1\n1 2741\n2741 1\n1 2742\n2742 1\n1 2743\n2743 1\n1 2744\n2744 1\n1 2745\n2745 1\n1 2746\n2746 1\n1 2747\n2747 1\n1 2748\n2748 1\n1 2749\n2749 1\n1 2750\n2750 1\n1 2751\n2751 1\n1 2752\n2752 1\n1 2753\n2753 1\n1 2754\n2754 1\n1 2755\n2755 1\n1 2756\n2756 1\n1 2757\n2757 1\n1 2758\n2758 1\n1 2759\n2759 1\n1 2760\n2760 1\n1 2761\n2761 1\n1 2762\n2762 1\n1 2763\n2763 1\n1 2764\n2764 1\n1 2765\n2765 1\n1 2766\n2766 1\n1 2767\n2767 1\n1 2768\n2768 1\n1 2769\n2769 1\n1 2770\n2770 1\n1 2771\n2771 1\n1 2772\n2772 1\n1 2773\n2773 1\n1 2774\n2774 1\n1 2775\n2775 1\n1 2776\n2776 1\n1 2777\n2777 1\n1 2778\n2778 1\n1 2779\n2779 1\n1 2780\n2780 1\n1 2781\n2781 1\n1 2782\n2782 1\n1 2783\n2783 1\n1 2784\n2784 1\n1 2785\n2785 1\n1 2786\n2786 1\n1 2787\n2787 1\n1 2788\n2788 1\n1 2789\n2789 1\n1 2790\n2790 1\n1 2791\n2791 1\n1 2792\n2792 1\n1 2793\n2793 1\n1 2794\n2794 1\n1 2795\n2795 1\n1 2796\n2796 1\n1 2797\n2797 1\n1 2798\n2798 1\n1 2799\n2799 1\n1 2800\n2800 1\n1 2801\n2801 1\n1 2802\n2802 1\n1 2803\n2803 1\n1 2804\n2804 1\n1 2805\n2805 1\n1 2806\n2806 1\n1 2807\n2807 1\n1 2808\n2808 1\n1 2809\n2809 1\n1 2810\n2810 1\n1 2811\n2811 1\n1 2812\n2812 1\n1 2813\n2813 1\n1 2814\n2814 1\n1 2815\n2815 1\n1 2816\n2816 1\n1 2817\n2817 1\n1 2818\n2818 1\n1 2819\n2819 1\n1 2820\n2820 1\n1 2821\n2821 1\n1 2822\n2822 1\n1 2823\n2823 1\n1 2824\n2824 1\n1 2825\n2825 1\n1 2826\n2826 1\n1 2827\n2827 1\n1 2828\n2828 1\n1 2829\n2829 1\n1 2830\n2830 1\n1 2831\n2831 1\n1 2832\n2832 1\n1 2833\n2833 1\n1 2834\n2834 1\n1 2835\n2835 1\n1 2836\n2836 1\n1 2837\n2837 1\n1 2838\n2838 1\n1 2839\n2839 1\n1 2840\n2840 1\n1 2841\n2841 1\n1 2842\n2842 1\n1 2843\n2843 1\n1 2844\n2844 1\n1 2845\n2845 1\n1 2846\n2846 1\n1 2847\n2847 1\n1 2848\n2848 1\n1 2849\n2849 1\n1 2850\n2850 1\n1 2851\n2851 1\n1 2852\n2852 1\n1 2853\n2853 1\n1 2854\n2854 1\n1 2855\n2855 1\n1 2856\n2856 1\n1 2857\n2857 1\n1 2858\n2858 1\n1 2859\n2859 1\n1 2860\n2860 1\n1 2861\n2861 1\n1 2862\n2862 1\n1 2863\n2863 1\n1 2864\n2864 1\n1 2865\n2865 1\n1 2866\n2866 1\n1 2867\n2867 1\n1 2868\n2868 1\n1 2869\n2869 1\n1 2870\n2870 1\n1 2871\n2871 1\n1 2872\n2872 1\n1 2873\n2873 1\n1 2874\n2874 1\n1 2875\n2875 1\n1 2876\n2876 1\n1 2877\n2877 1\n1 2878\n2878 1\n1 2879\n2879 1\n1 2880\n2880 1\n1 2881\n2881 1\n1 2882\n2882 1\n1 2883\n2883 1\n1 2884\n2884 1\n1 2885\n2885 1\n1 2886\n2886 1\n1 2887\n2887 1\n1 2888\n2888 1\n1 2889\n2889 1\n1 2890\n2890 1\n1 2891\n2891 1\n1 2892\n2892 1\n1 2893\n2893 1\n1 2894\n2894 1\n1 2895\n2895 1\n1 2896\n2896 1\n1 2897\n2897 1\n1 2898\n2898 1\n1 2899\n2899 1\n1 2900\n2900 1\n1 2901\n2901 1\n1 2902\n2902 1\n1 2903\n2903 1\n1 2904\n2904 1\n1 2905\n2905 1\n1 2906\n2906 1\n1 2907\n2907 1\n1 2908\n2908 1\n1 2909\n2909 1\n1 2910\n2910 1\n1 2911\n2911 1\n1 2912\n2912 1\n1 2913\n2913 1\n1 2914\n2914 1\n1 2915\n2915 1\n1 2916\n2916 1\n1 2917\n2917 1\n1 2918\n2918 1\n1 2919\n2919 1\n1 2920\n2920 1\n1 2921\n2921 1\n1 2922\n2922 1\n1 2923\n2923 1\n1 2924\n2924 1\n1 2925\n2925 1\n1 2926\n2926 1\n1 2927\n2927 1\n1 2928\n2928 1\n1 2929\n2929 1\n1 2930\n2930 1\n1 2931\n2931 1\n1 2932\n2932 1\n1 2933\n2933 1\n1 2934\n2934 1\n1 2935\n2935 1\n1 2936\n2936 1\n1 2937\n2937 1\n1 2938\n2938 1\n1 2939\n2939 1\n1 2940\n2940 1\n1 2941\n2941 1\n1 2942\n2942 1\n1 2943\n2943 1\n1 2944\n2944 1\n1 2945\n2945 1\n1 2946\n2946 1\n1 2947\n2947 1\n1 2948\n2948 1\n1 2949\n2949 1\n1 2950\n2950 1\n1 2951\n2951 1\n1 2952\n2952 1\n1 2953\n2953 1\n1 2954\n2954 1\n1 2955\n2955 1\n1 2956\n2956 1\n1 2957\n2957 1\n1 2958\n2958 1\n1 2959\n2959 1\n1 2960\n2960 1\n1 2961\n2961 1\n1 2962\n2962 1\n1 2963\n2963 1\n1 2964\n2964 1\n1 2965\n2965 1\n1 2966\n2966 1\n1 2967\n2967 1\n1 2968\n2968 1\n1 2969\n2969 1\n1 2970\n2970 1\n1 2971\n2971 1\n1 2972\n2972 1\n1 2973\n2973 1\n1 2974\n2974 1\n1 2975\n2975 1\n1 2976\n2976 1\n1 2977\n2977 1\n1 2978\n2978 1\n1 2979\n2979 1\n1 2980\n2980 1\n1 2981\n2981 1\n1 2982\n2982 1\n1 2983\n2983 1\n1 2984\n2984 1\n1 2985\n2985 1\n1 2986\n2986 1\n1 2987\n2987 1\n1 2988\n2988 1\n1 2989\n2989 1\n1 2990\n2990 1\n1 2991\n2991 1\n1 2992\n2992 1\n1 2993\n2993 1\n1 2994\n2994 1\n1 2995\n2995 1\n1 2996\n2996 1\n1 2997\n2997 1\n1 2998\n2998 1\n1 2999\n2999 1\n1 3000\n3000 1\n1 3001\n3001 1\n1 3002\n3002 1\n1 3003\n3003 1\n1 3004\n3004 1\n1 3005\n3005 1\n1 3006\n3006 1\n1 3007\n3007 1\n1 3008\n3008 1\n1 3009\n3009 1\n1 3010\n3010 1\n1 3011\n3011 1\n1 3012\n3012 1\n1 3013\n3013 1\n1 3014\n3014 1\n1 3015\n3015 1\n1 3016\n3016 1\n1 3017\n3017 1\n1 3018\n3018 1\n1 3019\n3019 1\n1 3020\n3020 1\n1 3021\n3021 1\n1 3022\n3022 1\n1 3023\n3023 1\n1 3024\n3024 1\n1 3025\n3025 1\n1 3026\n3026 1\n1 3027\n3027 1\n1 3028\n3028 1\n1 3029\n3029 1\n1 3030\n3030 1\n1 3031\n3031 1\n1 3032\n3032 1\n1 3033\n3033 1\n1 3034\n3034 1\n1 3035\n3035 1\n1 3036\n3036 1\n1 3037\n3037 1\n1 3038\n3038 1\n1 3039\n3039 1\n1 3040\n3040 1\n1 3041\n3041 1\n1 3042\n3042 1\n1 3043\n3043 1\n1 3044\n3044 1\n1 3045\n3045 1\n1 3046\n3046 1\n1 3047\n3047 1\n1 3048\n3048 1\n1 3049\n3049 1\n1 3050\n3050 1\n1 3051\n3051 1\n1 3052\n3052 1\n1 3053\n3053 1\n1 3054\n3054 1\n1 3055\n3055 1\n1 3056\n3056 1\n1 3057\n3057 1\n1 3058\n3058 1\n1 3059\n3059 1\n1 3060\n3060 1\n1 3061\n3061 1\n1 3062\n3062 1\n1 3063\n3063 1\n1 3064\n3064 1\n1 3065\n3065 1\n1 3066\n3066 1\n1 3067\n3067 1\n1 3068\n3068 1\n1 3069\n3069 1\n1 3070\n3070 1\n1 3071\n3071 1\n1 3072\n3072 1\n1 3073\n3073 1\n1 3074\n3074 1\n1 3075\n3075 1\n1 3076\n3076 1\n1 3077\n3077 1\n1 3078\n3078 1\n1 3079\n3079 1\n1 3080\n3080 1\n1 3081\n3081 1\n1 3082\n3082 1\n1 3083\n3083 1\n1 3084\n3084 1\n1 3085\n3085 1\n1 3086\n3086 1\n1 3087\n3087 1\n1 3088\n3088 1\n1 3089\n3089 1\n1 3090\n3090 1\n1 3091\n3091 1\n1 3092\n3092 1\n1 3093\n3093 1\n1 3094\n3094 1\n1 3095\n3095 1\n1 3096\n3096 1\n1 3097\n3097 1\n1 3098\n3098 1\n1 3099\n3099 1\n1 3100\n3100 1\n1 3101\n3101 1\n1 3102\n3102 1\n1 3103\n3103 1\n1 3104\n3104 1\n1 3105\n3105 1\n1 3106\n3106 1\n1 3107\n3107 1\n1 3108\n3108 1\n1 3109\n3109 1\n1 3110\n3110 1\n1 3111\n3111 1\n1 3112\n3112 1\n1 3113\n3113 1\n1 3114\n3114 1\n1 3115\n3115 1\n1 3116\n3116 1\n1 3117\n3117 1\n1 3118\n3118 1\n1 3119\n3119 1\n1 3120\n3120 1\n1 3121\n3121 1\n1 3122\n3122 1\n1 3123\n3123 1\n1 3124\n3124 1\n1 3125\n3125 1\n1 3126\n3126 1\n1 3127\n3127 1\n1 3128\n3128 1\n1 3129\n3129 1\n1 3130\n3130 1\n1 3131\n3131 1\n1 3132\n3132 1\n1 3133\n3133 1\n1 3134\n3134 1\n1 3135\n3135 1\n1 3136\n3136 1\n1 3137\n3137 1\n1 3138\n3138 1\n1 3139\n3139 1\n1 3140\n3140 1\n1 3141\n3141 1\n1 3142\n3142 1\n1 3143\n3143 1\n1 3144\n3144 1\n1 3145\n3145 1\n1 3146\n3146 1\n1 3147\n3147 1\n1 3148\n3148 1\n1 3149\n3149 1\n1 3150\n3150 1\n1 3151\n3151 1\n1 3152\n3152 1\n1 3153\n3153 1\n1 3154\n3154 1\n1 3155\n3155 1\n1 3156\n3156 1\n1 3157\n3157 1\n1 3158\n3158 1\n1 3159\n3159 1\n1 3160\n3160 1\n1 3161\n3161 1\n1 3162\n3162 1\n1 3163\n3163 1\n1 3164\n3164 1\n1 3165\n3165 1\n1 3166\n3166 1\n1 3167\n3167 1\n1 3168\n3168 1\n1 3169\n3169 1\n1 3170\n3170 1\n1 3171\n3171 1\n1 3172\n3172 1\n1 3173\n3173 1\n1 3174\n3174 1\n1 3175\n3175 1\n1 3176\n3176 1\n1 3177\n3177 1\n1 3178\n3178 1\n1 3179\n3179 1\n1 3180\n3180 1\n1 3181\n3181 1\n1 3182\n3182 1\n1 3183\n3183 1\n1 3184\n3184 1\n1 3185\n3185 1\n1 3186\n3186 1\n1 3187\n3187 1\n1 3188\n3188 1\n1 3189\n3189 1\n1 3190\n3190 1\n1 3191\n3191 1\n1 3192\n3192 1\n1 3193\n3193 1\n1 3194\n3194 1\n1 3195\n3195 1\n1 3196\n3196 1\n1 3197\n3197 1\n1 3198\n3198 1\n1 3199\n3199 1\n1 3200\n3200 1\n1 3201\n3201 1\n1 3202\n3202 1\n1 3203\n3203 1\n1 3204\n3204 1\n1 3205\n3205 1\n1 3206\n3206 1\n1 3207\n3207 1\n1 3208\n3208 1\n1 3209\n3209 1\n1 3210\n3210 1\n1 3211\n3211 1\n1 3212\n3212 1\n1 3213\n3213 1\n1 3214\n3214 1\n1 3215\n3215 1\n1 3216\n3216 1\n1 3217\n3217 1\n1 3218\n3218 1\n1 3219\n3219 1\n1 3220\n3220 1\n1 3221\n3221 1\n1 3222\n3222 1\n1 3223\n3223 1\n1 3224\n3224 1\n1 3225\n3225 1\n1 3226\n3226 1\n1 3227\n3227 1\n1 3228\n3228 1\n1 3229\n3229 1\n1 3230\n3230 1\n1 3231\n3231 1\n1 3232\n3232 1\n1 3233\n3233 1\n1 3234\n3234 1\n1 3235\n3235 1\n1 3236\n3236 1\n1 3237\n3237 1\n1 3238\n3238 1\n1 3239\n3239 1\n1 3240\n3240 1\n1 3241\n3241 1\n1 3242\n3242 1\n1 3243\n3243 1\n1 3244\n3244 1\n1 3245\n3245 1\n1 3246\n3246 1\n1 3247\n3247 1\n1 3248\n3248 1\n1 3249\n3249 1\n1 3250\n3250 1\n1 3251\n3251 1\n1 3252\n3252 1\n1 3253\n3253 1\n1 3254\n3254 1\n1 3255\n3255 1\n1 3256\n3256 1\n1 3257\n3257 1\n1 3258\n3258 1\n1 3259\n3259 1\n1 3260\n3260 1\n1 3261\n3261 1\n1 3262\n3262 1\n1 3263\n3263 1\n1 3264\n3264 1\n1 3265\n3265 1\n1 3266\n3266 1\n1 3267\n3267 1\n1 3268\n3268 1\n1 3269\n3269 1\n1 3270\n3270 1\n1 3271\n3271 1\n1 3272\n3272 1\n1 3273\n3273 1\n1 3274\n3274 1\n1 3275\n3275 1\n1 3276\n3276 1\n1 3277\n3277 1\n1 3278\n3278 1\n1 3279\n3279 1\n1 3280\n3280 1\n1 3281\n3281 1\n1 3282\n3282 1\n1 3283\n3283 1\n1 3284\n3284 1\n1 3285\n3285 1\n1 3286\n3286 1\n1 3287\n3287 1\n1 3288\n3288 1\n1 3289\n3289 1\n1 3290\n3290 1\n1 3291\n3291 1\n1 3292\n3292 1\n1 3293\n3293 1\n1 3294\n3294 1\n1 3295\n3295 1\n1 3296\n3296 1\n1 3297\n3297 1\n1 3298\n3298 1\n1 3299\n3299 1\n1 3300\n3300 1\n1 3301\n3301 1\n1 3302\n3302 1\n1 3303\n3303 1\n1 3304\n3304 1\n1 3305\n3305 1\n1 3306\n3306 1\n1 3307\n3307 1\n1 3308\n3308 1\n1 3309\n3309 1\n1 3310\n3310 1\n1 3311\n3311 1\n1 3312\n3312 1\n1 3313\n3313 1\n1 3314\n3314 1\n1 3315\n3315 1\n1 3316\n3316 1\n1 3317\n3317 1\n1 3318\n3318 1\n1 3319\n3319 1\n1 3320\n3320 1\n1 3321\n3321 1\n1 3322\n3322 1\n1 3323\n3323 1\n1 3324\n3324 1\n1 3325\n3325 1\n1 3326\n3326 1\n1 3327\n3327 1\n1 3328\n3328 1\n1 3329\n3329 1\n1 3330\n3330 1\n1 3331\n3331 1\n1 3332\n3332 1\n1 3333\n3333 1\n1 3334\n3334 1\n1 3335\n3335 1\n1 3336\n3336 1\n1 3337\n3337 1\n1 3338\n3338 1\n1 3339\n3339 1\n1 3340\n3340 1\n1 3341\n3341 1\n1 3342\n3342 1\n1 3343\n3343 1\n1 3344\n3344 1\n1 3345\n3345 1\n1 3346\n3346 1\n1 3347\n3347 1\n1 3348\n3348 1\n1 3349\n3349 1\n1 3350\n3350 1\n1 3351\n3351 1\n1 3352\n3352 1\n1 3353\n3353 1\n1 3354\n3354 1\n1 3355\n3355 1\n1 3356\n3356 1\n1 3357\n3357 1\n1 3358\n3358 1\n1 3359\n3359 1\n1 3360\n3360 1\n1 3361\n3361 1\n1 3362\n3362 1\n1 3363\n3363 1\n1 3364\n3364 1\n1 3365\n3365 1\n1 3366\n3366 1\n1 3367\n3367 1\n1 3368\n3368 1\n1 3369\n3369 1\n1 3370\n3370 1\n1 3371\n3371 1\n1 3372\n3372 1\n1 3373\n3373 1\n1 3374\n3374 1\n1 3375\n3375 1\n1 3376\n3376 1\n1 3377\n3377 1\n1 3378\n3378 1\n1 3379\n3379 1\n1 3380\n3380 1\n1 3381\n3381 1\n1 3382\n3382 1\n1 3383\n3383 1\n1 3384\n3384 1\n1 3385\n3385 1\n1 3386\n3386 1\n1 3387\n3387 1\n1 3388\n3388 1\n1 3389\n3389 1\n1 3390\n3390 1\n1 3391\n3391 1\n1 3392\n3392 1\n1 3393\n3393 1\n1 3394\n3394 1\n1 3395\n3395 1\n1 3396\n3396 1\n1 3397\n3397 1\n1 3398\n3398 1\n1 3399\n3399 1\n1 3400\n3400 1\n1 3401\n3401 1\n1 3402\n3402 1\n1 3403\n3403 1\n1 3404\n3404 1\n1 3405\n3405 1\n1 3406\n3406 1\n1 3407\n3407 1\n1 3408\n3408 1\n1 3409\n3409 1\n1 3410\n3410 1\n1 3411\n3411 1\n1 3412\n3412 1\n1 3413\n3413 1\n1 3414\n3414 1\n1 3415\n3415 1\n1 3416\n3416 1\n1 3417\n3417 1\n1 3418\n3418 1\n1 3419\n3419 1\n1 3420\n3420 1\n1 3421\n3421 1\n1 3422\n3422 1\n1 3423\n3423 1\n1 3424\n3424 1\n1 3425\n3425 1\n1 3426\n3426 1\n1 3427\n3427 1\n1 3428\n3428 1\n1 3429\n3429 1\n1 3430\n3430 1\n1 3431\n3431 1\n1 3432\n3432 1\n1 3433\n3433 1\n1 3434\n3434 1\n1 3435\n3435 1\n1 3436\n3436 1\n1 3437\n3437 1\n1 3438\n3438 1\n1 3439\n3439 1\n1 3440\n3440 1\n1 3441\n3441 1\n1 3442\n3442 1\n1 3443\n3443 1\n1 3444\n3444 1\n1 3445\n3445 1\n1 3446\n3446 1\n1 3447\n3447 1\n1 3448\n3448 1\n1 3449\n3449 1\n1 3450\n3450 1\n1 3451\n3451 1\n1 3452\n3452 1\n1 3453\n3453 1\n1 3454\n3454 1\n1 3455\n3455 1\n1 3456\n3456 1\n1 3457\n3457 1\n1 3458\n3458 1\n1 3459\n3459 1\n1 3460\n3460 1\n1 3461\n3461 1\n1 3462\n3462 1\n1 3463\n3463 1\n1 3464\n3464 1\n1 3465\n3465 1\n1 3466\n3466 1\n1 3467\n3467 1\n1 3468\n3468 1\n1 3469\n3469 1\n1 3470\n3470 1\n1 3471\n3471 1\n1 3472\n3472 1\n1 3473\n3473 1\n1 3474\n3474 1\n1 3475\n3475 1\n1 3476\n3476 1\n1 3477\n3477 1\n1 3478\n3478 1\n1 3479\n3479 1\n1 3480\n3480 1\n1 3481\n3481 1\n1 3482\n3482 1\n1 3483\n3483 1\n1 3484\n3484 1\n1 3485\n3485 1\n1 3486\n3486 1\n1 3487\n3487 1\n1 3488\n3488 1\n1 3489\n3489 1\n1 3490\n3490 1\n1 3491\n3491 1\n1 3492\n3492 1\n1 3493\n3493 1\n1 3494\n3494 1\n1 3495\n3495 1\n1 3496\n3496 1\n1 3497\n3497 1\n1 3498\n3498 1\n1 3499\n3499 1\n1 3500\n3500 1\n1 3501\n3501 1\n1 3502\n3502 1\n1 3503\n3503 1\n1 3504\n3504 1\n1 3505\n3505 1\n1 3506\n3506 1\n1 3507\n3507 1\n1 3508\n3508 1\n1 3509\n3509 1\n1 3510\n3510 1\n1 3511\n3511 1\n1 3512\n3512 1\n1 3513\n3513 1\n1 3514\n3514 1\n1 3515\n3515 1\n1 3516\n3516 1\n1 3517\n3517 1\n1 3518\n3518 1\n1 3519\n3519 1\n1 3520\n3520 1\n1 3521\n3521 1\n1 3522\n3522 1\n1 3523\n3523 1\n1 3524\n3524 1\n1 3525\n3525 1\n1 3526\n3526 1\n1 3527\n3527 1\n1 3528\n3528 1\n1 3529\n3529 1\n1 3530\n3530 1\n1 3531\n3531 1\n1 3532\n3532 1\n1 3533\n3533 1\n1 3534\n3534 1\n1 3535\n3535 1\n1 3536\n3536 1\n1 3537\n3537 1\n1 3538\n3538 1\n1 3539\n3539 1\n1 3540\n3540 1\n1 3541\n3541 1\n1 3542\n3542 1\n1 3543\n3543 1\n1 3544\n3544 1\n1 3545\n3545 1\n1 3546\n3546 1\n1 3547\n3547 1\n1 3548\n3548 1\n1 3549\n3549 1\n1 3550\n3550 1\n1 3551\n3551 1\n1 3552\n3552 1\n1 3553\n3553 1\n1 3554\n3554 1\n1 3555\n3555 1\n1 3556\n3556 1\n1 3557\n3557 1\n1 3558\n3558 1\n1 3559\n3559 1\n1 3560\n3560 1\n1 3561\n3561 1\n1 3562\n3562 1\n1 3563\n3563 1\n1 3564\n3564 1\n1 3565\n3565 1\n1 3566\n3566 1\n1 3567\n3567 1\n1 3568\n3568 1\n1 3569\n3569 1\n1 3570\n3570 1\n1 3571\n3571 1\n1 3572\n3572 1\n1 3573\n3573 1\n1 3574\n3574 1\n1 3575\n3575 1\n1 3576\n3576 1\n1 3577\n3577 1\n1 3578\n3578 1\n1 3579\n3579 1\n1 3580\n3580 1\n1 3581\n3581 1\n1 3582\n3582 1\n1 3583\n3583 1\n1 3584\n3584 1\n1 3585\n3585 1\n1 3586\n3586 1\n1 3587\n3587 1\n1 3588\n3588 1\n1 3589\n3589 1\n1 3590\n3590 1\n1 3591\n3591 1\n1 3592\n3592 1\n1 3593\n3593 1\n1 3594\n3594 1\n1 3595\n3595 1\n1 3596\n3596 1\n1 3597\n3597 1\n1 3598\n3598 1\n1 3599\n3599 1\n1 3600\n3600 1\n1 3601\n3601 1\n1 3602\n3602 1\n1 3603\n3603 1\n1 3604\n3604 1\n1 3605\n3605 1\n1 3606\n3606 1\n1 3607\n3607 1\n1 3608\n3608 1\n1 3609\n3609 1\n1 3610\n3610 1\n1 3611\n3611 1\n1 3612\n3612 1\n1 3613\n3613 1\n1 3614\n3614 1\n1 3615\n3615 1\n1 3616\n3616 1\n1 3617\n3617 1\n1 3618\n3618 1\n1 3619\n3619 1\n1 3620\n3620 1\n1 3621\n3621 1\n1 3622\n3622 1\n1 3623\n3623 1\n1 3624\n3624 1\n1 3625\n3625 1\n1 3626\n3626 1\n1 3627\n3627 1\n1 3628\n3628 1\n1 3629\n3629 1\n1 3630\n3630 1\n1 3631\n3631 1\n1 3632\n3632 1\n1 3633\n3633 1\n1 3634\n3634 1\n1 3635\n3635 1\n1 3636\n3636 1\n1 3637\n3637 1\n1 3638\n3638 1\n1 3639\n3639 1\n1 3640\n3640 1\n1 3641\n3641 1\n1 3642\n3642 1\n1 3643\n3643 1\n1 3644\n3644 1\n1 3645\n3645 1\n1 3646\n3646 1\n1 3647\n3647 1\n1 3648\n3648 1\n1 3649\n3649 1\n1 3650\n3650 1\n1 3651\n3651 1\n1 3652\n3652 1\n1 3653\n3653 1\n1 3654\n3654 1\n1 3655\n3655 1\n1 3656\n3656 1\n1 3657\n3657 1\n1 3658\n3658 1\n1 3659\n3659 1\n1 3660\n3660 1\n1 3661\n3661 1\n1 3662\n3662 1\n1 3663\n3663 1\n1 3664\n3664 1\n1 3665\n3665 1\n1 3666\n3666 1\n1 3667\n3667 1\n1 3668\n3668 1\n1 3669\n3669 1\n1 3670\n3670 1\n1 3671\n3671 1\n1 3672\n3672 1\n1 3673\n3673 1\n1 3674\n3674 1\n1 3675\n3675 1\n1 3676\n3676 1\n1 3677\n3677 1\n1 3678\n3678 1\n1 3679\n3679 1\n1 3680\n3680 1\n1 3681\n3681 1\n1 3682\n3682 1\n1 3683\n3683 1\n1 3684\n3684 1\n1 3685\n3685 1\n1 3686\n3686 1\n1 3687\n3687 1\n1 3688\n3688 1\n1 3689\n3689 1\n1 3690\n3690 1\n1 3691\n3691 1\n1 3692\n3692 1\n1 3693\n3693 1\n1 3694\n3694 1\n1 3695\n3695 1\n1 3696\n3696 1\n1 3697\n3697 1\n1 3698\n3698 1\n1 3699\n3699 1\n1 3700\n3700 1\n1 3701\n3701 1\n1 3702\n3702 1\n1 3703\n3703 1\n1 3704\n3704 1\n1 3705\n3705 1\n1 3706\n3706 1\n1 3707\n3707 1\n1 3708\n3708 1\n1 3709\n3709 1\n1 3710\n3710 1\n1 3711\n3711 1\n1 3712\n3712 1\n1 3713\n3713 1\n1 3714\n3714 1\n1 3715\n3715 1\n1 3716\n3716 1\n1 3717\n3717 1\n1 3718\n3718 1\n1 3719\n3719 1\n1 3720\n3720 1\n1 3721\n3721 1\n1 3722\n3722 1\n1 3723\n3723 1\n1 3724\n3724 1\n1 3725\n3725 1\n1 3726\n3726 1\n1 3727\n3727 1\n1 3728\n3728 1\n1 3729\n3729 1\n1 3730\n3730 1\n1 3731\n3731 1\n1 3732\n3732 1\n1 3733\n3733 1\n1 3734\n3734 1\n1 3735\n3735 1\n1 3736\n3736 1\n1 3737\n3737 1\n1 3738\n3738 1\n1 3739\n3739 1\n1 3740\n3740 1\n1 3741\n3741 1\n1 3742\n3742 1\n1 3743\n3743 1\n1 3744\n3744 1\n1 3745\n3745 1\n1 3746\n3746 1\n1 3747\n3747 1\n1 3748\n3748 1\n1 3749\n3749 1\n1 3750\n3750 1\n1 3751\n3751 1\n1 3752\n3752 1\n1 3753\n3753 1\n1 3754\n3754 1\n1 3755\n3755 1\n1 3756\n3756 1\n1 3757\n3757 1\n1 3758\n3758 1\n1 3759\n3759 1\n1 3760\n3760 1\n1 3761\n3761 1\n1 3762\n3762 1\n1 3763\n3763 1\n1 3764\n3764 1\n1 3765\n3765 1\n1 3766\n3766 1\n1 3767\n3767 1\n1 3768\n3768 1\n1 3769\n3769 1\n1 3770\n3770 1\n1 3771\n3771 1\n1 3772\n3772 1\n1 3773\n3773 1\n1 3774\n3774 1\n1 3775\n3775 1\n1 3776\n3776 1\n1 3777\n3777 1\n1 3778\n3778 1\n1 3779\n3779 1\n1 3780\n3780 1\n1 3781\n3781 1\n1 3782\n3782 1\n1 3783\n3783 1\n1 3784\n3784 1\n1 3785\n3785 1\n1 3786\n3786 1\n1 3787\n3787 1\n1 3788\n3788 1\n1 3789\n3789 1\n1 3790\n3790 1\n1 3791\n3791 1\n1 3792\n3792 1\n1 3793\n3793 1\n1 3794\n3794 1\n1 3795\n3795 1\n1 3796\n3796 1\n1 3797\n3797 1\n1 3798\n3798 1\n1 3799\n3799 1\n1 3800\n3800 1\n1 3801\n3801 1\n1 3802\n3802 1\n1 3803\n3803 1\n1 3804\n3804 1\n1 3805\n3805 1\n1 3806\n3806 1\n1 3807\n3807 1\n1 3808\n3808 1\n1 3809\n3809 1\n1 3810\n3810 1\n1 3811\n3811 1\n1 3812\n3812 1\n1 3813\n3813 1\n1 3814\n3814 1\n1 3815\n3815 1\n1 3816\n3816 1\n1 3817\n3817 1\n1 3818\n3818 1\n1 3819\n3819 1\n1 3820\n3820 1\n1 3821\n3821 1\n1 3822\n3822 1\n1 3823\n3823 1\n1 3824\n3824 1\n1 3825\n3825 1\n1 3826\n3826 1\n1 3827\n3827 1\n1 3828\n3828 1\n1 3829\n3829 1\n1 3830\n3830 1\n1 3831\n3831 1\n1 3832\n3832 1\n1 3833\n3833 1\n1 3834\n3834 1\n1 3835\n3835 1\n1 3836\n3836 1\n1 3837\n3837 1\n1 3838\n3838 1\n1 3839\n3839 1\n1 3840\n3840 1\n1 3841\n3841 1\n1 3842\n3842 1\n1 3843\n3843 1\n1 3844\n3844 1\n1 3845\n3845 1\n1 3846\n3846 1\n1 3847\n3847 1\n1 3848\n3848 1\n1 3849\n3849 1\n1 3850\n3850 1\n1 3851\n3851 1\n1 3852\n3852 1\n1 3853\n3853 1\n1 3854\n3854 1\n1 3855\n3855 1\n1 3856\n3856 1\n1 3857\n3857 1\n1 3858\n3858 1\n1 3859\n3859 1\n1 3860\n3860 1\n1 3861\n3861 1\n1 3862\n3862 1\n1 3863\n3863 1\n1 3864\n3864 1\n1 3865\n3865 1\n1 3866\n3866 1\n1 3867\n3867 1\n1 3868\n3868 1\n1 3869\n3869 1\n1 3870\n3870 1\n1 3871\n3871 1\n1 3872\n3872 1\n1 3873\n3873 1\n1 3874\n3874 1\n1 3875\n3875 1\n1 3876\n3876 1\n1 3877\n3877 1\n1 3878\n3878 1\n1 3879\n3879 1\n1 3880\n3880 1\n1 3881\n3881 1\n1 3882\n3882 1\n1 3883\n3883 1\n1 3884\n3884 1\n1 3885\n3885 1\n1 3886\n3886 1\n1 3887\n3887 1\n1 3888\n3888 1\n1 3889\n3889 1\n1 3890\n3890 1\n1 3891\n3891 1\n1 3892\n3892 1\n1 3893\n3893 1\n1 3894\n3894 1\n1 3895\n3895 1\n1 3896\n3896 1\n1 3897\n3897 1\n1 3898\n3898 1\n1 3899\n3899 1\n1 3900\n3900 1\n1 3901\n3901 1\n1 3902\n3902 1\n1 3903\n3903 1\n1 3904\n3904 1\n1 3905\n3905 1\n1 3906\n3906 1\n1 3907\n3907 1\n1 3908\n3908 1\n1 3909\n3909 1\n1 3910\n3910 1\n1 3911\n3911 1\n1 3912\n3912 1\n1 3913\n3913 1\n1 3914\n3914 1\n1 3915\n3915 1\n1 3916\n3916 1\n1 3917\n3917 1\n1 3918\n3918 1\n1 3919\n3919 1\n1 3920\n3920 1\n1 3921\n3921 1\n1 3922\n3922 1\n1 3923\n3923 1\n1 3924\n3924 1\n1 3925\n3925 1\n1 3926\n3926 1\n1 3927\n3927 1\n1 3928\n3928 1\n1 3929\n3929 1\n1 3930\n3930 1\n1 3931\n3931 1\n1 3932\n3932 1\n1 3933\n3933 1\n1 3934\n3934 1\n1 3935\n3935 1\n1 3936\n3936 1\n1 3937\n3937 1\n1 3938\n3938 1\n1 3939\n3939 1\n1 3940\n3940 1\n1 3941\n3941 1\n1 3942\n3942 1\n1 3943\n3943 1\n1 3944\n3944 1\n1 3945\n3945 1\n1 3946\n3946 1\n1 3947\n3947 1\n1 3948\n3948 1\n1 3949\n3949 1\n1 3950\n3950 1\n1 3951\n3951 1\n1 3952\n3952 1\n1 3953\n3953 1\n1 3954\n3954 1\n1 3955\n3955 1\n1 3956\n3956 1\n1 3957\n3957 1\n1 3958\n3958 1\n1 3959\n3959 1\n1 3960\n3960 1\n1 3961\n3961 1\n1 3962\n3962 1\n1 3963\n3963 1\n1 3964\n3964 1\n1 3965\n3965 1\n1 3966\n3966 1\n1 3967\n3967 1\n1 3968\n3968 1\n1 3969\n3969 1\n1 3970\n3970 1\n1 3971\n3971 1\n1 3972\n3972 1\n1 3973\n3973 1\n1 3974\n3974 1\n1 3975\n3975 1\n1 3976\n3976 1\n1 3977\n3977 1\n1 3978\n3978 1\n1 3979\n3979 1\n1 3980\n3980 1\n1 3981\n3981 1\n1 3982\n3982 1\n1 3983\n3983 1\n1 3984\n3984 1\n1 3985\n3985 1\n1 3986\n3986 1\n1 3987\n3987 1\n1 3988\n3988 1\n1 3989\n3989 1\n1 3990\n3990 1\n1 3991\n3991 1\n1 3992\n3992 1\n1 3993\n3993 1\n1 3994\n3994 1\n1 3995\n3995 1\n1 3996\n3996 1\n1 3997\n3997 1\n1 3998\n3998 1\n1 3999\n3999 1\n1 4000\n4000 1\n1 4001\n4001 1\n1 4002\n4002 1\n1 4003\n4003 1\n1 4004\n4004 1\n1 4005\n4005 1\n1 4006\n4006 1\n1 4007\n4007 1\n1 4008\n4008 1\n1 4009\n4009 1\n1 4010\n4010 1\n1 4011\n4011 1\n1 4012\n4012 1\n1 4013\n4013 1\n1 4014\n4014 1\n1 4015\n4015 1\n1 4016\n4016 1\n1 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4079\n4079 1\n1 4080\n4080 1\n1 4081\n4081 1\n1 4082\n4082 1\n1 4083\n4083 1\n1 4084\n4084 1\n1 4085\n4085 1\n1 4086\n4086 1\n1 4087\n4087 1\n1 4088\n4088 1\n1 4089\n4089 1\n1 4090\n4090 1\n1 4091\n4091 1\n1 4092\n4092 1\n1 4093\n4093 1\n1 4094\n4094 1\n1 4095\n4095 1\n1 4096\n4096 1\n1 4097\n4097 1\n1 4098\n4098 1\n1 4099\n4099 1\n1 4100\n4100 1\n1 4101\n4101 1\n1 4102\n4102 1\n1 4103\n4103 1\n1 4104\n4104 1\n1 4105\n4105 1\n1 4106\n4106 1\n1 4107\n4107 1\n1 4108\n4108 1\n1 4109\n4109 1\n1 4110\n4110 1\n1 4111\n4111 1\n1 4112\n4112 1\n1 4113\n4113 1\n1 4114\n4114 1\n1 4115\n4115 1\n1 4116\n4116 1\n1 4117\n4117 1\n1 4118\n4118 1\n1 4119\n4119 1\n1 4120\n4120 1\n1 4121\n4121 1\n1 4122\n4122 1\n1 4123\n4123 1\n1 4124\n4124 1\n1 4125\n4125 1\n1 4126\n4126 1\n1 4127\n4127 1\n1 4128\n4128 1\n1 4129\n4129 1\n1 4130\n4130 1\n1 4131\n4131 1\n1 4132\n4132 1\n1 4133\n4133 1\n1 4134\n4134 1\n1 4135\n4135 1\n1 4136\n4136 1\n1 4137\n4137 1\n1 4138\n4138 1\n1 4139\n4139 1\n1 4140\n4140 1\n1 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4389\n4389 1\n1 4390\n4390 1\n1 4391\n4391 1\n1 4392\n4392 1\n1 4393\n4393 1\n1 4394\n4394 1\n1 4395\n4395 1\n1 4396\n4396 1\n1 4397\n4397 1\n1 4398\n4398 1\n1 4399\n4399 1\n1 4400\n4400 1\n1 4401\n4401 1\n1 4402\n4402 1\n1 4403\n4403 1\n1 4404\n4404 1\n1 4405\n4405 1\n1 4406\n4406 1\n1 4407\n4407 1\n1 4408\n4408 1\n1 4409\n4409 1\n1 4410\n4410 1\n1 4411\n4411 1\n1 4412\n4412 1\n1 4413\n4413 1\n1 4414\n4414 1\n1 4415\n4415 1\n1 4416\n4416 1\n1 4417\n4417 1\n1 4418\n4418 1\n1 4419\n4419 1\n1 4420\n4420 1\n1 4421\n4421 1\n1 4422\n4422 1\n1 4423\n4423 1\n1 4424\n4424 1\n1 4425\n4425 1\n1 4426\n4426 1\n1 4427\n4427 1\n1 4428\n4428 1\n1 4429\n4429 1\n1 4430\n4430 1\n1 4431\n4431 1\n1 4432\n4432 1\n1 4433\n4433 1\n1 4434\n4434 1\n1 4435\n4435 1\n1 4436\n4436 1\n1 4437\n4437 1\n1 4438\n4438 1\n1 4439\n4439 1\n1 4440\n4440 1\n1 4441\n4441 1\n1 4442\n4442 1\n1 4443\n4443 1\n1 4444\n4444 1\n1 4445\n4445 1\n1 4446\n4446 1\n1 4447\n4447 1\n1 4448\n4448 1\n1 4449\n4449 1\n1 4450\n4450 1\n1 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4513\n4513 1\n1 4514\n4514 1\n1 4515\n4515 1\n1 4516\n4516 1\n1 4517\n4517 1\n1 4518\n4518 1\n1 4519\n4519 1\n1 4520\n4520 1\n1 4521\n4521 1\n1 4522\n4522 1\n1 4523\n4523 1\n1 4524\n4524 1\n1 4525\n4525 1\n1 4526\n4526 1\n1 4527\n4527 1\n1 4528\n4528 1\n1 4529\n4529 1\n1 4530\n4530 1\n1 4531\n4531 1\n1 4532\n4532 1\n1 4533\n4533 1\n1 4534\n4534 1\n1 4535\n4535 1\n1 4536\n4536 1\n1 4537\n4537 1\n1 4538\n4538 1\n1 4539\n4539 1\n1 4540\n4540 1\n1 4541\n4541 1\n1 4542\n4542 1\n1 4543\n4543 1\n1 4544\n4544 1\n1 4545\n4545 1\n1 4546\n4546 1\n1 4547\n4547 1\n1 4548\n4548 1\n1 4549\n4549 1\n1 4550\n4550 1\n1 4551\n4551 1\n1 4552\n4552 1\n1 4553\n4553 1\n1 4554\n4554 1\n1 4555\n4555 1\n1 4556\n4556 1\n1 4557\n4557 1\n1 4558\n4558 1\n1 4559\n4559 1\n1 4560\n4560 1\n1 4561\n4561 1\n1 4562\n4562 1\n1 4563\n4563 1\n1 4564\n4564 1\n1 4565\n4565 1\n1 4566\n4566 1\n1 4567\n4567 1\n1 4568\n4568 1\n1 4569\n4569 1\n1 4570\n4570 1\n1 4571\n4571 1\n1 4572\n4572 1\n1 4573\n4573 1\n1 4574\n4574 1\n1 4575\n4575 1\n1 4576\n4576 1\n1 4577\n4577 1\n1 4578\n4578 1\n1 4579\n4579 1\n1 4580\n4580 1\n1 4581\n4581 1\n1 4582\n4582 1\n1 4583\n4583 1\n1 4584\n4584 1\n1 4585\n4585 1\n1 4586\n4586 1\n1 4587\n4587 1\n1 4588\n4588 1\n1 4589\n4589 1\n1 4590\n4590 1\n1 4591\n4591 1\n1 4592\n4592 1\n1 4593\n4593 1\n1 4594\n4594 1\n1 4595\n4595 1\n1 4596\n4596 1\n1 4597\n4597 1\n1 4598\n4598 1\n1 4599\n4599 1\n1 4600\n4600 1\n1 4601\n4601 1\n1 4602\n4602 1\n1 4603\n4603 1\n1 4604\n4604 1\n1 4605\n4605 1\n1 4606\n4606 1\n1 4607\n4607 1\n1 4608\n4608 1\n1 4609\n4609 1\n1 4610\n4610 1\n1 4611\n4611 1\n1 4612\n4612 1\n1 4613\n4613 1\n1 4614\n4614 1\n1 4615\n4615 1\n1 4616\n4616 1\n1 4617\n4617 1\n1 4618\n4618 1\n1 4619\n4619 1\n1 4620\n4620 1\n1 4621\n4621 1\n1 4622\n4622 1\n1 4623\n4623 1\n1 4624\n4624 1\n1 4625\n4625 1\n1 4626\n4626 1\n1 4627\n4627 1\n1 4628\n4628 1\n1 4629\n4629 1\n1 4630\n4630 1\n1 4631\n4631 1\n1 4632\n4632 1\n1 4633\n4633 1\n1 4634\n4634 1\n1 4635\n4635 1\n1 4636\n4636 1\n1 4637\n4637 1\n1 4638\n4638 1\n1 4639\n4639 1\n1 4640\n4640 1\n1 4641\n4641 1\n1 4642\n4642 1\n1 4643\n4643 1\n1 4644\n4644 1\n1 4645\n4645 1\n1 4646\n4646 1\n1 4647\n4647 1\n1 4648\n4648 1\n1 4649\n4649 1\n1 4650\n4650 1\n1 4651\n4651 1\n1 4652\n4652 1\n1 4653\n4653 1\n1 4654\n4654 1\n1 4655\n4655 1\n1 4656\n4656 1\n1 4657\n4657 1\n1 4658\n4658 1\n1 4659\n4659 1\n1 4660\n4660 1\n1 4661\n4661 1\n1 4662\n4662 1\n1 4663\n4663 1\n1 4664\n4664 1\n1 4665\n4665 1\n1 4666\n4666 1\n1 4667\n4667 1\n1 4668\n4668 1\n1 4669\n4669 1\n1 4670\n4670 1\n1 4671\n4671 1\n1 4672\n4672 1\n1 4673\n4673 1\n1 4674\n4674 1\n1 4675\n4675 1\n1 4676\n4676 1\n1 4677\n4677 1\n1 4678\n4678 1\n1 4679\n4679 1\n1 4680\n4680 1\n1 4681\n4681 1\n1 4682\n4682 1\n1 4683\n4683 1\n1 4684\n4684 1\n1 4685\n4685 1\n1 4686\n4686 1\n1 4687\n4687 1\n1 4688\n4688 1\n1 4689\n4689 1\n1 4690\n4690 1\n1 4691\n4691 1\n1 4692\n4692 1\n1 4693\n4693 1\n1 4694\n4694 1\n1 4695\n4695 1\n1 4696\n4696 1\n1 4697\n4697 1\n1 4698\n4698 1\n1 4699\n4699 1\n1 4700\n4700 1\n1 4701\n4701 1\n1 4702\n4702 1\n1 4703\n4703 1\n1 4704\n4704 1\n1 4705\n4705 1\n1 4706\n4706 1\n1 4707\n4707 1\n1 4708\n4708 1\n1 4709\n4709 1\n1 4710\n4710 1\n1 4711\n4711 1\n1 4712\n4712 1\n1 4713\n4713 1\n1 4714\n4714 1\n1 4715\n4715 1\n1 4716\n4716 1\n1 4717\n4717 1\n1 4718\n4718 1\n1 4719\n4719 1\n1 4720\n4720 1\n1 4721\n4721 1\n1 4722\n4722 1\n1 4723\n4723 1\n1 4724\n4724 1\n1 4725\n4725 1\n1 4726\n4726 1\n1 4727\n4727 1\n1 4728\n4728 1\n1 4729\n4729 1\n1 4730\n4730 1\n1 4731\n4731 1\n1 4732\n4732 1\n1 4733\n4733 1\n1 4734\n4734 1\n1 4735\n4735 1\n1 4736\n4736 1\n1 4737\n4737 1\n1 4738\n4738 1\n1 4739\n4739 1\n1 4740\n4740 1\n1 4741\n4741 1\n1 4742\n4742 1\n1 4743\n4743 1\n1 4744\n4744 1\n1 4745\n4745 1\n1 4746\n4746 1\n1 4747\n4747 1\n1 4748\n4748 1\n1 4749\n4749 1\n1 4750\n4750 1\n1 4751\n4751 1\n1 4752\n4752 1\n1 4753\n4753 1\n1 4754\n4754 1\n1 4755\n4755 1\n1 4756\n4756 1\n1 4757\n4757 1\n1 4758\n4758 1\n1 4759\n4759 1\n1 4760\n4760 1\n1 4761\n4761 1\n1 4762\n4762 1\n1 4763\n4763 1\n1 4764\n4764 1\n1 4765\n4765 1\n1 4766\n4766 1\n1 4767\n4767 1\n1 4768\n4768 1\n1 4769\n4769 1\n1 4770\n4770 1\n1 4771\n4771 1\n1 4772\n4772 1\n1 4773\n4773 1\n1 4774\n4774 1\n1 4775\n4775 1\n1 4776\n4776 1\n1 4777\n4777 1\n1 4778\n4778 1\n1 4779\n4779 1\n1 4780\n4780 1\n1 4781\n4781 1\n1 4782\n4782 1\n1 4783\n4783 1\n1 4784\n4784 1\n1 4785\n4785 1\n1 4786\n4786 1\n1 4787\n4787 1\n1 4788\n4788 1\n1 4789\n4789 1\n1 4790\n4790 1\n1 4791\n4791 1\n1 4792\n4792 1\n1 4793\n4793 1\n1 4794\n4794 1\n1 4795\n4795 1\n1 4796\n4796 1\n1 4797\n4797 1\n1 4798\n4798 1\n1 4799\n4799 1\n1 4800\n4800 1\n1 4801\n4801 1\n1 4802\n4802 1\n1 4803\n4803 1\n1 4804\n4804 1\n1 4805\n4805 1\n1 4806\n4806 1\n1 4807\n4807 1\n1 4808\n4808 1\n1 4809\n4809 1\n1 4810\n4810 1\n1 4811\n4811 1\n1 4812\n4812 1\n1 4813\n4813 1\n1 4814\n4814 1\n1 4815\n4815 1\n1 4816\n4816 1\n1 4817\n4817 1\n1 4818\n4818 1\n1 4819\n4819 1\n1 4820\n4820 1\n1 4821\n4821 1\n1 4822\n4822 1\n1 4823\n4823 1\n1 4824\n4824 1\n1 4825\n4825 1\n1 4826\n4826 1\n1 4827\n4827 1\n1 4828\n4828 1\n1 4829\n4829 1\n1 4830\n4830 1\n1 4831\n4831 1\n1 4832\n4832 1\n1 4833\n4833 1\n1 4834\n4834 1\n1 4835\n4835 1\n1 4836\n4836 1\n1 4837\n4837 1\n1 4838\n4838 1\n1 4839\n4839 1\n1 4840\n4840 1\n1 4841\n4841 1\n1 4842\n4842 1\n1 4843\n4843 1\n1 4844\n4844 1\n1 4845\n4845 1\n1 4846\n4846 1\n1 4847\n4847 1\n1 4848\n4848 1\n1 4849\n4849 1\n1 4850\n4850 1\n1 4851\n4851 1\n1 4852\n4852 1\n1 4853\n4853 1\n1 4854\n4854 1\n1 4855\n4855 1\n1 4856\n4856 1\n1 4857\n4857 1\n1 4858\n4858 1\n1 4859\n4859 1\n1 4860\n4860 1\n1 4861\n4861 1\n1 4862\n4862 1\n1 4863\n4863 1\n1 4864\n4864 1\n1 4865\n4865 1\n1 4866\n4866 1\n1 4867\n4867 1\n1 4868\n4868 1\n1 4869\n4869 1\n1 4870\n4870 1\n1 4871\n4871 1\n1 4872\n4872 1\n1 4873\n4873 1\n1 4874\n4874 1\n1 4875\n4875 1\n1 4876\n4876 1\n1 4877\n4877 1\n1 4878\n4878 1\n1 4879\n4879 1\n1 4880\n4880 1\n1 4881\n4881 1\n1 4882\n4882 1\n1 4883\n4883 1\n1 4884\n4884 1\n1 4885\n4885 1\n1 4886\n4886 1\n1 4887\n4887 1\n1 4888\n4888 1\n1 4889\n4889 1\n1 4890\n4890 1\n1 4891\n4891 1\n1 4892\n4892 1\n1 4893\n4893 1\n1 4894\n4894 1\n1 4895\n4895 1\n1 4896\n4896 1\n1 4897\n4897 1\n1 4898\n4898 1\n1 4899\n4899 1\n1 4900\n4900 1\n1 4901\n4901 1\n1 4902\n4902 1\n1 4903\n4903 1\n1 4904\n4904 1\n1 4905\n4905 1\n1 4906\n4906 1\n1 4907\n4907 1\n1 4908\n4908 1\n1 4909\n4909 1\n1 4910\n4910 1\n1 4911\n4911 1\n1 4912\n4912 1\n1 4913\n4913 1\n1 4914\n4914 1\n1 4915\n4915 1\n1 4916\n4916 1\n1 4917\n4917 1\n1 4918\n4918 1\n1 4919\n4919 1\n1 4920\n4920 1\n1 4921\n4921 1\n1 4922\n4922 1\n1 4923\n4923 1\n1 4924\n4924 1\n1 4925\n4925 1\n1 4926\n4926 1\n1 4927\n4927 1\n1 4928\n4928 1\n1 4929\n4929 1\n1 4930\n4930 1\n1 4931\n4931 1\n1 4932\n4932 1\n1 4933\n4933 1\n1 4934\n4934 1\n1 4935\n4935 1\n1 4936\n4936 1\n1 4937\n4937 1\n1 4938\n4938 1\n1 4939\n4939 1\n1 4940\n4940 1\n1 4941\n4941 1\n1 4942\n4942 1\n1 4943\n4943 1\n1 4944\n4944 1\n1 4945\n4945 1\n1 4946\n4946 1\n1 4947\n4947 1\n1 4948\n4948 1\n1 4949\n4949 1\n1 4950\n4950 1\n1 4951\n4951 1\n1 4952\n4952 1\n1 4953\n4953 1\n1 4954\n4954 1\n1 4955\n4955 1\n1 4956\n4956 1\n1 4957\n4957 1\n1 4958\n4958 1\n1 4959\n4959 1\n1 4960\n4960 1\n1 4961\n4961 1\n1 4962\n4962 1\n1 4963\n4963 1\n1 4964\n4964 1\n1 4965\n4965 1\n1 4966\n4966 1\n1 4967\n4967 1\n1 4968\n4968 1\n1 4969\n4969 1\n1 4970\n4970 1\n1 4971\n4971 1\n1 4972\n4972 1\n1 4973\n4973 1\n1 4974\n4974 1\n1 4975\n4975 1\n1 4976\n4976 1\n1 4977\n4977 1\n1 4978\n4978 1\n1 4979\n4979 1\n1 4980\n4980 1\n1 4981\n4981 1\n1 4982\n4982 1\n1 4983\n4983 1\n1 4984\n4984 1\n1 4985\n4985 1\n1 4986\n4986 1\n1 4987\n4987 1\n1 4988\n4988 1\n1 4989\n4989 1\n1 4990\n4990 1\n1 4991\n4991 1\n1 4992\n4992 1\n1 4993\n4993 1\n1 4994\n4994 1\n1 4995\n4995 1\n1 4996\n4996 1\n1 4997\n4997 1\n1 4998\n4998 1\n1 4999\n4999 1\n1 5000\n5000 1\n1 5001\n5001 1\n1 5002\n5002 1\n1 5003\n5003 1\n1 5004\n5004 1\n1 5005\n5005 1\n1 5006\n5006 1\n1 5007\n5007 1\n1 5008\n5008 1\n1 5009\n5009 1\n1 5010\n5010 1\n1 5011\n5011 1\n1 5012\n5012 1\n1 5013\n5013 1\n1 5014\n5014 1\n1 5015\n5015 1\n1 5016\n5016 1\n1 5017\n5017 1\n1 5018\n5018 1\n1 5019\n5019 1\n1 5020\n5020 1\n1 5021\n5021 1\n1 5022\n5022 1\n1 5023\n5023 1\n1 5024\n5024 1\n1 5025\n5025 1\n1 5026\n5026 1\n1 5027\n5027 1\n1 5028\n5028 1\n1 5029\n5029 1\n1 5030\n5030 1\n1 5031\n5031 1\n1 5032\n5032 1\n1 5033\n5033 1\n1 5034\n5034 1\n1 5035\n5035 1\n1 5036\n5036 1\n1 5037\n5037 1\n1 5038\n5038 1\n1 5039\n5039 1\n1 5040\n5040 1\n1 5041\n5041 1\n1 5042\n5042 1\n1 5043\n5043 1\n1 5044\n5044 1\n1 5045\n5045 1\n1 5046\n5046 1\n1 5047\n5047 1\n1 5048\n5048 1\n1 5049\n5049 1\n1 5050\n5050 1\n1 5051\n5051 1\n1 5052\n5052 1\n1 5053\n5053 1\n1 5054\n5054 1\n1 5055\n5055 1\n1 5056\n5056 1\n1 5057\n5057 1\n1 5058\n5058 1\n1 5059\n5059 1\n1 5060\n5060 1\n1 5061\n5061 1\n1 5062\n5062 1\n1 5063\n5063 1\n1 5064\n5064 1\n1 5065\n5065 1\n1 5066\n5066 1\n1 5067\n5067 1\n1 5068\n5068 1\n1 5069\n5069 1\n1 5070\n5070 1\n1 5071\n5071 1\n1 5072\n5072 1\n1 5073\n5073 1\n1 5074\n5074 1\n1 5075\n5075 1\n1 5076\n5076 1\n1 5077\n5077 1\n1 5078\n5078 1\n1 5079\n5079 1\n1 5080\n5080 1\n1 5081\n5081 1\n1 5082\n5082 1\n1 5083\n5083 1\n1 5084\n5084 1\n1 5085\n5085 1\n1 5086\n5086 1\n1 5087\n5087 1\n1 5088\n5088 1\n1 5089\n5089 1\n1 5090\n5090 1\n1 5091\n5091 1\n1 5092\n5092 1\n1 5093\n5093 1\n1 5094\n5094 1\n1 5095\n5095 1\n1 5096\n5096 1\n1 5097\n5097 1\n1 5098\n5098 1\n1 5099\n5099 1\n1 5100\n5100 1\n1 5101\n5101 1\n1 5102\n5102 1\n1 5103\n5103 1\n1 5104\n5104 1\n1 5105\n5105 1\n1 5106\n5106 1\n1 5107\n5107 1\n1 5108\n5108 1\n1 5109\n5109 1\n1 5110\n5110 1\n1 5111\n5111 1\n1 5112\n5112 1\n1 5113\n5113 1\n1 5114\n5114 1\n1 5115\n5115 1\n1 5116\n5116 1\n1 5117\n5117 1\n1 5118\n5118 1\n1 5119\n5119 1\n1 5120\n5120 1\n1 5121\n5121 1\n1 5122\n5122 1\n1 5123\n5123 1\n1 5124\n5124 1\n1 5125\n5125 1\n1 5126\n5126 1\n1 5127\n5127 1\n1 5128\n5128 1\n1 5129\n5129 1\n1 5130\n5130 1\n1 5131\n5131 1\n1 5132\n5132 1\n1 5133\n5133 1\n1 5134\n5134 1\n1 5135\n5135 1\n1 5136\n5136 1\n1 5137\n5137 1\n1 5138\n5138 1\n1 5139\n5139 1\n1 5140\n5140 1\n1 5141\n5141 1\n1 5142\n5142 1\n1 5143\n5143 1\n1 5144\n5144 1\n1 5145\n5145 1\n1 5146\n5146 1\n1 5147\n5147 1\n1 5148\n5148 1\n1 5149\n5149 1\n1 5150\n5150 1\n1 5151\n5151 1\n1 5152\n5152 1\n1 5153\n5153 1\n1 5154\n5154 1\n1 5155\n5155 1\n1 5156\n5156 1\n1 5157\n5157 1\n1 5158\n5158 1\n1 5159\n5159 1\n1 5160\n5160 1\n1 5161\n5161 1\n1 5162\n5162 1\n1 5163\n5163 1\n1 5164\n5164 1\n1 5165\n5165 1\n1 5166\n5166 1\n1 5167\n5167 1\n1 5168\n5168 1\n1 5169\n5169 1\n1 5170\n5170 1\n1 5171\n5171 1\n1 5172\n5172 1\n1 5173\n5173 1\n1 5174\n5174 1\n1 5175\n5175 1\n1 5176\n5176 1\n1 5177\n5177 1\n1 5178\n5178 1\n1 5179\n5179 1\n1 5180\n5180 1\n1 5181\n5181 1\n1 5182\n5182 1\n1 5183\n5183 1\n1 5184\n5184 1\n1 5185\n5185 1\n1 5186\n5186 1\n1 5187\n5187 1\n1 5188\n5188 1\n1 5189\n5189 1\n1 5190\n5190 1\n1 5191\n5191 1\n1 5192\n5192 1\n1 5193\n5193 1\n1 5194\n5194 1\n1 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5257\n5257 1\n1 5258\n5258 1\n1 5259\n5259 1\n1 5260\n5260 1\n1 5261\n5261 1\n1 5262\n5262 1\n1 5263\n5263 1\n1 5264\n5264 1\n1 5265\n5265 1\n1 5266\n5266 1\n1 5267\n5267 1\n1 5268\n5268 1\n1 5269\n5269 1\n1 5270\n5270 1\n1 5271\n5271 1\n1 5272\n5272 1\n1 5273\n5273 1\n1 5274\n5274 1\n1 5275\n5275 1\n1 5276\n5276 1\n1 5277\n5277 1\n1 5278\n5278 1\n1 5279\n5279 1\n1 5280\n5280 1\n1 5281\n5281 1\n1 5282\n5282 1\n1 5283\n5283 1\n1 5284\n5284 1\n1 5285\n5285 1\n1 5286\n5286 1\n1 5287\n5287 1\n1 5288\n5288 1\n1 5289\n5289 1\n1 5290\n5290 1\n1 5291\n5291 1\n1 5292\n5292 1\n1 5293\n5293 1\n1 5294\n5294 1\n1 5295\n5295 1\n1 5296\n5296 1\n1 5297\n5297 1\n1 5298\n5298 1\n1 5299\n5299 1\n1 5300\n5300 1\n1 5301\n5301 1\n1 5302\n5302 1\n1 5303\n5303 1\n1 5304\n5304 1\n1 5305\n5305 1\n1 5306\n5306 1\n1 5307\n5307 1\n1 5308\n5308 1\n1 5309\n5309 1\n1 5310\n5310 1\n1 5311\n5311 1\n1 5312\n5312 1\n1 5313\n5313 1\n1 5314\n5314 1\n1 5315\n5315 1\n1 5316\n5316 1\n1 5317\n5317 1\n1 5318\n5318 1\n1 5319\n5319 1\n1 5320\n5320 1\n1 5321\n5321 1\n1 5322\n5322 1\n1 5323\n5323 1\n1 5324\n5324 1\n1 5325\n5325 1\n1 5326\n5326 1\n1 5327\n5327 1\n1 5328\n5328 1\n1 5329\n5329 1\n1 5330\n5330 1\n1 5331\n5331 1\n1 5332\n5332 1\n1 5333\n5333 1\n1 5334\n5334 1\n1 5335\n5335 1\n1 5336\n5336 1\n1 5337\n5337 1\n1 5338\n5338 1\n1 5339\n5339 1\n1 5340\n5340 1\n1 5341\n5341 1\n1 5342\n5342 1\n1 5343\n5343 1\n1 5344\n5344 1\n1 5345\n5345 1\n1 5346\n5346 1\n1 5347\n5347 1\n1 5348\n5348 1\n1 5349\n5349 1\n1 5350\n5350 1\n1 5351\n5351 1\n1 5352\n5352 1\n1 5353\n5353 1\n1 5354\n5354 1\n1 5355\n5355 1\n1 5356\n5356 1\n1 5357\n5357 1\n1 5358\n5358 1\n1 5359\n5359 1\n1 5360\n5360 1\n1 5361\n5361 1\n1 5362\n5362 1\n1 5363\n5363 1\n1 5364\n5364 1\n1 5365\n5365 1\n1 5366\n5366 1\n1 5367\n5367 1\n1 5368\n5368 1\n1 5369\n5369 1\n1 5370\n5370 1\n1 5371\n5371 1\n1 5372\n5372 1\n1 5373\n5373 1\n1 5374\n5374 1\n1 5375\n5375 1\n1 5376\n5376 1\n1 5377\n5377 1\n1 5378\n5378 1\n1 5379\n5379 1\n1 5380\n5380 1\n1 5381\n5381 1\n1 5382\n5382 1\n1 5383\n5383 1\n1 5384\n5384 1\n1 5385\n5385 1\n1 5386\n5386 1\n1 5387\n5387 1\n1 5388\n5388 1\n1 5389\n5389 1\n1 5390\n5390 1\n1 5391\n5391 1\n1 5392\n5392 1\n1 5393\n5393 1\n1 5394\n5394 1\n1 5395\n5395 1\n1 5396\n5396 1\n1 5397\n5397 1\n1 5398\n5398 1\n1 5399\n5399 1\n1 5400\n5400 1\n1 5401\n5401 1\n1 5402\n5402 1\n1 5403\n5403 1\n1 5404\n5404 1\n1 5405\n5405 1\n1 5406\n5406 1\n1 5407\n5407 1\n1 5408\n5408 1\n1 5409\n5409 1\n1 5410\n5410 1\n1 5411\n5411 1\n1 5412\n5412 1\n1 5413\n5413 1\n1 5414\n5414 1\n1 5415\n5415 1\n1 5416\n5416 1\n1 5417\n5417 1\n1 5418\n5418 1\n1 5419\n5419 1\n1 5420\n5420 1\n1 5421\n5421 1\n1 5422\n5422 1\n1 5423\n5423 1\n1 5424\n5424 1\n1 5425\n5425 1\n1 5426\n5426 1\n1 5427\n5427 1\n1 5428\n5428 1\n1 5429\n5429 1\n1 5430\n5430 1\n1 5431\n5431 1\n1 5432\n5432 1\n1 5433\n5433 1\n1 5434\n5434 1\n1 5435\n5435 1\n1 5436\n5436 1\n1 5437\n5437 1\n1 5438\n5438 1\n1 5439\n5439 1\n1 5440\n5440 1\n1 5441\n5441 1\n1 5442\n5442 1\n1 5443\n5443 1\n1 5444\n5444 1\n1 5445\n5445 1\n1 5446\n5446 1\n1 5447\n5447 1\n1 5448\n5448 1\n1 5449\n5449 1\n1 5450\n5450 1\n1 5451\n5451 1\n1 5452\n5452 1\n1 5453\n5453 1\n1 5454\n5454 1\n1 5455\n5455 1\n1 5456\n5456 1\n1 5457\n5457 1\n1 5458\n5458 1\n1 5459\n5459 1\n1 5460\n5460 1\n1 5461\n5461 1\n1 5462\n5462 1\n1 5463\n5463 1\n1 5464\n5464 1\n1 5465\n5465 1\n1 5466\n5466 1\n1 5467\n5467 1\n1 5468\n5468 1\n1 5469\n5469 1\n1 5470\n5470 1\n1 5471\n5471 1\n1 5472\n5472 1\n1 5473\n5473 1\n1 5474\n5474 1\n1 5475\n5475 1\n1 5476\n5476 1\n1 5477\n5477 1\n1 5478\n5478 1\n1 5479\n5479 1\n1 5480\n5480 1\n1 5481\n5481 1\n1 5482\n5482 1\n1 5483\n5483 1\n1 5484\n5484 1\n1 5485\n5485 1\n1 5486\n5486 1\n1 5487\n5487 1\n1 5488\n5488 1\n1 5489\n5489 1\n1 5490\n5490 1\n1 5491\n5491 1\n1 5492\n5492 1\n1 5493\n5493 1\n1 5494\n5494 1\n1 5495\n5495 1\n1 5496\n5496 1\n1 5497\n5497 1\n1 5498\n5498 1\n1 5499\n5499 1\n1 5500\n5500 1\n1 5501\n5501 1\n1 5502\n5502 1\n1 5503\n5503 1\n1 5504\n5504 1\n1 5505\n5505 1\n1 5506\n5506 1\n1 5507\n5507 1\n1 5508\n5508 1\n1 5509\n5509 1\n1 5510\n5510 1\n1 5511\n5511 1\n1 5512\n5512 1\n1 5513\n5513 1\n1 5514\n5514 1\n1 5515\n5515 1\n1 5516\n5516 1\n1 5517\n5517 1\n1 5518\n5518 1\n1 5519\n5519 1\n1 5520\n5520 1\n1 5521\n5521 1\n1 5522\n5522 1\n1 5523\n5523 1\n1 5524\n5524 1\n1 5525\n5525 1\n1 5526\n5526 1\n1 5527\n5527 1\n1 5528\n5528 1\n1 5529\n5529 1\n1 5530\n5530 1\n1 5531\n5531 1\n1 5532\n5532 1\n1 5533\n5533 1\n1 5534\n5534 1\n1 5535\n5535 1\n1 5536\n5536 1\n1 5537\n5537 1\n1 5538\n5538 1\n1 5539\n5539 1\n1 5540\n5540 1\n1 5541\n5541 1\n1 5542\n5542 1\n1 5543\n5543 1\n1 5544\n5544 1\n1 5545\n5545 1\n1 5546\n5546 1\n1 5547\n5547 1\n1 5548\n5548 1\n1 5549\n5549 1\n1 5550\n5550 1\n1 5551\n5551 1\n1 5552\n5552 1\n1 5553\n5553 1\n1 5554\n5554 1\n1 5555\n5555 1\n1 5556\n5556 1\n1 5557\n5557 1\n1 5558\n5558 1\n1 5559\n5559 1\n1 5560\n5560 1\n1 5561\n5561 1\n1 5562\n5562 1\n1 5563\n5563 1\n1 5564\n5564 1\n1 5565\n5565 1\n1 5566\n5566 1\n1 5567\n5567 1\n1 5568\n5568 1\n1 5569\n5569 1\n1 5570\n5570 1\n1 5571\n5571 1\n1 5572\n5572 1\n1 5573\n5573 1\n1 5574\n5574 1\n1 5575\n5575 1\n1 5576\n5576 1\n1 5577\n5577 1\n1 5578\n5578 1\n1 5579\n5579 1\n1 5580\n5580 1\n1 5581\n5581 1\n1 5582\n5582 1\n1 5583\n5583 1\n1 5584\n5584 1\n1 5585\n5585 1\n1 5586\n5586 1\n1 5587\n5587 1\n1 5588\n5588 1\n1 5589\n5589 1\n1 5590\n5590 1\n1 5591\n5591 1\n1 5592\n5592 1\n1 5593\n5593 1\n1 5594\n5594 1\n1 5595\n5595 1\n1 5596\n5596 1\n1 5597\n5597 1\n1 5598\n5598 1\n1 5599\n5599 1\n1 5600\n5600 1\n1 5601\n5601 1\n1 5602\n5602 1\n1 5603\n5603 1\n1 5604\n5604 1\n1 5605\n5605 1\n1 5606\n5606 1\n1 5607\n5607 1\n1 5608\n5608 1\n1 5609\n5609 1\n1 5610\n5610 1\n1 5611\n5611 1\n1 5612\n5612 1\n1 5613\n5613 1\n1 5614\n5614 1\n1 5615\n5615 1\n1 5616\n5616 1\n1 5617\n5617 1\n1 5618\n5618 1\n1 5619\n5619 1\n1 5620\n5620 1\n1 5621\n5621 1\n1 5622\n5622 1\n1 5623\n5623 1\n1 5624\n5624 1\n1 5625\n5625 1\n1 5626\n5626 1\n1 5627\n5627 1\n1 5628\n5628 1\n1 5629\n5629 1\n1 5630\n5630 1\n1 5631\n5631 1\n1 5632\n5632 1\n1 5633\n5633 1\n1 5634\n5634 1\n1 5635\n5635 1\n1 5636\n5636 1\n1 5637\n5637 1\n1 5638\n5638 1\n1 5639\n5639 1\n1 5640\n5640 1\n1 5641\n5641 1\n1 5642\n5642 1\n1 5643\n5643 1\n1 5644\n5644 1\n1 5645\n5645 1\n1 5646\n5646 1\n1 5647\n5647 1\n1 5648\n5648 1\n1 5649\n5649 1\n1 5650\n5650 1\n1 5651\n5651 1\n1 5652\n5652 1\n1 5653\n5653 1\n1 5654\n5654 1\n1 5655\n5655 1\n1 5656\n5656 1\n1 5657\n5657 1\n1 5658\n5658 1\n1 5659\n5659 1\n1 5660\n5660 1\n1 5661\n5661 1\n1 5662\n5662 1\n1 5663\n5663 1\n1 5664\n5664 1\n1 5665\n5665 1\n1 5666\n5666 1\n1 5667\n5667 1\n1 5668\n5668 1\n1 5669\n5669 1\n1 5670\n5670 1\n1 5671\n5671 1\n1 5672\n5672 1\n1 5673\n5673 1\n1 5674\n5674 1\n1 5675\n5675 1\n1 5676\n5676 1\n1 5677\n5677 1\n1 5678\n5678 1\n1 5679\n5679 1\n1 5680\n5680 1\n1 5681\n5681 1\n1 5682\n5682 1\n1 5683\n5683 1\n1 5684\n5684 1\n1 5685\n5685 1\n1 5686\n5686 1\n1 5687\n5687 1\n1 5688\n5688 1\n1 5689\n5689 1\n1 5690\n5690 1\n1 5691\n5691 1\n1 5692\n5692 1\n1 5693\n5693 1\n1 5694\n5694 1\n1 5695\n5695 1\n1 5696\n5696 1\n1 5697\n5697 1\n1 5698\n5698 1\n1 5699\n5699 1\n1 5700\n5700 1\n1 5701\n5701 1\n1 5702\n5702 1\n1 5703\n5703 1\n1 5704\n5704 1\n1 5705\n5705 1\n1 5706\n5706 1\n1 5707\n5707 1\n1 5708\n5708 1\n1 5709\n5709 1\n1 5710\n5710 1\n1 5711\n5711 1\n1 5712\n5712 1\n1 5713\n5713 1\n1 5714\n5714 1\n1 5715\n5715 1\n1 5716\n5716 1\n1 5717\n5717 1\n1 5718\n5718 1\n1 5719\n5719 1\n1 5720\n5720 1\n1 5721\n5721 1\n1 5722\n5722 1\n1 5723\n5723 1\n1 5724\n5724 1\n1 5725\n5725 1\n1 5726\n5726 1\n1 5727\n5727 1\n1 5728\n5728 1\n1 5729\n5729 1\n1 5730\n5730 1\n1 5731\n5731 1\n1 5732\n5732 1\n1 5733\n5733 1\n1 5734\n5734 1\n1 5735\n5735 1\n1 5736\n5736 1\n1 5737\n5737 1\n1 5738\n5738 1\n1 5739\n5739 1\n1 5740\n5740 1\n1 5741\n5741 1\n1 5742\n5742 1\n1 5743\n5743 1\n1 5744\n5744 1\n1 5745\n5745 1\n1 5746\n5746 1\n1 5747\n5747 1\n1 5748\n5748 1\n1 5749\n5749 1\n1 5750\n5750 1\n1 5751\n5751 1\n1 5752\n5752 1\n1 5753\n5753 1\n1 5754\n5754 1\n1 5755\n5755 1\n1 5756\n5756 1\n1 5757\n5757 1\n1 5758\n5758 1\n1 5759\n5759 1\n1 5760\n5760 1\n1 5761\n5761 1\n1 5762\n5762 1\n1 5763\n5763 1\n1 5764\n5764 1\n1 5765\n5765 1\n1 5766\n5766 1\n1 5767\n5767 1\n1 5768\n5768 1\n1 5769\n5769 1\n1 5770\n5770 1\n1 5771\n5771 1\n1 5772\n5772 1\n1 5773\n5773 1\n1 5774\n5774 1\n1 5775\n5775 1\n1 5776\n5776 1\n1 5777\n5777 1\n1 5778\n5778 1\n1 5779\n5779 1\n1 5780\n5780 1\n1 5781\n5781 1\n1 5782\n5782 1\n1 5783\n5783 1\n1 5784\n5784 1\n1 5785\n5785 1\n1 5786\n5786 1\n1 5787\n5787 1\n1 5788\n5788 1\n1 5789\n5789 1\n1 5790\n5790 1\n1 5791\n5791 1\n1 5792\n5792 1\n1 5793\n5793 1\n1 5794\n5794 1\n1 5795\n5795 1\n1 5796\n5796 1\n1 5797\n5797 1\n1 5798\n5798 1\n1 5799\n5799 1\n1 5800\n5800 1\n1 5801\n5801 1\n1 5802\n5802 1\n1 5803\n5803 1\n1 5804\n5804 1\n1 5805\n5805 1\n1 5806\n5806 1\n1 5807\n5807 1\n1 5808\n5808 1\n1 5809\n5809 1\n1 5810\n5810 1\n1 5811\n5811 1\n1 5812\n5812 1\n1 5813\n5813 1\n1 5814\n5814 1\n1 5815\n5815 1\n1 5816\n5816 1\n1 5817\n5817 1\n1 5818\n5818 1\n1 5819\n5819 1\n1 5820\n5820 1\n1 5821\n5821 1\n1 5822\n5822 1\n1 5823\n5823 1\n1 5824\n5824 1\n1 5825\n5825 1\n1 5826\n5826 1\n1 5827\n5827 1\n1 5828\n5828 1\n1 5829\n5829 1\n1 5830\n5830 1\n1 5831\n5831 1\n1 5832\n5832 1\n1 5833\n5833 1\n1 5834\n5834 1\n1 5835\n5835 1\n1 5836\n5836 1\n1 5837\n5837 1\n1 5838\n5838 1\n1 5839\n5839 1\n1 5840\n5840 1\n1 5841\n5841 1\n1 5842\n5842 1\n1 5843\n5843 1\n1 5844\n5844 1\n1 5845\n5845 1\n1 5846\n5846 1\n1 5847\n5847 1\n1 5848\n5848 1\n1 5849\n5849 1\n1 5850\n5850 1\n1 5851\n5851 1\n1 5852\n5852 1\n1 5853\n5853 1\n1 5854\n5854 1\n1 5855\n5855 1\n1 5856\n5856 1\n1 5857\n5857 1\n1 5858\n5858 1\n1 5859\n5859 1\n1 5860\n5860 1\n1 5861\n5861 1\n1 5862\n5862 1\n1 5863\n5863 1\n1 5864\n5864 1\n1 5865\n5865 1\n1 5866\n5866 1\n1 5867\n5867 1\n1 5868\n5868 1\n1 5869\n5869 1\n1 5870\n5870 1\n1 5871\n5871 1\n1 5872\n5872 1\n1 5873\n5873 1\n1 5874\n5874 1\n1 5875\n5875 1\n1 5876\n5876 1\n1 5877\n5877 1\n1 5878\n5878 1\n1 5879\n5879 1\n1 5880\n5880 1\n1 5881\n5881 1\n1 5882\n5882 1\n1 5883\n5883 1\n1 5884\n5884 1\n1 5885\n5885 1\n1 5886\n5886 1\n1 5887\n5887 1\n1 5888\n5888 1\n1 5889\n5889 1\n1 5890\n5890 1\n1 5891\n5891 1\n1 5892\n5892 1\n1 5893\n5893 1\n1 5894\n5894 1\n1 5895\n5895 1\n1 5896\n5896 1\n1 5897\n5897 1\n1 5898\n5898 1\n1 5899\n5899 1\n1 5900\n5900 1\n1 5901\n5901 1\n1 5902\n5902 1\n1 5903\n5903 1\n1 5904\n5904 1\n1 5905\n5905 1\n1 5906\n5906 1\n1 5907\n5907 1\n1 5908\n5908 1\n1 5909\n5909 1\n1 5910\n5910 1\n1 5911\n5911 1\n1 5912\n5912 1\n1 5913\n5913 1\n1 5914\n5914 1\n1 5915\n5915 1\n1 5916\n5916 1\n1 5917\n5917 1\n1 5918\n5918 1\n1 5919\n5919 1\n1 5920\n5920 1\n1 5921\n5921 1\n1 5922\n5922 1\n1 5923\n5923 1\n1 5924\n5924 1\n1 5925\n5925 1\n1 5926\n5926 1\n1 5927\n5927 1\n1 5928\n5928 1\n1 5929\n5929 1\n1 5930\n5930 1\n1 5931\n5931 1\n1 5932\n5932 1\n1 5933\n5933 1\n1 5934\n5934 1\n1 5935\n5935 1\n1 5936\n5936 1\n1 5937\n5937 1\n1 5938\n5938 1\n1 5939\n5939 1\n1 5940\n5940 1\n1 5941\n5941 1\n1 5942\n5942 1\n1 5943\n5943 1\n1 5944\n5944 1\n1 5945\n5945 1\n1 5946\n5946 1\n1 5947\n5947 1\n1 5948\n5948 1\n1 5949\n5949 1\n1 5950\n5950 1\n1 5951\n5951 1\n1 5952\n5952 1\n1 5953\n5953 1\n1 5954\n5954 1\n1 5955\n5955 1\n1 5956\n5956 1\n1 5957\n5957 1\n1 5958\n5958 1\n1 5959\n5959 1\n1 5960\n5960 1\n1 5961\n5961 1\n1 5962\n5962 1\n1 5963\n5963 1\n1 5964\n5964 1\n1 5965\n5965 1\n1 5966\n5966 1\n1 5967\n5967 1\n1 5968\n5968 1\n1 5969\n5969 1\n1 5970\n5970 1\n1 5971\n5971 1\n1 5972\n5972 1\n1 5973\n5973 1\n1 5974\n5974 1\n1 5975\n5975 1\n1 5976\n5976 1\n1 5977\n5977 1\n1 5978\n5978 1\n1 5979\n5979 1\n1 5980\n5980 1\n1 5981\n5981 1\n1 5982\n5982 1\n1 5983\n5983 1\n1 5984\n5984 1\n1 5985\n5985 1\n1 5986\n5986 1\n1 5987\n5987 1\n1 5988\n5988 1\n1 5989\n5989 1\n1 5990\n5990 1\n1 5991\n5991 1\n1 5992\n5992 1\n1 5993\n5993 1\n1 5994\n5994 1\n1 5995\n5995 1\n1 5996\n5996 1\n1 5997\n5997 1\n1 5998\n5998 1\n1 5999\n5999 1\n1 6000\n6000 1\n1 6001\n6001 1\n1 6002\n6002 1\n1 6003\n6003 1\n1 6004\n6004 1\n1 6005\n6005 1\n1 6006\n6006 1\n1 6007\n6007 1\n1 6008\n6008 1\n1 6009\n6009 1\n1 6010\n6010 1\n1 6011\n6011 1\n1 6012\n6012 1\n1 6013\n6013 1\n1 6014\n6014 1\n1 6015\n6015 1\n1 6016\n6016 1\n1 6017\n6017 1\n1 6018\n6018 1\n1 6019\n6019 1\n1 6020\n6020 1\n1 6021\n6021 1\n1 6022\n6022 1\n1 6023\n6023 1\n1 6024\n6024 1\n1 6025\n6025 1\n1 6026\n6026 1\n1 6027\n6027 1\n1 6028\n6028 1\n1 6029\n6029 1\n1 6030\n6030 1\n1 6031\n6031 1\n1 6032\n6032 1\n1 6033\n6033 1\n1 6034\n6034 1\n1 6035\n6035 1\n1 6036\n6036 1\n1 6037\n6037 1\n1 6038\n6038 1\n1 6039\n6039 1\n1 6040\n6040 1\n1 6041\n6041 1\n1 6042\n6042 1\n1 6043\n6043 1\n1 6044\n6044 1\n1 6045\n6045 1\n1 6046\n6046 1\n1 6047\n6047 1\n1 6048\n6048 1\n1 6049\n6049 1\n1 6050\n6050 1\n1 6051\n6051 1\n1 6052\n6052 1\n1 6053\n6053 1\n1 6054\n6054 1\n1 6055\n6055 1\n1 6056\n6056 1\n1 6057\n6057 1\n1 6058\n6058 1\n1 6059\n6059 1\n1 6060\n6060 1\n1 6061\n6061 1\n1 6062\n6062 1\n1 6063\n6063 1\n1 6064\n6064 1\n1 6065\n6065 1\n1 6066\n6066 1\n1 6067\n6067 1\n1 6068\n6068 1\n1 6069\n6069 1\n1 6070\n6070 1\n1 6071\n6071 1\n1 6072\n6072 1\n1 6073\n6073 1\n1 6074\n6074 1\n1 6075\n6075 1\n1 6076\n6076 1\n1 6077\n6077 1\n1 6078\n6078 1\n1 6079\n6079 1\n1 6080\n6080 1\n1 6081\n6081 1\n1 6082\n6082 1\n1 6083\n6083 1\n1 6084\n6084 1\n1 6085\n6085 1\n1 6086\n6086 1\n1 6087\n6087 1\n1 6088\n6088 1\n1 6089\n6089 1\n1 6090\n6090 1\n1 6091\n6091 1\n1 6092\n6092 1\n1 6093\n6093 1\n1 6094\n6094 1\n1 6095\n6095 1\n1 6096\n6096 1\n1 6097\n6097 1\n1 6098\n6098 1\n1 6099\n6099 1\n1 6100\n6100 1\n1 6101\n6101 1\n1 6102\n6102 1\n1 6103\n6103 1\n1 6104\n6104 1\n1 6105\n6105 1\n1 6106\n6106 1\n1 6107\n6107 1\n1 6108\n6108 1\n1 6109\n6109 1\n1 6110\n6110 1\n1 6111\n6111 1\n1 6112\n6112 1\n1 6113\n6113 1\n1 6114\n6114 1\n1 6115\n6115 1\n1 6116\n6116 1\n1 6117\n6117 1\n1 6118\n6118 1\n1 6119\n6119 1\n1 6120\n6120 1\n1 6121\n6121 1\n1 6122\n6122 1\n1 6123\n6123 1\n1 6124\n6124 1\n1 6125\n6125 1\n1 6126\n6126 1\n1 6127\n6127 1\n1 6128\n6128 1\n1 6129\n6129 1\n1 6130\n6130 1\n1 6131\n6131 1\n1 6132\n6132 1\n1 6133\n6133 1\n1 6134\n6134 1\n1 6135\n6135 1\n1 6136\n6136 1\n1 6137\n6137 1\n1 6138\n6138 1\n1 6139\n6139 1\n1 6140\n6140 1\n1 6141\n6141 1\n1 6142\n6142 1\n1 6143\n6143 1\n1 6144\n6144 1\n1 6145\n6145 1\n1 6146\n6146 1\n1 6147\n6147 1\n1 6148\n6148 1\n1 6149\n6149 1\n1 6150\n6150 1\n1 6151\n6151 1\n1 6152\n6152 1\n1 6153\n6153 1\n1 6154\n6154 1\n1 6155\n6155 1\n1 6156\n6156 1\n1 6157\n6157 1\n1 6158\n6158 1\n1 6159\n6159 1\n1 6160\n6160 1\n1 6161\n6161 1\n1 6162\n6162 1\n1 6163\n6163 1\n1 6164\n6164 1\n1 6165\n6165 1\n1 6166\n6166 1\n1 6167\n6167 1\n1 6168\n6168 1\n1 6169\n6169 1\n1 6170\n6170 1\n1 6171\n6171 1\n1 6172\n6172 1\n1 6173\n6173 1\n1 6174\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n2 3\n3 2\n2 4\n4 2\n2 5\n5 2\n2 6\n6 2\n2 7\n7 2\n2 8\n8 2\n2 9\n9 2\n2 10\n10 2\n2 11\n11 2\n2 12\n12 2\n2 13\n13 2\n2 14\n14 2\n2 15\n15 2\n2 16\n16 2\n2 17\n17 2\n2 18\n18 2\n2 19\n19 2\n2 20\n20 2\n2 21\n21 2\n2 22\n22 2\n2 23\n23 2\n2 24\n24 2\n2 25\n25 2\n2 26\n26 2\n2 27\n27 2\n2 28\n28 2\n2 29\n29 2\n2 30\n30 2\n2 31\n31 2\n2 32\n32 2\n2 33\n33 2\n2 34\n34 2\n2 35\n35 2\n2 36\n36 2\n2 37\n37 2\n2 38\n38 2\n2 39\n39 2\n2 40\n40 2\n2 41\n41 2\n2 42\n42 2\n2 43\n43 2\n2 44\n44 2\n2 45\n45 2\n2 46\n46 2\n2 47\n47 2\n2 48\n48 2\n2 49\n49 2\n2 50\n50 2\n2 51\n51 2\n2 52\n52 2\n2 53\n53 2\n2 54\n54 2\n2 55\n55 2\n2 56\n56 2\n2 57\n57 2\n2 58\n58 2\n2 59\n59 2\n2 60\n60 2\n2 61\n61 2\n2 62\n62 2\n2 63\n63 2\n2 64\n64 2\n2 65\n65 2\n2 66\n66 2\n2 67\n67 2\n2 68\n68 2\n2 69\n69 2\n2 70\n70 2\n2 71\n71 2\n2 72\n72 2\n2 73\n73 2\n2 74\n74 2\n2 75\n75 2\n2 76\n76 2\n2 77\n77 2\n2 78\n78 2\n2 79\n79 2\n2 80\n80 2\n2 81\n81 2\n2 82\n82 2\n2 83\n83 2\n2 84\n84 2\n2 85\n85 2\n2 86\n86 2\n2 87\n87 2\n2 88\n88 2\n2 89\n89 2\n2 90\n90 2\n2 91\n91 2\n2 92\n92 2\n2 93\n93 2\n2 94\n94 2\n2 95\n95 2\n2 96\n96 2\n2 97\n97 2\n2 98\n98 2\n2 99\n99 2\n2 100\n100 2\n3 4\n4 3\n3 5\n5 3\n3 6\n6 3\n3 7\n7 3\n3 8\n8 3\n3 9\n9 3\n3 10\n10 3\n3 11\n11 3\n3 12\n12 3\n3 13\n13 3\n3 14\n14 3\n3 15\n15 3\n3 16\n16 3\n3 17\n17 3\n3 18\n18 3\n3 19\n19 3\n3 20\n20 3\n3 21\n21 3\n3 22\n22 3\n3 23\n23 3\n3 24\n24 3\n3 25\n25 3\n3 26\n26 3\n3 27\n27 3\n3 28\n28 3\n3 29\n29 3\n3 30\n30 3\n3 31\n31 3\n3 32\n32 3\n3 33\n33 3\n3 34\n34 3\n3 35\n35 3\n3 36\n36 3\n3 37\n37 3\n3 38\n38 3\n3 39\n39 3\n3 40\n40 3\n3 41\n41 3\n3 42\n42 3\n3 43\n43 3\n3 44\n44 3\n3 45\n45 3\n3 46\n46 3\n3 47\n47 3\n3 48\n48 3\n3 49\n49 3\n3 50\n50 3\n3 51\n51 3\n3 52\n52 3\n3 53\n53 3\n3 54\n54 3\n3 55\n55 3\n3 56\n56 3\n3 57\n57 3\n3 58\n58 3\n3 59\n59 3\n3 60\n60 3\n3 61\n61 3\n3 62\n62 3\n3 63\n63 3\n3 64\n64 3\n3 65\n65 3\n3 66\n66 3\n3 67\n67 3\n3 68\n68 3\n3 69\n69 3\n3 70\n70 3\n3 71\n71 3\n3 72\n72 3\n3 73\n73 3\n3 74\n74 3\n3 75\n75 3\n3 76\n76 3\n3 77\n77 3\n3 78\n78 3\n3 79\n79 3\n3 80\n80 3\n3 81\n81 3\n3 82\n82 3\n3 83\n83 3\n3 84\n84 3\n3 85\n85 3\n3 86\n86 3\n3 87\n87 3\n3 88\n88 3\n3 89\n89 3\n3 90\n90 3\n3 91\n91 3\n3 92\n92 3\n3 93\n93 3\n3 94\n94 3\n3 95\n95 3\n3 96\n96 3\n3 97\n97 3\n3 98\n98 3\n3 99\n99 3\n3 100\n100 3\n4 5\n5 4\n4 6\n6 4\n4 7\n7 4\n4 8\n8 4\n4 9\n9 4\n4 10\n10 4\n4 11\n11 4\n4 12\n12 4\n4 13\n13 4\n4 14\n14 4\n4 15\n15 4\n4 16\n16 4\n4 17\n17 4\n4 18\n18 4\n4 19\n19 4\n4 20\n20 4\n4 21\n21 4\n4 22\n22 4\n4 23\n23 4\n4 24\n24 4\n4 25\n25 4\n4 26\n26 4\n4 27\n27 4\n4 28\n28 4\n4 29\n29 4\n4 30\n30 4\n4 31\n31 4\n4 32\n32 4\n4 33\n33 4\n4 34\n34 4\n4 35\n35 4\n4 36\n36 4\n4 37\n37 4\n4 38\n38 4\n4 39\n39 4\n4 40\n40 4\n4 41\n41 4\n4 42\n42 4\n4 43\n43 4\n4 44\n44 4\n4 45\n45 4\n4 46\n46 4\n4 47\n47 4\n4 48\n48 4\n4 49\n49 4\n4 50\n50 4\n4 51\n51 4\n4 52\n52 4\n4 53\n53 4\n4 54\n54 4\n4 55\n55 4\n4 56\n56 4\n4 57\n57 4\n4 58\n58 4\n4 59\n59 4\n4 60\n60 4\n4 61\n61 4\n4 62\n62 4\n4 63\n63 4\n4 64\n64 4\n4 65\n65 4\n4 66\n66 4\n4 67\n67 4\n4 68\n68 4\n4 69\n69 4\n4 70\n70 4\n4 71\n71 4\n4 72\n72 4\n4 73\n73 4\n4 74\n74 4\n4 75\n75 4\n4 76\n76 4\n4 77\n77 4\n4 78\n78 4\n4 79\n79 4\n4 80\n80 4\n4 81\n81 4\n4 82\n82 4\n4 83\n83 4\n4 84\n84 4\n4 85\n85 4\n4 86\n86 4\n4 87\n87 4\n4 88\n88 4\n4 89\n89 4\n4 90\n90 4\n4 91\n91 4\n4 92\n92 4\n4 93\n93 4\n4 94\n94 4\n4 95\n95 4\n4 96\n96 4\n4 97\n97 4\n4 98\n98 4\n4 99\n99 4\n4 100\n100 4\n5 6\n6 5\n5 7\n7 5\n5 8\n8 5\n5 9\n9 5\n5 10\n10 5\n5 11\n11 5\n5 12\n12 5\n5 13\n13 5\n5 14\n14 5\n5 15\n15 5\n5 16\n16 5\n5 17\n17 5\n5 18\n18 5\n5 19\n19 5\n5 20\n20 5\n5 21\n21 5\n5 22\n22 5\n5 23\n23 5\n5 24\n24 5\n5 25\n25 5\n5 26\n26 5\n5 27\n27 5\n5 28\n28 5\n5 29\n29 5\n5 30\n30 5\n5 31\n31 5\n5 32\n32 5\n5 33\n33 5\n5 34\n34 5\n5 35\n35 5\n5 36\n36 5\n5 37\n37 5\n5 38\n38 5\n5 39\n39 5\n5 40\n40 5\n5 41\n41 5\n5 42\n42 5\n5 43\n43 5\n5 44\n44 5\n5 45\n45 5\n5 46\n46 5\n5 47\n47 5\n5 48\n48 5\n5 49\n49 5\n5 50\n50 5\n5 51\n51 5\n5 52\n52 5\n5 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99\n99 9\n9 100\n100 9\n10 11\n11 10\n10 12\n12 10\n10 13\n13 10\n10 14\n14 10\n10 15\n15 10\n10 16\n16 10\n10 17\n17 10\n10 18\n18 10\n10 19\n19 10\n10 20\n20 10\n10 21\n21 10\n10 22\n22 10\n10 23\n23 10\n10 24\n24 10\n10 25\n25 10\n10 26\n26 10\n10 27\n27 10\n10 28\n28 10\n10 29\n29 10\n10 30\n30 10\n10 31\n31 10\n10 32\n32 10\n10 33\n33 10\n10 34\n34 10\n10 35\n35 10\n10 36\n36 10\n10 37\n37 10\n10 38\n38 10\n10 39\n39 10\n10 40\n40 10\n10 41\n41 10\n10 42\n42 10\n10 43\n43 10\n10 44\n44 10\n10 45\n45 10\n10 46\n46 10\n10 47\n47 10\n10 48\n48 10\n10 49\n49 10\n10 50\n50 10\n10 51\n51 10\n10 52\n52 10\n10 53\n53 10\n10 54\n54 10\n10 55\n55 10\n10 56\n56 10\n10 57\n57 10\n10 58\n58 10\n10 59\n59 10\n10 60\n60 10\n10 61\n61 10\n10 62\n62 10\n10 63\n63 10\n10 64\n64 10\n10 65\n65 10\n10 66\n66 10\n10 67\n67 10\n10 68\n68 10\n10 69\n69 10\n10 70\n70 10\n10 71\n71 10\n10 72\n72 10\n10 73\n73 10\n10 74\n74 10\n10 75\n75 10\n10 76\n76 10\n10 77\n77 10\n10 78\n78 10\n10 79\n79 10\n10 80\n80 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72\n72 76\n76 72\n72 77\n77 72\n72 78\n78 72\n72 79\n79 72\n72 80\n80 72\n72 81\n81 72\n72 82\n82 72\n72 83\n83 72\n72 84\n84 72\n72 85\n85 72\n72 86\n86 72\n72 87\n87 72\n72 88\n88 72\n72 89\n89 72\n72 90\n90 72\n72 91\n91 72\n72 92\n92 72\n72 93\n93 72\n72 94\n94 72\n72 95\n95 72\n72 96\n96 72\n72 97\n97 72\n72 98\n98 72\n72 99\n99 72\n72 100\n100 72\n73 74\n74 73\n73 75\n75 73\n73 76\n76 73\n73 77\n77 73\n73 78\n78 73\n73 79\n79 73\n73 80\n80 73\n73 81\n81 73\n73 82\n82 73\n73 83\n83 73\n73 84\n84 73\n73 85\n85 73\n73 86\n86 73\n73 87\n87 73\n73 88\n88 73\n73 89\n89 73\n73 90\n90 73\n73 91\n91 73\n73 92\n92 73\n73 93\n93 73\n73 94\n94 73\n73 95\n95 73\n73 96\n96 73\n73 97\n97 73\n73 98\n98 73\n73 99\n99 73\n73 100\n100 73\n74 75\n75 74\n74 76\n76 74\n74 77\n77 74\n74 78\n78 74\n74 79\n79 74\n74 80\n80 74\n74 81\n81 74\n74 82\n82 74\n74 83\n83 74\n74 84\n84 74\n74 85\n85 74\n74 86\n86 74\n74 87\n87 74\n74 88\n88 74\n74 89\n89 74\n74 90\n90 74\n74 91\n91 74\n74 92\n92 74\n74 93\n93 74\n74 94\n94 74\n74 95\n95 74\n74 96\n96 74\n74 97\n97 74\n74 98\n98 74\n74 99\n99 74\n74 100\n100 74\n75 76\n76 75\n75 77\n77 75\n75 78\n78 75\n75 79\n79 75\n75 80\n80 75\n75 81\n81 75\n75 82\n82 75\n75 83\n83 75\n75 84\n84 75\n75 85\n85 75\n75 86\n86 75\n75 87\n87 75\n75 88\n88 75\n75 89\n89 75\n75 90\n90 75\n75 91\n91 75\n75 92\n92 75\n75 93\n93 75\n75 94\n94 75\n75 95\n95 75\n75 96\n96 75\n75 97\n97 75\n75 98\n98 75\n75 99\n99 75\n75 100\n100 75\n76 77\n77 76\n76 78\n78 76\n76 79\n79 76\n76 80\n80 76\n76 81\n81 76\n76 82\n82 76\n76 83\n83 76\n76 84\n84 76\n76 85\n85 76\n76 86\n86 76\n76 87\n87 76\n76 88\n88 76\n76 89\n89 76\n76 90\n90 76\n76 91\n91 76\n76 92\n92 76\n76 93\n93 76\n76 94\n94 76\n76 95\n95 76\n76 96\n96 76\n76 97\n97 76\n76 98\n98 76\n76 99\n99 76\n76 100\n100 76\n77 78\n78 77\n77 79\n79 77\n77 80\n80 77\n77 81\n81 77\n77 82\n82 77\n77 83\n83 77\n77 84\n84 77\n77 85\n85 77\n77 86\n86 77\n77 87\n87 77\n77 88\n88 77\n77 89\n89 77\n77 90\n90 77\n77 91\n91 77\n77 92\n92 77\n77 93\n93 77\n77 94\n94 77\n77 95\n95 77\n77 96\n96 77\n77 97\n97 77\n77 98\n98 77\n77 99\n99 77\n77 100\n100 77\n78 79\n79 78\n78 80\n80 78\n78 81\n81 78\n78 82\n82 78\n78 83\n83 78\n78 84\n84 78\n78 85\n85 78\n78 86\n86 78\n78 87\n87 78\n78 88\n88 78\n78 89\n89 78\n78 90\n90 78\n78 91\n91 78\n78 92\n92 78\n78 93\n93 78\n78 94\n94 78\n78 95\n95 78\n78 96\n96 78\n78 97\n97 78\n78 98\n98 78\n78 99\n99 78\n78 100\n100 78\n79 80\n80 79\n79 81\n81 79\n79 82\n82 79\n79 83\n83 79\n79 84\n84 79\n79 85\n85 79\n79 86\n86 79\n79 87\n87 79\n79 88\n88 79\n79 89\n89 79\n79 90\n90 79\n79 91\n91 79\n79 92\n92 79\n79 93\n93 79\n79 94\n94 79\n79 95\n95 79\n79 96\n96 79\n79 97\n97 79\n79 98\n98 79\n79 99\n99 79\n79 100\n100 79\n80 81\n81 80\n80 82\n82 80\n80 83\n83 80\n80 84\n84 80\n80 85\n85 80\n80 86\n86 80\n80 87\n87 80\n80 88\n88 80\n80 89\n89 80\n80 90\n90 80\n80 91\n91 80\n80 92\n92 80\n80 93\n93 80\n80 94\n94 80\n80 95\n95 80\n80 96\n96 80\n80 97\n97 80\n80 98\n98 80\n80 99\n99 80\n80 100\n100 80\n81 82\n82 81\n81 83\n83 81\n81 84\n84 81\n81 85\n85 81\n81 86\n86 81\n81 87\n87 81\n81 88\n88 81\n81 89\n89 81\n81 90\n90 81\n81 91\n91 81\n81 92\n92 81\n81 93\n93 81\n81 94\n94 81\n81 95\n95 81\n81 96\n96 81\n81 97\n97 81\n81 98\n98 81\n81 99\n99 81\n81 100\n100 81\n82 83\n83 82\n82 84\n84 82\n82 85\n85 82\n82 86\n86 82\n82 87\n87 82\n82 88\n88 82\n82 89\n89 82\n82 90\n90 82\n82 91\n91 82\n82 92\n92 82\n82 93\n93 82\n82 94\n94 82\n82 95\n95 82\n82 96\n96 82\n82 97\n97 82\n82 98\n98 82\n82 99\n99 82\n82 100\n100 82\n83 84\n84 83\n83 85\n85 83\n83 86\n86 83\n83 87\n87 83\n83 88\n88 83\n83 89\n89 83\n83 90\n90 83\n83 91\n91 83\n83 92\n92 83\n83 93\n93 83\n83 94\n94 83\n83 95\n95 83\n83 96\n96 83\n83 97\n97 83\n83 98\n98 83\n83 99\n99 83\n83 100\n100 83\n84 85\n85 84\n84 86\n86 84\n84 87\n87 84\n84 88\n88 84\n84 89\n89 84\n84 90\n90 84\n84 91\n91 84\n84 92\n92 84\n84 93\n93 84\n84 94\n94 84\n84 95\n95 84\n84 96\n96 84\n84 97\n97 84\n84 98\n98 84\n84 99\n99 84\n84 100\n100 84\n85 86\n86 85\n85 87\n87 85\n85 88\n88 85\n85 89\n89 85\n85 90\n90 85\n85 91\n91 85\n85 92\n92 85\n85 93\n93 85\n85 94\n94 85\n85 95\n95 85\n85 96\n96 85\n85 97\n97 85\n85 98\n98 85\n85 99\n99 85\n85 100\n100 85\n86 87\n87 86\n86 88\n88 86\n86 89\n89 86\n86 90\n90 86\n86 91\n91 86\n86 92\n92 86\n86 93\n93 86\n86 94\n94 86\n86 95\n95 86\n86 96\n96 86\n86 97\n97 86\n86 98\n98 86\n86 99\n99 86\n86 100\n100 86\n87 88\n88 87\n87 89\n89 87\n87 90\n90 87\n87 91\n91 87\n87 92\n92 87\n87 93\n93 87\n87 94\n94 87\n87 95\n95 87\n87 96\n96 87\n87 97\n97 87\n87 98\n98 87\n87 99\n99 87\n87 100\n100 87\n88 89\n89 88\n88 90\n90 88\n88 91\n91 88\n88 92\n92 88\n88 93\n93 88\n88 94\n94 88\n88 95\n95 88\n88 96\n96 88\n88 97\n97 88\n88 98\n98 88\n88 99\n99 88\n88 100\n100 88\n89 90\n90 89\n89 91\n91 89\n89 92\n92 89\n89 93\n93 89\n89 94\n94 89\n89 95\n95 89\n89 96\n96 89\n89 97\n97 89\n89 98\n98 89\n89 99\n99 89\n89 100\n100 89\n90 91\n91 90\n90 92\n92 90\n90 93\n93 90\n90 94\n94 90\n90 95\n95 90\n90 96\n96 90\n90 97\n97 90\n90 98\n98 90\n90 99\n99 90\n90 100\n100 90\n91 92\n92 91\n91 93\n93 91\n91 94\n94 91\n91 95\n95 91\n91 96\n96 91\n91 97\n97 91\n91 98\n98 91\n91 99\n99 91\n91 100\n100 91\n92 93\n93 92\n92 94\n94 92\n92 95\n95 92\n92 96\n96 92\n92 97\n97 92\n92 98\n98 92\n92 99\n99 92\n92 100\n100 92\n93 94\n94 93\n93 95\n95 93\n93 96\n96 93\n93 97\n97 93\n93 98\n98 93\n93 99\n99 93\n93 100\n100 93\n94 95\n95 94\n94 96\n96 94\n94 97\n97 94\n94 98\n98 94\n94 99\n99 94\n94 100\n100 94\n95 96\n96 95\n95 97\n97 95\n95 98\n98 95\n95 99\n99 95\n95 100\n100 95\n96 97\n97 96\n96 98\n98 96\n96 99\n99 96\n96 100\n100 96\n97 98\n98 97\n97 99\n99 97\n97 100\n100 97\n98 99\n99 98\n98 100\n100 98\n99 100\n100 99\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n1 102\n102 1\n1 103\n103 1\n1 104\n104 1\n1 105\n105 1\n1 106\n106 1\n1 107\n107 1\n1 108\n108 1\n1 109\n109 1\n1 110\n110 1\n1 111\n111 1\n1 112\n112 1\n1 113\n113 1\n1 114\n114 1\n1 115\n115 1\n1 116\n116 1\n1 117\n117 1\n1 118\n118 1\n1 119\n119 1\n1 120\n120 1\n1 121\n121 1\n1 122\n122 1\n1 123\n123 1\n1 124\n124 1\n1 125\n125 1\n1 126\n126 1\n1 127\n127 1\n1 128\n128 1\n1 129\n129 1\n1 130\n130 1\n1 131\n131 1\n1 132\n132 1\n1 133\n133 1\n1 134\n134 1\n1 135\n135 1\n1 136\n136 1\n1 137\n137 1\n1 138\n138 1\n1 139\n139 1\n1 140\n140 1\n1 141\n141 1\n1 142\n142 1\n1 143\n143 1\n1 144\n144 1\n1 145\n145 1\n1 146\n146 1\n1 147\n147 1\n1 148\n148 1\n1 149\n149 1\n1 150\n150 1\n1 151\n151 1\n1 152\n152 1\n1 153\n153 1\n1 154\n154 1\n1 155\n155 1\n1 156\n156 1\n1 157\n157 1\n1 158\n158 1\n1 159\n159 1\n1 160\n160 1\n1 161\n161 1\n1 162\n162 1\n1 163\n163 1\n1 164\n164 1\n1 165\n165 1\n1 166\n166 1\n1 167\n167 1\n1 168\n168 1\n1 169\n169 1\n1 170\n170 1\n1 171\n171 1\n1 172\n172 1\n1 173\n173 1\n1 174\n174 1\n1 175\n175 1\n1 176\n176 1\n1 177\n177 1\n1 178\n178 1\n1 179\n179 1\n1 180\n180 1\n1 181\n181 1\n1 182\n182 1\n1 183\n183 1\n1 184\n184 1\n1 185\n185 1\n1 186\n186 1\n1 187\n187 1\n1 188\n188 1\n1 189\n189 1\n1 190\n190 1\n1 191\n191 1\n1 192\n192 1\n1 193\n193 1\n1 194\n194 1\n1 195\n195 1\n1 196\n196 1\n1 197\n197 1\n1 198\n198 1\n1 199\n199 1\n1 200\n200 1\n1 201\n201 1\n1 202\n202 1\n1 203\n203 1\n1 204\n204 1\n1 205\n205 1\n1 206\n206 1\n1 207\n207 1\n1 208\n208 1\n1 209\n209 1\n1 210\n210 1\n1 211\n211 1\n1 212\n212 1\n1 213\n213 1\n1 214\n214 1\n1 215\n215 1\n1 216\n216 1\n1 217\n217 1\n1 218\n218 1\n1 219\n219 1\n1 220\n220 1\n1 221\n221 1\n1 222\n222 1\n1 223\n223 1\n1 224\n224 1\n1 225\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n1 102\n102 1\n1 103\n103 1\n1 104\n104 1\n1 105\n105 1\n1 106\n106 1\n1 107\n107 1\n1 108\n108 1\n1 109\n109 1\n1 110\n110 1\n1 111\n111 1\n1 112\n112 1\n1 113\n113 1\n1 114\n114 1\n1 115\n115 1\n1 116\n116 1\n1 117\n117 1\n1 118\n118 1\n1 119\n119 1\n1 120\n120 1\n1 121\n121 1\n1 122\n122 1\n1 123\n123 1\n1 124\n124 1\n1 125\n125 1\n1 126\n126 1\n1 127\n127 1\n1 128\n128 1\n1 129\n129 1\n1 130\n130 1\n1 131\n131 1\n1 132\n132 1\n1 133\n133 1\n1 134\n134 1\n1 135\n135 1\n1 136\n136 1\n1 137\n137 1\n1 138\n138 1\n1 139\n139 1\n1 140\n140 1\n1 141\n141 1\n1 142\n142 1\n1 143\n143 1\n1 144\n144 1\n1 145\n145 1\n1 146\n146 1\n1 147\n147 1\n1 148\n148 1\n1 149\n149 1\n1 150\n150 1\n1 151\n151 1\n1 152\n152 1\n1 153\n153 1\n1 154\n154 1\n1 155\n155 1\n1 156\n156 1\n1 157\n157 1\n1 158\n158 1\n1 159\n159 1\n1 160\n160 1\n1 161\n161 1\n1 162\n162 1\n1 163\n163 1\n1 164\n164 1\n1 165\n165 1\n1 166\n166 1\n1 167\n167 1\n1 168\n168 1\n1 169\n169 1\n1 170\n170 1\n1 171\n171 1\n1 172\n172 1\n1 173\n173 1\n1 174\n174 1\n1 175\n175 1\n1 176\n176 1\n1 177\n177 1\n1 178\n178 1\n1 179\n179 1\n1 180\n180 1\n1 181\n181 1\n1 182\n182 1\n1 183\n183 1\n1 184\n184 1\n1 185\n185 1\n1 186\n186 1\n1 187\n187 1\n1 188\n188 1\n1 189\n189 1\n1 190\n190 1\n1 191\n191 1\n1 192\n192 1\n1 193\n193 1\n1 194\n194 1\n1 195\n195 1\n1 196\n196 1\n1 197\n197 1\n1 198\n198 1\n1 199\n199 1\n1 200\n200 1\n1 201\n201 1\n1 202\n202 1\n1 203\n203 1\n1 204\n204 1\n1 205\n205 1\n1 206\n206 1\n1 207\n207 1\n1 208\n208 1\n1 209\n209 1\n1 210\n210 1\n1 211\n211 1\n1 212\n212 1\n1 213\n213 1\n1 214\n214 1\n1 215\n215 1\n1 216\n216 1\n1 217\n217 1\n1 218\n218 1\n1 219\n219 1\n1 220\n220 1\n1 221\n221 1\n1 222\n222 1\n1 223\n223 1\n1 224\n224 1\n1 225\n225 1\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n1 102\n102 1\n1 103\n103 1\n1 104\n104 1\n1 105\n105 1\n1 106\n106 1\n1 107\n107 1\n1 108\n108 1\n1 109\n109 1\n1 110\n110 1\n1 111\n111 1\n1 112\n112 1\n1 113\n113 1\n1 114\n114 1\n1 115\n115 1\n1 116\n116 1\n1 117\n117 1\n1 118\n118 1\n1 119\n119 1\n1 120\n120 1\n1 121\n121 1\n1 122\n122 1\n1 123\n123 1\n1 124\n124 1\n1 125\n125 1\n1 126\n126 1\n1 127\n127 1\n1 128\n128 1\n1 129\n129 1\n1 130\n130 1\n1 131\n131 1\n1 132\n132 1\n1 133\n133 1\n1 134\n134 1\n1 135\n135 1\n1 136\n136 1\n1 137\n137 1\n1 138\n138 1\n1 139\n139 1\n1 140\n140 1\n1 141\n141 1\n1 142\n142 1\n1 143\n143 1\n1 144\n144 1\n1 145\n145 1\n1 146\n146 1\n1 147\n147 1\n1 148\n148 1\n1 149\n149 1\n1 150\n150 1\n1 151\n151 1\n1 152\n152 1\n1 153\n153 1\n1 154\n154 1\n1 155\n155 1\n1 156\n156 1\n1 157\n157 1\n1 158\n158 1\n1 159\n159 1\n1 160\n160 1\n1 161\n161 1\n1 162\n162 1\n1 163\n163 1\n1 164\n164 1\n1 165\n165 1\n1 166\n166 1\n1 167\n167 1\n1 168\n168 1\n1 169\n169 1\n1 170\n170 1\n1 171\n171 1\n1 172\n172 1\n1 173\n173 1\n1 174\n174 1\n1 175\n175 1\n1 176\n176 1\n1 177\n177 1\n1 178\n178 1\n1 179\n179 1\n1 180\n180 1\n1 181\n181 1\n1 182\n182 1\n1 183\n183 1\n1 184\n184 1\n1 185\n185 1\n1 186\n186 1\n1 187\n187 1\n1 188\n188 1\n1 189\n189 1\n1 190\n190 1\n1 191\n191 1\n1 192\n192 1\n1 193\n193 1\n1 194\n194 1\n1 195\n195 1\n1 196\n196 1\n1 197\n197 1\n1 198\n198 1\n1 199\n199 1\n1 200\n200 1\n1 201\n201 1\n1 202\n202 1\n1 203\n203 1\n1 204\n204 1\n1 205\n205 1\n1 206\n206 1\n1 207\n207 1\n1 208\n208 1\n1 209\n209 1\n1 210\n210 1\n1 211\n211 1\n1 212\n212 1\n1 213\n213 1\n1 214\n214 1\n1 215\n215 1\n1 216\n216 1\n1 217\n217 1\n1 218\n218 1\n1 219\n219 1\n1 220\n220 1\n1 221\n221 1\n1 222\n222 1\n1 223\n223 1\n1 224\n224 1\n1 225\n225 1\n1 226\n226 1\n1 227\n227 1\n1 228\n228 1\n1 229\n229 1\n1 230\n230 1\n1 231\n231 1\n1 232\n232 1\n1 233\n233 1\n1 234\n234 1\n1 235\n235 1\n1 236\n236 1\n1 237\n237 1\n1 238\n238 1\n1 239\n239 1\n1 240\n240 1\n1 241\n241 1\n1 242\n242 1\n1 243\n243 1\n1 244\n244 1\n1 245\n245 1\n1 246\n246 1\n1 247\n247 1\n1 248\n248 1\n1 249\n249 1\n1 250\n250 1\n1 251\n251 1\n1 252\n252 1\n1 253\n253 1\n1 254\n254 1\n1 255\n255 1\n1 256\n256 1\n1 257\n257 1\n1 258\n258 1\n1 259\n259 1\n1 260\n260 1\n1 261\n261 1\n1 262\n262 1\n1 263\n263 1\n1 264\n264 1\n1 265\n265 1\n1 266\n266 1\n1 267\n267 1\n1 268\n268 1\n1 269\n269 1\n1 270\n270 1\n1 271\n271 1\n1 272\n272 1\n1 273\n273 1\n1 274\n274 1\n1 275\n275 1\n1 276\n276 1\n1 277\n277 1\n1 278\n278 1\n1 279\n279 1\n1 280\n280 1\n1 281\n281 1\n1 282\n282 1\n1 283\n283 1\n1 284\n284 1\n1 285\n285 1\n1 286\n286 1\n1 287\n287 1\n1 288\n288 1\n1 289\n289 1\n1 290\n290 1\n1 291\n291 1\n1 292\n292 1\n1 293\n293 1\n1 294\n294 1\n1 295\n295 1\n1 296\n296 1\n1 297\n297 1\n1 298\n298 1\n1 299\n299 1\n1 300\n300 1\n1 301\n301 1\n1 302\n302 1\n1 303\n303 1\n1 304\n304 1\n1 305\n305 1\n1 306\n306 1\n1 307\n307 1\n1 308\n308 1\n1 309\n309 1\n1 310\n310 1\n1 311\n311 1\n1 312\n312 1\n1 313\n313 1\n1 314\n314 1\n1 315\n315 1\n1 316\n316 1\n1 317\n317 1\n1 318\n318 1\n1 319\n319 1\n1 320\n320 1\n1 321\n321 1\n1 322\n322 1\n1 323\n323 1\n1 324\n324 1\n1 325\n325 1\n1 326\n326 1\n1 327\n327 1\n1 328\n328 1\n1 329\n329 1\n1 330\n330 1\n1 331\n331 1\n1 332\n332 1\n1 333\n333 1\n1 334\n334 1\n1 335\n335 1\n1 336\n336 1\n1 337\n337 1\n1 338\n338 1\n1 339\n339 1\n1 340\n340 1\n1 341\n341 1\n1 342\n342 1\n1 343\n343 1\n1 344\n344 1\n1 345\n345 1\n1 346\n346 1\n1 347\n347 1\n1 348\n348 1\n1 349\n349 1\n1 350\n350 1\n1 351\n351 1\n1 352\n352 1\n1 353\n353 1\n1 354\n354 1\n1 355\n355 1\n1 356\n356 1\n1 357\n357 1\n1 358\n358 1\n1 359\n359 1\n1 360\n360 1\n1 361\n361 1\n1 362\n362 1\n1 363\n363 1\n1 364\n364 1\n1 365\n365 1\n1 366\n366 1\n1 367\n367 1\n1 368\n368 1\n1 369\n369 1\n1 370\n370 1\n1 371\n371 1\n1 372\n372 1\n1 373\n373 1\n1 374\n374 1\n1 375\n375 1\n1 376\n376 1\n1 377\n377 1\n1 378\n378 1\n1 379\n379 1\n1 380\n380 1\n1 381\n381 1\n1 382\n382 1\n1 383\n383 1\n1 384\n384 1\n1 385\n385 1\n1 386\n386 1\n1 387\n387 1\n1 388\n388 1\n1 389\n389 1\n1 390\n390 1\n1 391\n391 1\n1 392\n392 1\n1 393\n393 1\n1 394\n394 1\n1 395\n395 1\n1 396\n396 1\n1 397\n397 1\n1 398\n398 1\n1 399\n399 1\n1 400\n400 1\n1 401\n401 1\n1 402\n402 1\n1 403\n403 1\n1 404\n404 1\n1 405\n405 1\n1 406\n406 1\n1 407\n407 1\n1 408\n408 1\n1 409\n409 1\n1 410\n410 1\n1 411\n411 1\n1 412\n412 1\n1 413\n413 1\n1 414\n414 1\n1 415\n415 1\n1 416\n416 1\n1 417\n417 1\n1 418\n418 1\n1 419\n419 1\n1 420\n420 1\n1 421\n421 1\n1 422\n422 1\n1 423\n423 1\n1 424\n424 1\n1 425\n425 1\n1 426\n426 1\n1 427\n427 1\n1 428\n428 1\n1 429\n429 1\n1 430\n430 1\n1 431\n431 1\n1 432\n432 1\n1 433\n433 1\n1 434\n434 1\n1 435\n435 1\n1 436\n436 1\n1 437\n437 1\n1 438\n438 1\n1 439\n439 1\n1 440\n440 1\n1 441\n441 1\n1 442\n442 1\n1 443\n443 1\n1 444\n444 1\n1 445\n445 1\n1 446\n446 1\n1 447\n447 1\n2 3\n3 2\n", "YES\n1 2\n2 1\n1 3\n3 1\n1 4\n4 1\n1 5\n5 1\n1 6\n6 1\n1 7\n7 1\n1 8\n8 1\n1 9\n9 1\n1 10\n10 1\n1 11\n11 1\n1 12\n12 1\n1 13\n13 1\n1 14\n14 1\n1 15\n15 1\n1 16\n16 1\n1 17\n17 1\n1 18\n18 1\n1 19\n19 1\n1 20\n20 1\n1 21\n21 1\n1 22\n22 1\n1 23\n23 1\n1 24\n24 1\n1 25\n25 1\n1 26\n26 1\n1 27\n27 1\n1 28\n28 1\n1 29\n29 1\n1 30\n30 1\n1 31\n31 1\n1 32\n32 1\n1 33\n33 1\n1 34\n34 1\n1 35\n35 1\n1 36\n36 1\n1 37\n37 1\n1 38\n38 1\n1 39\n39 1\n1 40\n40 1\n1 41\n41 1\n1 42\n42 1\n1 43\n43 1\n1 44\n44 1\n1 45\n45 1\n1 46\n46 1\n1 47\n47 1\n1 48\n48 1\n1 49\n49 1\n1 50\n50 1\n1 51\n51 1\n1 52\n52 1\n1 53\n53 1\n1 54\n54 1\n1 55\n55 1\n1 56\n56 1\n1 57\n57 1\n1 58\n58 1\n1 59\n59 1\n1 60\n60 1\n1 61\n61 1\n1 62\n62 1\n1 63\n63 1\n1 64\n64 1\n1 65\n65 1\n1 66\n66 1\n1 67\n67 1\n1 68\n68 1\n1 69\n69 1\n1 70\n70 1\n1 71\n71 1\n1 72\n72 1\n1 73\n73 1\n1 74\n74 1\n1 75\n75 1\n1 76\n76 1\n1 77\n77 1\n1 78\n78 1\n1 79\n79 1\n1 80\n80 1\n1 81\n81 1\n1 82\n82 1\n1 83\n83 1\n1 84\n84 1\n1 85\n85 1\n1 86\n86 1\n1 87\n87 1\n1 88\n88 1\n1 89\n89 1\n1 90\n90 1\n1 91\n91 1\n1 92\n92 1\n1 93\n93 1\n1 94\n94 1\n1 95\n95 1\n1 96\n96 1\n1 97\n97 1\n1 98\n98 1\n1 99\n99 1\n1 100\n100 1\n1 101\n101 1\n1 102\n102 1\n1 103\n103 1\n1 104\n104 1\n1 105\n105 1\n1 106\n106 1\n1 107\n107 1\n1 108\n108 1\n1 109\n109 1\n1 110\n110 1\n1 111\n111 1\n1 112\n112 1\n1 113\n113 1\n1 114\n114 1\n1 115\n115 1\n1 116\n116 1\n1 117\n117 1\n1 118\n118 1\n1 119\n119 1\n1 120\n120 1\n1 121\n121 1\n1 122\n122 1\n1 123\n123 1\n1 124\n124 1\n1 125\n125 1\n1 126\n126 1\n1 127\n127 1\n1 128\n128 1\n1 129\n129 1\n1 130\n130 1\n1 131\n131 1\n1 132\n132 1\n1 133\n133 1\n1 134\n134 1\n1 135\n135 1\n1 136\n136 1\n1 137\n137 1\n1 138\n138 1\n1 139\n139 1\n1 140\n140 1\n1 141\n141 1\n1 142\n142 1\n1 143\n143 1\n1 144\n144 1\n1 145\n145 1\n1 146\n146 1\n1 147\n147 1\n1 148\n148 1\n1 149\n149 1\n1 150\n150 1\n1 151\n151 1\n1 152\n152 1\n1 153\n153 1\n1 154\n154 1\n1 155\n155 1\n1 156\n156 1\n1 157\n157 1\n1 158\n158 1\n1 159\n159 1\n1 160\n160 1\n1 161\n161 1\n1 162\n162 1\n1 163\n163 1\n1 164\n164 1\n1 165\n165 1\n1 166\n166 1\n1 167\n167 1\n1 168\n168 1\n1 169\n169 1\n1 170\n170 1\n1 171\n171 1\n1 172\n172 1\n1 173\n173 1\n1 174\n174 1\n1 175\n175 1\n1 176\n176 1\n1 177\n177 1\n1 178\n178 1\n1 179\n179 1\n1 180\n180 1\n1 181\n181 1\n1 182\n182 1\n1 183\n183 1\n1 184\n184 1\n1 185\n185 1\n1 186\n186 1\n1 187\n187 1\n1 188\n188 1\n1 189\n189 1\n1 190\n190 1\n1 191\n191 1\n1 192\n192 1\n1 193\n193 1\n1 194\n194 1\n1 195\n195 1\n1 196\n196 1\n1 197\n197 1\n1 198\n198 1\n1 199\n199 1\n1 200\n200 1\n2 3\n3 2\n", "YES\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76...", "YES\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76...", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: The king of Berland organizes a ball! n pair are invited to the ball, they are numbered from 1 to n. Each pair consists of one man and one woman. Each dancer (either man or woman) has a monochrome costume. The color of each costume is represented by an integer from 1 to k, inclusive. Let b_i be the color of the man's costume and g_i be the color of the woman's costume in the i-th pair. You have to choose a color for each dancer's costume (i.e. values b_1, b_2, ..., b_n and g_1, g_2, ... g_n) in such a way that: 1. for every i: b_i and g_i are integers between 1 and k, inclusive; 2. there are no two completely identical pairs, i.e. no two indices i, j (i ≠ j) such that b_i = b_j and g_i = g_j at the same time; 3. there is no pair such that the color of the man's costume is the same as the color of the woman's costume in this pair, i.e. b_i ≠ g_i for every i; 4. for each two consecutive (adjacent) pairs both man's costume colors and woman's costume colors differ, i.e. for every i from 1 to n-1 the conditions b_i ≠ b_{i + 1} and g_i ≠ g_{i + 1} hold. Let's take a look at the examples of bad and good color choosing (for n=4 and k=3, man is the first in a pair and woman is the second): Bad color choosing: * (1, 2), (2, 3), (3, 2), (1, 2) — contradiction with the second rule (there are equal pairs); * (2, 3), (1, 1), (3, 2), (1, 3) — contradiction with the third rule (there is a pair with costumes of the same color); * (1, 2), (2, 3), (1, 3), (2, 1) — contradiction with the fourth rule (there are two consecutive pairs such that colors of costumes of men/women are the same). Good color choosing: * (1, 2), (2, 1), (1, 3), (3, 1); * (1, 2), (3, 1), (2, 3), (3, 2); * (3, 1), (1, 2), (2, 3), (3, 2). You have to find any suitable color choosing or say that no suitable choosing exists. Input The only line of the input contains two integers n and k (2 ≤ n, k ≤ 2 ⋅ 10^5) — the number of pairs and the number of colors. Output If it is impossible to find any suitable colors choosing, print "NO". Otherwise print "YES" and then the colors of the costumes of pairs in the next n lines. The i-th line should contain two integers b_i and g_i — colors of costumes of man and woman in the i-th pair, respectively. You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable. Examples Input 4 3 Output YES 3 1 1 3 3 2 2 3 Input 10 4 Output YES 2 1 1 3 4 2 3 4 4 3 3 2 2 4 4 1 1 4 3 1 Input 13 4 Output NO ### Input: 4 3 ### Output: YES 1 2 2 1 1 3 3 1 ### Input: 13 4 ### Output: NO ### Code: n,k=map(int,input().split()) if(n>(k*(k-1))): print('NO') else: ans=[0 for i in range(n)] for i in range(len(ans)): ans[i]=(i+1)%k if(ans[i]==0): ans[i]=k count=1 temp=[0 for i in range(len(ans))] for i in range(len(ans)): if(i%k==0): temp[i]=count+1 count+=1 else: temp[i]=temp[i-1]+1 if(temp[i]>k): temp[i]%=k print('YES') for i in range(n): print(ans[i],temp[i])
1145_B. Kanban Numbers_34542
Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES
import math k = ['', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine', 'ten', 'eleven', 'twelve', 'thirteen', 'fourteen', 'fifteen', 'sixteen', 'seventeen', 'eighteen', 'nineteen'] n = ['', '', 'twenty', 'thirty', 'forty', 'fifty', 'sixty', 'seventy', 'eighty', 'ninety'] a = int(input()) if a < 20: a = k[a] else: a = n[a // 10]+k[a % 10] b = 'k' in a or 'a' in a or 'n' in a print('NO' if b else 'YES')
{ "input": [ "5\n", "13\n", "24\n", "46\n", "10\n", "43\n", "11\n", "75\n", "4\n", "20\n", "30\n", "2\n", "12\n", "35\n", "49\n", "3\n", "37\n", "52\n", "99\n", "41\n", "64\n", "1\n", "86\n", "16\n", "28\n", "011\n", "010\n" ], "output": [ "YES", "NO", "NO", "YES", "NO", "YES", "NO", "NO", "YES", "NO", "YES", "YES", "YES", "YES", "NO", "YES", "NO", "YES", "NO", "NO", "YES", "NO", "YES", "NO", "NO", "NO\n", "NO\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES ### Input: 5 ### Output: YES ### Input: 13 ### Output: NO ### Code: import math k = ['', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine', 'ten', 'eleven', 'twelve', 'thirteen', 'fourteen', 'fifteen', 'sixteen', 'seventeen', 'eighteen', 'nineteen'] n = ['', '', 'twenty', 'thirty', 'forty', 'fifty', 'sixty', 'seventy', 'eighty', 'ninety'] a = int(input()) if a < 20: a = k[a] else: a = n[a // 10]+k[a % 10] b = 'k' in a or 'a' in a or 'n' in a print('NO' if b else 'YES')
1166_A. Silent Classroom_34546
There are n students in the first grade of Nlogonia high school. The principal wishes to split the students into two classrooms (each student must be in exactly one of the classrooms). Two distinct students whose name starts with the same letter will be chatty if they are put in the same classroom (because they must have a lot in common). Let x be the number of such pairs of students in a split. Pairs (a, b) and (b, a) are the same and counted only once. For example, if there are 6 students: "olivia", "jacob", "tanya", "jack", "oliver" and "jessica", then: * splitting into two classrooms ("jack", "jacob", "jessica", "tanya") and ("olivia", "oliver") will give x=4 (3 chatting pairs in the first classroom, 1 chatting pair in the second classroom), * splitting into two classrooms ("jack", "tanya", "olivia") and ("jessica", "oliver", "jacob") will give x=1 (0 chatting pairs in the first classroom, 1 chatting pair in the second classroom). You are given the list of the n names. What is the minimum x we can obtain by splitting the students into classrooms? Note that it is valid to place all of the students in one of the classrooms, leaving the other one empty. Input The first line contains a single integer n (1≤ n ≤ 100) — the number of students. After this n lines follow. The i-th line contains the name of the i-th student. It is guaranteed each name is a string of lowercase English letters of length at most 20. Note that multiple students may share the same name. Output The output must consist of a single integer x — the minimum possible number of chatty pairs. Examples Input 4 jorge jose oscar jerry Output 1 Input 7 kambei gorobei shichiroji kyuzo heihachi katsushiro kikuchiyo Output 2 Input 5 mike mike mike mike mike Output 4 Note In the first sample the minimum number of pairs is 1. This can be achieved, for example, by putting everyone except jose in one classroom, and jose in the other, so jorge and jerry form the only chatty pair. In the second sample the minimum number of pairs is 2. This can be achieved, for example, by putting kambei, gorobei, shichiroji and kyuzo in one room and putting heihachi, katsushiro and kikuchiyo in the other room. In this case the two pairs are kambei and kyuzo, and katsushiro and kikuchiyo. In the third sample the minimum number of pairs is 4. This can be achieved by placing three of the students named mike in one classroom and the other two students in another classroom. Thus there will be three chatty pairs in one classroom and one chatty pair in the other classroom.
n = int(input()) l = [] se = set() for _ in range(n): st = input() s = st[0:1] l.append(s) se.add(s) su = 0 for s in se: c = l.count(s) if c>1: x = c//2 y = c-x su += ((x*(x-1))+(y*(y-1)))//2 print(su)
{ "input": [ "7\nkambei\ngorobei\nshichiroji\nkyuzo\nheihachi\nkatsushiro\nkikuchiyo\n", "4\njorge\njose\noscar\njerry\n", "5\nmike\nmike\nmike\nmike\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvyqppaq\nmfnqko\nysxyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctsja\nyvxpeybbh\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbsmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngjewi\ndzonunipvwclfwfngx\niwu\nzafueotqtrbntjy\nnvp\n", "20\nmrkbifiedu\nmohaektjox\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjvgj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwabzf\nmjzeoxrui\ngctsja\nmvxpeybbh\n", "6\nyou\nare\na\nvery\ncurious\nindividual\n", "100\nm\ng\nm\nm\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "1\nnrkbi\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijvxpeybbhrezjuajkkp\njdqriujmuvcvphlcsxfm\nykwqjokeljlnyqpirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmsmnbq\ngzewloxwkwjrexgyiuwn\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkogvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxruiebctsjal\nvxpeybbhrezjuajkkp\nedqriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozewloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nmrkbifiedu\nmohaektjox\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvyqppaq\nmfnqko\nysxyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nyvxpeybbh\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbsmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngjewi\ndzonunipvwclfwfngx\nhwu\nzafueotqtrbntjy\nnvp\n", "20\nmrkbifiedu\nmohaektjox\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjvgj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwabzf\nmjzeoxrui\najstcg\nmvxpeybbh\n", "100\nm\ng\nm\nm\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijvxpeybehrbzjuajkkp\njdqriujmuvcvphlcsxfm\nykwqjokeljlnyqpirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmsmnbq\ngzewloxwkwjrexgyiuwn\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkogvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxrjiebctsual\nvxpeybbhrezjuajkkp\nedqriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozewloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "4\njorge\njote\noscar\njerry\n", "100\nm\ng\nm\nm\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nm\ng\nm\ng\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "100\nm\ng\nm\nm\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nm\ng\nm\nh\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "20\nirkbmfiedu\nmohaektjpx\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjvgj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwabzf\nmjzeoxruj\najstcg\nmvxpeybbh\n", "100\nm\ng\nm\nm\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nl\ng\nm\nh\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\ng\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "100\nm\ng\nm\nm\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nl\ng\nm\nh\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\nh\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvxqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nhbbyeoxvy\n", "100\nm\ng\nm\nn\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nl\ng\nm\nh\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\nh\nm\ng\ng\ng\ng\nm\ng\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijkxpeybehrbzjuajvkp\njdqriujmuvcuphlcsxfm\nykwqjokeljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmslnbq\nnwuiygxerjwkwxolwezg\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nirkbmfiedu\nmohaektjpx\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjugj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwfbza\nmjzeoxruj\ngjstca\nmvxpeybbh\n", "100\nm\ng\nm\nn\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\ng\nm\nm\nl\ng\nm\nh\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\nh\nm\ng\ng\ng\ng\nm\nh\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "100\nm\ng\nm\nn\nm\ng\ng\nm\ng\nm\ng\ng\ng\nm\ng\ng\nf\nm\nm\nl\ng\nm\nh\ng\ng\nn\ng\ng\ng\ng\nm\ng\nf\nm\ng\ng\nm\nm\ng\nm\nm\nm\ng\ng\ng\ng\nm\nm\nm\nm\nm\ng\ng\ng\nm\nm\nm\nm\ng\ng\ng\nm\ng\nm\nm\ng\ng\nh\nm\ng\ng\ng\ng\nm\nh\ng\nm\ng\ng\ng\nm\ng\nm\nm\nm\nm\ng\ng\ng\ng\ng\nm\nm\ng\ng\nm\ng\nm\nm\nm\n", "6\nyou\nare\na\nverz\ncurious\nindividual\n", "1\nibkrn\n", "5\nmrkbifiedu\nmohaektjox\ngxgzhhkwfp\nmmfsrvzr\nmjkvyqppaq\n", "7\nkabmei\ngorobei\nshichiroji\nkyuzo\nheihachi\nkatsushiro\nkikuchiyo\n", "5\nmike\nmike\nmike\nekim\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvyqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nyvxpeybbh\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbsmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngjewi\nxgnfwflcwvpinunozd\nhwu\nzafueotqtrbntjy\nnvp\n", "20\nmrkbifiedu\nmohaektjox\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjvgj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwabzf\nmjzeoxruj\najstcg\nmvxpeybbh\n", "6\nyou\nare\na\nverz\ncuriour\nindividual\n", "1\nnrkbh\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijvxpeybehrbzjuajkkp\njdqriujmuvcvphlcsxfm\nykwqjokeljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmsmnbq\ngzewloxwkwjrexgyiuwn\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkogvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxrjiebctsual\nvxpeybbhrezjuajkkp\nedqriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozdwloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nudeifibkrm\nmohaektjox\ngxgzhhkwfp\nmmfsrvzr\nmjkvyqppaq\n", "7\nkabmei\ngorobei\nshichiroji\nkyuzo\nheihachi\nkatsushiro\nkikuchjyo\n", "4\njorge\njtoe\noscar\njerry\n", "5\nmike\nmike\nmije\nekim\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvyqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nyvxoeybbh\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbsmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngiewi\nxgnfwflcwvpinunozd\nhwu\nzafueotqtrbntjy\nnvp\n", "20\nmrkbifiedu\nmohaektjpx\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjvgj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwabzf\nmjzeoxruj\najstcg\nmvxpeybbh\n", "6\nyou\nare\na\nrevz\ncuriour\nindividual\n", "1\nhbkrn\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijvxpeybehrbzjuajkkp\njdqriujmuvcvphlcsxfm\nykwqjokeljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmslnbq\ngzewloxwkwjrexgyiuwn\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkohvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxrjiebctsual\nvxpeybbhrezjuajkkp\nedqriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozdwloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nudeifibkrm\nmohaektjox\ngxgzhhkwfp\nmmvsrfzr\nmjkvyqppaq\n", "7\nkabmei\ngorobei\nshichiroji\nkyuzo\nheihachi\nkatsushiro\noyjhcukik\n", "4\njorge\njtne\noscar\njerry\n", "5\neikm\nmike\nmije\nekim\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvxqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nyvxoeybbh\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbsmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngievi\nxgnfwflcwvpinunozd\nhwu\nzafueotqtrbntjy\nnvp\n", "6\nyou\nare\na\nrevz\nduriour\nindividual\n", "1\nhbkro\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijvxpeybehrbzjuajkkp\njdqriujmuvcuphlcsxfm\nykwqjokeljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmslnbq\ngzewloxwkwjrexgyiuwn\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkohvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxrjiebctsual\nvxpeybbhrezjuajkkp\nedpriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozdwloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nudeifibkrm\nxojtkeahom\ngxgzhhkwfp\nmmvsrfzr\nmjkvyqppaq\n", "7\nkabmei\ngorobei\nshichiroji\nkyvzo\nheihachi\nkatsushiro\noyjhcukik\n", "4\njorge\nktne\noscar\njerry\n", "5\neikm\nmike\nejim\nekim\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvxqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngusza\ngeotqtrb\ngjytnvppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nyvxoeybbh\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbsmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngveii\nxgnfwflcwvpinunozd\nhwu\nzafueotqtrbntjy\nnvp\n", "20\nirkbmfiedu\nmohaektjpx\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjvgj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwfbza\nmjzeoxruj\najstcg\nmvxpeybbh\n", "6\nyou\nare\na\nrevz\nruoirud\nindividual\n", "1\norkbh\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijkxpeybehrbzjuajvkp\njdqriujmuvcuphlcsxfm\nykwqjokeljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmslnbq\ngzewloxwkwjrexgyiuwn\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkohvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxljiebctsuar\nvxpeybbhrezjuajkkp\nedpriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozdwloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nudeifibkrm\nxojtkeahom\ngxgzhhkwfp\nmmvsrfzr\nmikvyqppaq\n", "7\nkabmei\nogrobei\nshichiroji\nkyvzo\nheihachi\nkatsushiro\noyjhcukik\n", "4\njorge\nktne\noscar\njfrry\n", "5\nmkie\nmike\nejim\nekim\nmike\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbtmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngveii\nxgnfwflcwvpinunozd\nhwu\nzafueotqtrbntjy\nnvp\n", "20\nirkbmfiedu\nmohaektjpx\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjugj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwfbza\nmjzeoxruj\najstcg\nmvxpeybbh\n", "6\nyou\nare\na\nrevy\nruoirud\nindividual\n", "1\norlbh\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkohvsxyphjvgje\nixdzonunipvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxljiebctsuar\nvxpeybbhrezjuajkkp\nedpriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozdvloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nudeifibkrm\nmohaektjox\ngxgzhhkwfp\nmmvsrfzr\nmikvyqppaq\n", "7\nkabmei\nogrobei\nshichiroji\nkyvzo\nheiiachi\nkatsushiro\noyjhcukik\n", "4\negroj\nktne\noscar\njfrry\n", "5\nmkie\nmike\nejim\nkeim\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvxqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytovppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrui\ngctska\nhbbyeoxvy\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbtmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngveii\nxgnfwflcwvpinunozd\nhuw\nzafueotqtrbntjy\nnvp\n", "6\nuoy\nare\na\nrevy\nruoirud\nindividual\n", "1\norlah\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijkxpeybehrbzjuajvkp\njdqriujmuvcuphlcsxfm\nykwqjokeljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmslnbq\nnkuiygxerjwwwxolwezg\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n", "20\nnrkbifiedubnohaekt\noxyzxghhzkwfpbsm\nsrvzrywjkvyqppaqot\nnqkohvsxyphjvgje\nixdzonunhpvwcl\nwfngxaiwutzaf\neotqtrbntjytnvpp\ngyyllmkvnotpbafc\nwsufccigsktwabzfmh\nzeoxljiebctsuar\nvxpeybbhrezjuajkkp\nedpriujmuvc\nphlcsxfmrikw\njokeljlnyq\nirlvpahhcczukakwarzz\noccimzwmygnzejmxmo\nsmsmnbqmozdvloxwk\njrexgyiuwntaacxc\nwuwbvioohpndwmnfmk\nihzucgjorhpukjj\n", "5\nudeifibkrm\nmohaektjox\ngxgzhhkwfp\nmmvsrfzr\nmakvyqppiq\n", "7\nkabmei\nogrobei\nshichiroji\nkyvzo\nheiiachi\norihsustak\noyjhcukik\n", "4\negroj\nntke\noscar\njfrry\n", "5\nmkie\nmikf\nejim\nkeim\nmike\n", "20\ngrkbifiedu\ngohaektjox\nyxghhzkwfp\ngmfsrvzr\njjkvxqppaq\nmfnqko\nyswyphjvgj\njixdzo\nynipv\nilfwfngxa\ngutza\ngeotqtrb\ngjytovppb\nmyllmkvnot\njafckw\njfccigs\njwabzf\nmjzeoxrti\ngctska\nhbbyeoxvy\n", "10\nnr\nbifiedubnohaektjox\nzxghhzkwfpbtmfsrvzry\njkv\nqppaqotfnqkogvsxyphj\ngveii\nxgnfwflcwvpinunozd\nhuw\nyjtnbrtqtoeufaz\nnvp\n", "20\nirkbmfiedu\nmohaektjpx\ngxghhzkwfp\nmmfsrvzr\nmjkvyqppaq\nmfnqko\nmsxyphjugj\nmixdzo\nmnipv\nglfwfngxa\nmutza\nmeotqtrb\nmjytnvppb\ngyllmkvnot\ngafckw\nmfccigs\nmwfbza\nmjzeoxruj\nactsjg\nmvxpeybbh\n", "6\nuoy\nare\na\nrevy\nruohrud\nindividual\n", "1\noqlah\n", "20\ngrkbifiedubnohaektjo\nizxghhzkwfpbsmfsrvzr\njjkvyqppaqotfnqkogvs\ngphjvgjewixdzonunipv\nilfwfngxaiwutzafueot\nirbntjytnvppbgyyllmk\njotpbafckwsufccigskt\njbzfmhjzeoxruiebctsj\nijkxpeybehrbzjuajvkp\njdqriujmuvcuphlcsxfm\nykwqjekoljlnyqoirlvp\nyhcczukakwarzzloccim\nmmygnzejmxmoksmslnbq\nnkuiygxerjwwwxolwezg\niacxcpwuwbvioohpndwm\nimkqihzucgjorhpukjjg\nmppnjejitmrbcckatznf\nmvqcunhdhjierflnmwld\njxoemcuqxabbzeqhlizr\nyscbwlaumgkbkpsxenpz\n" ], "output": [ "2\n", "1\n", "4\n", "16\n", "0\n", "53\n", "0\n", "1213\n", "0\n", "13\n", "2\n", "2\n", "16\n", "0\n", "51\n", "1186\n", "13\n", "2\n", "1\n", "1164\n", "1138\n", "44\n", "1117\n", "1091\n", "15\n", "1070\n", "12\n", "46\n", "1046\n", "1021\n", "0\n", "0\n", "2\n", "2\n", "2\n", "16\n", "0\n", "51\n", "0\n", "0\n", "13\n", "2\n", "1\n", "2\n", "1\n", "2\n", "16\n", "0\n", "51\n", "0\n", "0\n", "13\n", "2\n", "1\n", "1\n", "1\n", "1\n", "16\n", "0\n", "0\n", "0\n", "13\n", "2\n", "0\n", "1\n", "0\n", "1\n", "16\n", "0\n", "44\n", "0\n", "0\n", "13\n", "2\n", "0\n", "1\n", "0\n", "1\n", "0\n", "44\n", "0\n", "0\n", "2\n", "1\n", "1\n", "0\n", "1\n", "15\n", "0\n", "0\n", "0\n", "12\n", "2\n", "1\n", "1\n", "0\n", "1\n", "15\n", "0\n", "44\n", "0\n", "0\n", "12\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There are n students in the first grade of Nlogonia high school. The principal wishes to split the students into two classrooms (each student must be in exactly one of the classrooms). Two distinct students whose name starts with the same letter will be chatty if they are put in the same classroom (because they must have a lot in common). Let x be the number of such pairs of students in a split. Pairs (a, b) and (b, a) are the same and counted only once. For example, if there are 6 students: "olivia", "jacob", "tanya", "jack", "oliver" and "jessica", then: * splitting into two classrooms ("jack", "jacob", "jessica", "tanya") and ("olivia", "oliver") will give x=4 (3 chatting pairs in the first classroom, 1 chatting pair in the second classroom), * splitting into two classrooms ("jack", "tanya", "olivia") and ("jessica", "oliver", "jacob") will give x=1 (0 chatting pairs in the first classroom, 1 chatting pair in the second classroom). You are given the list of the n names. What is the minimum x we can obtain by splitting the students into classrooms? Note that it is valid to place all of the students in one of the classrooms, leaving the other one empty. Input The first line contains a single integer n (1≤ n ≤ 100) — the number of students. After this n lines follow. The i-th line contains the name of the i-th student. It is guaranteed each name is a string of lowercase English letters of length at most 20. Note that multiple students may share the same name. Output The output must consist of a single integer x — the minimum possible number of chatty pairs. Examples Input 4 jorge jose oscar jerry Output 1 Input 7 kambei gorobei shichiroji kyuzo heihachi katsushiro kikuchiyo Output 2 Input 5 mike mike mike mike mike Output 4 Note In the first sample the minimum number of pairs is 1. This can be achieved, for example, by putting everyone except jose in one classroom, and jose in the other, so jorge and jerry form the only chatty pair. In the second sample the minimum number of pairs is 2. This can be achieved, for example, by putting kambei, gorobei, shichiroji and kyuzo in one room and putting heihachi, katsushiro and kikuchiyo in the other room. In this case the two pairs are kambei and kyuzo, and katsushiro and kikuchiyo. In the third sample the minimum number of pairs is 4. This can be achieved by placing three of the students named mike in one classroom and the other two students in another classroom. Thus there will be three chatty pairs in one classroom and one chatty pair in the other classroom. ### Input: 7 kambei gorobei shichiroji kyuzo heihachi katsushiro kikuchiyo ### Output: 2 ### Input: 4 jorge jose oscar jerry ### Output: 1 ### Code: n = int(input()) l = [] se = set() for _ in range(n): st = input() s = st[0:1] l.append(s) se.add(s) su = 0 for s in se: c = l.count(s) if c>1: x = c//2 y = c-x su += ((x*(x-1))+(y*(y-1)))//2 print(su)
1184_E2. Daleks' Invasion (medium)_34549
After a successful field test, Heidi is considering deploying a trap along some Corridor, possibly not the first one. She wants to avoid meeting the Daleks inside the Time Vortex, so for abundance of caution she considers placing the traps only along those Corridors that are not going to be used according to the current Daleks' plan – which is to use a minimum spanning tree of Corridors. Heidi knows that all energy requirements for different Corridors are now different, and that the Daleks have a single unique plan which they are intending to use. Your task is to calculate the number E_{max}(c), which is defined in the same way as in the easy version – i.e., the largest e ≤ 10^9 such that if we changed the energy of corridor c to e, the Daleks might use it – but now for every corridor that Heidi considers. Input The first line: number n of destinations, number m of Time Corridors (2 ≤ n ≤ 10^5, n - 1 ≤ m ≤ 10^6). The next m lines: destinations a, b and energy e (1 ≤ a, b ≤ n, a ≠ b, 0 ≤ e ≤ 10^9). No pair \\{a, b\} will repeat. The graph is guaranteed to be connected. All energy requirements e are distinct. Output Output m-(n-1) lines, each containing one integer: E_{max}(c_i) for the i-th Corridor c_i from the input that is not part of the current Daleks' plan (minimum spanning tree). Example Input 3 3 1 2 8 2 3 3 3 1 4 Output 4 Note If m = n-1, then you need not output anything.
def naiveSolve(): return from types import GeneratorType def bootstrap(f, stack=[]): def wrappedfunc(*args, **kwargs): if stack: return f(*args, **kwargs) else: to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) else: stack.pop() if not stack: break to = stack[-1].send(to) return to return wrappedfunc class UnionFind: def __init__(self, n): self.parent = list(range(n)) def find(self, a): #return parent of a. a and b are in same set if they have same parent acopy = a while a != self.parent[a]: a = self.parent[a] while acopy != a: #path compression self.parent[acopy], acopy = a, self.parent[acopy] return a def union(self, a, b): #union a and b self.parent[self.find(b)] = self.find(a) def main(): n,m=readIntArr() a=[] b=[] c=[] for _ in range(m): aa,bb,cc=readIntArr() a.append(aa); b.append(bb); c.append(cc) idxes=list(range(m)) idxes.sort(key=lambda i:c[i]) uf=UnionFind(n+1) inA=[] # in MST inB=[] inC=[] outA=[] # not in MST outB=[] outIdxes=[] for i in range(m): aa=a[idxes[i]] bb=b[idxes[i]] cc=c[idxes[i]] if uf.find(aa)!=uf.find(bb): uf.union(aa,bb) inA.append(aa) inB.append(bb) inC.append(cc) else: outIdxes.append(idxes[i]) outIdxes.sort() for i in outIdxes: outA.append(a[i]) outB.append(b[i]) # find largest edge between each outA and outB adj=[[] for _ in range(n+1)] # store (edge,cost) assert len(inA)==n-1 for i in range(n-1): u,v,c=inA[i],inB[i],inC[i] adj[u].append((v,c)) adj[v].append((u,c)) @bootstrap def dfs(node,p,cost): up[node][0]=p maxEdge[node][0]=cost tin[node]=time[0] time[0]+=1 for v,c in adj[node]: if v!=p: yield dfs(v,node,c) tout[node]=time[0] time[0]+=1 yield None time=[0] tin=[-1]*(n+1) tout=[-1]*(n+1) # binary lifting to find LCA maxPow=0 while pow(2,maxPow)<n: maxPow+=1 maxPow+=1 up=[[-1 for _ in range(maxPow)] for __ in range(n+1)] maxEdge=[[-inf for _ in range(maxPow)] for __ in range(n+1)] dfs(1,-1,-inf) for i in range(1,maxPow): for u in range(2,n+1): if up[u][i-1]==-1 or up[up[u][i-1]][i-1]==-1: # reached beyond root continue up[u][i]=up[up[u][i-1]][i-1] maxEdge[u][i]=max(maxEdge[u][i-1],maxEdge[up[u][i-1]][i-1]) def isAncestor(u,v): # True if u is ancestor of v return tin[u]<=tin[v] and tout[u]>=tout[v] def findMaxEdgeValue(u,v): # traverse u to LCA, then v to LCA res=0 if not isAncestor(u,v): u2=u for i in range(maxPow-1,-1,-1): if up[u2][i]!=-1 and not isAncestor(up[u2][i],v): res=max(res,maxEdge[u2][i]) u2=up[u2][i] # next level up is lca res=max(res,maxEdge[u2][0]) if not isAncestor(v,u): v2=v while not isAncestor(up[v2][0],u): # still have to move up for i in range(maxPow-1,-1,-1): if up[v2][i]!=-1 and not isAncestor(up[v2][i],u): res=max(res,maxEdge[v2][i]) v2=up[v2][i] # print('v2:{} u:{}'.format(v2,u)) ## # if v2==1: # print(isAncestor(v,u)) ## # break # next level up is lca res=max(res,maxEdge[v2][0]) return res # for i in range(1,4): # for j in range(1,4): # if i!=j: # print('i:{} j:{} anc:{}'.format(i,j,isAncestor(i,j))) ans=[] # print(outA,outB) # for u in range(1,n+1): # print('u:{} up:{} maxEdge:{}'.format(u,up[u],maxEdge[u])) ## for i in range(len(outA)): u,v=outA[i],outB[i] ans.append(findMaxEdgeValue(u,v)) multiLineArrayPrint(ans) return import sys input=sys.stdin.buffer.readline #FOR READING PURE INTEGER INPUTS (space separation ok) # input=lambda: sys.stdin.readline().rstrip("\r\n") #FOR READING STRING/TEXT INPUTS. def oneLineArrayPrint(arr): print(' '.join([str(x) for x in arr])) def multiLineArrayPrint(arr): print('\n'.join([str(x) for x in arr])) def multiLineArrayOfArraysPrint(arr): print('\n'.join([' '.join([str(x) for x in y]) for y in arr])) def readIntArr(): return [int(x) for x in input().split()] # def readFloatArr(): # return [float(x) for x in input().split()] def makeArr(defaultValFactory,dimensionArr): # eg. makeArr(lambda:0,[n,m]) dv=defaultValFactory;da=dimensionArr if len(da)==1:return [dv() for _ in range(da[0])] else:return [makeArr(dv,da[1:]) for _ in range(da[0])] def queryInteractive(r): print('? {}'.format(r)) sys.stdout.flush() return readIntArr() def answerInteractive(adj,n): print('!') for u in range(1,n+1): for v in adj[u]: if v>u: print('{} {}'.format(u,v)) sys.stdout.flush() inf=float('inf') MOD=10**9+7 # MOD=998244353 from math import gcd,floor,ceil # from math import floor,ceil # for Python2 for _abc in range(1): main()
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863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n3 7 997285327\n1 5 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n3 9 890128172\n5 6 771400672\n7 3 236669094\n5 9 373277926\n7 1 211294210\n10 4 974389859\n", "10 22\n3 1 452480187\n4 7 143663931\n4 3 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 1 150599885\n8 10 863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n2 7 997285327\n1 5 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n3 9 890128172\n5 6 771400672\n7 3 236669094\n5 9 373277926\n7 1 211294210\n10 4 974389859\n", "10 22\n3 1 452480187\n4 7 143663931\n4 3 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 10 150599885\n8 10 863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n2 10 997285327\n1 5 48871168\n10 6 15791397\n6 7 151400164\n3 8 636684530\n3 9 890128172\n5 6 771400672\n7 3 236669094\n5 9 373277926\n7 1 211294210\n10 4 974389859\n", "10 17\n8 2 166387394\n1 6 237498837\n6 9 99779164\n4 7 525284035\n1 3 354857458\n5 4 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539798547\n1 3 253080431\n6 2 191875277\n3 5 830704966\n4 8 354568025\n7 5 786556082\n9 10 421459197\n3 10 184630839\n9 2 737415175\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 180879800\n3 1 77348173\n3 2 726719509\n6 5 220427628\n4 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 12\n6 10 826624278\n5 5 894720922\n8 6 936937925\n9 1 277439546\n1 3 253080431\n3 2 191875277\n3 5 830704966\n4 8 354568025\n7 5 695991463\n9 10 421459197\n3 10 184630839\n9 2 737415175\n", "10 23\n6 4 861606467\n9 8 623704841\n10 2 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 2 256190959\n8 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 1 726719509\n6 5 220427628\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 22\n3 1 452480187\n4 7 143663931\n4 6 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 10 101123644\n8 10 863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n3 7 997285327\n1 5 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n3 9 890128172\n5 6 771400672\n7 3 236669094\n5 9 373277926\n7 1 211294210\n10 4 974389859\n", "10 22\n3 1 452480187\n4 7 143663931\n4 3 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 1 150599885\n8 10 863305236\n4 2 790681324\n3 6 91160977\n8 4 936313463\n2 7 997285327\n1 5 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n3 9 890128172\n5 6 771400672\n7 3 236669094\n5 9 373277926\n7 1 211294210\n10 4 974389859\n", "3 3\n1 2 8\n2 3 1\n3 1 0\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n1 5 819846864\n1 9 771093606\n5 4 180879800\n3 1 77348173\n3 2 726719509\n6 5 220427628\n4 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 12\n6 10 826624278\n5 5 894720922\n8 6 936937925\n9 1 277439546\n1 3 253080431\n3 2 191875277\n3 5 830704966\n4 8 354568025\n7 5 695991463\n9 10 421459197\n5 10 184630839\n9 2 737415175\n", "10 23\n6 4 861606467\n9 8 1165988998\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 8 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 2 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 262484431\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 23\n6 4 861606467\n9 8 623704841\n10 2 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 2 256190959\n8 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 452065619\n3 1 77348173\n3 1 726719509\n6 5 220427628\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 12\n4 10 826624278\n4 6 894720922\n8 7 936937925\n9 1 277439546\n1 3 253080431\n3 2 191875277\n3 5 830704966\n4 8 354568025\n7 2 786556082\n9 10 397345356\n3 10 184630839\n9 2 737415175\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 7 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 4 256190959\n8 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 220427628\n7 2 857397714\n8 2 25620184\n9 3 980800089\n", "10 22\n3 1 452480187\n4 7 143663931\n4 6 58450815\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 10 101123644\n8 10 863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n3 7 997285327\n1 5 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n3 9 890128172\n5 6 771400672\n7 3 236669094\n5 9 373277926\n7 1 211294210\n10 4 974389859\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 23027648\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n2 2 493565590\n6 5 220427628\n7 4 870576760\n8 2 26067477\n9 3 980800089\n", "10 12\n6 10 826624278\n5 4 894720922\n8 6 936937925\n9 1 539798547\n1 3 253080431\n6 2 191875277\n5 5 830704966\n4 8 354568025\n7 6 786556082\n9 10 421459197\n3 10 184630839\n9 2 737415175\n", "10 23\n6 4 861606467\n9 8 1165988998\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 7 289613671\n2 8 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 2 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 262484431\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 23\n6 4 861606467\n9 8 623704841\n10 2 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n3 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 2 256190959\n8 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 452065619\n3 1 77348173\n3 1 726719509\n6 5 220427628\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 7 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 138265778\n9 7 686841046\n2 4 836881642\n4 4 256190959\n8 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 220427628\n7 2 857397714\n8 2 25620184\n9 3 980800089\n", "10 12\n6 10 826624278\n4 6 894720922\n8 6 936937925\n9 1 342710656\n1 3 253080431\n3 2 191875277\n3 5 790399706\n4 8 354568025\n7 5 107451938\n9 10 397345356\n3 10 184630839\n9 2 327550335\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 23027648\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 180099087\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n2 2 493565590\n6 5 220427628\n7 4 870576760\n8 2 26067477\n9 3 980800089\n", "10 23\n6 4 861606467\n9 8 1165988998\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 7 289613671\n2 8 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 2 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 522637541\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 22\n1 1 452480187\n4 7 143663931\n4 3 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 10 101123644\n8 10 863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n2 7 997285327\n1 10 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n6 9 890128172\n5 2 771400672\n7 3 236669094\n2 9 373277926\n7 2 223578291\n10 4 974389859\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 359075085\n7 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 507646776\n1 5 819846864\n1 9 771093606\n5 4 180879800\n3 1 77348173\n3 2 726719509\n6 5 220427628\n4 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 23\n6 4 861606467\n9 8 623704841\n10 2 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n3 10 444236719\n4 8 197742755\n9 7 680189018\n2 4 1256223332\n4 2 256190959\n8 3 38723910\n1 5 819846864\n1 9 433108807\n5 4 452065619\n3 1 77348173\n3 1 726719509\n6 5 220427628\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 22\n1 1 452480187\n4 7 143663931\n4 3 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 10 101123644\n8 10 863305236\n4 2 790681324\n3 6 216728624\n8 4 936313463\n2 7 997285327\n1 10 67550244\n10 6 15791397\n6 7 151400164\n3 3 636684530\n6 9 890128172\n5 2 771400672\n7 3 236669094\n2 9 373277926\n7 2 223578291\n10 4 974389859\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 359075085\n7 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 507646776\n1 5 819846864\n1 9 771093606\n5 4 180879800\n3 1 77348173\n3 2 194872739\n6 5 220427628\n4 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 359075085\n7 7 165487071\n2 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 507646776\n1 5 819846864\n1 9 1342447272\n5 4 180879800\n3 1 77348173\n3 2 194872739\n6 5 220427628\n4 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 17\n8 2 166387394\n1 6 237498837\n6 9 99779164\n4 7 525284035\n5 3 354857458\n5 4 957219660\n4 8 447860623\n4 2 765484117\n4 1 862758183\n6 10 141683709\n6 3 249157457\n4 3 868580407\n4 10 509806549\n2 5 163095060\n6 4 653748301\n9 4 177631633\n7 6 240252621\n", "10 23\n3 7 292245429\n5 9 644603858\n6 1 884124407\n6 3 244841288\n1 10 38146622\n6 2 529286525\n8 9 335938769\n10 9 399043296\n5 1 23773535\n9 4 245601913\n1 4 137094263\n10 5 938320345\n8 10 163440023\n6 8 290082836\n8 5 883612433\n4 6 444836263\n5 7 574857993\n3 4 566664661\n1 7 471134851\n2 4 241024296\n3 9 830974156\n2 8 33633506\n2 5 836391860\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 9 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n2 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 220427628\n7 3 870576760\n8 2 26067477\n9 3 980800089\n", "10 12\n6 10 826624278\n5 4 894720922\n7 6 936937925\n9 1 277439546\n1 3 253080431\n3 2 191875277\n3 5 830704966\n4 8 354568025\n7 5 786556082\n9 6 421459197\n3 10 184630839\n9 2 737415175\n", "3 3\n1 2 8\n2 3 6\n3 1 4\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 133361044\n8 5 617644813\n6 7 165487071\n1 1 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 220427628\n7 3 870576760\n8 2 26067477\n9 3 980800089\n", "10 22\n3 1 452480187\n4 7 143663931\n4 3 34459005\n9 5 198529090\n4 10 645089995\n2 1 47132091\n5 10 442015877\n8 10 863305236\n4 2 790681324\n3 8 216728624\n8 2 936313463\n2 7 997285327\n1 5 67550244\n10 6 15791397\n6 7 151400164\n3 8 636684530\n6 9 890128172\n5 6 771400672\n7 3 236669094\n10 9 373277926\n7 1 186819658\n10 4 974389859\n", "10 23\n6 4 861606467\n9 8 623704841\n10 1 98058652\n8 5 617644813\n6 7 165487071\n1 5 142216854\n3 5 794256868\n8 10 289613671\n2 10 444236719\n4 8 197742755\n9 7 686841046\n2 4 836881642\n4 1 256190959\n10 3 282914152\n1 5 819846864\n1 9 433108807\n5 4 253997951\n3 1 77348173\n3 2 726719509\n6 5 220427628\n7 3 857397714\n8 2 26067477\n9 3 980800089\n", "10 12\n6 10 826624278\n5 6 894720922\n8 6 936937925\n9 1 277439546\n1 3 253080431\n3 2 191875277\n3 5 830704966\n4 8 354568025\n7 5 786556082\n9 10 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2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: After a successful field test, Heidi is considering deploying a trap along some Corridor, possibly not the first one. She wants to avoid meeting the Daleks inside the Time Vortex, so for abundance of caution she considers placing the traps only along those Corridors that are not going to be used according to the current Daleks' plan – which is to use a minimum spanning tree of Corridors. Heidi knows that all energy requirements for different Corridors are now different, and that the Daleks have a single unique plan which they are intending to use. Your task is to calculate the number E_{max}(c), which is defined in the same way as in the easy version – i.e., the largest e ≤ 10^9 such that if we changed the energy of corridor c to e, the Daleks might use it – but now for every corridor that Heidi considers. Input The first line: number n of destinations, number m of Time Corridors (2 ≤ n ≤ 10^5, n - 1 ≤ m ≤ 10^6). The next m lines: destinations a, b and energy e (1 ≤ a, b ≤ n, a ≠ b, 0 ≤ e ≤ 10^9). No pair \\{a, b\} will repeat. The graph is guaranteed to be connected. All energy requirements e are distinct. Output Output m-(n-1) lines, each containing one integer: E_{max}(c_i) for the i-th Corridor c_i from the input that is not part of the current Daleks' plan (minimum spanning tree). Example Input 3 3 1 2 8 2 3 3 3 1 4 Output 4 Note If m = n-1, then you need not output anything. ### Input: 3 3 1 2 8 2 3 3 3 1 4 ### Output: 4 ### Input: 10 17 8 2 166387394 1 6 237498837 6 9 99779164 4 7 525284035 5 3 354857458 5 4 957219660 4 8 447860623 4 2 765484117 4 1 862758183 6 10 141683709 6 3 249157457 4 3 868580407 4 10 509806549 2 5 163095060 6 4 653748301 9 4 804011952 7 6 240252621 ### Output: 447860623 447860623 447860623 447860623 447860623 447860623 447860623 447860623 ### Code: def naiveSolve(): return from types import GeneratorType def bootstrap(f, stack=[]): def wrappedfunc(*args, **kwargs): if stack: return f(*args, **kwargs) else: to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) else: stack.pop() if not stack: break to = stack[-1].send(to) return to return wrappedfunc class UnionFind: def __init__(self, n): self.parent = list(range(n)) def find(self, a): #return parent of a. a and b are in same set if they have same parent acopy = a while a != self.parent[a]: a = self.parent[a] while acopy != a: #path compression self.parent[acopy], acopy = a, self.parent[acopy] return a def union(self, a, b): #union a and b self.parent[self.find(b)] = self.find(a) def main(): n,m=readIntArr() a=[] b=[] c=[] for _ in range(m): aa,bb,cc=readIntArr() a.append(aa); b.append(bb); c.append(cc) idxes=list(range(m)) idxes.sort(key=lambda i:c[i]) uf=UnionFind(n+1) inA=[] # in MST inB=[] inC=[] outA=[] # not in MST outB=[] outIdxes=[] for i in range(m): aa=a[idxes[i]] bb=b[idxes[i]] cc=c[idxes[i]] if uf.find(aa)!=uf.find(bb): uf.union(aa,bb) inA.append(aa) inB.append(bb) inC.append(cc) else: outIdxes.append(idxes[i]) outIdxes.sort() for i in outIdxes: outA.append(a[i]) outB.append(b[i]) # find largest edge between each outA and outB adj=[[] for _ in range(n+1)] # store (edge,cost) assert len(inA)==n-1 for i in range(n-1): u,v,c=inA[i],inB[i],inC[i] adj[u].append((v,c)) adj[v].append((u,c)) @bootstrap def dfs(node,p,cost): up[node][0]=p maxEdge[node][0]=cost tin[node]=time[0] time[0]+=1 for v,c in adj[node]: if v!=p: yield dfs(v,node,c) tout[node]=time[0] time[0]+=1 yield None time=[0] tin=[-1]*(n+1) tout=[-1]*(n+1) # binary lifting to find LCA maxPow=0 while pow(2,maxPow)<n: maxPow+=1 maxPow+=1 up=[[-1 for _ in range(maxPow)] for __ in range(n+1)] maxEdge=[[-inf for _ in range(maxPow)] for __ in range(n+1)] dfs(1,-1,-inf) for i in range(1,maxPow): for u in range(2,n+1): if up[u][i-1]==-1 or up[up[u][i-1]][i-1]==-1: # reached beyond root continue up[u][i]=up[up[u][i-1]][i-1] maxEdge[u][i]=max(maxEdge[u][i-1],maxEdge[up[u][i-1]][i-1]) def isAncestor(u,v): # True if u is ancestor of v return tin[u]<=tin[v] and tout[u]>=tout[v] def findMaxEdgeValue(u,v): # traverse u to LCA, then v to LCA res=0 if not isAncestor(u,v): u2=u for i in range(maxPow-1,-1,-1): if up[u2][i]!=-1 and not isAncestor(up[u2][i],v): res=max(res,maxEdge[u2][i]) u2=up[u2][i] # next level up is lca res=max(res,maxEdge[u2][0]) if not isAncestor(v,u): v2=v while not isAncestor(up[v2][0],u): # still have to move up for i in range(maxPow-1,-1,-1): if up[v2][i]!=-1 and not isAncestor(up[v2][i],u): res=max(res,maxEdge[v2][i]) v2=up[v2][i] # print('v2:{} u:{}'.format(v2,u)) ## # if v2==1: # print(isAncestor(v,u)) ## # break # next level up is lca res=max(res,maxEdge[v2][0]) return res # for i in range(1,4): # for j in range(1,4): # if i!=j: # print('i:{} j:{} anc:{}'.format(i,j,isAncestor(i,j))) ans=[] # print(outA,outB) # for u in range(1,n+1): # print('u:{} up:{} maxEdge:{}'.format(u,up[u],maxEdge[u])) ## for i in range(len(outA)): u,v=outA[i],outB[i] ans.append(findMaxEdgeValue(u,v)) multiLineArrayPrint(ans) return import sys input=sys.stdin.buffer.readline #FOR READING PURE INTEGER INPUTS (space separation ok) # input=lambda: sys.stdin.readline().rstrip("\r\n") #FOR READING STRING/TEXT INPUTS. def oneLineArrayPrint(arr): print(' '.join([str(x) for x in arr])) def multiLineArrayPrint(arr): print('\n'.join([str(x) for x in arr])) def multiLineArrayOfArraysPrint(arr): print('\n'.join([' '.join([str(x) for x in y]) for y in arr])) def readIntArr(): return [int(x) for x in input().split()] # def readFloatArr(): # return [float(x) for x in input().split()] def makeArr(defaultValFactory,dimensionArr): # eg. makeArr(lambda:0,[n,m]) dv=defaultValFactory;da=dimensionArr if len(da)==1:return [dv() for _ in range(da[0])] else:return [makeArr(dv,da[1:]) for _ in range(da[0])] def queryInteractive(r): print('? {}'.format(r)) sys.stdout.flush() return readIntArr() def answerInteractive(adj,n): print('!') for u in range(1,n+1): for v in adj[u]: if v>u: print('{} {}'.format(u,v)) sys.stdout.flush() inf=float('inf') MOD=10**9+7 # MOD=998244353 from math import gcd,floor,ceil # from math import floor,ceil # for Python2 for _abc in range(1): main()
1203_D1. Remove the Substring (easy version)_34553
The only difference between easy and hard versions is the length of the string. You are given a string s and a string t, both consisting only of lowercase Latin letters. It is guaranteed that t can be obtained from s by removing some (possibly, zero) number of characters (not necessary contiguous) from s without changing order of remaining characters (in other words, it is guaranteed that t is a subsequence of s). For example, the strings "test", "tst", "tt", "et" and "" are subsequences of the string "test". But the strings "tset", "se", "contest" are not subsequences of the string "test". You want to remove some substring (contiguous subsequence) from s of maximum possible length such that after removing this substring t will remain a subsequence of s. If you want to remove the substring s[l;r] then the string s will be transformed to s_1 s_2 ... s_{l-1} s_{r+1} s_{r+2} ... s_{|s|-1} s_{|s|} (where |s| is the length of s). Your task is to find the maximum possible length of the substring you can remove so that t is still a subsequence of s. Input The first line of the input contains one string s consisting of at least 1 and at most 200 lowercase Latin letters. The second line of the input contains one string t consisting of at least 1 and at most 200 lowercase Latin letters. It is guaranteed that t is a subsequence of s. Output Print one integer — the maximum possible length of the substring you can remove so that t is still a subsequence of s. Examples Input bbaba bb Output 3 Input baaba ab Output 2 Input abcde abcde Output 0 Input asdfasdf fasd Output 3
big=input() small=input() pre=[] post=[] i=0 j=0 while 1: if j==len(small): break if big[i]==small[j]: pre.append(i) i+=1 j+=1 else: i+=1 big=big[::-1] small=small[::-1] i=0 j=0 while 1: if j==len(small): break if big[i]==small[j]: post.append(i) i+=1 j+=1 else: i+=1 for i in range(len(small)): post[i]=(len(big)-1)-post[i] post.reverse() ans=max(post[0],(len(big)-(pre[-1]+1) )) for i in range(len(small)-1): ans=max(ans,(post[i+1]-(pre[i]+1) )) print(ans)
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"mejfmlmclpqwopscpxxtkamtodhogweqtpigxgsbmsdvhcvlenqwsqpuxegugrgkopjwulouqbqwqsarnymoursenotgeakbslepaacvwiydnqgnetsjaazblnriaqcmolxplvqtfdqtcmwduwrnmemtvykgbbzkvaplprscuaqfvjlftkblwddcgwsqsfecoqibpncs\nm\n", "yddetawddikawvqdrlzrupjncowrjegdlffvqomiuczkpezrtnbnuzcalfsvptfvxkwfualvarudertbhngudovyqfqfuccfspgevzqdcknlnxwphudqnbltuvvpojjxnndexpswqcwhadiyryctuychonrgfkxvemyulrelpsjvzdhfhnwugsbtkasxwchysaxervjz\ndy\n", "abaab\naa\n", "bbabb\nbb\n", "mdpaqibhtljpgjfoebvuqxujiviygcklbezfcprjxkdzelurbwqkimgjqdyckodiletoepocrdwkmmqmktvrutbhcursuykfpvelqpgfgzvixhyposydnndzykhkajekozfztncgpsiykbkafbhkkpuwntejcxaybyolmwqpysasafomgczcxuxpyhjikpgldihavqny\nz\n", "gecewmzjpvbpuvgtxiranywdxlneejahynrmfrpysxwqeymmwtotktkhnbrtueulewaunbscqnglwktiwkkkusjxhnfosjsoujaggwpuaceisnghxvgbdbeadwxshclpmocbyxqqrhthywpedhorfeytuucbaaxrdrwvwavzadnqxfnhwkeevxzsdytxocjvpqvyxbch\nh\n", "bb\nb\n", "trlypzzcpqrdgejwjolsefdtaceyixfdnwbpgfwutzcweeqjsfqdcuftiscihqbflemognctgylfgtwqhcqjmutymwnxzoobfxopbsduyrvdaptgqecwjtliifaytgqdlbckulbyrpqfcbxmwxzboidqmzeghltlvbobpdidklzrurmfrigprxqowfjeiapiodipbhpt\nsp\n", "sowebxtwfdqpqkirbgcwzgglhkochlvjydmcksbenikriedfgrutoaqbnfdfzhqzacppcvznjnwmdadkxhowejzderdglkskznacjqqdrgmbnfxhmvgktivxrczqeafsapcbnjpccrbccutaabzwdtvbdpqduhbpcmlfkakimayhdqxhqvajpcfodvkmomvlimooncqi\nps\n", "scnpbiqocefsqswgcddwlbktfljvfqaucsrplpavkzbbgkyvtmemnrwudwmctqdftqvlpxlomcqairnlbzaajstengqndyiwvcaapelsbkaegtonesruomynrasqwqbquoluwjpokgrgugexupqswqnelvchvdsmbsgxgiptqewgohdotmaktxxpcspowqplcmlmfjem\nm\n", "yddetawddikawvqdrlzrupjncowrjegdlffvqnmiuczkpezrtnbnuzcalfsvptfvxkwfualvarudertbhngudovyqfqfuccfspgevzqdcknlnxwphudqnbltuvvpojjxnndexpswqcwhadiyryctuychonrgfkxvemyulrelpsjvzdhfhnwugsbtkasxwchysaxervjz\ndy\n", "baaba\naa\n", "bbaab\nbb\n", "ynqvahidlgpkijhypxuxczcgmofasasypqwmloybyaxcjetnwupkkhbfakbkyispgcntzfzokejakhkyzdnndysopyhxivzgfgpqlevpfkyusruchbturvtkmqmmkwdrcopeotelidokcydqjgmikqwbrulezdkxjrpcfzeblkcgyivijuxquvbeofjgpjlthbiqapdm\nz\n", "gecewmzjpvbpuvgtxiranywdxlneejahynrmfrpysxwqeymmwtotktkhnbrtueulewaunbscqnglwktiwkkkusjxhnfosjsoujaggwpuaceisnghxvgbdbeadwxshclpmocbyyqqrhthywpedhorfeytuucbaaxrdrwvwavzadnqxfnhwkeevxzsdytxocjvpqvyxbch\nh\n", "scnpbiqocefsqswgcddwlbktfljvfqaucsrplpavkzbbgkyvtmemnrwudwmctqdftqvlpxlomcqairnlbzaajstengqndyiwvcaapelsbkaegtonesruomynrasqwqbquoluwjpokgrgugexupqswqnelvchvdsmbsgxgiptqewgohdotmaktxxocspowqplcmlmfjem\nm\n", "caaba\naa\n", "bbbab\nbb\n", "ynqvahidlgpkijhypxuxczcgmofasasypqwmloybyaxcjetnwupkkhbfakbkyispgcntzfzokejalhkyzdnndysopyhxivzgfgpqlevpfkyusruchbturvtkmqmmkwdrcopeotelidokcydqjgmikqwbrulezdkxjrpcfzeblkcgyivijuxquvbeofjgpjlthbiqapdm\nz\n", "trlypzzcpqrdgejwjolsefdtaceyixfdnwbpgfwuuzcweeqjsfqdcuftiscihqbflemognctgylfgtwqhcqjmutymwnxzoobfxopbsduyrvdaptgqecwjtliifaytgqdlbckulbyrpqfcbxmwxzboidqmzeghltlvbobpdidklzrurmfrigprxqowfjeiapiodipbhpt\nps\n", "iqcnoomilvmomkvdofcpjavqhxqdhyamikakflmcpbhudqpdbvtdwzbaatuccbrccpjnbcpasfaeqzcrxvitkgvmhxfnbmgrdqqjcanzksklgdredzjewohxkdadmwnjnzvcppcazqhzfdfnbqaoturgfdeirkinebskcmdyjvlhcokhlggzwcgbrikqpqdfwtxbewos\nsp\n", "scnpbiqncefsqswgcddwlbktfljvfqaucsrplpavkzbbgkyvtmemnrwudwmctqdftqvlpxlomcqairnlbzaajstengqndyiwvcaapelsbkaegtonesruomynrasqwqbquoluwjpokgrgugexupqswqnelvchvdsmbsgxgiptqewgohdotmaktxxocspowqplcmlmfjem\nm\n", "yddetawddikawvqdrlzrupjncowrjegdlffvqnmiuczkpezrtnbnuzcalfsvptfvxkwfualvarudertbhngudovyqfqsuccffpgevzqdcknlnxwphudqnbltuvvpojjxnndexpswqcwhadiyryctuychonrgfkxvemyulrelpsjvzdhfhnwugsbtkasxwchysaxervjz\ndx\n", "babbb\nbb\n", "ynqvahidlgpkijhypxuxczcgmofasasypqwmloybyaxcjetnwupkkhbfakbkyispgcntzfzokejalhkyzdnndysopyhxivzgfgpqlevpfkyusruchbturvtkmqmmkwdrcopeotelidokcydqjgmikqwbrulezdkxjrpcfzeblkcgyivijuxquvbeofjgpjlthbiqapdm\ny\n", "trlypzzcpqrdgejwjolsefdtaceyixfdnwbpgfwuuzcweeqjsfqdcuftiscihqbflemognctgylfgtwqhcqjmutymwnxzoobfxopbsduyrvdaptgqecwjtliifaytgqdlbckulbyrpqfcbxmwxzboidqmzeghltlvbobpdidklzrurmfrigprxqowfjeiapiodipbhpt\npr\n", "scnpbiqncefsqswgcddwlbktfljvfqaucsrplpavkzbbgkyvtmemnrwudwmctqdftqvlpxlomcqairnlbzaajstengqndyiwvcaapelsbkaegtonesruomynrasqwqbquoluwjpokgrgugexupqswqnelvchvdsmbsgxgiptqewgohdotmaktxxocspowqplcmmmfjem\nm\n", "yddetawddikawvqdrlzrupjncowrjegdlffvqnmiuczkpezrtnbnuzcalfsvptfvxkwfualvarudertbhngudovyqfqsuccffpgevzqdcknlnxwphudqnbltuvvpojjxnndexpswqcwhadiyryctuychonrgfkxvemyulrelpsjvzdhfhnwugsbtkasxwchysaxervjz\ndy\n", "bbbbb\nbb\n", "ynqvahidlgpkijhypxuxczbgmofasasypqwmloybyaxcjetnwupkkhbfakbkyispgcntzfzokejalhkyzdnndysopyhxivzgfgpqlevpfkyusruchbturvtkmqmmkwdrcopeotelidokcydqjgmikqwbrulezdkxjrpcfzeblkcgyivijuxquvbeofjgpjlthbiqapdm\ny\n", "iqcnoomilvmomkvdofcpjavqhxqdhyamikakflmcpbhudqpdbvtdwzbaatuccbrccpjnbcpasfaeqzcrxvitkgvmhxfnbmgrdqqjcanzksklgdredzjewohxkdadmwnjnzvcppcazqhzfdfnbqaoturgfdeirkinebskcmdyjvlhcokhlggzwcgbrikqpqdfwtxbewos\npt\n", "yddetawddikawvqdrlzrupjncowrjegdlffvqnmiuczkpezrtnbnuzcalfsvptfvxkwfualvarudertbhngudovyqfqsuccffpgevzqdcknlnxwphudqnbltuvvpojjxnndexpswqcwhadiyryctuychonrgfkxvemyulrelpsjvzdhfhnwugsbtkasxwchysaxervjz\nyd\n", "bbbcb\nbb\n", "mdpaqibhtljpgjfoebvuqxujiviygcklbezfcprjxkdzelurbwqkimgjqdyckodiletoepocrdwkmmqmktvrutbhcursuykfpvelqpgfgzvixhyposydnndzykhlajekozfztncgpsiykbkafbhkkpuwntejcxaybyolmwqpysasafomgbzcxuxpyhjikpgldihavqny\ny\n", 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"tphbpidoipaiejfwoqxrpgirfmrurzlkdidpbobvltlhgedmqdiobzxwmxbcfqpryblukcbldqgtyafiiltjwceqgtpadvryudsbpoxfboozxnwmytumjqchqwtgflygtcngomelfbqhicsitfucdqfsjqeewczuuwfgpbwnzfxiyecatdfeslojwjegdrqpczzpylrt\npq\n", "sowebxtwfdqpqkirbgcwzgglhkochlvjydmcksbenikriedfgrutoaqbnfdfzhqzacppcvznjnwmdadkxhowejzdereglkskznacjqqdrgmbnfxhmvgktivxrczqeafsapcbnjpccrbccutaabzwdtvbdpqduhbpcmlfkakimayhdqxhqvajpcfodvkmomvlimooncqi\nto\n", "scnpbiqncefsqswgcddwlbktfljvfqaucsrplpavkzbbgkyvtmemnrwudxmctqdftqvlpxlomcqairnlbzaajstengqndyiwvcaapelsbkaegtonesruomynrasrwqbquoluwjpokgrgugexupqswqnelvchvdsmbsgxgiptqewgohdotmaktxxocspowqplcmmmfjem\nl\n", "ynqvahidlgpkijhypxuxczbgmofasasypqwmloybyaxcjetnwupkkhbfakbkyispgcnozfzokejalhkyzdnndysopyhxivzgfgpqlevpfkyusruchbturvtkmqmmkwdrcopeotelidokcyeqjgmikqwbrulezdkxjrpcfzeblkcgyivijuxquvbetfjgpjlthbiqapdm\ny\n", "tphbpidoipaiejfwoqxrpgirfmrurzlkdidpbobvltlhgedmqdiobzxwmxbcfqpryblukcbldqgtyafiiltjwceqgtpadvryudsbpoxfboozxnwmytumjqchqwtgflygtcngomelfbqhicsitfucdqfsjqeewczuuwfgpbwnzfxiyecatdfeslojwjegdrqpczzpylrt\nqp\n", "scnpbiqncefsqswgcddwlbktfljvfqaucsrplpavkzbbgkyvtmemnrwvdxmctqdftqvlpxlomcqairnlbzaajstengqndyiwvcaapelsbkaegtonesruomynrasrwqbquoluwjpokgrgugexupqswqnelvchvdsmbsgxgiptqewgohdotmaktxxocspowqplcmmmfjem\nl\n" ], "output": [ "3", "2", "3", "0", "2", "151", "4", "180", "21", "199", "4", "7", "8", "109", "101", "99", "101", "100", "27", "21", "100", "4", "199", "0", "100", "1", "1", "150", "20", "198", "5", "150", "2", "6", "198", "100", "1", "111", "5", "199", "20", "198", "5", "0", "2", "2\n", "151\n", "162\n", "178\n", "107\n", "78\n", "199\n", "1\n", "150\n", "198\n", "189\n", "3\n", "14\n", "103\n", "114\n", "197\n", "180\n", "188\n", "192\n", "148\n", "196\n", "191\n", "172\n", "190\n", "187\n", "193\n", "162\n", "1\n", "199\n", "2\n", "3\n", "178\n", "199\n", "1\n", "162\n", "199\n", "189\n", "2\n", "3\n", "178\n", "199\n", "1\n", "178\n", "162\n", "199\n", "189\n", "2\n", "3\n", "178\n", "199\n", "199\n", "2\n", "3\n", "178\n", "180\n", "162\n", "199\n", "192\n", "3\n", "199\n", "189\n", "199\n", "189\n", "3\n", "199\n", "188\n", "198\n", "3\n", "199\n", "189\n", "188\n", "199\n", "3\n", "199\n", "188\n", "191\n", "197\n", "199\n", "188\n", "188\n", "191\n", "199\n", "190\n", "191\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: The only difference between easy and hard versions is the length of the string. You are given a string s and a string t, both consisting only of lowercase Latin letters. It is guaranteed that t can be obtained from s by removing some (possibly, zero) number of characters (not necessary contiguous) from s without changing order of remaining characters (in other words, it is guaranteed that t is a subsequence of s). For example, the strings "test", "tst", "tt", "et" and "" are subsequences of the string "test". But the strings "tset", "se", "contest" are not subsequences of the string "test". You want to remove some substring (contiguous subsequence) from s of maximum possible length such that after removing this substring t will remain a subsequence of s. If you want to remove the substring s[l;r] then the string s will be transformed to s_1 s_2 ... s_{l-1} s_{r+1} s_{r+2} ... s_{|s|-1} s_{|s|} (where |s| is the length of s). Your task is to find the maximum possible length of the substring you can remove so that t is still a subsequence of s. Input The first line of the input contains one string s consisting of at least 1 and at most 200 lowercase Latin letters. The second line of the input contains one string t consisting of at least 1 and at most 200 lowercase Latin letters. It is guaranteed that t is a subsequence of s. Output Print one integer — the maximum possible length of the substring you can remove so that t is still a subsequence of s. Examples Input bbaba bb Output 3 Input baaba ab Output 2 Input abcde abcde Output 0 Input asdfasdf fasd Output 3 ### Input: asdfasdf fasd ### Output: 3 ### Input: baaba ab ### Output: 2 ### Code: big=input() small=input() pre=[] post=[] i=0 j=0 while 1: if j==len(small): break if big[i]==small[j]: pre.append(i) i+=1 j+=1 else: i+=1 big=big[::-1] small=small[::-1] i=0 j=0 while 1: if j==len(small): break if big[i]==small[j]: post.append(i) i+=1 j+=1 else: i+=1 for i in range(len(small)): post[i]=(len(big)-1)-post[i] post.reverse() ans=max(post[0],(len(big)-(pre[-1]+1) )) for i in range(len(small)-1): ans=max(ans,(post[i+1]-(pre[i]+1) )) print(ans)
1220_A. Cards_34557
When Serezha was three years old, he was given a set of cards with letters for his birthday. They were arranged into words in the way which formed the boy's mother favorite number in binary notation. Serezha started playing with them immediately and shuffled them because he wasn't yet able to read. His father decided to rearrange them. Help him restore the original number, on condition that it was the maximum possible one. Input The first line contains a single integer n (1 ⩽ n ⩽ 10^5) — the length of the string. The second line contains a string consisting of English lowercase letters: 'z', 'e', 'r', 'o' and 'n'. It is guaranteed that it is possible to rearrange the letters in such a way that they form a sequence of words, each being either "zero" which corresponds to the digit 0 or "one" which corresponds to the digit 1. Output Print the maximum possible number in binary notation. Print binary digits separated by a space. The leading zeroes are allowed. Examples Input 4 ezor Output 0 Input 10 nznooeeoer Output 1 1 0 Note In the first example, the correct initial ordering is "zero". In the second example, the correct initial ordering is "oneonezero".
n = int(input()) s = input() for i in range(s.count('n')): print(1, end = ' ') for i in range(s.count('z')): print(0, end = ' ')
{ "input": [ "4\nezor\n", "10\nnznooeeoer\n", "32\noeonznzneeononnerooooooeeeneenre\n", "4\neorz\n", "35\nozrorrooeoeeeozonoenzoeoreenzrzenen\n", "40\noeerzzozozzrezeezzzoroozrrreorrreereooeo\n", "300\noeeeneoenooonnoeeoonenoeeeooeeneoeneeeenoeooooenneneeneoneonnnonnonnnnennoneoonenoeononennnonoonneeoooeeeeneonooeoonoononoeeooennnneneneeneoononeeeennooeenooeoeoeneeoennooeeennenoonenneooenoenneneneoeonnneooooneeonoonnnnnoeoenoonnnennnoneeononeeeenoeeeoeoeoonnonoeneoneooooonoooneeeeooneneonnoneeoooe\n", "30\nooeoeneenneooeennnoeeonnooneno\n", "356\neeroooreoeoeroenezononnenonrnrzenonooozrznrezonezeeoeezeoroenoezrrrzoeoeooeeeezrrorzrooorrenznoororoozzrezeroerzrnnoreoeoznezrznorznozoozeoneeezerrnronrernzzrneoeroezoorerzrneoeoozerenreeozrneoeozeoeonzernneoeozooeeoezoroeroeorzeeeeooozooorzeeorzreezeezooeeezeooeozreooeoooeoenzrezonrnzoezooeoneneeozrnozooooeoeozreezerzooroooernzneozzznnezeneennerzereonee\n", "400\nzzzerrzrzzrozrezooreroeoeezerrzeerooereezeeererrezrororoorrzezoeerrorzrezzrzoerrzorrooerzrzeozrrorzzzzeoeereeroeozezeozoozooereoeorrzoroeoezooeerorreeorezeozeroerezoerooooeerozrrorzozeroereerozeozeoerroroereeeerzzrzeeozrezzozeoooeerzzzorozrzezrrorozezoorzzerzroeeeerorreeoezoeroeeezerrzeorzoeorzoeeororzezrzzorrreozzorzroozzoereorzzroozoreorrrorezzozzzzezorzzrzoooorzzzrrozeezrzzzezzoezeozoooezroozez\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneorzorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooereorzozeoerznoonzrzneonzreoeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeznonzreenororeeeznoeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "3\nnoe\n", "4\nezro\n", "40\noeooereerrroerrrzoorozzzeezerzzozozzreeo\n", "30\nonenoonnoeeonnneeooenneeneoeoo\n", "356\neenoerezrenneenezennzzzoenznreoooroozrezeerzoeoeoooozonrzoeenenoeoozeoznrnozerzneoeoooeooerzoeooezeeeoozeezeerzroeezrooozoooeeeezroeoreorozeoeeoozoeoennreznoeoezoeoenrzoeernerezooeoenrzreroozeoreoenrzznrernornrrezeeenoezoozonzronzrzenzoeoeronnrzreorezerzzoororoonznerrooorzrorrzeeeeooeoeozrrrzeoneoroezeeoeezenozernzrzooononezrnrnonennonozeneoreoeoeroooree\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonzeonenennnenonroenenoeeeoeorzerreooroeoreoneoeeoerznoenzrznoonzreoezozroereoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozrozroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezenoeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "10\nreoeeoonzn\n", "32\noeonznznenononnerooooooeeeeeenre\n", "300\neoooeenonnoenenooeeeenooonoooooenoeneononnooeoeoeeeoneeeenonoeenonnnennnooneoeonnnnnoonoeenooooennnoeoenenenneoneooennenoonenneeeoonneoeeneoeoeooneeoonneeeenonooeneenenennnneooeeononoonooeoonoeneeeeoooeennoononnnenonoeonenooenonnennnnonnonnnoenoeneenenneooooeoneeeeneoeneeooeeeonenooeeonnoooneoeneeeo\n", "3\none\n", "35\nnenezrzneeroeozneonozoeeeoeoorrorzo\n", "400\nzzzezrzrzzrozrezooreroeoeezerrzeerooereezeeererrezrororoorrzezoeerrorzrezzrzoerrzorrooerzrreozrrorzzzzeoeereeroeozezeozoozooereoeorrzoroeoezooeerorreeorezeozeroerezoerooooeerozrrorzozeroereerozeozeoerroroereeeerzzrzeeozrezzozeoooeerzzzorozrzezrrorozezoorzzerzroeeeerorreeoezoeroeeezerrzeorzoeorzoeeororzezrzzorrreozzorzroozzoereorzzroozoreorrrorezzozzzzezorzzrzoooorzzzrrozeezrzzzezzoezeozoooezroozez\n", "4\norze\n", "40\noeooereerrroerrrzozrozzzeezerzzozoozreeo\n", "30\nooeoeneenneoooennnoeeonnoonene\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzreoeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeznonzreenororeeeznoeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "4\nroze\n", "4\nozre\n", "40\noeerzoozozzrezeezzzorzozrrreorrreereooeo\n", "30\nenenoonnoeeonnneoooenneeneoeoo\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonzeonenennnenonroenenoeeeoeorzerreooroeoreoneoeeoerznoenzrznoonzreoezozrozreoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozroeroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezenoeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "4\nzore\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonoeonenennnenonroenenoeeeoeorzerreooroeoreoneoeezerznoenzrznoonzreoezozrozreoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozroeroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezenoeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "4\nzroe\n", "3\neon\n", "10\nreoneoonze\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonoeonenennnenonroenenoeeeoeorzerreooroeoreoneoeeoerznoenzrznoonzreoezozroereoooznzenzenereernrroozeereoeeeozeezenneroooeenzeozooooonozrozroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezenoeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "4\nzeor\n", "3\nneo\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrrooneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezonrozrzoz\n", "3\neno\n", "350\nzzornzoereooreozeoeeeezezrnzzeozorororznoenzoozrozezrnornrrrooneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezonrozrzoz\n", "350\nzozrzornozeeeenneorernooeozronozeoeeeonzeeeroroneerznonoeonenennnenonroenenoeeeoeorzerreooroeoreoneoeezerznoenzrznoonzreoezozrozreoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozroeroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezenoeeeenoorrrnronrzezorzoozneonzrororozoezznrzezeeeeoezoerooereoznrozz\n", "300\noeeeneoenooonnoeeoonenoeeeooeeneoeneeeenoeooooenneneeneoneonnnonnonnnnennoneoonenoeononennnonoonneeoooeeeeneonooeoonoononoeeooennnneneneeneoononeeeennooeonooeoeoeneeeennooeeennenoonenneooenoenneneneoeonnneooooneeonoonnnnnoeoenoonnnennnoneeononeeeenoeeeoeoeoonnonoeneoneooooonoooneeeeooneneonnoneeoooe\n", "356\neeroooreoeoeroenezononnenonrnezenonooozrznrezonezeeoeezeoroenoezrrrzoeoeooeeeezrrorzrooorrenznoororoozzrezeroerzrnnoreoeoznezrznorznozoozeoneeezerrnronrernzzrneoeroezoorerzrneoeoozerenreeozrneoeozeoeonzernneoeozooreoezoroeroeorzeeeeooozooorzeeorzreezeezooeeezeooeozreooeoooeoenzrezonrnzoezooeoneneeozrnozooooeoeozreezerzooroooernzneozzznnezeneennerzereonee\n", "350\nzzornzoereooreoeooeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneorzorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooereorzozeoerznoonzrzneonzreoeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeznonzreenororeeezneeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "4\nozer\n", "10\nnenoozeoer\n", "40\noeerzzozozzrereezzzoroozrrreorrreezeooeo\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonzeonenennnenonroenenoeeeoeorzerreooroeoreoneoeeoerznoenzrznoonzreoezozroereoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozrozroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooonreeeeeeeozonroezenoeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "10\nreozeoonen\n", "4\neroz\n", "4\nzoer\n", "3\noen\n", "10\nnenooezoer\n", "4\nreoz\n", "32\nerneeneeeoooooorennonoeenznznoeo\n", "300\noeeeneoenooonnoeeoonenoeeeooeeneoeneeeenoeooooenneneeneoneonnnonnoonnnennoneoonenoeononennnonoonneeoooeeeeneonooeoonoononoeeooennnneneneeneoononeeeennooeenooeoeoeneeoennooeeennenoonenneooenoenneneneoeonnneooooneeonoonnnnnoeoenoonnnennnoneeononeeeenoeeeoeoeoonnonneneoneooooonoooneeeeooneneonnoneeoooe\n", "30\noneeoonnoeeonnneeooenneeneonoo\n", "40\noeoeoreerrroerrrzozrozzzeezerzzozoozreeo\n", "32\nerneeeeeeoooooorennononenznznoeo\n", "30\nooeoeneennenooennnoeeonooonene\n", "4\norez\n", "4\nerzo\n", "40\noeooerzerrroerrreozrozzzeezerzzozoozreeo\n", "4\nzreo\n", "35\nozronrooeoeeeozonoerzoeoreenzrzenen\n", "10\neznooenoer\n", "4\nroez\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrrooneeeeoneznornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznooezrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezonrozrzoz\n", "350\nzzornzoereooreozeoeeoezezrnzzeozorororznoenzoozrozezrnornrrrooneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornenennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezonrozrzoz\n", "10\nzenooneoer\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonzeonenennnenonroenenoeeeoeorzenreooroeoreoneoeeoerznoenzrznoonzreoezozroereoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozrozroenenreeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooonreeeeeeeozonroezenoeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "4\nrzoe\n", "400\nzezoorzeooozoezeozzezzzrzeezorrzzzroooozrzzrozezzzzozzerorrroerozoorzzroereozzoorzrozzoerrrozzrzezroroeeozroeozroezrrezeeeoreozeoeerroreeeeorzrezzroozezororrzezrzorozzzreeoooezozzerzoeezrzzreeeereororreoezoezoreereorezozrorrzoreeooooreozereorezoezeroeerroreeoozeoeorozrroeoereoozoozoezezoeoreereeoezzzzrorrzoerrzreoorrozrreozrzzerzrorreeozezrroorororzerrereeezeereooreezrrezeeoeoreroozerzorzzrzrzezzz\n", "30\noonoeneenneooeennnoeeonnooeeno\n", "40\noeerzoozozzrezeezzzorzozrrreorrreeroeoeo\n", "32\nerneeeeeeooooooernnononenznznoeo\n", "30\nenenooonoeeonnneoonenneeneoeoo\n", "40\noeerzoozozzrezeezzzorzoerrreorrrezreooeo\n", "35\nnenezrzneeroeozreonozoeeeoeoornorzo\n", "350\nzozrzornozeeeenneorernooeozronozeoeeeonzeeeroroneerznonoeonenennnenonroenenoeeeoeorzerreooroeoreoneoeezerznoenzrzeoonzreoezozrozreoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozroeroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonronzenoeeeenoorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "350\nzozrzornozeeeenneorernooeozronozeoeeeonzeeeroroneerznonoeonenennnenenroenenoeeeoeorzerreooroeoreoneoeezerznoenzrznoonzreoezozrozreoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozroeroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezenoeeeenoorrrnronrzezorzoozneonzrororozoezznrzezeoeeoezoerooereoznrozz\n", "10\nzeneoneoor\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornozoeeeeeeernoooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeerneneorzorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooereorzozeoerznoonzrzneonzreoeeoenoeroeorooernezroeoeeeoneneornonennnenenoeznonzreenororeeeznoeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "32\noeonznznenononnreooooooeeeeeenre\n", "35\nnenezrenezroeozreonozoeeeoeoornorzo\n", "350\nzozrzornozeeeenneorernooeozronozeoeeeonzeeeroroneerznonoeonenennnenonroenenoeeeoeorzerreooroeoreoneoeezerznoenzrzeoonzreoezozrozreoooznzenzenereernrreozeereoeeeozeezenneroooeenoeozooooonozroeroenenneeoonoozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonronzenoeeeenoorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "32\noeonznzneeoeonnerooooooneeneenre\n", "35\nnenezrzneeooeozneonozoeeereoorrorzo\n", "40\noeooereerrroerrrzoorozzzeezerzzozezzroeo\n", "30\nenenoonnoeeonnneooeenneeneoooo\n", "350\nzozrzoroozeeeenneorernooeozronozeoeeeonzeeeroroneerznonzeonenennnenonroenenoeeeoeorzerreooroeoreoneoeenerznoenzrznoonzreoezozroereoooznzenzenereernrroozeereoeeeozeezenneroooeenoeozooooonozrozroenenneeooneozonerrezeoernoonooeozorrozeooeeeoooroneoozoeznzzeeorrzoooznreeeeeeeooonroezeooeeeennorrrnronrzezorzooznzonzrororozoezznrzezeeeeoeeoerooereoznrozz\n", "10\nnznooeroee\n", "300\neoooeenonnoenenooeeeenooonoooooenoeneononnooeoeoeeeoneeeenonoeenonnnennnooneoeonnnnnoonoeenooooennnoeoenenenneoneooennenoonenneeeoonneoeeneoeoeooneeoonneeeenonooeneenenennnneooenononoonooeoonoeneeeeoooeennoononnnenonoeonenooenonnennnnoneonnnoenoeneenenneooooeoneeeeneoeneeooeeeonenooeeonnoooneoeneeeo\n", "30\nnnenoonnoeeonnneeooeoneeneoeoo\n", "4\nzero\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoenonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzreoeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeznonzreeoororeeeznoeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "350\nzzornzoereooreoeeoeeeezezrnzzeozorororznoznzoozrozezrnornrrronneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneorzorzonooooozoezneeooorennezeezoeeeoereezoorrnreerenezneznzoooereorzozeoerznoonzrzneonzreoeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezoorozrzoz\n", "350\nzzornzoereooreoeeoeeeezezrnzoeozorororznoznzoozrozezrnornrrrooneeeeonezeornoooeeeeeeernzooozrroeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornznennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezonrozrzoz\n", "350\nzzornzoereooreozeoeeeezezrnzzeozorororznoenzoozrozezrnornrrrooneeeeonezeornoooreeeeeernzooozreoeezznzeozooenoroooeeeooezorrozoeoonoonreoezerrenozoenooeenneneoreorzonooooozoeoneeooorennezeezoeeeoereezoorrnreerenezneznzoooerzorzozeoerznoonzrzneonzrezeeoenoeroeorooerrezroeoeeeoneneornonennnenenoeononzreenororeeeznoeeeoezonorzoeoonreroenneeeezonrozrzoz\n", "300\noeeeneoenooonnoeeoonenoeeeooeeneoeneeeenoeooooenneneeneoneonnnonnonnnnennoneoonenoeononennnonoonneeoooeeeeneonooeoonoononoeeooennnneneneeneoononeoeennooeonooeoeoeneeeennooeeennenoonenneooenoenneneneoeonnneooooneeonoonnnnnoeoenoennnennnoneeononeeeenoeeeoeoeoonnonoeneoneooooonoooneeeeooneneonnoneeoooe\n" ], "output": [ "0\n", "1\n1\n0\n", "1\n1\n1\n1\n1\n1\n1\n1\n0\n0\n", "0\n", "1\n1\n1\n1\n1\n0\n0\n0\n0\n0\n", "0\n0\n0\n0\n0\n0\n0\n0\n0\n0\n", "1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n", "1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n", 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2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: When Serezha was three years old, he was given a set of cards with letters for his birthday. They were arranged into words in the way which formed the boy's mother favorite number in binary notation. Serezha started playing with them immediately and shuffled them because he wasn't yet able to read. His father decided to rearrange them. Help him restore the original number, on condition that it was the maximum possible one. Input The first line contains a single integer n (1 ⩽ n ⩽ 10^5) — the length of the string. The second line contains a string consisting of English lowercase letters: 'z', 'e', 'r', 'o' and 'n'. It is guaranteed that it is possible to rearrange the letters in such a way that they form a sequence of words, each being either "zero" which corresponds to the digit 0 or "one" which corresponds to the digit 1. Output Print the maximum possible number in binary notation. Print binary digits separated by a space. The leading zeroes are allowed. Examples Input 4 ezor Output 0 Input 10 nznooeeoer Output 1 1 0 Note In the first example, the correct initial ordering is "zero". In the second example, the correct initial ordering is "oneonezero". ### Input: 4 ezor ### Output: 0 ### Input: 10 nznooeeoer ### Output: 1 1 0 ### Code: n = int(input()) s = input() for i in range(s.count('n')): print(1, end = ' ') for i in range(s.count('z')): print(0, end = ' ')
1245_C. Constanze's Machine_34561
Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'.
s=input() a=s.count('m') f=True ans=0 if(a>0): f=False a=s.count('w') if(a>0): f=False n=len(s) if(f==True): dp=[0]*(n+1) dp[0]=1 dp[1]=1 for i in range(2,n+1): if(s[i-1]==s[i-2] and (s[i-1]=='u' or s[i-1]=='n')): dp[i]=(dp[i-1]+dp[i-2])%1000000007 else: dp[i]=dp[i-1] print(dp[n]) else: print(0)
{ "input": [ "amanda\n", "nnn\n", "banana\n", "ouuokarinn\n", "ivoulebsbi\n", "fjyakzltbxkzfnbpcofxoqelqfvzogkadeecvxiqextvhctrzzdrbjyyrfxfjarhyodqddpznxnvfrnoaavhldjvqvzhktzjyyvi\n", "nnnnnnnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuunnnnnnnnnnnnnnnnnnnnnuuuuuuuuuunnunnu\n", "a\n", "uuuuuuunnn\n", "mandaluyong\n", "rvqvupnfgn\n", "nunununu\n", "uuunnnuuunnn\n", "w\n", "qmwknxcyrykskllhwnxlvlmckdhfpkuizzkeixxdvxlqyrspdtuccnbvpcvktzgmgvvebmdfdjsoyfhzigwvxrklbiunhzxjnayk\n", "ivnulebsbi\n", "unnunnuuuuuuuuuunnnnnnnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuunnnnnnnnnnnnnnnnnnnnn\n", "uvuuuuunnn\n", "gnoyuladnam\n", "nununuun\n", "uuuonnuuunnn\n", "ouuakorinn\n", "uvunuuunun\n", "nnnunvuu\n", "ivyyjztkhzvqvjdlhvaaonrfvnxnzpddqdoyhrajfxfryyjbrdzzrtchvtxeqixvceedakgozvfqleqoxfocpbnfzkxbtlzkayjf\n", "`\n", "svqvupnfgn\n", "x\n", "qmwknxcyrykskllhwnxlvlmckdhfpkuizzkeixxdvxlqyrspdtuccnbvpcvktzgmgvvfbmdfdjsoyfhzigwvxrklbiunhzxjnayk\n", "bmanda\n", "non\n", "bananb\n", "ibnulebsvi\n", "ivyyjztkhzvqvjdlhvaaonrfvnxnzpddqdoyhrajfxfryyjbrd{zrtchvtxeqixvceedakgozvfqleqoxfocpbnfzkxbtlzkayjf\n", "nnnnnnnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuunnnnnnnnnnnnnnnnnnnnnuuuuuuuuuunnumnu\n", "b\n", "nnnuuuuuvu\n", "gnoyulaenam\n", "svqfupnvgn\n", "nununvun\n", "uuuonnuuunmn\n", "y\n", "qmwknxcyrykskllhwnxlvlmcjdhfpkuizzkeixxdvxlqyrspdtuccnbvpcvktzgmgvvfbmdfdjsoyfhzigwvxrklbiunhzxjnayk\n", "nmabda\n", "nom\n", "banamb\n", "ouuakprinn\n", "ibnukebsvi\n", "ivyyjztkhzvqvjdlhvaaonrfvnxnzpddqdoyhrajfxgryyjbrd{zrtchvtxeqixvceedakgozvfqleqoxfocpbnfzkxbtlzkayjf\n", "nnnnnnnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuuuuuuuuuuuuuuutuuuuuuuuuuuunnnnnnnnnnnnnnnnnnnnnuuuuuuuuuunnumnu\n", "c\n", "gooyulaenam\n", "svqpufnvgn\n", "nmnuuunnouuu\n", "z\n", "qmwknxcyqykskllhwnxlvlmcjdhfpkuizzkeixxdvxlqyrspdtuccnbvpcvktzgmgvvfbmdfdjsoyfhzigwvxrklbiunhzxjnayk\n", "nambda\n", "mon\n", "aanamb\n", "ouubkprinn\n", "ibnukeasvi\n", "ivyyjztkhzvqvjdlhvaaonrfvnxnzpddqdoyhrajfxgryyjbrd{zrtchvtxeqixvceedakgozvfqleqoxfocpbnfzkxbtlzk`yjf\n", "nnnnnnnnnnnnnnnnnnnnnuuuuuuuuuuuuuuuuuuuuuuuuuuuuutuuuuuuuuuuuunnnnnnnnnnnnnunnnnnnnuunuuuuuuunnumnu\n", "d\n", "uvunuuunuo\n", "mooyulaenag\n", "ngvnfupqvs\n", "nunnnvuu\n", "umnuunnnouuu\n", "{\n", "qmwknxcyqykskllhwnxlvlmcjdhfpkuizzkeixxdvxlqyrspdtuccnbvpcvktzgmgvvfbmdfdjsoyfh{igwvxrklbiunhzxjnayk\n", "nambd`\n", "omn\n", "aamanb\n", "nnirpkbuuo\n", "ibnukeasvh\n", "ivyyjztkhzvqvjdlhvaaonrfvnxnzpddqdoyhrajfxgryyjbrd{zrtchvtxeqixvceedakgozvfqleqoxfocpbnfzkxbtlzk`xjf\n", "nnnnnunnnnnnnnnnnnnnnuuuuuuuuunuuuuuuuuuuuuuuuuuuutuuuuuuuuuuuunnnnnnnnnnnnnunnnnnnnuunuuuuuuunnumnu\n", "e\n", "uvunuuumuo\n", "looyulaenag\n", "ngvnpufqvs\n", "ntnnnvuu\n", "uunuunnnomuu\n", "v\n", "qmwknxcyqykskllhwnxlvlmcjdhfpkuizzkeiyxdvxlqyrspdtuccnbvpcvktzgmgvvfbmdfdjsoyfh{igwvxrklbiunhzxjnayk\n", "nmabd`\n", "omo\n", "abmanb\n", "nnirpkbuto\n", "hvsaekunbi\n", "iuyyjztkhzvqvjdlhvaaonrfvnxnzpddqdoyhrajfxgryyjbrd{zrtchvtxeqixvceedakgozvfqleqoxfocpbnfzkxbtlzk`xjf\n", "unmunnuuuuuuunuunnnnnnnunnnnnnnnnnnnnuuuuuuuuuuuutuuuuuuuuuuuuuuuuuuunuuuuuuuuunnnnnnnnnnnnnnnunnnnn\n", "f\n", "uwunuuumuo\n", "looyulaenah\n", "ngvnpsfqvu\n", "ntnnnwuu\n", "uumonnnuunuu\n", "u\n", "qmwknxcyqykskllhwnxlvlmcjdhfpkuizzkeiyxdvxlqyrspdtfccnbvpcvktzgmgvvfbmdudjsoyfh{igwvxrklbiunhzxjnayk\n", "nmaad`\n", "pmo\n", "mbaanb\n", "noirpkbuuo\n", "hvskeaunbi\n", "iuyyjztkhzvqvedlhvaaonrfvnxnzpddqdoyhrajfxgryyjbrd{zrtchvtxeqixvceedakgozvfqljqoxfocpbnfzkxbtlzk`xjf\n", "unmunnuuuuuuunuunnnnnnnunnnnunnnnnnnnuuuuuuuuuuuutuuuuuuuuuuuuuuuuununuuuuuuuuunnnnnnnnnnnnnnnunnnnn\n", "g\n", "uwunuuumto\n", "hanealuyool\n", "nfvnpsfqvu\n", "uuwnnntn\n", "uumunnnounuu\n", "t\n" ], "output": [ "0\n", "3\n", "1\n", "4\n", "1\n", "1\n", "281595619\n", "1\n", "63\n", "0\n", "1\n", "1\n", "81\n", "0\n", "0\n", "1\n", "281595619\n", "24\n", "0\n", "2\n", "54\n", "4\n", "3\n", "6\n", "1\n", "1\n", "1\n", "1\n", "0\n", "0\n", "1\n", "1\n", "1\n", "1\n", "0\n", "1\n", "24\n", "0\n", "1\n", "1\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "4\n", "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "4\n", "1\n", "1\n", "0\n", "1\n", "3\n", "0\n", "1\n", "6\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "4\n", "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "6\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "2\n", "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "2\n", "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Constanze is the smartest girl in her village but she has bad eyesight. One day, she was able to invent an incredible machine! When you pronounce letters, the machine will inscribe them onto a piece of paper. For example, if you pronounce 'c', 'o', 'd', and 'e' in that order, then the machine will inscribe "code" onto the paper. Thanks to this machine, she can finally write messages without using her glasses. However, her dumb friend Akko decided to play a prank on her. Akko tinkered with the machine so that if you pronounce 'w', it will inscribe "uu" instead of "w", and if you pronounce 'm', it will inscribe "nn" instead of "m"! Since Constanze had bad eyesight, she was not able to realize what Akko did. The rest of the letters behave the same as before: if you pronounce any letter besides 'w' and 'm', the machine will just inscribe it onto a piece of paper. The next day, I received a letter in my mailbox. I can't understand it so I think it's either just some gibberish from Akko, or Constanze made it using her machine. But since I know what Akko did, I can just list down all possible strings that Constanze's machine would have turned into the message I got and see if anything makes sense. But I need to know how much paper I will need, and that's why I'm asking you for help. Tell me the number of strings that Constanze's machine would've turned into the message I got. But since this number can be quite large, tell me instead its remainder when divided by 10^9+7. If there are no strings that Constanze's machine would've turned into the message I got, then print 0. Input Input consists of a single line containing a string s (1 ≤ |s| ≤ 10^5) — the received message. s contains only lowercase Latin letters. Output Print a single integer — the number of strings that Constanze's machine would've turned into the message s, modulo 10^9+7. Examples Input ouuokarinn Output 4 Input banana Output 1 Input nnn Output 3 Input amanda Output 0 Note For the first example, the candidate strings are the following: "ouuokarinn", "ouuokarim", "owokarim", and "owokarinn". For the second example, there is only one: "banana". For the third example, the candidate strings are the following: "nm", "mn" and "nnn". For the last example, there are no candidate strings that the machine can turn into "amanda", since the machine won't inscribe 'm'. ### Input: amanda ### Output: 0 ### Input: nnn ### Output: 3 ### Code: s=input() a=s.count('m') f=True ans=0 if(a>0): f=False a=s.count('w') if(a>0): f=False n=len(s) if(f==True): dp=[0]*(n+1) dp[0]=1 dp[1]=1 for i in range(2,n+1): if(s[i-1]==s[i-2] and (s[i-1]=='u' or s[i-1]=='n')): dp[i]=(dp[i-1]+dp[i-2])%1000000007 else: dp[i]=dp[i-1] print(dp[n]) else: print(0)
1265_A. Beautiful String_34565
A string is called beautiful if no two consecutive characters are equal. For example, "ababcb", "a" and "abab" are beautiful strings, while "aaaaaa", "abaa" and "bb" are not. Ahcl wants to construct a beautiful string. He has a string s, consisting of only characters 'a', 'b', 'c' and '?'. Ahcl needs to replace each character '?' with one of the three characters 'a', 'b' or 'c', such that the resulting string is beautiful. Please help him! More formally, after replacing all characters '?', the condition s_i ≠ s_{i+1} should be satisfied for all 1 ≤ i ≤ |s| - 1, where |s| is the length of the string s. Input The first line contains positive integer t (1 ≤ t ≤ 1000) — the number of test cases. Next t lines contain the descriptions of test cases. Each line contains a non-empty string s consisting of only characters 'a', 'b', 'c' and '?'. It is guaranteed that in each test case a string s has at least one character '?'. The sum of lengths of strings s in all test cases does not exceed 10^5. Output For each test case given in the input print the answer in the following format: * If it is impossible to create a beautiful string, print "-1" (without quotes); * Otherwise, print the resulting beautiful string after replacing all '?' characters. If there are multiple answers, you can print any of them. Example Input 3 a???cb a??bbc a?b?c Output ababcb -1 acbac Note In the first test case, all possible correct answers are "ababcb", "abcacb", "abcbcb", "acabcb" and "acbacb". The two answers "abcbab" and "abaabc" are incorrect, because you can replace only '?' characters and the resulting string must be beautiful. In the second test case, it is impossible to create a beautiful string, because the 4-th and 5-th characters will be always equal. In the third test case, the only answer is "acbac".
def inp(): return [int(s) for s in input().split()] if __name__ == '__main__': for i in range(int(input())): s = input() output = '' if len(s) == 1 and s[0] == '?': s = 'a' for j in range(len(s)): if s[j] != '?': output += s[j] continue av = ['a', 'b', 'c', '?', '?'] if j == 0: av.remove(s[j + 1]) output += av[0] elif j == (len(s) - 1): av.remove(output[j - 1]) output += av[0] else: av.remove(s[j + 1]) if output[j - 1] in av: av.remove(output[j - 1]) output += av[0] flag = True for j in range(1, len(output)): if output[j - 1] == output[j]: flag = False break if flag: print(output) else: print(-1)
{ "input": [ "3\na???cb\na??bbc\na?b?c\n", "23\n?\n??\n???\n????\n????\n?a\n?b\n?c\na?\nb?\nc?\n?a?\n?b?\n?c?\na?a\na?b\na?c\nb?a\nb?b\nb?c\nc?a\nc?b\nc?c\n", "3\na???cb\na??bbc\nc?b?a\n", "3\na???cb\na??bbc\ncab??\n", "3\na???cb\na??bbb\na?b?c\n", "3\na???cb\na??bbc\nc?a?a\n", "3\na???cb\na??bbb\na?c?b\n", "3\na???cb\nbbb??a\na>c?b\n", "3\na???cb\na??bbb\na?a?c\n", "3\na???cb\nab??bc\na?b?c\n", "3\nb???cb\na??bbb\na?c?b\n", "3\na?c??b\na??bbc\nc?a?a\n", "23\n?\n??\n???\n????\n????\n?a\n?b\n@c\na?\nb?\nc?\n?a?\n?b?\n?c?\na?a\na?b\na?c\nb?a\nb?b\nb?c\nc?a\nc?b\nc?c\n", "3\na???cc\na??bbb\na?b?c\n", "3\n?a??cb\na??bbc\nc?a?a\n", "3\na???cb\na??bcc\n??bad\n", "3\na?c??b\nbbb??a\na>c?b\n", "3\na???cb\na??bbc\nc?aa?\n", "3\na?c??b\nbbb??a\na>b?b\n", "3\na???cb\na??bcc\nbac??\n", "3\na???cb\ncbb??a\nc?c?a\n", "3\nb???cb\nb??bab\na?c?b\n", "3\na???cc\na??bbc\na>c?b\n", "3\na???cb\na??bbb\na?b?b\n", "3\na???cb\na??bbc\n>ac?b\n", "3\na???cc\nb??abb\nc?b?a\n", "3\na???cc\n??abbb\na>b?c\n", "3\na???cc\n??abbb\nb>a?c\n", "3\na???cc\ncbb>?a\na?c>b\n", "3\nbca???\nabb?c?\na?b?c\n", "3\na???cb\ncbb??a\na?b>c\n", "3\na???cb\na??bbd\n?cb?a\n", "3\na???cc\na??bbc\ncab??\n", "3\na???cb\nbbb??a\na?c?c\n", "3\na???cc\na??abb\na?c?b\n", "3\nb???ca\nab??bc\na?b?c\n", "3\na???cb\na??bbc\na>b?b\n", "3\na???cc\na??bbc\na>c@b\n", "3\nac??c?\nb??abb\nc?b?a\n", "3\na???cb\ncbb??a\na?c>c\n", "3\na???cc\na??bbd\n?cb?a\n", "3\na???cc\na??bbc\na@c>b\n", "3\na???cc\na??bcc\na>b?b\n", "3\na???cb\na??bcc\ncab??\n", "3\na???cb\nccb??a\ncab??\n", "3\na???cb\nbbb??a\na?c?b\n", "3\na???cb\ncbb??a\na?b?c\n", "3\na???cb\n?a?bbc\nc?b?a\n", "3\na???cb\na??abb\na?c?b\n", "3\na???cb\ncbb??a\nc?b?a\n", "3\na???cb\nabb??c\na?b?c\n", "3\na???cb\na??bbc\nc?ba?\n", "3\na???cb\ncbb??a\na>c?b\n", "3\na???cb\na??bbb\nc?a?a\n", "3\na???cb\na??bbc\na>c?b\n", "3\n?a??cb\n??abbc\nc?a?a\n", "3\na???cb\nabb??c\na?a?c\n", "3\na???cc\nb??abb\na?b?c\n", "3\na?c??b\na??bbb\na>c?b\n", "3\na???cb\na??bbc\nc?c?a\n", "3\na???cb\nc??bba\na?a?c\n", "3\na???cb\n?bb?ba\na?c?b\n", "3\na???cb\nccb??a\na?b?c\n", "3\na???cb\na??abb\na?a?c\n", "3\na???cb\ncbb??a\nc?ba?\n", "3\nb???cb\nbbb??a\na?c?b\n", "3\na???cc\nabb??c\na?b?c\n", "3\na???cc\n??abbb\na?b?c\n", "3\na???cc\ncbb??a\na>c?b\n", "3\n???acc\nabb??c\na?b?c\n", "3\na???cc\ncbb>?a\na>c?b\n", "3\n???acc\nabb?c?\na?b?c\n", "3\ncca???\nabb?c?\na?b?c\n", "3\nc???bb\na??bbb\na?c?b\n", "3\na???cb\na??cbb\nc?ba?\n", "3\ncc???a\na??bbb\na?b?c\n", "3\na?c??b\na??bbc\na>b?b\n", "3\na???cc\na??bcc\na>c?b\n", "3\n???acc\nabb??c\na>b?c\n", "3\na???cc\n>?abbb\na>b?c\n", "3\na???cc\nbbc>?a\na>c?b\n", "3\n???acc\nabb>c?\na?b?c\n", "3\na???cc\n??abba\nb>a?c\n", "3\na??cc?\ncbb>?a\na?c>b\n", "3\ncca>??\nabb?c?\na?b?c\n", "3\ncc???a\na??abb\na?c?b\n", "3\nbb???c\na??bbb\na?c?b\n" ], "output": [ "ababcb\n-1\nacbac\n", "a\nab\naba\nabab\nabab\nba\nab\nac\nab\nba\nca\nbab\naba\naca\naba\nacb\nabc\nbca\nbab\nbac\ncba\ncab\ncac\n", "ababcb\n-1\ncabca\n", "ababcb\n-1\ncabab\n", "ababcb\n-1\nacbac\n", "ababcb\n-1\ncbaba\n", "ababcb\n-1\nabcab\n", "ababcb\n-1\na>cab\n", "ababcb\n-1\nababc\n", "ababcb\nabacbc\nacbac\n", "babacb\n-1\nabcab\n", "abcacb\n-1\ncbaba\n", "a\nab\naba\nabab\nabab\nba\nab\n@c\nab\nba\nca\nbab\naba\naca\naba\nacb\nabc\nbca\nbab\nbac\ncba\ncab\ncac\n", "-1\n-1\nacbac\n", "babacb\n-1\ncbaba\n", "ababcb\n-1\nacbad\n", "abcacb\n-1\na>cab\n", "ababcb\n-1\n-1\n", "abcacb\n-1\na>bab\n", "ababcb\n-1\nbacab\n", "ababcb\n-1\ncacba\n", "babacb\nbacbab\nabcab\n", "-1\n-1\na>cab\n", "ababcb\n-1\nacbab\n", "ababcb\n-1\n>acab\n", "-1\n-1\ncabca\n", "-1\n-1\na>bac\n", "-1\n-1\nb>abc\n", "-1\n-1\nabc>b\n", "bcabab\n-1\nacbac\n", "ababcb\n-1\nacb>c\n", "ababcb\n-1\nacbca\n", "-1\n-1\ncabab\n", "ababcb\n-1\nabcac\n", "-1\n-1\nabcab\n", "babaca\nabacbc\nacbac\n", "ababcb\n-1\na>bab\n", "-1\n-1\na>c@b\n", "acabca\n-1\ncabca\n", "ababcb\n-1\nabc>c\n", "-1\n-1\nacbca\n", "-1\n-1\na@c>b\n", "-1\n-1\na>bab\n", "ababcb\n-1\ncabab\n", "ababcb\n-1\ncabab\n", "ababcb\n-1\nabcab\n", "ababcb\n-1\nacbac\n", "ababcb\n-1\ncabca\n", "ababcb\n-1\nabcab\n", "ababcb\n-1\ncabca\n", "ababcb\n-1\nacbac\n", "ababcb\n-1\ncabab\n", "ababcb\n-1\na>cab\n", "ababcb\n-1\ncbaba\n", "ababcb\n-1\na>cab\n", "babacb\n-1\ncbaba\n", "ababcb\n-1\nababc\n", "-1\n-1\nacbac\n", "abcacb\n-1\na>cab\n", "ababcb\n-1\ncacba\n", "ababcb\n-1\nababc\n", "ababcb\n-1\nabcab\n", "ababcb\n-1\nacbac\n", "ababcb\n-1\nababc\n", "ababcb\n-1\ncabab\n", "babacb\n-1\nabcab\n", "-1\n-1\nacbac\n", "-1\n-1\nacbac\n", "-1\n-1\na>cab\n", "-1\n-1\nacbac\n", "-1\n-1\na>cab\n", "-1\n-1\nacbac\n", "-1\n-1\nacbac\n", "-1\n-1\nabcab\n", "ababcb\n-1\ncabab\n", "-1\n-1\nacbac\n", "abcacb\n-1\na>bab\n", "-1\n-1\na>cab\n", "-1\n-1\na>bac\n", "-1\n-1\na>bac\n", "-1\n-1\na>cab\n", "-1\n-1\nacbac\n", "-1\n-1\nb>abc\n", "-1\n-1\nabc>b\n", "-1\n-1\nacbac\n", "-1\n-1\nabcab\n", "-1\n-1\nabcab\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: A string is called beautiful if no two consecutive characters are equal. For example, "ababcb", "a" and "abab" are beautiful strings, while "aaaaaa", "abaa" and "bb" are not. Ahcl wants to construct a beautiful string. He has a string s, consisting of only characters 'a', 'b', 'c' and '?'. Ahcl needs to replace each character '?' with one of the three characters 'a', 'b' or 'c', such that the resulting string is beautiful. Please help him! More formally, after replacing all characters '?', the condition s_i ≠ s_{i+1} should be satisfied for all 1 ≤ i ≤ |s| - 1, where |s| is the length of the string s. Input The first line contains positive integer t (1 ≤ t ≤ 1000) — the number of test cases. Next t lines contain the descriptions of test cases. Each line contains a non-empty string s consisting of only characters 'a', 'b', 'c' and '?'. It is guaranteed that in each test case a string s has at least one character '?'. The sum of lengths of strings s in all test cases does not exceed 10^5. Output For each test case given in the input print the answer in the following format: * If it is impossible to create a beautiful string, print "-1" (without quotes); * Otherwise, print the resulting beautiful string after replacing all '?' characters. If there are multiple answers, you can print any of them. Example Input 3 a???cb a??bbc a?b?c Output ababcb -1 acbac Note In the first test case, all possible correct answers are "ababcb", "abcacb", "abcbcb", "acabcb" and "acbacb". The two answers "abcbab" and "abaabc" are incorrect, because you can replace only '?' characters and the resulting string must be beautiful. In the second test case, it is impossible to create a beautiful string, because the 4-th and 5-th characters will be always equal. In the third test case, the only answer is "acbac". ### Input: 3 a???cb a??bbc a?b?c ### Output: ababcb -1 acbac ### Input: 23 ? ?? ??? ???? ???? ?a ?b ?c a? b? c? ?a? ?b? ?c? a?a a?b a?c b?a b?b b?c c?a c?b c?c ### Output: a ab aba abab abab ba ab ac ab ba ca bab aba aca aba acb abc bca bab bac cba cab cac ### Code: def inp(): return [int(s) for s in input().split()] if __name__ == '__main__': for i in range(int(input())): s = input() output = '' if len(s) == 1 and s[0] == '?': s = 'a' for j in range(len(s)): if s[j] != '?': output += s[j] continue av = ['a', 'b', 'c', '?', '?'] if j == 0: av.remove(s[j + 1]) output += av[0] elif j == (len(s) - 1): av.remove(output[j - 1]) output += av[0] else: av.remove(s[j + 1]) if output[j - 1] in av: av.remove(output[j - 1]) output += av[0] flag = True for j in range(1, len(output)): if output[j - 1] == output[j]: flag = False break if flag: print(output) else: print(-1)
1305_E. Kuroni and the Score Distribution_34571
Kuroni is the coordinator of the next Mathforces round written by the "Proof by AC" team. All the preparation has been done, and he is discussing with the team about the score distribution for the round. The round consists of n problems, numbered from 1 to n. The problems are ordered in increasing order of difficulty, no two problems have the same difficulty. A score distribution for the round can be denoted by an array a_1, a_2, ..., a_n, where a_i is the score of i-th problem. Kuroni thinks that the score distribution should satisfy the following requirements: * The score of each problem should be a positive integer not exceeding 10^9. * A harder problem should grant a strictly higher score than an easier problem. In other words, 1 ≤ a_1 < a_2 < ... < a_n ≤ 10^9. * The balance of the score distribution, defined as the number of triples (i, j, k) such that 1 ≤ i < j < k ≤ n and a_i + a_j = a_k, should be exactly m. Help the team find a score distribution that satisfies Kuroni's requirement. In case such a score distribution does not exist, output -1. Input The first and single line contains two integers n and m (1 ≤ n ≤ 5000, 0 ≤ m ≤ 10^9) — the number of problems and the required balance. Output If there is no solution, print a single integer -1. Otherwise, print a line containing n integers a_1, a_2, ..., a_n, representing a score distribution that satisfies all the requirements. If there are multiple answers, print any of them. Examples Input 5 3 Output 4 5 9 13 18 Input 8 0 Output 10 11 12 13 14 15 16 17 Input 4 10 Output -1 Note In the first example, there are 3 triples (i, j, k) that contribute to the balance of the score distribution. * (1, 2, 3) * (1, 3, 4) * (2, 4, 5)
import sys reader = (line.rstrip() for line in sys.stdin) input = reader.__next__ n, m = map(int, input().split()) def limit(n): if n < 3: return 0 if n ^ 1: return ((n - 1) * (n - 1)) >> 2 else: return ((n - 2) * n) >> 2 if m > limit(n): print(-1) sys.exit() elif not m: ans = [10 ** 8 + 1] while len(ans) < n: ans.append(ans[-1] + 10 ** 4) print(*ans) sys.exit() L = 3 R = n + 1 while L + 1 < R: k = (L + R) >> 1 if limit(k) > m: R = k else: L = k k = L ans = list(range(1, k + 1)) req = m - limit(k) if req > 0: ans.append(ans[-1] + ans[-2 * req]) k += 1 big_num = 10 ** 8 + 1 for i in range(k, n): ans.append(big_num) big_num += 10 ** 4 print(*ans)
{ "input": [ "4 10\n", "5 3\n", "8 0\n", "5000 0\n", "1 1\n", "5000 1560002\n", "8 11\n", "4400 3971342\n", "4500 3402837\n", "200 1405\n", "300 9685\n", "8 4\n", "4700 1977057\n", "80 1415\n", "8 10\n", "2 1\n", "2 0\n", "1000 249500\n", "8 2\n", "4800 1956195\n", "8 12\n", "1000 249501\n", "8 13\n", "100 807\n", "100 2504\n", "500 39290\n", "4200 4340405\n", "4600 2623481\n", "700 7382\n", "5000 1107458\n", "8 8\n", "8 0\n", "5000 6247500\n", "8 5\n", "4300 3480609\n", "40 288\n", "1500 391470\n", "5 3\n", "20 61\n", "15 39\n", "900 92810\n", "4000 1013264\n", "10 31\n", "150 2456\n", "10 5\n", "4100 3461447\n", "600 66437\n", "25 87\n", "8 1\n", "1 0\n", "60 293\n", "3000 464294\n", "4900 5883312\n", "5000 6235006\n", "400 23339\n", "5000 6247501\n", "1000 754969\n", "2000 17145\n", "800 116140\n", "1000 12217\n", "70 125\n", "5000 6000000\n", "50 101\n", "90 499\n", "30 202\n", "5000 1000000000\n", "8 6\n", "8 9\n", "8 3\n", "8 7\n", "5000 3112711\n", "10 11\n", "4401 3971342\n", "1982 3402837\n", "170 1405\n", "216 9685\n", "16 10\n", "4700 2562837\n", "10 10\n", "3 0\n", "9 3\n", "1010 249501\n", "100 1398\n", "500 20941\n", "4600 2066845\n", "1237 7382\n", "8955 1107458\n", "3 1\n", "4300 616984\n", "2003 391470\n", "6 3\n", "27 61\n", "26 39\n", "900 12107\n", "2304 1013264\n", "150 3015\n", "10 1\n", "814 66437\n", "25 78\n", "13 0\n", "69 293\n", "3310 464294\n", "8240 5883312\n", "400 11864\n", "6961 6247501\n", "2590 17145\n", "1000 15940\n", "70 55\n", "5445 6000000\n", "37 101\n", "90 319\n", "39 202\n", "7 1\n", "10 9\n", "9 7\n", "5 4\n", "3704 3112711\n", "10 17\n", "216 1405\n", "48 1415\n", "0 1\n", "1000 313990\n", "953 1956195\n", "1 6\n", "6 13\n", "101 2504\n", "1099 4340405\n", "4690 6247500\n", "2 5\n", "30 288\n", "10 56\n", "4100 6455251\n", "2513 6235006\n", "1100 754969\n", "800 167439\n", "5000 1000000001\n", "3 3\n", "5 10\n", "1 2\n", "1030 3971342\n", "1982 6016456\n", "152 9685\n" ], "output": [ "-1\n", "1 2 3 4 7 \n", "1 2 5 8 11 14 17 20 ", "1 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50 53 56 59 62 65 68 71 74 77 80 83 86 89 92 95 98 101 104 107 110 113 116 119 122 125 128 131 134 137 140 143 146 149 152 155 158 161 164 167 170 173 176 179 182 185 188 191 194 197 200 203 206 209 212 215 218 221 224 227 230 233 236 239 242 245 248 251 254 257 260 263 266 269 272 275 278 281 284 287 290 293 296 299 302 305 308 311 314 317 320 323 326 329 332 335 338 341 344 347 350 353 356 359 362 365 368 371 374 377 380 383 386 389 392 395 398 401 404 407 410 413 416 419 422 425 428 431 434 437 440 443 446 449 452 455 458 461 464 467 470 473 476 479 482 485 488 491 494 497 500 503 506 509 512 515 518 521 524 527 530 533 536 539 542 545 548 551 554 557 560 563 566 569 572 575 578 581 584 587 590 593 596 599 602 605 608 611 614 617 620 623 626 629 632 635 638 641 644 647 650 653 656 659 662 665 668 671 674 677 680 683 686 689 692 695 698 701 704 707 710 713 716 719 722 725 728 731 734 737 740 743 746 749 752 755 758 761 764 767 770 773 776 779 782 785 788 791 794 797 800 803 806 809 812 815 818 821 824 827 830 833 836 839 842 845 848 851 854 857 860 863 866 869 872 875 878 881 884 887 890 893 896 899 902 905 908 911 914 917 920 923 926 929 932 935 938 941 944 947 950 953 956 959 962 965 968 971 974 977 980 983 986 989 992 995 998 1001 1004 1007 1010 1013 1016 1019 1022 1025 1028 1031 1034 1037 1040 1043 1046 1049 1052 1055 1058 1061 1064 1067 1070 1073 1076 1079 1082 1085 1088 1091 1094 1097 1100 1103 1106 1109 1112 1115 1118 1121 1124 1127 1130 1133 1136 1139 1142 1145 1148 1151 1154 1157 1160 1163 1166 1169 1172 1175 1178 1181 1184 1187 1190 1193 1196 1199 1202 1205 1208 1211 1214 1217 1220 1223 1226 1229 1232 1235 1238 1241 1244 1247 1250 1253 1256 1259 1262 1265 1268 1271 1274 1277 1280 1283 1286 1289 1292 1295 1298 1301 1304 1307 1310 1313 1316 1319 1322 1325 1328 1331 1334 1337 1340 1343 1346 1349 1352 1355 1358 1361 1364 1367 1370 1373 1376 1379 1382 1385 1388 1391 1394 1397 1400 1403 1406 1409 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3659003 3665071 3671139 3677207 3683275 3689343 3695411 3701479 3707547 3713615 3719683 3725751 3731819 3737887 3743955 3750023 3756091 3762159 3768227 3774295 3780363 3786431 3792499 3798567 3804635 3810703 3816771 3822839 3828907 3834975 3841043 3847111 3853179 3859247 3865315 3871383 3877451 3883519 3889587 3895655 3901723 3907791 3913859 3919927 3925995 3932063 3938131 3944199 3950267 3956335 3962403 3968471 3974539 3980607 3986675 3992743 3998811 4004879 4010947 4017015 4023083 4029151 4035219 4041287 4047355 4053423 4059491 4065559 4071627 4077695 4083763 4089831 4095899 4101967 4108035 4114103 4120171 4126239 4132307 4138375 4144443 4150511 4156579 4162647 4168715 4174783 4180851 4186919 4192987 4199055 4205123 4211191 4217259 4223327 4229395 4235463 4241531 4247599 4253667 4259735 4265803 4271871 4277939 4284007 4290075 4296143 4302211 4308279 4314347 4320415 4326483 4332551 4338619 4344687 4350755 4356823 4362891 4368959 4375027 4381095 4387163 4393231 4399299 4405367 4411435 4417503 4423571 4429639 4435707 4441775 4447843 4453911 4459979 4466047 4472115 4478183 4484251 4490319 4496387 4502455 4508523 4514591 4520659 4526727 4532795 4538863 4544931 4550999 4557067 4563135 4569203 4575271 4581339 4587407 4593475 4599543 4605611 4611679 4617747 4623815 4629883 4635951 4642019 4648087 4654155 4660223 4666291 4672359 4678427 4684495 4690563 4696631 4702699 4708767 4714835 4720903 4726971 4733039 4739107 4745175 4751243 4757311 4763379 4769447 4775515 4781583 4787651 4793719 4799787 4805855 4811923 4817991 4824059 4830127 4836195 4842263 4848331 4854399 4860467 4866535 4872603 4878671 4884739 4890807 4896875 4902943 4909011 4915079 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 159 239 319 399 479 559 639 719 799 879 959 1039 1119 1199 1279 1359 1439 1519 1599 1679 1759 1839 1919 1999 2079 2159 2239 2319 2399 2479 2559 2639 2719 2799 2879 2959 3039 3119 3199 3279 3359 3439 3519 3599 3679 3759 3839 3919 3999 4079 4159 4239 4319 4399 4479 4559 4639 4719 4799 4879 4959 5039 5119 5199 5279 5359 5439 5519 5599 5679 5759 5839 5919 5999 6079 6159 6239 6319 6399 6479 6559 6639 6719 6799 6879 6959 7039 7119 7199 7279 7359 7439 7519 7599 7679 7759 7839 7919 7999 8079 8159 8239 8319 8399 8479 8559 8639 8719 8799 8879 8959 9039 9119 9199 9279 9359 9439 9519 9599 9679 9759 9839 9919 9999 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 233 467 701 935 1169 1403 1637 1871 2105 2339 2573 2807 3041 3275 3509 3743 3977 4211 4445 4679 4913 5147 5381 5615 5849 6083 6317 6551 6785 7019 7253 7487 7721 7955 8189 8423 8657 8891 9125 9359 9593 9827 10061 10295 10529 10763 10997 11231 11465 11699 11933 12167 12401 12635 12869 13103 13337 13571 13805 14039 14273 14507 14741 14975 15209 15443 15677 15911 16145 16379 16613 16847 17081 17315 17549 17783 18017 18251 18485 18719 18953 19187 19421 19655 19889 20123 20357 20591 20825 21059 21293 21527 21761 21995 22229 22463 22697 22931 23165 23399 23633 23867 24101 \n", "1 2 3 4 5 11 17 23 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 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2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 5185 10371 15557 20743 25929 31115 36301 41487 46673 51859 57045 62231 67417 72603 77789 82975 88161 93347 98533 103719 108905 114091 119277 124463 129649 134835 140021 145207 150393 155579 160765 165951 171137 176323 181509 186695 191881 197067 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9376287 9381473 9386659 9391845 9397031 9402217 9407403 9412589 9417775 9422961 9428147 9433333 9438519 9443705 9448891 9454077 9459263 9464449 9469635 9474821 9480007 9485193 9490379 9495565 9500751 9505937 9511123 9516309 9521495 9526681 9531867 9537053 9542239 9547425 9552611 9557797 9562983 9568169 9573355 9578541 9583727 9588913 9594099 9599285 9604471 9609657 9614843 9620029 9625215 9630401 9635587 9640773 9645959 9651145 9656331 9661517 9666703 9671889 9677075 9682261 9687447 9692633 9697819 9703005 9708191 9713377 9718563 9723749 9728935 9734121 9739307 9744493 9749679 9754865 9760051 9765237 9770423 9775609 9780795 9785981 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 135 271 407 543 \n", "1 2 3 4 5 6 7 13 \n", "-1\n", "1 2 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 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796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 \n", "1 2 3 4 9 14 19 24 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 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4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769 4770 4771 4772 4773 4774 4775 4776 4777 4778 4779 4780 4781 4782 4783 4784 4785 4786 4787 4788 4789 4790 4791 4792 4793 4794 4795 4796 4797 4798 4799 4800 4801 4802 4803 4804 4805 4806 4807 4808 4809 4810 4811 4812 4813 4814 4815 4816 4817 4818 4819 4820 4821 4822 4823 4824 4825 4826 4827 4828 4829 4830 4831 4832 4833 4834 4835 4836 4837 4838 4839 4840 4841 4842 4843 4844 4845 4846 4847 4848 4849 4850 4851 4852 4853 4854 4855 4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869 4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913 4914 4915 4916 4917 4918 4919 4920 4921 4922 4923 4924 4925 4926 4927 4928 4929 4930 4931 4932 4933 4934 4935 4936 4937 4938 4939 4940 4941 4942 4943 4944 4945 4946 4947 4948 4949 4950 4951 4952 4953 4954 4955 4956 4957 4958 4959 4960 4961 4962 4963 4964 4965 4966 4967 4968 4969 4970 4971 4972 4973 4974 4975 4976 4977 4978 4979 4980 4981 4982 4983 4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 4995 4996 4997 4998 4999 5000 \n", "1 2 3 4 5 9 19 29 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 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864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 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2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 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2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 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3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 6427 12855 19283 25711 32139 38567 44995 51423 57851 64279 70707 77135 83563 89991 96419 102847 109275 115703 122131 128559 134987 141415 147843 154271 160699 167127 173555 179983 186411 192839 199267 205695 212123 218551 224979 231407 237835 244263 250691 257119 263547 269975 276403 282831 289259 295687 302115 308543 314971 321399 327827 334255 340683 347111 353539 359967 366395 372823 379251 385679 392107 398535 404963 411391 417819 424247 430675 437103 443531 449959 456387 462815 469243 475671 482099 488527 494955 501383 507811 514239 520667 527095 533523 539951 546379 552807 559235 565663 572091 578519 584947 591375 597803 604231 610659 617087 623515 629943 636371 642799 649227 655655 662083 668511 674939 681367 687795 694223 700651 707079 713507 719935 726363 732791 739219 745647 752075 758503 764931 771359 777787 784215 790643 797071 803499 809927 816355 822783 829211 835639 842067 848495 854923 861351 867779 874207 880635 887063 893491 899919 906347 912775 919203 925631 932059 938487 944915 951343 957771 964199 970627 977055 983483 989911 996339 1002767 1009195 1015623 1022051 1028479 1034907 1041335 1047763 1054191 1060619 1067047 1073475 1079903 1086331 1092759 1099187 1105615 1112043 1118471 1124899 1131327 1137755 1144183 1150611 1157039 1163467 1169895 1176323 1182751 1189179 1195607 1202035 1208463 1214891 1221319 1227747 1234175 1240603 1247031 1253459 1259887 1266315 1272743 1279171 1285599 1292027 1298455 1304883 1311311 1317739 1324167 1330595 1337023 1343451 1349879 1356307 1362735 1369163 1375591 1382019 1388447 1394875 1401303 1407731 1414159 1420587 1427015 1433443 1439871 1446299 1452727 1459155 1465583 1472011 1478439 1484867 1491295 1497723 1504151 1510579 1517007 1523435 1529863 1536291 1542719 1549147 1555575 1562003 1568431 1574859 1581287 1587715 1594143 1600571 1606999 1613427 1619855 1626283 1632711 1639139 1645567 1651995 1658423 1664851 1671279 1677707 1684135 1690563 1696991 1703419 1709847 1716275 1722703 1729131 1735559 1741987 1748415 1754843 1761271 1767699 1774127 1780555 1786983 1793411 1799839 1806267 1812695 1819123 1825551 1831979 1838407 1844835 1851263 1857691 1864119 1870547 1876975 1883403 1889831 1896259 1902687 1909115 1915543 1921971 1928399 1934827 1941255 1947683 1954111 1960539 1966967 1973395 1979823 1986251 1992679 1999107 2005535 2011963 2018391 2024819 2031247 2037675 2044103 2050531 2056959 2063387 2069815 2076243 2082671 2089099 2095527 2101955 2108383 2114811 2121239 2127667 2134095 2140523 2146951 2153379 2159807 2166235 2172663 2179091 2185519 2191947 2198375 2204803 2211231 2217659 2224087 2230515 2236943 2243371 2249799 2256227 2262655 2269083 2275511 2281939 2288367 2294795 2301223 2307651 2314079 2320507 2326935 2333363 2339791 2346219 2352647 2359075 2365503 2371931 2378359 2384787 2391215 2397643 2404071 2410499 2416927 2423355 2429783 2436211 2442639 2449067 2455495 2461923 2468351 2474779 2481207 2487635 2494063 2500491 2506919 2513347 2519775 2526203 2532631 2539059 2545487 2551915 2558343 2564771 2571199 2577627 2584055 2590483 2596911 2603339 2609767 2616195 2622623 2629051 2635479 2641907 2648335 2654763 2661191 2667619 2674047 2680475 2686903 2693331 2699759 2706187 2712615 2719043 2725471 2731899 2738327 2744755 2751183 2757611 2764039 2770467 2776895 2783323 2789751 2796179 2802607 2809035 2815463 2821891 2828319 2834747 2841175 2847603 2854031 2860459 2866887 2873315 2879743 2886171 2892599 2899027 2905455 2911883 2918311 2924739 2931167 2937595 2944023 2950451 2956879 2963307 2969735 2976163 2982591 2989019 2995447 3001875 3008303 3014731 3021159 3027587 3034015 3040443 3046871 3053299 3059727 3066155 3072583 3079011 3085439 3091867 3098295 3104723 3111151 3117579 3124007 3130435 3136863 3143291 3149719 3156147 3162575 3169003 3175431 3181859 3188287 3194715 3201143 3207571 3213999 3220427 3226855 3233283 3239711 3246139 3252567 3258995 3265423 3271851 3278279 3284707 3291135 3297563 3303991 3310419 3316847 3323275 3329703 3336131 3342559 3348987 3355415 3361843 3368271 3374699 3381127 3387555 3393983 3400411 3406839 3413267 3419695 3426123 3432551 3438979 3445407 3451835 3458263 3464691 3471119 3477547 3483975 3490403 3496831 3503259 3509687 3516115 3522543 3528971 3535399 3541827 3548255 3554683 3561111 3567539 3573967 3580395 3586823 3593251 3599679 3606107 3612535 3618963 3625391 3631819 3638247 3644675 3651103 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 37 75 113 151 189 227 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 2065 4131 6197 8263 10329 12395 14461 16527 18593 20659 22725 24791 26857 28923 30989 33055 35121 37187 39253 41319 43385 45451 47517 49583 51649 53715 55781 57847 59913 61979 64045 66111 68177 70243 72309 74375 76441 78507 80573 82639 84705 86771 88837 90903 92969 95035 97101 99167 101233 103299 105365 107431 109497 111563 113629 115695 117761 119827 121893 123959 126025 128091 130157 132223 134289 136355 138421 140487 142553 144619 146685 148751 150817 152883 154949 157015 159081 161147 163213 165279 167345 169411 171477 173543 175609 177675 179741 181807 183873 185939 188005 190071 192137 194203 196269 198335 200401 202467 204533 206599 208665 210731 212797 214863 216929 218995 221061 223127 225193 227259 229325 231391 233457 235523 237589 239655 241721 243787 245853 247919 249985 252051 254117 256183 258249 260315 262381 264447 266513 268579 270645 272711 274777 276843 278909 280975 283041 285107 287173 289239 291305 293371 295437 297503 299569 301635 303701 305767 307833 309899 311965 314031 316097 318163 320229 322295 324361 326427 328493 330559 332625 334691 336757 338823 340889 342955 345021 347087 349153 351219 353285 355351 357417 359483 361549 363615 365681 367747 369813 371879 373945 376011 378077 380143 382209 384275 386341 388407 390473 392539 394605 396671 398737 400803 402869 404935 407001 409067 411133 413199 415265 417331 419397 421463 423529 425595 427661 429727 431793 433859 435925 437991 440057 442123 444189 446255 448321 450387 452453 454519 456585 458651 460717 462783 464849 466915 468981 471047 473113 475179 477245 479311 481377 483443 485509 487575 489641 491707 493773 495839 497905 499971 502037 504103 506169 508235 510301 512367 \n", "1 2 3 4 7 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 23 47 71 95 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 20 1000000000 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 1041 2083 3125 4167 5209 6251 7293 8335 9377 10419 11461 12503 13545 14587 15629 16671 17713 18755 19797 20839 21881 22923 23965 25007 26049 27091 28133 29175 30217 31259 32301 33343 34385 35427 36469 37511 38553 39595 40637 41679 42721 43763 44805 45847 46889 47931 48973 50015 51057 52099 53141 54183 55225 56267 57309 58351 59393 60435 61477 62519 63561 64603 65645 66687 67729 68771 69813 70855 71897 72939 73981 75023 76065 77107 78149 79191 80233 81275 82317 83359 84401 85443 86485 87527 88569 89611 90653 91695 92737 93779 94821 95863 96905 97947 98989 100031 101073 102115 103157 104199 105241 106283 107325 108367 109409 110451 111493 112535 113577 114619 115661 116703 117745 118787 119829 120871 121913 122955 123997 125039 126081 127123 128165 129207 130249 131291 132333 133375 134417 135459 136501 137543 138585 139627 140669 141711 142753 143795 144837 145879 146921 147963 149005 150047 151089 152131 153173 154215 155257 156299 157341 158383 159425 160467 161509 162551 163593 164635 165677 166719 167761 168803 169845 170887 171929 172971 174013 175055 176097 177139 178181 179223 180265 181307 182349 183391 184433 185475 186517 187559 188601 189643 190685 191727 192769 193811 194853 195895 196937 197979 199021 200063 201105 202147 203189 204231 205273 206315 207357 208399 209441 210483 211525 212567 213609 214651 215693 216735 217777 218819 219861 220903 221945 222987 224029 225071 226113 227155 228197 229239 230281 231323 232365 233407 234449 235491 236533 237575 238617 239659 240701 241743 242785 243827 244869 245911 246953 247995 249037 250079 251121 252163 253205 254247 255289 256331 257373 258415 259457 260499 261541 262583 263625 264667 265709 266751 267793 268835 269877 270919 271961 273003 274045 275087 276129 277171 278213 279255 280297 281339 282381 283423 284465 285507 286549 287591 288633 289675 290717 291759 292801 293843 294885 295927 296969 298011 299053 300095 301137 302179 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 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192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 771 1543 2315 3087 3859 4631 5403 6175 6947 7719 8491 9263 10035 10807 11579 12351 13123 13895 14667 15439 16211 16983 17755 18527 19299 20071 20843 21615 22387 23159 23931 24703 25475 26247 27019 27791 28563 29335 30107 30879 31651 32423 33195 33967 34739 35511 36283 37055 37827 38599 39371 40143 40915 41687 42459 43231 44003 44775 45547 46319 47091 47863 48635 49407 50179 50951 51723 52495 53267 54039 54811 55583 56355 57127 57899 58671 59443 60215 60987 61759 62531 63303 64075 64847 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 27 55 83 111 139 167 \n", "1 2 3 7 11 15 19 23 \n", "1 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 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2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224 4225 4226 4227 4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313 4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341 4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383 4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397 4398 4399 4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441 4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655 4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669 4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769 4770 4771 4772 4773 4774 4775 4776 4777 4778 4779 4780 4781 4782 4783 4784 4785 4786 4787 4788 4789 4790 4791 4792 4793 4794 4795 4796 4797 4798 4799 4800 4801 4802 4803 4804 4805 4806 4807 4808 4809 4810 4811 4812 4813 4814 4815 4816 4817 4818 4819 4820 4821 4822 4823 4824 4825 4826 4827 4828 4829 4830 4831 4832 4833 4834 4835 4836 4837 4838 4839 4840 4841 4842 4843 4844 4845 4846 4847 4848 4849 4850 4851 4852 4853 4854 4855 4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869 4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913 4914 4915 4916 4917 4918 4919 4920 4921 4922 4923 4924 4925 4926 4927 4928 4929 4930 4931 4932 4933 4934 4935 4936 4937 4938 4939 4940 4941 4942 4943 4944 4945 4946 4947 4948 4949 4950 4951 4952 4953 4954 4955 4956 4957 4958 4959 4960 4961 4962 4963 4964 4965 4966 4967 4968 4969 4970 4971 4972 4973 4974 4975 4976 4977 4978 4979 4980 4981 4982 4983 4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 5001 10003 15005 20007 25009 30011 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 447 895 1343 1791 2239 2687 3135 3583 4031 4479 4927 5375 5823 6271 6719 7167 7615 8063 8511 8959 9407 9855 10303 10751 11199 11647 12095 12543 12991 13439 13887 14335 14783 15231 15679 16127 16575 17023 17471 17919 18367 18815 19263 19711 20159 20607 21055 21503 21951 22399 22847 23295 23743 24191 24639 25087 25535 25983 26431 26879 27327 27775 28223 28671 29119 29567 30015 30463 30911 31359 31807 32255 32703 33151 33599 34047 34495 34943 35391 35839 36287 36735 37183 37631 38079 38527 38975 39423 39871 40319 40767 41215 41663 42111 \n", "-1\n", "-1\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 295 591 887 1183 1479 1775 2071 2367 2663 2959 3255 3551 3847 4143 4439 4735 5031 5327 5623 5919 6215 6511 6807 7103 7399 7695 7991 8287 8583 8879 9175 9471 9767 10063 10359 10655 10951 11247 11543 11839 12135 12431 12727 13023 13319 13615 13911 14207 14503 14799 15095 15391 15687 15983 16279 16575 16871 17167 17463 17759 18055 18351 18647 18943 19239 19535 19831 20127 20423 20719 21015 21311 21607 21903 22199 22495 22791 23087 23383 23679 23975 24271 24567 24863 25159 25455 25751 26047 26343 26639 26935 27231 27527 27823 28119 28415 28711 29007 29303 29599 29895 30191 30487 30783 31079 31375 31671 31967 32263 32559 32855 33151 33447 33743 34039 34335 34631 34927 35223 35519 35815 36111 36407 36703 36999 37295 37591 37887 38183 38479 38775 39071 39367 39663 39959 40255 40551 40847 41143 41439 41735 42031 42327 42623 42919 43215 43511 43807 44103 44399 44695 44991 45287 45583 45879 46175 46471 46767 47063 47359 47655 47951 48247 48543 48839 49135 49431 49727 50023 50319 50615 50911 51207 51503 51799 52095 52391 52687 52983 53279 53575 53871 54167 54463 54759 55055 55351 55647 55943 56239 56535 56831 57127 57423 57719 58015 58311 58607 58903 59199 59495 59791 60087 60383 60679 60975 61271 61567 61863 62159 62455 62751 63047 63343 63639 63935 64231 64527 64823 65119 65415 65711 66007 66303 66599 66895 67191 67487 67783 68079 68375 68671 68967 69263 69559 69855 70151 70447 70743 71039 71335 71631 71927 72223 72519 72815 73111 73407 73703 73999 74295 74591 74887 75183 75479 75775 76071 76367 76663 76959 77255 77551 77847 78143 78439 78735 79031 79327 79623 79919 80215 80511 80807 81103 81399 81695 81991 82287 82583 82879 83175 83471 83767 84063 84359 84655 84951 85247 85543 85839 86135 86431 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174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 431 863 1295 1727 2159 2591 3023 3455 3887 4319 4751 5183 5615 6047 6479 6911 7343 7775 8207 8639 9071 9503 9935 10367 10799 11231 11663 12095 12527 12959 13391 13823 14255 14687 15119 15551 15983 16415 16847 17279 17711 18143 18575 19007 19439 19871 20303 20735 21167 21599 22031 22463 22895 23327 23759 24191 24623 25055 25487 25919 26351 26783 27215 27647 28079 28511 28943 29375 29807 30239 30671 31103 31535 31967 32399 32831 33263 33695 34127 34559 34991 35423 35855 36287 36719 37151 37583 38015 38447 38879 39311 39743 40175 40607 41039 41471 41903 42335 42767 43199 43631 44063 44495 44927 45359 45791 46223 46655 47087 47519 47951 48383 48815 49247 49679 50111 50543 50975 51407 51839 52271 52703 53135 53567 53999 54431 54863 55295 55727 56159 56591 57023 57455 57887 58319 58751 59183 59615 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112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 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4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769 4770 4771 4772 4773 4774 4775 4776 4777 4778 4779 4780 4781 4782 4783 4784 4785 4786 4787 4788 4789 4790 4791 4792 4793 4794 4795 4796 4797 4798 4799 4800 4801 4802 4803 4804 4805 4806 4807 4808 4809 4810 4811 4812 4813 4814 4815 4816 4817 4818 4819 4820 4821 4822 4823 4824 4825 4826 4827 4828 4829 4830 4831 4832 4833 4834 4835 4836 4837 4838 4839 4840 4841 4842 4843 4844 4845 4846 4847 4848 4849 4850 4851 4852 4853 4854 4855 4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869 4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 5001 10003 15005 20007 25009 30011 35013 40015 45017 50019 55021 60023 65025 70027 75029 80031 85033 90035 95037 100039 105041 110043 115045 120047 125049 130051 135053 140055 145057 150059 155061 160063 165065 170067 175069 180071 185073 190075 195077 200079 205081 210083 215085 220087 225089 230091 235093 240095 245097 250099 255101 260103 265105 270107 275109 280111 285113 290115 295117 300119 305121 310123 315125 320127 325129 330131 335133 340135 345137 350139 355141 360143 365145 370147 375149 380151 385153 390155 395157 400159 405161 410163 415165 420167 425169 430171 435173 440175 445177 450179 455181 460183 465185 470187 475189 480191 485193 490195 495197 500199 505201 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 41 83 125 167 209 251 293 335 377 419 461 503 545 587 629 671 713 755 797 839 881 923 965 1007 1049 1091 1133 1175 1217 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 61 123 185 247 309 371 433 495 557 619 681 743 805 867 929 991 1053 1115 1177 1239 1301 1363 1425 1487 1549 1611 1673 1735 1797 1859 1921 1983 2045 2107 2169 2231 2293 2355 2417 2479 2541 2603 2665 2727 2789 \n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 47 \n", "-1\n", "1 2 3 4 5 6 13 20 \n", "1 2 3 4 5 6 7 1000000000 \n", "1 2 3 4 7 15 23 31 \n", "1 2 3 4 5 6 11 1000000000\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 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2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 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3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 5401 10803 16205 21607 27009 32411 37813 43215 48617 54019 59421 64823 70225 75627 81029 86431 91833 97235 102637 108039 113441 118843 124245 129647 135049 140451 145853 151255 156657 162059 167461 172863 178265 183667 189069 194471 199873 205275 210677 216079 221481 226883 232285 237687 243089 248491 253893 259295 264697 270099 275501 280903 286305 291707 297109 302511 307913 313315 318717 324119 329521 334923 340325 345727 351129 356531 361933 367335 372737 378139 383541 388943 394345 399747 405149 410551 415953 421355 426757 432159 437561 442963 448365 453767 459169 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590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1999 3999 5999 7999 9999 11999 13999 15999 17999 19999\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 93 187 281 375 469 563 657 751 845 939 1033 1127 1221 1315 1409 1503 1597 1691 1785 1879 1973 2067 2161 2255 2349\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 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194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 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381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 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176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 429 859 1289 1719 2149 2579 3009 3439 3869 4299 4729 5159 5589 6019 6449 6879 7309 7739 8169 8599 9029 9459 9889 10319 10749 11179 11609 12039 12469 12899 13329 13759 14189 14619 15049 15479 15909 16339 16769 17199 17629 18059 18489 18919 19349 19779 20209 20639 21069 21499 21929 22359 22789 23219 23649 24079 24509 24939 25369 25799 26229 26659 27089 27519 27949 28379 28809 29239 29669 30099 30529 30959 31389 31819 32249 32679 33109 33539 33969 34399 34829 35259 35689 36119 36549 36979 37409 37839 38269 38699 39129 39559 39989 40419 40849 41279 41709 42139 42569 42999 43429 43859 44289 44719 45149 45579 46009 46439 46869 47299 47729 48159 48589 49019 49449 49879 50309 50739 51169 51599 52029 52459 52889 53319 53749 54179 54609 55039 55469 55899 56329 56759 57189 57619 58049 58479 58909 59339 59769 60199 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1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 3585 7171 10757 14343 17929 21515 25101 28687 32273 35859 39445 43031 46617 50203 53789 57375 60961 64547 68133 71719 75305 78891 82477 86063 89649 93235 96821 100407 103993 107579 111165 114751 118337 121923 125509 129095 132681 136267 139853 143439 147025 150611 154197 157783 161369 164955 168541 172127 175713 179299 182885 186471 190057 193643 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471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 771 1543 2315 3087 3859 4631 5403 6175 6947 7719 8491 9263 10035 10807 11579 12351 13123 13895 14667 15439 16211 16983 17755 18527 19299 20071 20843 21615 22387 23159 23931 24703 25475 26247 27019 27791 28563 29335 30107 30879 31651 32423 33195 33967 34739 35511 36283 37055 37827 38599 39371 40143 40915 41687 42459 43231 44003 44775 45547 46319 47091 47863 48635 49407 50179 50951 51723 52495 53267 54039 54811 55583 56355 57127 57899 58671 59443 60215 60987 61759 62531 63303 64075 64847 65619 66391 67163 67935 68707 69479 70251 71023 71795 72567 73339 74111 74883 75655 76427 77199 77971 78743 79515 80287 81059 81831 82603 83375 84147 84919 85691 86463 87235 88007 88779 89551 90323 91095 91867 92639 93411 94183 94955 95727 96499 97271 98043 98815 99587 100359 101131 101903 102675 103447 104219 104991 105763 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95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 379 759 1139 1519 1899 2279 2659 3039 3419 3799 4179 4559 4939 5319 5699 6079 6459 6839 7219 7599 7979 8359 8739 9119 9499 9879 10259 10639 11019 11399 11779 12159 12539 12919 13299 13679 14059 14439 14819 15199 15579 15959 16339 16719 17099 17479 17859 18239 18619 18999 19379 19759 20139 20519 20899 21279 21659 22039 22419 22799 23179 23559 23939 24319 24699 25079 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198739 199119 199499 199879 200259 200639 201019 201399 201779 202159 202539 202919 203299 203679 204059 204439 204819 205199 205579 205959 206339 206719 207099 207479 207859 208239 208619 208999 209379 209759 210139 210519 210899 211279 211659 212039 212419 212799 213179 213559 213939 214319 214699 215079 215459 215839 216219 216599 216979 217359 217739 218119 218499 218879 219259 219639 220019 220399 220779 221159 221539 221919 222299 222679 223059 223439 223819 224199 224579 224959 225339 225719 226099 226479 226859 227239 227619 227999 228379 228759 229139 229519 229899 230279 230659 231039 231419 231799 232179 232559 232939 233319 233699 234079 234459 234839 235219 235599 235979 236359 236739 237119 237499 237879 238259 238639 239019 239399 239779 240159 240539 240919 241299 241679 242059 242439 242819 243199 243579 243959 244339 244719 245099 245479 245859 246239 246619 246999 247379 247759 248139 248519 248899 249279 249659 250039 250419 250799 251179 251559 251939 252319 252699 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57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 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568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 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2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 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3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 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4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 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4854 4855 4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869 4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 5001 10003 15005 20007 25009 30011 35013 40015 45017 50019 55021 60023 65025 70027 75029 80031 85033 90035 95037 100039 105041 110043 115045 120047 125049 130051 135053 140055 145057 150059 155061 160063 165065 170067 175069 180071 185073 190075 195077 200079 205081 210083 215085 220087 225089 230091 235093 240095 245097 250099 255101 260103 265105 270107 275109 280111 285113 290115 295117 300119 305121 310123 315125 320127 325129 330131 335133 340135 345137 350139 355141 360143 365145 370147 375149 380151 385153 390155 395157 400159 405161 410163 415165 420167 425169 430171 435173 440175 445177 450179 455181 460183 465185 470187 475189 480191 485193 490195 495197 500199 505201 510203 515205 520207 525209 530211 535213 540215 545217 550219 555221 560223 565225 570227 575229 580231 585233 590235 595237 600239 605241 610243 615245 620247 625249 630251 635253 640255 645257 650259 655261 660263 665265 670267 675269 680271 685273 690275 695277 700279 705281 710283 715285 720287 725289 730291 735293 740295 745297 750299 755301 760303 765305 770307 775309 780311 785313 790315 795317 800319 805321 810323 815325 820327 825329 830331 835333 840335 845337 850339 855341 860343 865345 870347 875349 880351 885353 890355 895357 900359 905361 910363 915365 920367 925369 930371 935373 940375 945377 950379 955381 960383 965385 970387 975389 980391 985393 990395 995397 1000399 1005401 1010403 1015405 1020407 1025409 1030411 1035413 1040415 1045417 1050419 1055421 1060423 1065425 1070427 1075429 1080431 1085433 1090435 1095437 1100439 1105441 1110443 1115445 1120447 1125449 1130451 1135453 1140455 1145457 1150459 1155461 1160463 1165465 1170467 1175469 1180471 1185473 1190475 1195477 1200479 1205481 1210483 1215485 1220487 1225489 1230491 1235493 1240495 1245497 1250499 1255501 1260503 1265505 1270507 1275509 1280511 1285513 1290515 1295517 1300519 1305521 1310523 1315525 1320527 1325529 1330531 1335533 1340535 1345537 1350539 1355541 1360543 1365545 1370547 1375549 1380551 1385553 1390555 1395557 1400559 1405561 1410563 1415565 1420567 1425569 1430571 1435573 1440575 1445577 1450579 1455581 1460583 1465585 1470587 1475589 1480591 1485593 1490595 1495597 1500599 1505601 1510603 1515605 1520607 1525609 1530611 1535613 1540615 1545617 1550619 1555621 1560623 1565625 1570627 1575629 1580631 1585633 1590635 1595637 1600639 1605641 1610643 1615645 1620647 1625649 1630651 1635653 1640655 1645657 1650659 1655661 1660663 1665665 1670667 1675669 1680671 1685673 1690675 1695677 1700679 1705681 1710683 1715685 1720687 1725689 1730691 1735693 1740695 1745697 1750699 1755701 1760703 1765705 1770707 1775709 1780711 1785713 1790715 1795717 1800719 1805721 1810723 1815725 1820727 1825729 1830731 1835733 1840735 1845737 1850739 1855741 1860743 1865745 1870747 1875749 1880751 1885753 1890755 1895757 1900759 1905761 1910763 1915765 1920767 1925769 1930771 1935773 1940775 1945777 1950779 1955781 1960783 1965785 1970787 1975789 1980791 1985793 1990795 1995797 2000799 2005801 2010803 2015805 2020807 2025809 2030811 2035813 2040815 2045817 2050819 2055821 2060823 2065825 2070827 2075829 2080831 2085833 2090835 2095837 2100839 2105841 2110843 2115845 2120847 2125849 2130851 2135853 2140855 2145857 2150859 2155861 2160863 2165865 2170867 2175869 2180871 2185873 2190875 2195877 2200879 2205881 2210883 2215885 2220887 2225889 2230891 2235893 2240895 2245897 2250899 2255901 2260903 2265905 2270907 2275909 2280911 2285913 2290915 2295917 2300919 2305921 2310923 2315925 2320927 2325929 2330931 2335933 2340935 2345937 2350939 2355941 2360943 2365945 2370947 2375949 2380951 2385953 2390955 2395957 2400959 2405961 2410963 2415965 2420967 2425969 2430971 2435973 2440975 2445977 2450979 2455981 2460983 2465985 2470987 2475989 2480991 2485993 2490995 2495997 2500999 2506001 2511003 2516005 2521007 2526009 2531011 2536013 2541015 2546017 2551019 2556021 2561023 2566025 2571027 2576029 2581031 2586033 2591035 2596037 2601039 2606041 2611043 2616045 2621047 2626049 2631051 2636053 2641055 2646057 2651059 2656061 2661063 2666065 2671067 2676069 2681071 2686073 2691075 2696077 2701079 2706081 2711083 2716085 2721087 2726089 2731091\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 41 83 125 167 209 251 293 335 377 419 461 503 545 587 629 671\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 47 95 143 191 239 287 335 383 431 479 527 575 623 671 719 767 815 863 911 959 1007 1055 1103 1151 1199 1247 1295 1343 1391 1439 1487 1535 1583 1631 1679 1727 1775 1823 1871 1919 1967 2015 2063 2111 2159 2207 2255 2303 2351 2399 2447 2495 2543 2591\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 47 95 143 191 239 287 335 383 431 479\n", "1 2 3 7 11 15 19\n", "1 2 3 4 5 6 7 15 23 31\n", "1 2 3 4 5 6 11 23 35\n", "1 2 3 4 5\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 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759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 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296769 301799 306829 311859 316889 321919 326949 331979 337009 342039 347069 352099 357129 362159 367189 372219 377249 382279 387309 392339 397369 402399 407429 412459 417489 422519 427549 432579 437609 442639 447669 452699 457729 462759 467789 472819 477849 482879 487909 492939 497969 502999 508029 513059 518089 523119 528149 533179 538209 543239 548269 553299 558329 563359 568389 573419 578449 583479 588509 593539 598569 603599 608629 613659 618689 623719 628749 633779 638809 643839 648869 653899 658929 663959 668989 674019 679049 684079 689109 694139 699169 704199 709229 714259 719289 724319 729349 734379 739409 744439 749469 754499 759529 764559 769589 774619 779649 784679 789709 794739 799769 804799 809829 814859 819889 824919 829949 834979 840009 845039 850069 855099 860129 865159 870189 875219 880249\n", "1 2 3 4 5 6 7 8 9 17\n", "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 159 239 319 399 479 559 639 719 799 879 959 1039 1119 1199 1279 1359 1439 1519 1599 1679 1759 1839 1919 1999 2079 2159 2239 2319 2399 2479 2559 2639 2719 2799 2879 2959 3039 3119 3199 3279 3359 3439 3519 3599 3679 3759 3839 3919 3999 4079 4159 4239 4319 4399 4479 4559 4639 4719 4799 4879 4959 5039 5119 5199 5279 5359 5439 5519 5599 5679 5759 5839 5919 5999 6079 6159 6239 6319 6399 6479 6559 6639 6719 6799 6879 6959 7039 7119 7199 7279 7359 7439 7519 7599 7679 7759 7839 7919 7999 8079 8159 8239 8319 8399 8479 8559 8639 8719 8799 8879 8959 9039 9119 9199 9279 9359 9439 9519 9599 9679 9759 9839 9919 9999 10079 10159 10239 10319 10399 10479 10559 10639 10719 10799 10879 10959 11039 11119 11199 11279\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n", "-1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Kuroni is the coordinator of the next Mathforces round written by the "Proof by AC" team. All the preparation has been done, and he is discussing with the team about the score distribution for the round. The round consists of n problems, numbered from 1 to n. The problems are ordered in increasing order of difficulty, no two problems have the same difficulty. A score distribution for the round can be denoted by an array a_1, a_2, ..., a_n, where a_i is the score of i-th problem. Kuroni thinks that the score distribution should satisfy the following requirements: * The score of each problem should be a positive integer not exceeding 10^9. * A harder problem should grant a strictly higher score than an easier problem. In other words, 1 ≤ a_1 < a_2 < ... < a_n ≤ 10^9. * The balance of the score distribution, defined as the number of triples (i, j, k) such that 1 ≤ i < j < k ≤ n and a_i + a_j = a_k, should be exactly m. Help the team find a score distribution that satisfies Kuroni's requirement. In case such a score distribution does not exist, output -1. Input The first and single line contains two integers n and m (1 ≤ n ≤ 5000, 0 ≤ m ≤ 10^9) — the number of problems and the required balance. Output If there is no solution, print a single integer -1. Otherwise, print a line containing n integers a_1, a_2, ..., a_n, representing a score distribution that satisfies all the requirements. If there are multiple answers, print any of them. Examples Input 5 3 Output 4 5 9 13 18 Input 8 0 Output 10 11 12 13 14 15 16 17 Input 4 10 Output -1 Note In the first example, there are 3 triples (i, j, k) that contribute to the balance of the score distribution. * (1, 2, 3) * (1, 3, 4) * (2, 4, 5) ### Input: 4 10 ### Output: -1 ### Input: 5 3 ### Output: 1 2 3 4 7 ### Code: import sys reader = (line.rstrip() for line in sys.stdin) input = reader.__next__ n, m = map(int, input().split()) def limit(n): if n < 3: return 0 if n ^ 1: return ((n - 1) * (n - 1)) >> 2 else: return ((n - 2) * n) >> 2 if m > limit(n): print(-1) sys.exit() elif not m: ans = [10 ** 8 + 1] while len(ans) < n: ans.append(ans[-1] + 10 ** 4) print(*ans) sys.exit() L = 3 R = n + 1 while L + 1 < R: k = (L + R) >> 1 if limit(k) > m: R = k else: L = k k = L ans = list(range(1, k + 1)) req = m - limit(k) if req > 0: ans.append(ans[-1] + ans[-2 * req]) k += 1 big_num = 10 ** 8 + 1 for i in range(k, n): ans.append(big_num) big_num += 10 ** 4 print(*ans)
136_E. Zero-One_34579
Little Petya very much likes playing with little Masha. Recently he has received a game called "Zero-One" as a gift from his mother. Petya immediately offered Masha to play the game with him. Before the very beginning of the game several cards are lain out on a table in one line from the left to the right. Each card contains a digit: 0 or 1. Players move in turns and Masha moves first. During each move a player should remove a card from the table and shift all other cards so as to close the gap left by the removed card. For example, if before somebody's move the cards on the table formed a sequence 01010101, then after the fourth card is removed (the cards are numbered starting from 1), the sequence will look like that: 0100101. The game ends when exactly two cards are left on the table. The digits on these cards determine the number in binary notation: the most significant bit is located to the left. Masha's aim is to minimize the number and Petya's aim is to maximize it. An unpleasant accident occurred before the game started. The kids spilled juice on some of the cards and the digits on the cards got blurred. Each one of the spoiled cards could have either 0 or 1 written on it. Consider all possible variants of initial arrangement of the digits (before the juice spilling). For each variant, let's find which two cards are left by the end of the game, assuming that both Petya and Masha play optimally. An ordered pair of digits written on those two cards is called an outcome. Your task is to find the set of outcomes for all variants of initial digits arrangement. Input The first line contains a sequence of characters each of which can either be a "0", a "1" or a "?". This sequence determines the initial arrangement of cards on the table from the left to the right. The characters "?" mean that the given card was spoiled before the game. The sequence's length ranges from 2 to 105, inclusive. Output Print the set of outcomes for all possible initial digits arrangements. Print each possible outcome on a single line. Each outcome should be represented by two characters: the digits written on the cards that were left by the end of the game. The outcomes should be sorted lexicographically in ascending order (see the first sample). Examples Input ???? Output 00 01 10 11 Input 1010 Output 10 Input 1?1 Output 01 11 Note In the first sample all 16 variants of numbers arrangement are possible. For the variant 0000 the outcome is 00. For the variant 1111 the outcome is 11. For the variant 0011 the outcome is 01. For the variant 1100 the outcome is 10. Regardless of outcomes for all other variants the set which we are looking for will contain all 4 possible outcomes. In the third sample only 2 variants of numbers arrangement are possible: 111 and 101. For the variant 111 the outcome is 11. For the variant 101 the outcome is 01, because on the first turn Masha can remove the first card from the left after which the game will end.
def evaluate(a): c1 = a.count('1') c0 = a.count('0') n = len(a) A = (n - 1) // 2 B = (n - 2) // 2 if c1 <= A: return '00' if c0 <= B: return '11' p1 = a.rfind('1') p0 = a.rfind('0') if p0 < p1: return '01' else: return '10' a = input() x = [] x.append(evaluate(a.replace('?', '0'))) x.append(evaluate(a.replace('?', '1'))) n = len(a) c1 = a.count('1') c0 = a.count('0') A = (n - 1) // 2 B = (n - 2) // 2 x.append(evaluate(a.replace('?', '0', B + 1 - c0).replace('?', '1'))) x.append(evaluate(a.replace('?', '1', A + 1 - c1).replace('?', '0'))) for ans in sorted(list(set(x))): print(ans)
{ "input": [ "????\n", "1?1\n", "1010\n", "??????????????????????????????????????????????????????????????????????????????????????0\n", "1011110101010001110000110111011011101011010100001001101?10101010111001011000110111011111010000110001000011100101011100011111100100100110011100101000011110111010011011010110111111010000000001010100100000111000000110100011110101111110010011010011100100011100000000011110111101010010010000\n", "00\n", "?0101\n", "??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????1\n", "10?\n", "??0101\n", "?111111?00?\n", "00001101010100101111100001001010000001100110001101010110100011011010111011111011000011011100011110001011111001001110000110011010101001101000100101000000011101111101110010010111110001101001101010111011011?01011001001010110111011101100000101110001000010111110100010110100111000000111000110100001\n", "001000101010110101111111101111001011000100100000111010111010001001100000000101001010111011001000010010111000011010000?1101100001001111000100100001011011100100111110101110100010111110100110100100110001110101100100000101111101010001101010101011011000110110011111001001111100011001101001110111100\n", "00000?01?111100001100100110101000110110110001001011000001010110110001101100101110000110011110011111011111000011001011101101011000110100010000001111000110110100111000001101101100011001011011100000011001111101111000010110101111000010001000011100100100110110011010010010111110101001000111110111011011100\n", "0101011100110100101000101010001100011100011111001011011101000010100001100010101111111010000011011001100111101010001001101100100001011111101101001000001000100110000111111101101101010011001010101010110110110100011110101000111111101011101010001111011100010001010011001010001100001000101011100100?\n", "1100110110011001101101000110100011001000001110111010010010000001011111001000111111000110100010111001111010000100100011101000001000011001111111000111001001111110011101010111010011111011001110011000101000100011001100110011111101100100100110011010001001011001011010101000001011001110\n", "??????????0????????????????0000000000000\n", "010111110110100010111110?01101100010110011111001001010110?11110100001111000110010001000110001111110100011001100100100110001100000011101111111111001110110001001101111001001101001101011110011110100110011010100111100110010000011010010011000101010000010110100110001100111000100011111000000010011010000\n", "1010011100111101001000110100011011100100100010011000000111011011011010110110010111011010111001000100001001001011011100110001000110111001101100111100111010010000001110001000001010111001111111011111011001111101111000010100100010011001000001010000101011101011110010100010011\n", "111100101001111101010101000011000010010011111100011001111011110011010100000010000001011000110101?1100110001100100100110111110010010101000000000100010101101101111001001101000010011010000010101111010110111111111110101110100010100011000101111110111000110000011001011000101101001101001100110110\n", "0101011011010000111111111101101010000110100010000010111101000101010111101011111001010110001000000010010110110100011010100110100000110101010010010001101110011110011011111011001100110001011011000001011100110110010100001011100011111010100110011001001010110111000111000001100\n", "1??1?\n", "000?\n", "??1010\n", "100111111101011110100010111111100011001101101000010111101111100100001100101110110100010010110000001111010101011110000000110100110010110111001100110100100010111011110100100010010001?0000101101001101000100010110001100000111000001001010001000100001000010101000111110111100010101110111111100101111101110?\n", "100???????????????????????????0000000??????????????????????????????0\n", "11\n", "000101010011000011101111101110010000100000001111110100000111010011000100000011101101100111011110001010000001111100001000100011110100111111010000010111000010100101011101111001010101100100000111011101111110000100011001101101010010101110101111000111101100000010011101000111111111100010110?\n", "??\n", "1000001000110000111000000001011100001100100011010000111010110100111111101001101100011101000011110010110110100110000010110101111101110100011101111001010110110010011001100001101110010010110001100000110010000011111100110101110101111010000001100100110100001111011010111001101100110111\n", "110011111011101010100001000111111000000110110010000101111100011100000110001?0010110110001111101101111101110000001000000010110010000001001011101001100011000100110100001110100101100110101011000?110101111111011010110110001010100111101010001101100111100110101000001110011101001001011110011101101100001\n", "000111101111111101011001100000101011101111010101000000100110011000101010001001010001100001011110100011011100010001000000110110101010000000011001011001101011100111010111111000100111110110001101100101000010011001010001111111001001100101011000011000010011111011011111100110010001011100000111111011011\n", "1?1?1?1?0?10\n", "00101010011010001111101100110000110001111001001010110001?1001010111100110010110001101000011000001011110101011100111011100111101101110110000110110111111010101011110110000001001101011100111101001010101110001101101001000101101110100000001011101000110101000010111110100000101000000100100101\n", "1110110101111111001111111110111011100001110111011001011111111111011010011111?111111?011111110001010110011111010111100111?111101010011101010?011111101010111111111101111010111?1111111100110110001111101111100100110011101111011110111000111?011110?111110?1011010111101111101111010100111110101111011101110011101001?11?011101110101101111001111111101100011?1011111111011100011101111100010110110101011?10111001101101011101110110110?10100111011\n", "1010111110011001100111110000101001101000110001001101011100011011011110110001000000010101100110010010111001000010111000110000100001011110000000101011111100000110010110100111111001010011100001000001100110111000010011110111011100010010011111001100111111011010011101101011000010011001001011101?\n", "100110000000100000101010010001010011010001010110011011111001110111101011010111111000000111110001000101110101111111101110000000001000101101100111110111110110000100011010011001111011101011101111100111101001111110101000100000001010010111000100001111111000011101011011100110010001100010000111000000000\n", "0011000100000011110100010001110011101011111100111111101010110111100100110100110110000010111111?011010001001001100101011100010110010011101011011011001100101001101100100100010100001000001110101111011001100011111011010101000110110101101111011010001101000000111000111000100100110010010001100101011000?\n", "1000101111011000001100011100100101100110110101010110000000011010011011010010110110100110010001001111011001011111101110011001100010001011000000011011001110100100110101010011001011111000001001100111111?010100101001101000011111011010000?000101010001110100110101000101001011001110001001011110111101110111\n", 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"00\n10\n11\n", "11\n", "10\n11\n", "00\n01\n10\n11\n", "01\n", "00\n01\n11\n", "01\n", "00\n10\n11\n", "01\n11\n", "11\n", "00\n01\n", "10\n", "00\n01\n10\n11\n", "00\n01\n11\n", "10\n11\n", "01\n", "01\n11\n", "10\n11\n", "00\n01\n", "11\n", "00\n01\n10\n11\n", "00\n10\n", "10\n11\n", "00\n", "00\n01\n", "00\n01\n11\n", "01\n11\n", "11\n", "00\n10\n11\n", "01\n", "10\n", "00\n01\n10\n11\n", "00\n10\n", "00\n10\n", "00\n10\n", "00\n", "00\n10\n", "00\n", "00\n", "00\n01\n11\n", "00\n", "00\n01\n11\n", "00\n", "11\n", "00\n01\n10\n11\n", "00\n01\n11\n", "10\n11\n", "00\n", "10\n11\n", "00\n", "00\n01\n", "00\n10\n", "10\n11\n", "10\n11\n", "00\n01\n", "00\n", "00\n", "00\n01\n", "00\n", "01\n11\n", "00\n01\n11\n", "00\n", "00\n01\n", "11\n", "11\n", "00\n10\n11\n", "10\n11\n", "01\n", "11\n", "00\n01\n", "00\n01\n", "10\n11\n", "10\n11\n", "00\n", "00\n10\n", "00\n", "01\n11\n", "00\n01\n10\n11\n", "11\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Little Petya very much likes playing with little Masha. Recently he has received a game called "Zero-One" as a gift from his mother. Petya immediately offered Masha to play the game with him. Before the very beginning of the game several cards are lain out on a table in one line from the left to the right. Each card contains a digit: 0 or 1. Players move in turns and Masha moves first. During each move a player should remove a card from the table and shift all other cards so as to close the gap left by the removed card. For example, if before somebody's move the cards on the table formed a sequence 01010101, then after the fourth card is removed (the cards are numbered starting from 1), the sequence will look like that: 0100101. The game ends when exactly two cards are left on the table. The digits on these cards determine the number in binary notation: the most significant bit is located to the left. Masha's aim is to minimize the number and Petya's aim is to maximize it. An unpleasant accident occurred before the game started. The kids spilled juice on some of the cards and the digits on the cards got blurred. Each one of the spoiled cards could have either 0 or 1 written on it. Consider all possible variants of initial arrangement of the digits (before the juice spilling). For each variant, let's find which two cards are left by the end of the game, assuming that both Petya and Masha play optimally. An ordered pair of digits written on those two cards is called an outcome. Your task is to find the set of outcomes for all variants of initial digits arrangement. Input The first line contains a sequence of characters each of which can either be a "0", a "1" or a "?". This sequence determines the initial arrangement of cards on the table from the left to the right. The characters "?" mean that the given card was spoiled before the game. The sequence's length ranges from 2 to 105, inclusive. Output Print the set of outcomes for all possible initial digits arrangements. Print each possible outcome on a single line. Each outcome should be represented by two characters: the digits written on the cards that were left by the end of the game. The outcomes should be sorted lexicographically in ascending order (see the first sample). Examples Input ???? Output 00 01 10 11 Input 1010 Output 10 Input 1?1 Output 01 11 Note In the first sample all 16 variants of numbers arrangement are possible. For the variant 0000 the outcome is 00. For the variant 1111 the outcome is 11. For the variant 0011 the outcome is 01. For the variant 1100 the outcome is 10. Regardless of outcomes for all other variants the set which we are looking for will contain all 4 possible outcomes. In the third sample only 2 variants of numbers arrangement are possible: 111 and 101. For the variant 111 the outcome is 11. For the variant 101 the outcome is 01, because on the first turn Masha can remove the first card from the left after which the game will end. ### Input: ???? ### Output: 00 01 10 11 ### Input: 1?1 ### Output: 01 11 ### Code: def evaluate(a): c1 = a.count('1') c0 = a.count('0') n = len(a) A = (n - 1) // 2 B = (n - 2) // 2 if c1 <= A: return '00' if c0 <= B: return '11' p1 = a.rfind('1') p0 = a.rfind('0') if p0 < p1: return '01' else: return '10' a = input() x = [] x.append(evaluate(a.replace('?', '0'))) x.append(evaluate(a.replace('?', '1'))) n = len(a) c1 = a.count('1') c0 = a.count('0') A = (n - 1) // 2 B = (n - 2) // 2 x.append(evaluate(a.replace('?', '0', B + 1 - c0).replace('?', '1'))) x.append(evaluate(a.replace('?', '1', A + 1 - c1).replace('?', '0'))) for ans in sorted(list(set(x))): print(ans)
1392_E. Omkar and Duck_34582
This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's denote by (x, y) the cell in the x-th row from the top and the y-th column from the left. Right now, the duck is at the cell (1, 1) (the cell in the top left corner) and would like to reach the cell (n, n) (the cell in the bottom right corner) by moving either down 1 cell or to the right 1 cell each second. Since Omkar thinks ducks are fun, he wants to play a game with you based on the movement of the duck. First, for each cell (x, y) in the grid, you will tell Omkar a nonnegative integer a_{x,y} not exceeding 10^{16}, and Omkar will then put a_{x,y} uninteresting problems in the cell (x, y). After that, the duck will start their journey from (1, 1) to (n, n). For each cell (x, y) that the duck crosses during their journey (including the cells (1, 1) and (n, n)), the duck will eat the a_{x,y} uninteresting problems in that cell. Once the duck has completed their journey, Omkar will measure their mass to determine the total number k of uninteresting problems that the duck ate on their journey, and then tell you k. Your challenge, given k, is to exactly reproduce the duck's path, i. e. to tell Omkar precisely which cells the duck crossed on their journey. To be sure of your mastery of this game, Omkar will have the duck complete q different journeys (1 ≤ q ≤ 10^3). Note that all journeys are independent: at the beginning of each journey, the cell (x, y) will still contain a_{x,y} uninteresting tasks. Interaction The interaction will begin with a line containing a single integer n (2 ≤ n ≤ 25), the amount of rows and columns in the grid. Read it. Your program should then print n lines. The x-th line should contain n integers a_{x,1}, a_{x,2}, ..., a_{x,n} satisfying 0 ≤ a_{x,y} ≤ 10^{16}, where a_{x,y} is the amount of uninteresting problems Omkar should place in the cell (x, y). After that, you will first receive a single integer q, the amount of journeys that the duck will take. q queries will follow; each query will consist of a single line containing an integer k, the amount of uninteresting problems that the duck ate on that journey. After each query, given that you have determined that the duck visited the cells (x_1, y_1), (x_2, y_2), ..., (x_{2n - 1}, y_{2n - 1}) in that order (it should always be true that (x_1, y_1) = (1, 1) and (x_{2n - 1}, y_{2n - 1}) = (n, n)), you should output 2n - 1 lines so that the j-th line contains the two integers x_j, y_j. Bear in mind that if the sum on your path is k, but your path is different from the actual hidden path, then your solution is still wrong! After printing each line do not forget to output end of line and flush the output. Otherwise, you will get Idleness limit exceeded. To do this, use: * fflush(stdout) or cout.flush() in C++; * System.out.flush() in Java; * flush(output) in Pascal; * stdout.flush() in Python; * see documentation for other languages. Hack Format To hack, first output a line containing n and another line containing q. It must be true that 2 ≤ n ≤ 25 and 1 ≤ q ≤ 1000. Then, output the q journeys taken by the duck in the same format as described above: for each journey, given that the duck visited the cells (x_1, y_1), (x_2, y_2), ..., (x_{2n - 1}, y_{2n - 1}) in that order, you should output 2n - 1 lines so that the j-th line contains the two integers x_j, y_j. It must be true that (x_1, y_1) = (1, 1) and (x_{2n - 1}, y_{2n - 1}) = (n, n). Additionally, for each j such that 2 ≤ j ≤ 2n - 1, it must be true that 1 ≤ x_j, y_j ≤ n and either (x_j, y_j) = (x_{j - 1} + 1, y_{j - 1}) or (x_j, y_j) = (x_{j - 1}, y_{j - 1} + 1). Example Input 4 3 23 26 27 Output 1 2 3 6 4 6 2 10 9 0 7 3 2 8 8 2 1 1 1 2 1 3 2 3 2 4 3 4 4 4 1 1 2 1 3 1 3 2 3 3 3 4 4 4 1 1 1 2 1 3 1 4 2 4 3 4 4 4 Note The duck's three journeys are illustrated below. 1 + 2 + 3 + 2 + 10 + 3 + 2 = 23 <image> 1 + 4 + 9 + 0 + 7 + 3 + 2 = 26 <image> 1 + 2 + 3 + 6 + 10 + 3 + 2 = 27 <image>
import sys def pow(i,j): s = i+j if i % 2 ==0: return 0 return 2**s def nxt(): s = input() while not s: s = input() return int(s) def main(): (n,) = map(int, input().split(' ')) a = [] for i in range(n): b = [] for j in range(n): z = pow(i,j) b.append(z) print(z, end=" ") a.append(b) print() sys.stdout.flush() for _ in range(nxt()): k = nxt() i = 0 j = 0 print(1, 1) while i < n - 1 or j < n - 1: if i == n - 1: j += 1 elif j == n - 1: i += 1 else: if a[i + 1][j]>0: if a[i + 1][j] & k == a[i + 1][j]: i += 1 else: j += 1 else: if a[i ][j+1] & k == a[i ][j+1]: j += 1 else: i += 1 print(i + 1, j + 1) print() sys.stdout.flush() # for _ in range(int(input())): main()
{ "input": [ "4\n\n\n\n\n3\n23\n\n\n\n\n\n\n\n26\n\n\n\n\n\n\n\n27\n\n\n\n\n\n\n\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n4 4\n1 1\n2 1\n3 1\n3 2\n3 3\n3 4\n4 4\n1 1\n1 2\n1 3\n1 4\n2 4\n3 4\n4 4\n", "2\n1\n1 1\n2 1\n2 2\n", "2\n2\n1 1\n2 1\n2 2\n1 1\n1 2\n2 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 7\n4 7\n5 7\n5 8\n6 8\n7 8\n7 9\n8 9\n9 9\n9 10\n9 11\n9 12\n9 13\n10 13\n11 13\n11 14\n11 15\n11 16\n11 17\n12 17\n13 17\n14 17\n15 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n18 22\n19 22\n20 22\n21 22\n21 23\n22 23\n23 23\n24 23\n24 24\n25 24\n25 25\n", "3\n6\n1 1\n1 2\n2 2\n2 3\n3 3\n1 1\n1 2\n1 3\n2 3\n3 3\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n2 2\n2 3\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n2 2\n3 2\n3 3\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n4 4\n1 1\n2 1\n0 1\n3 2\n3 3\n3 4\n4 4\n1 1\n1 2\n1 3\n1 4\n2 4\n3 4\n4 4\n", "2\n1\n1 1\n2 1\n2 0\n", "2\n2\n1 1\n2 1\n2 0\n1 1\n1 2\n2 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 7\n4 7\n5 2\n5 8\n6 8\n7 8\n7 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4\n4 4\n", "2\n1\n1 1\n2 0\n2 0\n1 2\n1 1\n4 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 8\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n9 12\n9 13\n10 13\n11 13\n11 14\n11 15\n11 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n18 22\n19 22\n20 22\n21 22\n21 23\n22 23\n23 23\n24 23\n24 24\n25 24\n25 25\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n5 4\n4 4\n1 1\n2 1\n0 1\n3 2\n3 3\n3 4\n4 4\n1 1\n1 2\n2 3\n1 3\n2 0\n3 4\n4 4\n", "2\n1\n1 1\n2 0\n1 0\n1 2\n1 1\n4 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 8\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n9 12\n9 13\n10 13\n11 13\n11 14\n11 15\n11 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n18 22\n19 22\n20 22\n21 22\n21 23\n22 23\n40 23\n24 23\n24 24\n25 24\n25 25\n", "3\n12\n1 1\n1 4\n2 2\n2 3\n3 3\n1 1\n1 2\n1 3\n2 3\n3 3\n1 1\n1 0\n2 2\n3 2\n3 0\n1 1\n2 1\n2 2\n2 5\n3 3\n1 1\n2 1\n3 0\n3 2\n3 3\n1 1\n2 1\n1 2\n3 2\n3 3\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n5 4\n4 4\n1 1\n2 1\n0 1\n3 2\n3 3\n3 4\n4 4\n1 1\n1 2\n2 2\n1 3\n2 0\n3 4\n4 4\n", "2\n1\n1 1\n2 0\n1 0\n1 2\n1 1\n6 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 8\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n9 12\n9 13\n10 13\n11 13\n11 14\n11 15\n11 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n33 22\n19 22\n20 22\n21 22\n21 23\n22 23\n40 23\n24 23\n24 24\n25 24\n25 25\n", "3\n12\n1 1\n1 4\n2 2\n2 3\n3 3\n1 1\n1 2\n1 3\n2 3\n3 3\n1 1\n1 0\n2 2\n3 2\n3 0\n1 1\n2 1\n2 2\n2 1\n3 3\n1 1\n2 1\n3 0\n3 2\n3 3\n1 1\n2 1\n1 2\n3 2\n3 3\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n5 4\n4 4\n1 1\n2 1\n0 1\n3 2\n3 3\n3 4\n4 4\n1 1\n1 1\n2 2\n1 3\n2 0\n3 4\n4 4\n", "2\n1\n1 1\n2 0\n1 0\n1 2\n1 0\n6 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 8\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n9 12\n9 13\n10 13\n11 13\n11 14\n11 15\n19 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n33 22\n19 22\n20 22\n21 22\n21 23\n22 23\n40 23\n24 23\n24 24\n25 24\n25 25\n", "3\n12\n1 1\n1 4\n2 2\n2 3\n3 3\n1 1\n1 2\n1 3\n2 3\n3 0\n1 1\n1 0\n2 2\n3 2\n3 0\n1 1\n2 1\n2 2\n2 1\n3 3\n1 1\n2 1\n3 0\n3 2\n3 3\n1 1\n2 1\n1 2\n3 2\n3 3\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n5 4\n4 4\n1 1\n2 1\n0 1\n3 1\n3 3\n3 4\n4 4\n1 1\n1 1\n2 2\n1 3\n2 0\n3 4\n4 4\n", "2\n1\n1 1\n1 0\n1 0\n1 2\n1 0\n6 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 8\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n2 12\n9 13\n10 13\n11 13\n11 14\n11 15\n19 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n33 22\n19 22\n20 22\n21 22\n21 23\n22 23\n40 23\n24 23\n24 24\n25 24\n25 25\n", "3\n12\n1 1\n1 4\n2 2\n2 3\n3 3\n1 1\n1 2\n1 3\n2 3\n3 0\n1 1\n1 0\n2 2\n3 2\n3 0\n1 1\n2 1\n2 2\n2 1\n3 3\n1 1\n2 1\n3 0\n3 2\n3 3\n0 1\n2 1\n1 2\n3 2\n3 3\n", "4\n\n\n\n\n2\n29\n\n\n\n\n\n\n\n10\n\n\n\n\n\n\n\n78\n\n\n\n\n\n\n\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n5 4\n4 4\n1 1\n2 1\n0 1\n3 1\n3 3\n3 4\n4 4\n1 1\n1 1\n2 1\n1 3\n2 0\n3 4\n4 4\n", "2\n1\n1 1\n1 0\n1 0\n1 2\n1 0\n2 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 13\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n2 12\n9 13\n10 13\n11 13\n11 14\n11 15\n19 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n33 22\n19 22\n20 22\n21 22\n21 23\n22 23\n40 23\n24 23\n24 24\n25 24\n25 25\n", "3\n12\n1 1\n1 4\n2 2\n2 3\n3 3\n1 1\n1 2\n1 3\n2 3\n3 0\n1 1\n1 0\n2 2\n3 2\n3 0\n1 1\n2 0\n2 2\n2 1\n3 3\n1 1\n2 1\n3 0\n3 2\n3 3\n0 1\n2 1\n1 2\n3 2\n3 3\n", "4\n3\n1 1\n1 2\n1 3\n2 3\n2 4\n5 4\n4 4\n1 1\n2 1\n0 1\n3 1\n3 3\n3 4\n4 4\n1 1\n1 1\n2 1\n1 3\n2 0\n3 5\n4 4\n", "2\n1\n1 1\n1 0\n2 0\n1 2\n1 0\n2 2\n", "25\n1\n1 1\n1 2\n1 3\n2 3\n2 4\n3 4\n3 5\n3 6\n3 9\n4 7\n5 2\n5 13\n6 8\n7 8\n2 9\n8 9\n9 9\n9 10\n9 11\n2 0\n9 13\n10 13\n11 13\n11 14\n11 15\n19 4\n11 17\n12 21\n13 17\n14 17\n16 17\n15 18\n16 18\n17 18\n17 19\n17 20\n17 21\n18 21\n33 22\n19 22\n20 22\n21 22\n21 23\n22 23\n40 23\n24 23\n24 24\n25 24\n25 25\n" ], "output": [ "1 2 4 8 \n0 0 0 0 \n4 8 16 32 \n0 0 0 0 \n1 1\n1 2\n1 3\n2 3\n3 3\n4 3\n4 4\n\n1 1\n1 2\n2 2\n3 2\n3 3\n4 3\n4 4\n\n1 1\n1 2\n2 2\n3 2\n3 3\n4 3\n4 4\n\n", "1 2 4 8 \n0 0 0 0 \n4 8 16 32 \n0 0 0 0 \n1 1\n2 1\n2 2\n2 3\n2 4\n2 5\n2 6\n1 1\n2 1\n2 2\n2 3\n2 4\n2 5\n2 6\n1 1\n2 1\n2 2\n2 3\n2 4\n2 5\n2 6\n", "1 2\n0 0\n1 1\n2 1\n2 2\n", "1 2\n0 0\n1 1\n2 1\n2 2\n1 1\n2 1\n2 2\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 281474976710656 562949953421312 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0\n1 2 4\n0 0 0\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n1 2\n2 2\n3 2\n3 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n3 1\n4 1\n4 2\n5 2\n5 3\n1 1\n2 1\n2 2\n2 3\n2 4\n3 4\n3 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n2 2\n2 3\n2 4\n3 4\n3 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n3 1\n3 2\n3 3\n4 3\n5 3\n1 1\n2 1\n2 2\n2 3\n2 4\n3 4\n3 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n2 1\n3 1\n3 2\n3 3\n3 4\n3 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n3 1\n3 2\n3 3\n4 3\n5 3\n1 1\n1 2\n2 2\n3 2\n4 2\n4 3\n5 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n3 1\n3 2\n3 3\n4 3\n5 3\n1 1\n2 1\n3 1\n3 2\n4 2\n4 3\n5 3\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n3 1\n3 2\n4 2\n4 3\n5 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n2 2\n2 3\n2 4\n3 4\n3 5\n1 1\n2 1\n2 2\n3 2\n4 2\n5 2\n5 3\n1 1\n2 1\n3 1\n3 2\n4 2\n4 3\n5 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n2 2\n2 3\n2 4\n3 4\n3 5\n1 1\n2 1\n3 1\n4 1\n5 1\n5 2\n5 3\n1 1\n2 1\n3 1\n3 2\n4 2\n4 3\n5 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n2 2\n2 3\n2 4\n3 4\n3 5\n1 1\n2 1\n3 1\n4 1\n5 1\n5 2\n5 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n2 2\n2 3\n2 4\n3 4\n3 5\n1 1\n1 2\n2 2\n2 3\n3 3\n3 4\n3 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 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1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n2 2\n2 3\n2 4\n3 4\n3 5\n1 1\n2 1\n3 1\n4 1\n5 1\n5 2\n5 3\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n", "0 0 0 \n2 4 8 \n0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n2 2\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n2 1\n3 1\n3 2\n3 3\n1 1\n1 2\n1 3\n1 4\n1 5\n1 1\n1 2\n1 3\n1 4\n1 5\n", "0 0 0 0 \n2 4 8 16 \n0 0 0 0 \n8 16 32 64 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "0 0 \n2 4 \n1 1\n1 2\n1 3\n", "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 \n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: This is an interactive problem. Omkar has just come across a duck! The duck is walking on a grid with n rows and n columns (2 ≤ n ≤ 25) so that the grid contains a total of n^2 cells. Let's denote by (x, y) the cell in the x-th row from the top and the y-th column from the left. Right now, the duck is at the cell (1, 1) (the cell in the top left corner) and would like to reach the cell (n, n) (the cell in the bottom right corner) by moving either down 1 cell or to the right 1 cell each second. Since Omkar thinks ducks are fun, he wants to play a game with you based on the movement of the duck. First, for each cell (x, y) in the grid, you will tell Omkar a nonnegative integer a_{x,y} not exceeding 10^{16}, and Omkar will then put a_{x,y} uninteresting problems in the cell (x, y). After that, the duck will start their journey from (1, 1) to (n, n). For each cell (x, y) that the duck crosses during their journey (including the cells (1, 1) and (n, n)), the duck will eat the a_{x,y} uninteresting problems in that cell. Once the duck has completed their journey, Omkar will measure their mass to determine the total number k of uninteresting problems that the duck ate on their journey, and then tell you k. Your challenge, given k, is to exactly reproduce the duck's path, i. e. to tell Omkar precisely which cells the duck crossed on their journey. To be sure of your mastery of this game, Omkar will have the duck complete q different journeys (1 ≤ q ≤ 10^3). Note that all journeys are independent: at the beginning of each journey, the cell (x, y) will still contain a_{x,y} uninteresting tasks. Interaction The interaction will begin with a line containing a single integer n (2 ≤ n ≤ 25), the amount of rows and columns in the grid. Read it. Your program should then print n lines. The x-th line should contain n integers a_{x,1}, a_{x,2}, ..., a_{x,n} satisfying 0 ≤ a_{x,y} ≤ 10^{16}, where a_{x,y} is the amount of uninteresting problems Omkar should place in the cell (x, y). After that, you will first receive a single integer q, the amount of journeys that the duck will take. q queries will follow; each query will consist of a single line containing an integer k, the amount of uninteresting problems that the duck ate on that journey. After each query, given that you have determined that the duck visited the cells (x_1, y_1), (x_2, y_2), ..., (x_{2n - 1}, y_{2n - 1}) in that order (it should always be true that (x_1, y_1) = (1, 1) and (x_{2n - 1}, y_{2n - 1}) = (n, n)), you should output 2n - 1 lines so that the j-th line contains the two integers x_j, y_j. Bear in mind that if the sum on your path is k, but your path is different from the actual hidden path, then your solution is still wrong! After printing each line do not forget to output end of line and flush the output. Otherwise, you will get Idleness limit exceeded. To do this, use: * fflush(stdout) or cout.flush() in C++; * System.out.flush() in Java; * flush(output) in Pascal; * stdout.flush() in Python; * see documentation for other languages. Hack Format To hack, first output a line containing n and another line containing q. It must be true that 2 ≤ n ≤ 25 and 1 ≤ q ≤ 1000. Then, output the q journeys taken by the duck in the same format as described above: for each journey, given that the duck visited the cells (x_1, y_1), (x_2, y_2), ..., (x_{2n - 1}, y_{2n - 1}) in that order, you should output 2n - 1 lines so that the j-th line contains the two integers x_j, y_j. It must be true that (x_1, y_1) = (1, 1) and (x_{2n - 1}, y_{2n - 1}) = (n, n). Additionally, for each j such that 2 ≤ j ≤ 2n - 1, it must be true that 1 ≤ x_j, y_j ≤ n and either (x_j, y_j) = (x_{j - 1} + 1, y_{j - 1}) or (x_j, y_j) = (x_{j - 1}, y_{j - 1} + 1). Example Input 4 3 23 26 27 Output 1 2 3 6 4 6 2 10 9 0 7 3 2 8 8 2 1 1 1 2 1 3 2 3 2 4 3 4 4 4 1 1 2 1 3 1 3 2 3 3 3 4 4 4 1 1 1 2 1 3 1 4 2 4 3 4 4 4 Note The duck's three journeys are illustrated below. 1 + 2 + 3 + 2 + 10 + 3 + 2 = 23 <image> 1 + 4 + 9 + 0 + 7 + 3 + 2 = 26 <image> 1 + 2 + 3 + 6 + 10 + 3 + 2 = 27 <image> ### Input: 4 3 23 26 27 ### Output: 1 2 4 8 0 0 0 0 4 8 16 32 0 0 0 0 1 1 1 2 1 3 2 3 3 3 4 3 4 4 1 1 1 2 2 2 3 2 3 3 4 3 4 4 1 1 1 2 2 2 3 2 3 3 4 3 4 4 ### Input: 4 3 1 1 1 2 1 3 2 3 2 4 3 4 4 4 1 1 2 1 3 1 3 2 3 3 3 4 4 4 1 1 1 2 1 3 1 4 2 4 3 4 4 4 ### Output: 1 2 4 8 0 0 0 0 4 8 16 32 0 0 0 0 1 1 2 1 2 2 2 3 2 4 2 5 2 6 1 1 2 1 2 2 2 3 2 4 2 5 2 6 1 1 2 1 2 2 2 3 2 4 2 5 2 6 ### Code: import sys def pow(i,j): s = i+j if i % 2 ==0: return 0 return 2**s def nxt(): s = input() while not s: s = input() return int(s) def main(): (n,) = map(int, input().split(' ')) a = [] for i in range(n): b = [] for j in range(n): z = pow(i,j) b.append(z) print(z, end=" ") a.append(b) print() sys.stdout.flush() for _ in range(nxt()): k = nxt() i = 0 j = 0 print(1, 1) while i < n - 1 or j < n - 1: if i == n - 1: j += 1 elif j == n - 1: i += 1 else: if a[i + 1][j]>0: if a[i + 1][j] & k == a[i + 1][j]: i += 1 else: j += 1 else: if a[i ][j+1] & k == a[i ][j+1]: j += 1 else: i += 1 print(i + 1, j + 1) print() sys.stdout.flush() # for _ in range(int(input())): main()
1417_A. Copy-paste_34586
— Hey folks, how do you like this problem? — That'll do it. BThero is a powerful magician. He has got n piles of candies, the i-th pile initially contains a_i candies. BThero can cast a copy-paste spell as follows: 1. He chooses two piles (i, j) such that 1 ≤ i, j ≤ n and i ≠ j. 2. All candies from pile i are copied into pile j. Formally, the operation a_j := a_j + a_i is performed. BThero can cast this spell any number of times he wants to — but unfortunately, if some pile contains strictly more than k candies, he loses his magic power. What is the maximum number of times BThero can cast the spell without losing his power? Input The first line contains one integer T (1 ≤ T ≤ 500) — the number of test cases. Each test case consists of two lines: * the first line contains two integers n and k (2 ≤ n ≤ 1000, 2 ≤ k ≤ 10^4); * the second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ k). It is guaranteed that the sum of n over all test cases does not exceed 1000, and the sum of k over all test cases does not exceed 10^4. Output For each test case, print one integer — the maximum number of times BThero can cast the spell without losing his magic power. Example Input 3 2 2 1 1 3 5 1 2 3 3 7 3 2 2 Output 1 5 4 Note In the first test case we get either a = [1, 2] or a = [2, 1] after casting the spell for the first time, and it is impossible to cast it again.
for _ in range(int(input())): n, k = list(map(int,input().split())) arr = list(map(int,input().split())) arr.sort() i, j = 0, 1 c = 0 while j<n: temp = arr[i] + arr[j] if temp <= k: t = k-arr[j] t = t//arr[i] c += t j += 1 print(c)
{ "input": [ "3\n2 2\n1 1\n3 5\n1 2 3\n3 7\n3 2 2\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 7\n3 2 2\n", "3\n2 2\n1 1\n3 5\n1 2 3\n3 7\n4 2 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 7\n3 2 2\n", "3\n2 4\n1 1\n3 5\n1 2 3\n3 7\n4 2 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 7\n4 2 2\n", "3\n2 2\n2 1\n3 5\n1 4 3\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 5\n1 2 4\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 5\n1 2 3\n3 4\n4 2 2\n", "3\n2 4\n1 1\n3 5\n1 1 3\n3 7\n4 2 3\n", "3\n2 2\n1 1\n3 5\n1 2 4\n3 7\n3 2 2\n", "3\n2 2\n1 1\n3 5\n1 3 3\n3 4\n4 2 2\n", "3\n2 4\n1 1\n3 6\n1 2 3\n3 7\n4 3 2\n", "3\n2 4\n1 1\n3 5\n1 1 3\n3 7\n6 2 3\n", "3\n2 4\n1 1\n3 6\n1 1 3\n3 7\n4 3 2\n", "3\n2 4\n1 2\n3 5\n1 1 3\n3 7\n6 2 3\n", "3\n2 2\n2 1\n3 5\n1 2 5\n3 7\n3 2 2\n", "3\n2 2\n2 1\n3 5\n2 4 3\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 9\n1 2 3\n3 4\n4 2 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 7\n1 2 2\n", "3\n2 4\n1 2\n3 8\n1 1 3\n3 7\n6 2 3\n", "3\n2 2\n1 1\n3 5\n1 1 3\n3 7\n4 2 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 12\n1 2 2\n", "3\n2 3\n1 1\n3 5\n1 2 3\n3 7\n6 2 3\n", "3\n2 4\n1 1\n3 8\n1 1 3\n3 7\n6 2 3\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 7\n3 4 2\n", "3\n2 2\n1 1\n3 8\n1 2 3\n3 7\n4 2 2\n", "3\n2 4\n1 1\n3 5\n1 2 3\n3 7\n4 1 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 7\n4 2 1\n", "3\n2 4\n2 1\n3 5\n1 2 3\n3 7\n4 2 3\n", "3\n2 2\n2 1\n3 5\n1 4 3\n3 7\n4 2 1\n", "3\n2 2\n1 1\n3 7\n1 2 4\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 5\n1 1 3\n3 4\n4 2 2\n", "3\n2 4\n1 1\n3 5\n1 2 2\n3 7\n4 1 2\n", "3\n2 4\n1 1\n3 6\n1 2 3\n3 7\n4 6 2\n", "3\n2 2\n2 1\n3 9\n1 2 4\n3 7\n3 2 2\n", "3\n2 2\n1 1\n3 5\n1 1 3\n3 12\n4 2 2\n", "3\n2 4\n1 1\n3 8\n1 1 4\n3 7\n6 2 3\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 5\n3 4 2\n", "3\n2 2\n1 1\n3 8\n1 2 3\n3 8\n4 2 2\n", "3\n2 4\n1 1\n3 5\n1 2 3\n3 4\n4 1 2\n", "3\n2 2\n2 1\n3 5\n1 3 1\n3 7\n4 2 1\n", "3\n2 4\n2 1\n3 5\n1 2 1\n3 7\n4 2 3\n", "3\n2 2\n1 2\n3 7\n1 2 4\n3 7\n4 2 2\n", "3\n2 4\n1 1\n3 5\n1 2 2\n3 9\n4 1 2\n", "3\n2 4\n1 1\n3 7\n1 1 4\n3 7\n6 2 3\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 5\n3 3 2\n", "3\n2 2\n1 1\n3 8\n2 2 3\n3 8\n4 2 2\n", "3\n2 4\n1 1\n3 5\n2 2 3\n3 4\n4 1 2\n", "3\n2 4\n1 1\n3 7\n1 2 4\n3 7\n6 2 3\n", "3\n2 2\n1 1\n3 7\n2 2 3\n3 8\n4 2 2\n", "3\n2 2\n1 1\n3 10\n2 2 3\n3 8\n4 2 2\n", "3\n2 2\n1 1\n3 5\n1 2 3\n3 5\n3 2 2\n", "3\n2 2\n1 1\n3 4\n1 2 3\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 10\n1 2 4\n3 7\n3 2 2\n", "3\n2 4\n1 2\n3 6\n1 1 3\n3 7\n4 3 2\n", "3\n2 2\n2 1\n3 5\n2 4 5\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 9\n1 2 3\n3 4\n4 2 4\n", "3\n2 2\n2 1\n3 4\n1 3 3\n3 7\n1 2 2\n", "3\n2 6\n1 1\n3 5\n1 1 3\n3 7\n6 2 3\n", "3\n2 2\n1 1\n3 5\n1 1 3\n3 7\n4 2 1\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 24\n1 2 2\n", "3\n2 2\n1 1\n3 8\n1 3 3\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 7\n1 2 4\n3 7\n4 2 1\n", "3\n2 4\n2 1\n3 6\n1 2 3\n3 7\n4 6 2\n", "3\n2 4\n1 1\n3 8\n1 1 3\n3 7\n4 3 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 8\n1 2 2\n", "3\n2 2\n2 1\n3 9\n1 2 8\n3 7\n3 2 2\n", "3\n2 2\n1 2\n3 7\n1 2 4\n3 5\n4 2 2\n", "3\n2 2\n2 1\n3 5\n2 3 3\n3 6\n1 2 2\n", "3\n2 2\n1 1\n3 7\n1 2 3\n3 8\n4 2 2\n", "3\n2 2\n1 1\n3 10\n2 2 3\n3 8\n8 2 2\n", "3\n2 2\n1 1\n3 10\n1 3 4\n3 7\n3 2 2\n", "3\n2 4\n1 2\n3 6\n1 1 3\n3 7\n4 3 3\n", "3\n2 2\n2 1\n3 5\n2 4 5\n3 10\n4 2 2\n", "3\n2 2\n2 1\n3 4\n1 3 3\n3 7\n1 1 2\n", "3\n2 2\n1 1\n3 8\n1 3 4\n3 7\n4 2 2\n", "3\n2 4\n4 1\n3 6\n1 2 3\n3 7\n4 6 2\n", "3\n2 2\n1 2\n3 7\n1 1 4\n3 5\n4 2 2\n", "3\n2 2\n1 1\n3 5\n2 3 3\n3 6\n1 2 2\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 3\n3 3 2\n", "3\n2 4\n1 1\n3 5\n1 2 3\n3 7\n4 2 3\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 7\n2 2 2\n", "3\n2 4\n1 1\n3 5\n1 2 3\n3 7\n4 3 2\n", "3\n2 4\n1 1\n3 5\n1 1 3\n3 7\n4 2 2\n", "3\n2 3\n1 1\n3 5\n1 1 3\n3 7\n6 2 3\n", "3\n2 2\n2 1\n3 5\n1 2 4\n3 7\n3 2 2\n", "3\n2 2\n2 2\n3 5\n1 2 5\n3 7\n3 2 2\n", "3\n2 4\n1 1\n3 5\n1 1 3\n3 7\n4 3 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 4\n1 2 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 6\n1 2 2\n", "3\n2 2\n2 2\n3 7\n1 2 4\n3 7\n4 2 2\n", "3\n2 2\n2 1\n3 5\n1 3 3\n3 7\n3 2 3\n", "3\n2 4\n1 1\n3 5\n1 2 3\n3 7\n4 3 3\n", "3\n2 2\n1 1\n3 6\n1 2 4\n3 7\n4 2 2\n", "3\n2 2\n1 1\n3 5\n1 3 3\n3 7\n4 2 2\n", "3\n2 3\n1 1\n3 5\n1 2 3\n3 7\n4 3 2\n", "3\n2 4\n1 1\n3 6\n1 3 3\n3 7\n4 3 2\n", "3\n2 4\n1 1\n3 5\n1 1 3\n3 7\n7 2 3\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 7\n3 5 2\n", "3\n2 2\n2 1\n3 5\n1 2 3\n3 7\n3 3 2\n" ], "output": [ "1\n5\n4\n", "0\n5\n4\n", "1\n5\n3\n", "0\n4\n4\n", "3\n5\n3\n", "0\n4\n3\n", "0\n3\n3\n", "1\n4\n3\n", "1\n5\n1\n", "3\n6\n3\n", "1\n4\n4\n", "1\n4\n1\n", "3\n7\n3\n", "3\n6\n2\n", "3\n8\n3\n", "2\n6\n2\n", "0\n3\n4\n", "0\n1\n3\n", "1\n13\n1\n", "0\n4\n10\n", "2\n12\n2\n", "1\n6\n3\n", "0\n4\n20\n", "2\n5\n2\n", "3\n12\n2\n", "0\n5\n3\n", "1\n11\n3\n", "3\n5\n8\n", "0\n4\n8\n", "2\n5\n3\n", "0\n3\n8\n", "1\n8\n3\n", "1\n6\n1\n", "3\n6\n8\n", "3\n7\n1\n", "0\n12\n4\n", "1\n6\n9\n", "3\n11\n2\n", "0\n5\n1\n", "1\n11\n5\n", "3\n5\n2\n", "0\n6\n8\n", "2\n7\n3\n", "0\n8\n3\n", "3\n6\n12\n", "3\n9\n2\n", "0\n5\n2\n", "1\n5\n5\n", "3\n2\n2\n", "3\n8\n2\n", "1\n4\n5\n", "1\n7\n5\n", "1\n5\n2\n", "1\n3\n3\n", "1\n14\n4\n", "2\n8\n3\n", "0\n0\n3\n", "1\n13\n0\n", "0\n2\n10\n", "5\n6\n2\n", "1\n6\n8\n", "0\n4\n44\n", "1\n10\n3\n", "1\n8\n8\n", "2\n7\n1\n", "3\n12\n3\n", "0\n4\n12\n", "0\n8\n4\n", "0\n8\n1\n", "0\n2\n8\n", "1\n9\n5\n", "1\n7\n3\n", "1\n13\n4\n", "2\n8\n2\n", "0\n0\n7\n", "0\n2\n11\n", "1\n9\n3\n", "0\n7\n1\n", "0\n9\n1\n", "1\n2\n8\n", "0\n5\n0\n", "3\n5\n3\n", "0\n4\n4\n", "3\n5\n3\n", "3\n6\n3\n", "2\n6\n2\n", "0\n4\n4\n", "0\n3\n4\n", "3\n6\n3\n", "0\n4\n4\n", "0\n4\n8\n", "0\n8\n3\n", "0\n4\n4\n", "3\n5\n2\n", "1\n6\n3\n", "1\n4\n3\n", "2\n5\n3\n", "3\n6\n3\n", "3\n6\n2\n", "0\n5\n3\n", "0\n5\n4\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: — Hey folks, how do you like this problem? — That'll do it. BThero is a powerful magician. He has got n piles of candies, the i-th pile initially contains a_i candies. BThero can cast a copy-paste spell as follows: 1. He chooses two piles (i, j) such that 1 ≤ i, j ≤ n and i ≠ j. 2. All candies from pile i are copied into pile j. Formally, the operation a_j := a_j + a_i is performed. BThero can cast this spell any number of times he wants to — but unfortunately, if some pile contains strictly more than k candies, he loses his magic power. What is the maximum number of times BThero can cast the spell without losing his power? Input The first line contains one integer T (1 ≤ T ≤ 500) — the number of test cases. Each test case consists of two lines: * the first line contains two integers n and k (2 ≤ n ≤ 1000, 2 ≤ k ≤ 10^4); * the second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ k). It is guaranteed that the sum of n over all test cases does not exceed 1000, and the sum of k over all test cases does not exceed 10^4. Output For each test case, print one integer — the maximum number of times BThero can cast the spell without losing his magic power. Example Input 3 2 2 1 1 3 5 1 2 3 3 7 3 2 2 Output 1 5 4 Note In the first test case we get either a = [1, 2] or a = [2, 1] after casting the spell for the first time, and it is impossible to cast it again. ### Input: 3 2 2 1 1 3 5 1 2 3 3 7 3 2 2 ### Output: 1 5 4 ### Input: 3 2 2 2 1 3 5 1 2 3 3 7 3 2 2 ### Output: 0 5 4 ### Code: for _ in range(int(input())): n, k = list(map(int,input().split())) arr = list(map(int,input().split())) arr.sort() i, j = 0, 1 c = 0 while j<n: temp = arr[i] + arr[j] if temp <= k: t = k-arr[j] t = t//arr[i] c += t j += 1 print(c)
1433_F. Zero Remainder Sum _34590
You are given a matrix a of size n × m consisting of integers. You can choose no more than \left⌊m/2\right⌋ elements in each row. Your task is to choose these elements in such a way that their sum is divisible by k and this sum is the maximum. In other words, you can choose no more than a half (rounded down) of elements in each row, you have to find the maximum sum of these elements divisible by k. Note that you can choose zero elements (and the sum of such set is 0). Input The first line of the input contains three integers n, m and k (1 ≤ n, m, k ≤ 70) — the number of rows in the matrix, the number of columns in the matrix and the value of k. The next n lines contain m elements each, where the j-th element of the i-th row is a_{i, j} (1 ≤ a_{i, j} ≤ 70). Output Print one integer — the maximum sum divisible by k you can obtain. Examples Input 3 4 3 1 2 3 4 5 2 2 2 7 1 1 4 Output 24 Input 5 5 4 1 2 4 2 1 3 5 1 2 4 1 5 7 1 2 3 8 7 1 2 8 4 7 1 6 Output 56 Note In the first example, the optimal answer is 2 and 4 in the first row, 5 and 2 in the second row and 7 and 4 in the third row. The total sum is 2 + 4 + 5 + 2 + 7 + 4 = 24.
import sys, math import io, os #data = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline #from bisect import bisect_left as bl, bisect_right as br, insort #from heapq import heapify, heappush, heappop from collections import defaultdict as dd, deque, Counter #from itertools import permutations,combinations def data(): return sys.stdin.readline().strip() def mdata(): return list(map(int, data().split())) def outl(var) : sys.stdout.write('\n'.join(map(str, var))+'\n') def out(var) : sys.stdout.write(str(var)+'\n') #from decimal import Decimal #from fractions import Fraction #sys.setrecursionlimit(100000) INF = float('inf') mod = int(1e9)+7 n,m,k=mdata() A=[mdata() for i in range(n)] dp1=[-INF]*k dp1[0]=0 for i in range(n): dp=[[-INF]*(m//2+1) for _ in range(k)] dp[0][0]=0 for j in range(m): a=A[i][j] for x in range(m // 2,0,-1): for y in range(k): dp[(y+a)%k][x]=max(dp[(y+a)%k][x],dp[y][x-1]+a) dp2=dp1[::] for x in range(k): for y in range(k): dp2[(x+y)%k]=max(dp2[(x+y)%k],dp1[x]+max(dp[y])) dp1=dp2[::] out(dp1[0])
{ "input": [ "3 4 3\n1 2 3 4\n5 2 2 2\n7 1 1 4\n", "5 5 4\n1 2 4 2 1\n3 5 1 2 4\n1 5 7 1 2\n3 8 7 1 2\n8 4 7 1 6\n", "10 20 69\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n", "2 3 2\n9 3 8\n4 2 3\n", "1 4 4\n49 44 14 18\n", "7 3 10\n19 1 70\n54 58 18\n53 7 20\n21 5 27\n23 47 16\n26 52 25\n34 10 1\n", "3 3 5\n21 13 68\n62 3 17\n54 6 2\n", "2 2 5\n3 3\n3 3\n", "3 4 10\n3 3 3 3\n3 3 3 3\n3 3 3 3\n", "2 2 2\n1 3\n1 4\n", "2 2 10\n2 2\n2 2\n", "5 4 8\n14 62 30 14\n11 62 5 29\n51 62 9 41\n47 49 38 21\n26 22 70 64\n", "3 7 8\n7 67 56 16 53 13 42\n8 57 16 6 23 62 66\n20 41 17 46 63 41 24\n", "6 2 33\n55 58\n27 22\n3 54\n6 53\n50 50\n31 21\n", "4 2 10\n20 67\n12 28\n26 38\n46 1\n", "4 2 62\n19 1\n55 8\n53 20\n26 15\n", "2 2 9\n1 5\n1 7\n", "6 2 5\n62 17\n28 4\n37 1\n32 67\n66 47\n16 28\n", "8 2 3\n2 50\n59 33\n7 16\n29 55\n45 27\n8 10\n52 11\n41 19\n", "2 1 3\n69\n69\n", "4 3 70\n58 20 41\n9 18 67\n13 46 53\n24 51 9\n", "1 9 59\n69 25 67 62 37 15 67 47 34\n", "1 4 15\n14 15 17 17\n", "2 2 60\n1 1\n1 1\n", "6 2 28\n16 3\n18 43\n55 45\n1 61\n53 9\n46 26\n", "2 3 7\n62 14 10\n38 24 19\n", "6 2 56\n32 32\n63 50\n24 49\n53 37\n15 51\n40 9\n", "8 2 21\n16 50\n2 65\n20 9\n59 5\n68 23\n28 20\n8 57\n56 62\n", "1 6 5\n70 70 62 61 1 1\n", "5 2 25\n18 34\n33 23\n3 63\n59 46\n15 68\n", "1 6 7\n7 13 13 13 13 13\n", "6 2 10\n65 64\n70 2\n60 43\n58 27\n29 46\n60 17\n", "5 4 64\n13 14 62 35\n32 6 30 13\n39 16 62 39\n18 58 12 43\n32 45 11 50\n", "1 3 9\n52 10 59\n", "1 4 9\n8 8 8 8\n", "1 4 5\n2 3 11 13\n", "3 2 11\n13 62\n9 53\n19 47\n", "4 2 35\n44 49\n29 35\n5 17\n59 2\n", "2 1 2\n1\n1\n", "2 2 5\n1 6\n6 6\n", "1 23 56\n10 57 50 46 56 4 64 35 47 43 33 51 18 45 55 4 5 61 59 57 21 53 44\n", "3 3 49\n9 8 64\n36 5 29\n11 23 63\n", "3 4 9\n8 8 8 8\n8 8 8 8\n8 8 8 8\n", "2 2 3\n1 1\n1 1\n", "1 9 3\n28 11 24 56 62 35 30 31 28\n", "2 2 4\n2 3\n3 3\n", "1 2 5\n1 2\n", "7 2 8\n10 18\n30 59\n68 15\n55 2\n4 3\n45 18\n70 36\n", "2 2 5\n1 1\n1 1\n", "5 3 3\n2 2 2\n2 2 2\n2 2 2\n2 2 2\n2 2 2\n", "9 5 35\n3 6 7 8 6\n8 1 6 6 3\n6 8 6 3 7\n2 8 10 7 2\n5 5 7 6 6\n2 5 4 9 7\n8 4 1 2 3\n1 3 7 7 7\n8 4 1 2 9\n", "5 8 6\n28 20 8 15 65 21 44 24\n12 64 36 12 8 48 32 41\n53 36 58 27 61 17 49 69\n61 54 5 47 52 66 9 2\n27 17 44 28 49 6 59 27\n", "5 2 43\n33 61\n39 3\n10 61\n10 66\n50 66\n", "7 2 7\n9 7\n50 2\n47 51\n17 68\n70 58\n43 19\n48 24\n", "1 2 3\n3 2\n", "6 2 7\n9 17\n4 64\n6 59\n10 14\n33 64\n50 30\n", "3 3 70\n1 1 1\n1 1 1\n1 1 1\n", "5 1 34\n24\n6\n36\n55\n42\n", "3 2 5\n2 2\n2 2\n2 2\n", "2 2 5\n4 4\n4 4\n", "3 3 8\n34 36 28\n26 56 48\n9 43 21\n", "5 7 7\n7 9 50 67 24 45 13\n40 47 33 12 58 14 8\n19 62 63 44 40 3 14\n24 57 20 7 44 27 26\n65 13 27 62 15 48 35\n", "2 2 17\n21 4\n35 28\n", "1 2 4\n70 1\n", "8 7 4\n26 60 44 6 15 23 65\n38 68 60 40 18 28 63\n52 69 30 31 43 44 30\n34 49 49 49 18 6 63\n64 47 1 37 42 17 38\n9 59 9 57 64 69 28\n50 28 7 23 62 6 63\n51 62 24 51 62 53 21\n", "5 2 8\n16 38\n28 61\n40 10\n48 26\n24 49\n", "3 3 69\n70 70 70\n70 70 70\n70 70 70\n", "5 2 57\n28 68\n54 37\n39 27\n3 29\n70 70\n", "2 8 35\n41 60 45 69 29 13 35 36\n6 42 28 22 2 56 43 68\n", "2 7 1\n2 35 41 36 1 1 57\n22 9 49 2 31 3 7\n", "2 2 32\n23 17\n22 7\n", "2 5 10\n21 2 34 64 60\n28 19 16 5 69\n", "2 2 4\n3 3\n3 3\n", "6 2 9\n68 17\n56 66\n28 38\n51 11\n39 47\n66 57\n", "7 2 8\n2 17\n9 69\n15 33\n59 53\n61 61\n70 62\n28 62\n", "2 2 5\n1 5\n1 7\n", "3 2 8\n12 43\n51 23\n5 47\n", "3 2 6\n1 1\n9 6\n4 7\n", "2 2 4\n1 5\n1 6\n", "8 3 7\n7 26 27\n46 16 23\n11 36 65\n37 43 19\n16 26 59\n35 39 45\n13 12 31\n16 57 57\n", "4 10 2\n38 37 6 28 18 34 46 20 40 44\n43 59 49 11 59 19 70 64 18 25\n45 4 24 46 49 21 7 15 56 28\n22 56 37 40 37 13 32 25 57 31\n", "3 5 3\n63 37 25 28 56\n58 40 25 56 64\n15 34 60 28 55\n", "3 4 4\n1 1 1 1\n1 1 1 1\n1 1 1 1\n", "4 4 2\n8 8 8 8\n8 8 8 8\n8 8 8 8\n8 7 2 2\n", "2 2 8\n7 7\n7 7\n", "8 2 4\n64 22\n11 25\n67 29\n22 53\n22 59\n68 38\n63 31\n19 68\n", "3 3 11\n4 4 4\n4 4 4\n4 4 4\n", "4 2 68\n44 34\n47 65\n20 57\n57 26\n", "2 3 10\n62 32 25\n31 39 70\n", "3 2 10\n55 1\n1 1\n1 1\n", "3 3 61\n42 25 5\n12 68 10\n19 2 50\n", "2 2 9\n15 15\n10 69\n", "7 2 45\n26 54\n45 66\n65 8\n17 66\n60 32\n63 21\n2 17\n", "7 2 18\n42 70\n22 6\n41 59\n20 20\n41 56\n1 60\n29 30\n", "2 2 5\n3 4\n3 4\n", "1 1 2\n1\n", "4 6 51\n3 8 6 2 1 3\n7 6 6 1 6 7\n3 1 4 1 4 1\n10 7 6 8 3 1\n", "1 8 20\n15 59 35 23 21 33 30 5\n", "3 2 50\n30 30\n30 30\n30 30\n", "3 3 7\n1 7 5\n1 5 5\n1 5 5\n", "2 2 6\n64 22\n31 42\n", "9 2 16\n66 36\n57 14\n46 32\n69 17\n8 42\n4 14\n20 70\n34 69\n37 52\n", "2 2 5\n1 3\n3 1\n", "3 4 7\n51 2 6 7\n52 62 65 5\n6 6 62 62\n", "2 7 68\n12 13 47 6 19 32 46\n36 65 25 68 18 50 10\n", "3 2 2\n5 5\n5 5\n5 5\n", "7 2 9\n27 16\n40 36\n18 38\n48 17\n20 62\n37 49\n14 23\n", "7 5 4\n69 60 32 53 64\n17 66 70 63 27\n18 67 48 62 2\n49 35 43 45 62\n43 23 64 31 16\n18 39 27 69 65\n20 55 42 46 35\n", "4 4 3\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n", "3 2 47\n1 14\n66 37\n30 12\n", "14 7 19\n7 2 57 50 36 70 11\n34 33 25 27 16 28 46\n48 15 67 9 18 35 4\n58 34 31 43 66 9 16\n38 56 36 3 17 10 7\n61 38 47 11 28 26 41\n38 5 9 6 51 64 57\n40 39 41 20 56 60 68\n49 30 8 69 35 12 17\n41 37 17 46 55 55 53\n18 15 50 14 9 40 20\n9 1 21 64 44 33 43\n62 30 43 14 13 22 58\n39 46 65 52 36 41 68\n", "2 2 52\n50 15\n26 57\n", "3 3 8\n1 5 2\n1 7 2\n2 2 2\n", "10 3 59\n27 52 15\n30 40 40\n41 59 69\n22 48 66\n25 53 5\n8 47 34\n4 49 18\n42 37 64\n31 11 38\n15 34 24\n", "5 5 3\n2 2 2 2 2\n2 2 2 2 2\n2 2 2 2 2\n2 2 2 2 2\n2 2 2 2 2\n", "1 4 8\n6 48 31 55\n", "2 7 31\n23 26 57 15 39 9 48\n48 48 15 70 59 62 63\n", "9 2 24\n29 23\n62 24\n58 59\n57 17\n66 40\n70 2\n7 6\n41 35\n16 9\n", "4 2 21\n10 26\n2 46\n68 57\n22 61\n", "2 2 4\n1 1\n1 2\n", "3 3 2\n1 1 1\n1 1 1\n1 1 1\n", "2 2 3\n1 1\n1 5\n", "2 6 44\n68 69 61 6 3 56\n2 45 15 59 58 41\n", "6 2 64\n62 23\n7 59\n55 23\n66 27\n65 5\n67 55\n", "1 2 3\n3 3\n", "9 6 26\n9 37 42 47 27 70\n30 22 30 58 45 70\n25 44 7 22 14 64\n66 13 33 3 23 5\n44 60 53 37 8 24\n24 13 14 25 9 26\n12 27 68 6 16 51\n32 65 65 32 47 4\n69 28 9 58 63 16\n", "2 2 8\n39 59\n24 35\n", "2 2 9\n50 36\n61 44\n", "7 2 5\n54 6\n61 13\n31 69\n4 53\n52 40\n65 26\n22 32\n", "3 3 26\n6 58 63\n37 41 14\n33 37 65\n", "9 2 37\n30 37\n12 68\n12 2\n11 7\n1 27\n54 6\n26 43\n30 43\n65 2\n", "1 3 3\n8 8 8\n", "1 2 2\n3 3\n", "10 20 69\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n", "8 2 67\n50 9\n21 34\n62 66\n54 24\n31 62\n47 17\n56 61\n21 44\n", "7 3 70\n21 51 35\n38 68 26\n48 61 10\n2 60 24\n34 10 8\n16 26 1\n7 68 59\n", "2 2 7\n66 24\n50 31\n", "5 2 5\n1 1\n1 1\n1 1\n1 1\n1 1\n", "2 8 9\n18 35 56 37 4 7 32 64\n48 63 22 70 11 24 5 61\n", "1 5 38\n21 43 43 67 29\n", "3 4 3\n1 1 3 4\n5 2 2 2\n7 1 1 4\n", "2 2 10\n1 1\n1 1\n", "1 6 60\n32 40 47 29 60 38\n", "3 3 10\n3 6 9\n8 20 20\n13 13 13\n", "3 3 7\n5 5 5\n5 5 5\n5 5 5\n", "3 3 7\n1 5 5\n7 5 5\n6 5 5\n", "2 4 40\n14 6 8 11\n23 7 25 5\n", "3 4 10\n3 3 3 3\n3 6 8 5\n3 8 8 5\n", "2 6 23\n57 6 52 22 10 5\n56 67 53 20 47 5\n", "5 5 13\n15 15 15 15 15\n15 15 15 15 15\n15 15 15 15 15\n15 15 15 15 15\n15 15 15 15 15\n", "3 4 3\n6 5 6 8\n1 4 1 9\n3 3 7 4\n", "2 3 7\n51 13 19\n8 35 25\n", "1 2 10\n17 3\n", "2 3 10\n64 56 64\n69 32 17\n", "4 3 6\n27 35 30\n9 11 55\n39 65 57\n22 64 41\n", "2 2 3\n1 7\n1 7\n", "3 2 7\n33 47\n49 22\n32 20\n", "7 2 9\n6 9\n3 6\n10 5\n5 10\n5 2\n4 3\n8 4\n", "1 2 7\n44 25\n", "4 2 18\n17 52\n51 52\n57 14\n60 58\n", "2 2 7\n65 58\n4 3\n", "3 3 8\n2 5 1\n1 7 1\n2 2 3\n", "4 2 10\n27 12\n47 15\n17 29\n58 48\n", "2 2 3\n5 20\n3 5\n", "8 9 5\n9 68 60 18 64 32 3 23 17\n65 29 38 2 20 54 3 67 35\n67 34 24 2 35 35 1 13 19\n9 17 1 14 34 33 24 13 14\n19 12 13 49 6 53 59 42 16\n52 24 25 22 40 62 18 42 8\n27 16 32 46 49 10 3 12 27\n17 10 16 51 37 19 64 54 8\n", "2 3 4\n1 1 1\n1 1 1\n", "1 10 35\n6 1 17 23 66 25 49 51 34 39\n", "2 2 5\n4 3\n9 8\n", "1 2 3\n10 10\n", "3 4 3\n7 7 7 7\n7 7 7 7\n3 3 3 3\n", "8 2 10\n31 39\n40 28\n41 5\n28 18\n16 14\n26 57\n23 1\n61 50\n", "2 2 3\n1 4\n1 4\n", "3 7 29\n14 1 55 65 57 19 53\n41 20 10 5 39 37 49\n62 70 48 3 22 27 38\n", "3 3 67\n1 1 1\n1 1 1\n1 1 1\n", "2 2 8\n18 39\n59 60\n", "1 7 4\n59 51 50 65 59 51 9\n", "8 6 4\n46 41 41 66 50 42\n57 28 52 58 69 41\n33 42 33 33 41 64\n60 49 3 47 14 26\n55 53 36 29 13 14\n63 21 25 21 5 36\n62 23 56 34 20 42\n70 19 26 10 17 62\n", "2 2 2\n4 2\n3 15\n", "7 1 39\n59\n4\n20\n27\n3\n52\n60\n", "5 4 6\n13 38 59 26\n28 62 36 14\n45 57 20 70\n31 10 51 42\n20 34 9 32\n", "2 2 3\n13 3\n1 3\n", "6 2 5\n56 46\n30 2\n22 46\n16 11\n64 10\n61 70\n", "2 2 4\n1 9\n1 5\n", "2 2 3\n2 2\n2 2\n", "2 2 63\n20 24\n5 35\n", "2 2 8\n35 69\n49 54\n", "1 4 6\n5 3 2 2\n", "2 2 5\n5 5\n7 7\n", "3 3 19\n11 18 1\n13 8 8\n3 9 3\n", "2 2 7\n3 4\n5 2\n", "38 2 53\n66 44\n25 14\n54 48\n22 54\n50 36\n23 49\n13 26\n48 26\n13 57\n54 29\n26 32\n47 36\n31 29\n63 66\n53 19\n32 3\n33 53\n16 30\n66 52\n25 11\n1 45\n38 15\n59 7\n31 37\n37 46\n23 1\n10 8\n49 69\n32 26\n21 26\n11 61\n65 5\n42 24\n53 53\n28 48\n1 50\n4 54\n70 25\n", "3 3 5\n2 2 2\n2 2 2\n2 2 2\n", "3 2 10\n29 16\n65 23\n11 28\n", "3 2 33\n8 7\n50 13\n26 30\n", "3 3 8\n70 69 62\n70 70 70\n70 70 70\n", "3 4 19\n10 10 1 1\n10 10 1 1\n10 10 1 1\n", "4 2 46\n1 56\n6 46\n12 28\n69 42\n", "5 3 9\n39 7 12\n3 35 13\n64 22 34\n7 29 23\n21 61 28\n", "6 2 5\n36 13\n46 26\n31 14\n60 66\n15 27\n56 44\n", "3 3 6\n4 6 4\n2 7 1\n2 2 2\n", "5 3 6\n37 47 52\n46 68 25\n13 68 43\n63 59 34\n5 62 37\n", "4 2 6\n10 9\n10 9\n10 5\n10 5\n", "3 4 3\n1 1 4 4\n8 5 4 1\n7 1 1 4\n", "2 3 6\n1 68 22\n19 33 12\n", "1 3 3\n4 4 4\n", "2 2 8\n26 30\n13 23\n", "2 5 11\n30 65 26 33 59\n7 52 3 1 21\n", "2 4 64\n53 52 43 56\n2 57 34 23\n", "6 2 10\n68 22\n40 67\n59 52\n39 43\n10 44\n65 2\n", "3 2 3\n1 5\n1 9\n1 9\n", "5 2 52\n15 18\n17 23\n29 46\n58 58\n48 25\n", "5 6 38\n6 13 48 59 20 17\n35 49 44 64 63 2\n63 4 66 5 66 32\n43 68 53 70 64 59\n65 56 5 27 58 9\n", "3 8 7\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n", "1 10 9\n20 10 8 9 5 55 42 31 18 5\n", "8 2 3\n51 22\n4 9\n25 36\n14 62\n58 9\n61 1\n35 18\n2 43\n", "3 2 13\n1 1\n13 1\n1 1\n", "3 3 69\n56 51 68\n68 4 66\n11 58 58\n", "7 2 6\n40 6\n8 25\n13 54\n55 67\n33 41\n3 33\n67 33\n", "4 2 35\n17 59\n29 47\n64 30\n33 25\n", "5 2 3\n39 2\n29 25\n64 21\n40 61\n67 43\n", "4 2 23\n23 5\n5 5\n5 5\n5 5\n", "5 3 61\n7 68 7\n59 14 55\n16 12 18\n53 68 56\n59 6 68\n", "2 2 11\n6 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2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given a matrix a of size n × m consisting of integers. You can choose no more than \left⌊m/2\right⌋ elements in each row. Your task is to choose these elements in such a way that their sum is divisible by k and this sum is the maximum. In other words, you can choose no more than a half (rounded down) of elements in each row, you have to find the maximum sum of these elements divisible by k. Note that you can choose zero elements (and the sum of such set is 0). Input The first line of the input contains three integers n, m and k (1 ≤ n, m, k ≤ 70) — the number of rows in the matrix, the number of columns in the matrix and the value of k. The next n lines contain m elements each, where the j-th element of the i-th row is a_{i, j} (1 ≤ a_{i, j} ≤ 70). Output Print one integer — the maximum sum divisible by k you can obtain. Examples Input 3 4 3 1 2 3 4 5 2 2 2 7 1 1 4 Output 24 Input 5 5 4 1 2 4 2 1 3 5 1 2 4 1 5 7 1 2 3 8 7 1 2 8 4 7 1 6 Output 56 Note In the first example, the optimal answer is 2 and 4 in the first row, 5 and 2 in the second row and 7 and 4 in the third row. The total sum is 2 + 4 + 5 + 2 + 7 + 4 = 24. ### Input: 3 4 3 1 2 3 4 5 2 2 2 7 1 1 4 ### Output: 24 ### Input: 5 5 4 1 2 4 2 1 3 5 1 2 4 1 5 7 1 2 3 8 7 1 2 8 4 7 1 6 ### Output: 56 ### Code: import sys, math import io, os #data = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline #from bisect import bisect_left as bl, bisect_right as br, insort #from heapq import heapify, heappush, heappop from collections import defaultdict as dd, deque, Counter #from itertools import permutations,combinations def data(): return sys.stdin.readline().strip() def mdata(): return list(map(int, data().split())) def outl(var) : sys.stdout.write('\n'.join(map(str, var))+'\n') def out(var) : sys.stdout.write(str(var)+'\n') #from decimal import Decimal #from fractions import Fraction #sys.setrecursionlimit(100000) INF = float('inf') mod = int(1e9)+7 n,m,k=mdata() A=[mdata() for i in range(n)] dp1=[-INF]*k dp1[0]=0 for i in range(n): dp=[[-INF]*(m//2+1) for _ in range(k)] dp[0][0]=0 for j in range(m): a=A[i][j] for x in range(m // 2,0,-1): for y in range(k): dp[(y+a)%k][x]=max(dp[(y+a)%k][x],dp[y][x-1]+a) dp2=dp1[::] for x in range(k): for y in range(k): dp2[(x+y)%k]=max(dp2[(x+y)%k],dp1[x]+max(dp[y])) dp1=dp2[::] out(dp1[0])
1458_E. Nim Shortcuts_34593
After your debut mobile game "Nim" blew up, you decided to make a sequel called "Nim 2". This game will expand on the trusted Nim game formula, adding the much awaited second heap! In the game, there are two heaps, each containing a non-negative number of stones. Two players make moves in turn. On their turn, a player can take any positive number of stones from either one of the heaps. A player who is unable to move loses the game. To make the game easier to playtest, you've introduced developer shortcuts. There are n shortcut positions (x_1, y_1), …, (x_n, y_n). These change the game as follows: suppose that before a player's turn the first and second heap contain x and y stones respectively. If the pair (x, y) is equal to one of the pairs (x_i, y_i), then the player about to move loses instantly, otherwise they are able to make moves as normal. Note that in the above explanation the two heaps and all pairs are ordered, that is, x must refer to the size of the first heap, and y must refer to the size of the second heap. The game release was followed by too much celebration, and next thing you know is developer shortcuts made their way to the next official update of the game! Players now complain that the AI opponent has become unbeatable at certain stages of the game. You now have to write a program to figure out which of the given initial positions can be won by the starting player, assuming both players act optimally. Input The first line contains two integers n and m (1 ≤ n, m ≤ 10^5) — the number of shortcut positions, and the number of initial positions that need to be evaluated. The following n lines describe shortcut positions. The i-th of these lines contains two integers x_i, y_i (0 ≤ x_i, y_i ≤ 10^9). It is guaranteed that all shortcut positions are distinct. The following m lines describe initial positions. The i-th of these lines contains two integers a_i, b_i (0 ≤ a_i, b_i ≤ 10^9) — the number of stones in the first and second heap respectively. It is guaranteed that all initial positions are distinct. However, initial positions are not necessarily distinct from shortcut positions. Output For each initial position, on a separate line print "WIN" if the starting player is able to win from this position, and "LOSE" otherwise. Example Input 3 5 3 0 0 1 2 2 0 0 1 1 2 2 3 3 5 4 Output LOSE WIN LOSE WIN LOSE
from heapq import * from bisect import bisect_left n, m = map(int, input().split()) inf = 15 * 10 ** 8 norm = [] rev = [] slow = set() for _ in range(n):x, y = map(int, input().split());heappush(norm, (x,y));heappush(rev, (y,x));slow.add((x,y)) cx = cy = 0 skipX=[] skipY=[] for i in range(2 * n): tl = tr = inf tlp = trp = (inf, inf) if norm:tl = norm[0][0] - cx;tlp = (norm[0][0] - cx, norm[0][1] - cy) if rev:tr = rev[0][0] - cy;trp = (rev[0][0] - cy, rev[0][1] - cx) if tlp < trp: x, y = heappop(norm) if tl < 0:continue cx+=tl;cy+=tl assert x == cx if y < cy:skipX.append(x);cx += 1 else: y, x = heappop(rev) if tr < 0: continue cx+=tr;cy+=tr assert y == cy if x < cx: skipY.append(y) cy += 1 out = [] for _ in range(m): x, y = map(int, input().split()) if (x, y) in slow: out.append('LOSE'); continue csx = bisect_left(skipX, x); csy = bisect_left(skipY, y) if csx < len(skipX) and skipX[csx] == x: out.append('WIN'); continue if csy < len(skipY) and skipY[csy] == y: out.append('WIN'); continue out.append('LOSE' if x-csx==y-csy else 'WIN') print('\n'.join(map(str,out)))
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9\n4 0\n8 1\n6 10\n4 6\n", "4 1\n4 5\n4 0\n9 1\n5 9\n4 4\n", "4 1\n2 9\n7 1\n5 1\n5 6\n0 4\n", "4 1\n2 9\n4 0\n6 0\n6 6\n2 4\n", "4 1\n2 3\n4 0\n9 1\n5 6\n4 8\n", "4 1\n0 2\n4 0\n5 1\n6 6\n2 1\n", "4 1\n2 17\n4 0\n5 1\n6 10\n7 4\n", "4 1\n2 5\n1 0\n9 0\n5 6\n5 5\n", "4 1\n3 9\n6 0\n5 1\n6 4\n0 4\n", "4 1\n0 4\n4 0\n5 1\n1 6\n2 4\n", "4 1\n2 9\n4 1\n0 1\n6 10\n5 4\n", "4 1\n2 4\n4 0\n2 0\n5 6\n4 1\n", "4 1\n3 18\n4 0\n5 1\n2 6\n0 4\n", "4 1\n2 9\n4 1\n9 1\n6 9\n2 4\n", "4 1\n2 4\n4 1\n9 0\n5 7\n3 5\n", "4 1\n2 9\n4 2\n1 1\n6 10\n1 4\n", "4 1\n2 4\n4 1\n9 0\n0 7\n4 2\n", "4 1\n2 6\n1 0\n5 1\n5 11\n4 4\n", "4 1\n2 9\n4 0\n8 1\n11 10\n4 6\n", "4 1\n4 5\n4 0\n5 1\n5 9\n4 4\n", "4 1\n2 9\n4 0\n6 0\n6 10\n2 4\n", "4 1\n0 2\n4 0\n6 1\n6 6\n2 1\n", "4 1\n2 17\n4 0\n5 2\n6 10\n7 4\n", "4 1\n2 5\n1 0\n9 0\n5 4\n5 5\n", "4 1\n0 4\n4 0\n5 1\n1 6\n3 4\n", "4 1\n3 9\n4 1\n0 1\n6 10\n5 4\n", "4 1\n2 4\n4 0\n1 0\n5 6\n4 1\n", "4 1\n3 18\n4 0\n5 2\n2 6\n0 4\n", "4 1\n2 9\n1 1\n9 1\n6 9\n2 4\n", "4 1\n2 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1\n3 2\n9 0\n5 7\n3 5\n", "4 1\n2 9\n4 2\n1 1\n2 10\n0 2\n", "4 1\n5 5\n7 0\n5 0\n5 9\n8 4\n", "4 1\n2 9\n1 0\n1 1\n5 3\n5 5\n", "4 1\n4 9\n4 1\n0 1\n6 3\n5 0\n", "4 1\n3 18\n1 0\n5 2\n4 12\n0 1\n", "3 1\n4 1\n3 2\n9 0\n5 7\n3 5\n", "4 1\n2 8\n4 2\n1 1\n2 10\n0 2\n", "4 1\n5 5\n7 1\n5 0\n5 9\n8 4\n", "4 1\n2 9\n1 0\n1 1\n5 3\n5 1\n", "4 1\n0 9\n4 1\n0 1\n6 3\n5 0\n", "4 1\n6 18\n1 0\n5 2\n4 12\n0 1\n", "3 1\n4 1\n3 1\n9 0\n5 7\n3 5\n", "4 1\n2 8\n4 2\n0 1\n2 10\n0 2\n", "4 1\n2 9\n1 0\n1 1\n5 2\n5 1\n", "4 1\n0 9\n8 1\n0 1\n6 3\n5 0\n", "4 1\n6 18\n1 0\n5 1\n4 12\n0 1\n", "4 1\n2 8\n4 2\n-1 1\n2 10\n0 2\n", "4 1\n0 9\n1 0\n1 1\n5 2\n5 1\n", "4 1\n0 9\n8 1\n0 2\n6 3\n5 0\n", "4 1\n6 18\n1 0\n5 1\n4 23\n0 1\n", "4 1\n0 9\n8 1\n0 2\n8 3\n5 0\n", "4 1\n6 20\n1 0\n5 1\n4 23\n0 1\n", "4 1\n1 9\n8 1\n0 2\n8 3\n5 0\n", "4 1\n6 20\n1 0\n5 1\n4 23\n0 0\n", "4 1\n1 9\n8 1\n1 2\n8 3\n5 0\n", "4 1\n2 20\n1 0\n5 1\n4 23\n0 0\n", "4 1\n1 9\n8 1\n1 2\n8 3\n7 0\n", "4 1\n2 20\n1 0\n5 2\n4 23\n0 0\n", "4 1\n1 5\n4 0\n5 1\n5 6\n4 4\n", "4 1\n2 9\n4 0\n5 1\n6 1\n4 4\n", "4 1\n2 5\n4 0\n11 1\n5 6\n4 4\n", "4 1\n2 9\n4 0\n5 1\n5 1\n0 4\n", "4 1\n2 9\n4 0\n5 1\n4 6\n2 4\n", "4 1\n2 9\n4 0\n5 1\n6 10\n14 4\n", "4 1\n2 3\n3 0\n9 1\n5 6\n4 5\n", "4 1\n3 9\n4 0\n5 1\n2 6\n0 4\n", "4 1\n0 2\n4 0\n5 0\n6 6\n2 4\n", "4 1\n2 9\n3 0\n9 1\n6 10\n7 4\n", "4 1\n2 2\n4 0\n7 1\n1 6\n2 4\n", "4 1\n2 9\n4 1\n9 2\n6 10\n7 4\n", "4 1\n3 9\n5 0\n5 1\n2 4\n0 4\n", "4 1\n2 9\n5 1\n9 1\n6 10\n1 4\n", "4 1\n2 4\n4 0\n9 0\n5 7\n4 4\n", "4 1\n2 10\n4 1\n10 1\n6 10\n1 4\n", "4 1\n2 9\n4 0\n10 1\n6 10\n1 0\n", "4 1\n3 4\n4 1\n10 0\n6 10\n1 0\n", "4 1\n2 5\n4 0\n5 1\n5 11\n6 4\n", "4 1\n2 2\n0 0\n5 1\n5 6\n4 4\n", "4 1\n2 9\n4 0\n5 1\n6 6\n5 2\n", "4 1\n4 5\n4 0\n9 2\n5 6\n4 4\n", "4 1\n2 9\n4 1\n5 0\n6 6\n2 4\n", "4 1\n1 9\n4 0\n5 1\n6 10\n8 4\n", "4 1\n2 4\n4 0\n9 1\n5 6\n4 5\n", "4 1\n0 2\n4 0\n5 1\n6 6\n2 6\n", "2 1\n2 17\n4 0\n9 1\n6 10\n7 4\n", "4 1\n2 5\n0 0\n9 0\n5 6\n4 5\n", "4 1\n3 9\n6 0\n5 1\n5 8\n0 4\n", "4 1\n2 4\n0 0\n5 1\n1 6\n2 4\n", "4 1\n2 9\n4 1\n15 1\n6 10\n5 4\n", "4 1\n3 18\n4 0\n5 1\n2 4\n0 6\n", "4 1\n2 9\n6 1\n9 1\n6 9\n1 4\n", "4 1\n2 4\n4 1\n9 0\n5 3\n4 5\n", "4 1\n2 9\n4 1\n1 1\n6 10\n2 4\n", "4 1\n0 4\n4 1\n9 0\n0 7\n4 5\n", "4 1\n1 9\n5 1\n10 1\n6 10\n1 0\n", "4 1\n4 4\n4 1\n10 1\n6 10\n0 0\n", "4 1\n2 6\n4 0\n5 1\n5 11\n7 4\n", "4 1\n2 2\n4 0\n5 0\n5 6\n4 3\n", "4 1\n3 9\n4 0\n5 0\n6 6\n4 2\n", "4 1\n2 9\n4 0\n8 0\n6 10\n4 6\n", "4 1\n2 9\n4 0\n9 0\n6 6\n2 4\n", "4 1\n0 0\n4 0\n5 1\n6 6\n2 1\n", "4 1\n2 17\n4 0\n5 1\n6 10\n7 3\n", "4 1\n2 5\n1 0\n9 0\n9 6\n5 5\n", "4 1\n3 9\n6 0\n5 2\n6 4\n0 4\n", "4 1\n0 4\n4 0\n5 1\n1 1\n2 4\n", "4 1\n2 9\n4 1\n0 1\n12 10\n5 4\n", "4 1\n2 4\n4 0\n2 0\n3 6\n4 1\n", "4 1\n3 18\n3 0\n5 1\n2 6\n0 4\n", "4 1\n1 9\n4 1\n9 1\n6 9\n2 4\n", "4 1\n2 4\n4 0\n9 0\n5 7\n3 5\n", "4 1\n2 4\n4 1\n9 0\n0 5\n4 2\n", "4 1\n2 9\n4 1\n8 1\n11 10\n4 6\n", "4 1\n4 5\n1 0\n5 1\n5 9\n4 4\n", "4 1\n2 9\n4 0\n6 0\n6 10\n2 8\n", "4 1\n0 2\n4 0\n6 1\n6 6\n1 1\n", "4 1\n2 17\n4 0\n5 2\n12 10\n7 4\n" ], "output": [ "\nLOSE\nWIN\nLOSE\nWIN\nLOSE\n", "WIN\n", "WIN\n", "LOSE\n", "LOSE\nWIN\nLOSE\nWIN\nWIN\n", "WIN\nWIN\n", "LOSE\nWIN\nWIN\nWIN\nWIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n", "LOSE\n", "WIN\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "WIN\n", "LOSE\n", "WIN\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: After your debut mobile game "Nim" blew up, you decided to make a sequel called "Nim 2". This game will expand on the trusted Nim game formula, adding the much awaited second heap! In the game, there are two heaps, each containing a non-negative number of stones. Two players make moves in turn. On their turn, a player can take any positive number of stones from either one of the heaps. A player who is unable to move loses the game. To make the game easier to playtest, you've introduced developer shortcuts. There are n shortcut positions (x_1, y_1), …, (x_n, y_n). These change the game as follows: suppose that before a player's turn the first and second heap contain x and y stones respectively. If the pair (x, y) is equal to one of the pairs (x_i, y_i), then the player about to move loses instantly, otherwise they are able to make moves as normal. Note that in the above explanation the two heaps and all pairs are ordered, that is, x must refer to the size of the first heap, and y must refer to the size of the second heap. The game release was followed by too much celebration, and next thing you know is developer shortcuts made their way to the next official update of the game! Players now complain that the AI opponent has become unbeatable at certain stages of the game. You now have to write a program to figure out which of the given initial positions can be won by the starting player, assuming both players act optimally. Input The first line contains two integers n and m (1 ≤ n, m ≤ 10^5) — the number of shortcut positions, and the number of initial positions that need to be evaluated. The following n lines describe shortcut positions. The i-th of these lines contains two integers x_i, y_i (0 ≤ x_i, y_i ≤ 10^9). It is guaranteed that all shortcut positions are distinct. The following m lines describe initial positions. The i-th of these lines contains two integers a_i, b_i (0 ≤ a_i, b_i ≤ 10^9) — the number of stones in the first and second heap respectively. It is guaranteed that all initial positions are distinct. However, initial positions are not necessarily distinct from shortcut positions. Output For each initial position, on a separate line print "WIN" if the starting player is able to win from this position, and "LOSE" otherwise. Example Input 3 5 3 0 0 1 2 2 0 0 1 1 2 2 3 3 5 4 Output LOSE WIN LOSE WIN LOSE ### Input: 3 5 3 0 0 1 2 2 0 0 1 1 2 2 3 3 5 4 ### Output: LOSE WIN LOSE WIN LOSE ### Input: 4 1 2 5 4 0 5 1 5 6 4 4 ### Output: WIN ### Code: from heapq import * from bisect import bisect_left n, m = map(int, input().split()) inf = 15 * 10 ** 8 norm = [] rev = [] slow = set() for _ in range(n):x, y = map(int, input().split());heappush(norm, (x,y));heappush(rev, (y,x));slow.add((x,y)) cx = cy = 0 skipX=[] skipY=[] for i in range(2 * n): tl = tr = inf tlp = trp = (inf, inf) if norm:tl = norm[0][0] - cx;tlp = (norm[0][0] - cx, norm[0][1] - cy) if rev:tr = rev[0][0] - cy;trp = (rev[0][0] - cy, rev[0][1] - cx) if tlp < trp: x, y = heappop(norm) if tl < 0:continue cx+=tl;cy+=tl assert x == cx if y < cy:skipX.append(x);cx += 1 else: y, x = heappop(rev) if tr < 0: continue cx+=tr;cy+=tr assert y == cy if x < cx: skipY.append(y) cy += 1 out = [] for _ in range(m): x, y = map(int, input().split()) if (x, y) in slow: out.append('LOSE'); continue csx = bisect_left(skipX, x); csy = bisect_left(skipY, y) if csx < len(skipX) and skipX[csx] == x: out.append('WIN'); continue if csy < len(skipY) and skipY[csy] == y: out.append('WIN'); continue out.append('LOSE' if x-csx==y-csy else 'WIN') print('\n'.join(map(str,out)))
1481_E. Sorting Books_34597
One day you wanted to read something, so you went to your bookshelf to grab some book. But when you saw how messy the bookshelf was you decided to clean it up first. <image> There are n books standing in a row on the shelf, the i-th book has color a_i. You'd like to rearrange the books to make the shelf look beautiful. The shelf is considered beautiful if all books of the same color are next to each other. In one operation you can take one book from any position on the shelf and move it to the right end of the shelf. What is the minimum number of operations you need to make the shelf beautiful? Input The first line contains one integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the number of books. The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n) — the book colors. Output Output the minimum number of operations to make the shelf beautiful. Examples Input 5 1 2 2 1 3 Output 2 Input 5 1 2 2 1 1 Output 1 Note In the first example, we have the bookshelf [1, 2, 2, 1, 3] and can, for example: 1. take a book on position 4 and move to the right end: we'll get [1, 2, 2, 3, 1]; 2. take a book on position 1 and move to the right end: we'll get [2, 2, 3, 1, 1]. In the second example, we can move the first book to the end of the bookshelf and get [2,2,1,1,1].
n = int(input()) a = [int(x) - 1 for x in input().split()] l = [-1 for _ in range(n + 1)] r = [-1 for _ in range(n + 1)] freq = [0 for _ in range(n + 1)] dp = [0 for _ in range(n + 1)] for i in range(n): if(l[a[i]] == -1): l[a[i]] = i r[a[i]] = i for i in range(n - 1, -1, -1): dp[i] = dp[i + 1] freq[a[i]] += 1 if (i == l[a[i]]): dp[i] = max(dp[i], dp[r[a[i]] + 1] + freq[a[i]]) else : dp[i] = max(dp[i], freq[a[i]]) print(n - dp[0])
{ "input": [ "5\n1 2 2 1 3\n", "5\n1 2 2 1 1\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 58 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n", "5\n1 2 4 1 3\n", "5\n1 2 1 1 1\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 3 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 63 9 82 47 7 58 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 66 41 21 77 63 17 62 91\n", "5\n2 2 2 1 3\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 17 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 10 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 12 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 2 4 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 10 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 10 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 12 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 11 8 2 6 3 3 10 7 10 11 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 7 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 8 3 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 11 2 6\n", "100\n1 4 5 5 10 10 5 8 5 7 4 5 4 6 11 8 2 6 3 3 10 7 10 11 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 7 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 8 3 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 3 4 4 1 5 1 6 6 6 8 8 11 2 6\n", "100\n1 4 5 5 10 10 5 8 5 7 4 5 4 6 11 8 2 6 3 3 10 7 10 11 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 7 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 8 3 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 3 4 4 1 5 1 6 6 6 8 8 11 2 11\n", "100\n1 4 5 5 10 10 5 8 5 7 4 5 4 6 11 8 2 6 3 3 10 7 10 11 3 1 8 3 10 7 7 2 9 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 8 9 7 6 2 1 6 1 8 10 4 10 3 1 10 5 5 4 8 3 5 3 7 10 2 7 4 6 3 10 1 6 5 5 4 6 3 4 4 1 5 1 6 6 6 8 3 11 2 11\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 45 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 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58 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 8 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "5\n1 2 1 2 1\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 12 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "5\n1 2 1 1 2\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "5\n2 1 2 1 3\n", "5\n1 2 1 4 1\n", "5\n1 3 1 1 2\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 9 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 10 7 2 4 5 2 4 9 5 10 1 10 9 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 4 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 10 7 2 4 5 2 4 9 5 10 1 10 9 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 10 4 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 10 4 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 10 3 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 4 4 10 3 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 6 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "5\n1 2 2 1 2\n", "5\n1 3 2 1 1\n", "100\n82 51 81 14 37 17 78 92 64 15 8 42 89 8 87 77 66 10 15 12 100 25 92 47 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 58 12 9 3 55 37 85 46 22 84 52 98 41 21 77 63 17 62 91\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 8 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 7 1 6 6 6 8 8 6 2 6\n", "100\n82 51 81 14 37 17 78 92 64 15 8 86 89 8 87 77 66 10 15 12 100 25 92 52 21 78 20 63 13 49 41 36 41 79 16 87 87 69 3 76 80 60 100 49 70 59 72 8 38 71 45 97 71 14 76 54 81 4 59 46 39 29 92 3 49 22 53 99 59 52 74 31 92 43 42 23 44 9 82 47 7 40 12 9 3 55 37 85 46 22 84 52 66 41 21 77 63 17 62 91\n", "5\n2 2 2 1 4\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 7 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 2 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 12 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "5\n1 2 1 4 2\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 7 7 2 4 5 2 4 9 5 10 1 10 9 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 15 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 8 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 11 2 6 3 3 10 7 3 8 6 2 7 3 9 10 7 2 4 5 2 4 9 5 10 1 10 9 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 10 10 4 10 3 4 10 5 5 4 10 4 5 3 5 10 2 7 3 6 9 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 4 6 5 2 4 9 5 10 1 10 5 10 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 4 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 4 10 5 5 4 10 4 5 3 7 10 2 7 3 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 9 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 1 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 10 4 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 10 8 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 6 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 4 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 5 4 10 3 5 3 7 10 2 7 4 6 3 6 1 6 5 5 4 6 6 4 4 1 5 1 6 6 6 8 8 11 2 6\n", "100\n7 4 5 5 10 10 5 8 5 7 3 5 4 6 8 8 2 6 3 3 10 7 10 8 6 1 8 3 10 7 7 2 6 5 2 4 9 5 10 1 10 5 3 4 1 3 4 2 6 9 9 9 10 6 2 5 6 1 8 10 4 10 3 1 10 5 4 4 10 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2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: One day you wanted to read something, so you went to your bookshelf to grab some book. But when you saw how messy the bookshelf was you decided to clean it up first. <image> There are n books standing in a row on the shelf, the i-th book has color a_i. You'd like to rearrange the books to make the shelf look beautiful. The shelf is considered beautiful if all books of the same color are next to each other. In one operation you can take one book from any position on the shelf and move it to the right end of the shelf. What is the minimum number of operations you need to make the shelf beautiful? Input The first line contains one integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the number of books. The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n) — the book colors. Output Output the minimum number of operations to make the shelf beautiful. Examples Input 5 1 2 2 1 3 Output 2 Input 5 1 2 2 1 1 Output 1 Note In the first example, we have the bookshelf [1, 2, 2, 1, 3] and can, for example: 1. take a book on position 4 and move to the right end: we'll get [1, 2, 2, 3, 1]; 2. take a book on position 1 and move to the right end: we'll get [2, 2, 3, 1, 1]. In the second example, we can move the first book to the end of the bookshelf and get [2,2,1,1,1]. ### Input: 5 1 2 2 1 3 ### Output: 2 ### Input: 5 1 2 2 1 1 ### Output: 1 ### Code: n = int(input()) a = [int(x) - 1 for x in input().split()] l = [-1 for _ in range(n + 1)] r = [-1 for _ in range(n + 1)] freq = [0 for _ in range(n + 1)] dp = [0 for _ in range(n + 1)] for i in range(n): if(l[a[i]] == -1): l[a[i]] = i r[a[i]] = i for i in range(n - 1, -1, -1): dp[i] = dp[i + 1] freq[a[i]] += 1 if (i == l[a[i]]): dp[i] = max(dp[i], dp[r[a[i]] + 1] + freq[a[i]]) else : dp[i] = max(dp[i], freq[a[i]]) print(n - dp[0])
181_E. Playing with Superglue_34604
Two players play a game. The game is played on a rectangular board with n × m squares. At the beginning of the game two different squares of the board have two chips. The first player's goal is to shift the chips to the same square. The second player aims to stop the first one with a tube of superglue. We'll describe the rules of the game in more detail. The players move in turns. The first player begins. With every move the first player chooses one of his unglued chips, and shifts it one square to the left, to the right, up or down. It is not allowed to move a chip beyond the board edge. At the beginning of a turn some squares of the board may be covered with a glue. The first player can move the chip to such square, in this case the chip gets tightly glued and cannot move any longer. At each move the second player selects one of the free squares (which do not contain a chip or a glue) and covers it with superglue. The glue dries long and squares covered with it remain sticky up to the end of the game. If, after some move of the first player both chips are in the same square, then the first player wins. If the first player cannot make a move (both of his chips are glued), then the second player wins. Note that the situation where the second player cannot make a move is impossible — he can always spread the glue on the square from which the first player has just moved the chip. We will further clarify the case where both chips are glued and are in the same square. In this case the first player wins as the game ends as soon as both chips are in the same square, and the condition of the loss (the inability to move) does not arise. You know the board sizes and the positions of the two chips on it. At the beginning of the game all board squares are glue-free. Find out who wins if the players play optimally. Input The first line contains six integers n, m, x1, y1, x2, y2 — the board sizes and the coordinates of the first and second chips, correspondingly (1 ≤ n, m ≤ 100; 2 ≤ n × m; 1 ≤ x1, x2 ≤ n; 1 ≤ y1, y2 ≤ m). The numbers in the line are separated by single spaces. It is guaranteed that the chips are located in different squares. Output If the first player wins, print "First" without the quotes. Otherwise, print "Second" without the quotes. Examples Input 1 6 1 2 1 6 Output First Input 6 5 4 3 2 1 Output First Input 10 10 1 1 10 10 Output Second
n,m,x1,y1,x2,y2 = map(int, input().split()) n = abs(x1 - x2) m = abs(y1 - y2) if n > 4 or m > 4: print("Second") elif n <= 3 and m <= 3: print("First") elif min(n, m) <= 2: print("First") else: print("Second")
{ "input": [ "6 5 4 3 2 1\n", "1 6 1 2 1 6\n", "10 10 1 1 10 10\n", "21 68 2 13 6 57\n", "8 33 2 21 8 23\n", "25 68 3 39 20 41\n", "89 81 33 18 28 19\n", "10 10 6 1 1 1\n", "10 10 7 7 3 4\n", "11 97 2 29 1 76\n", "63 22 54 16 58 19\n", "23 90 6 31 9 88\n", "50 50 1 1 5 4\n", "63 54 19 22 23 23\n", "71 85 10 14 13 20\n", "36 76 36 49 33 51\n", "48 86 31 36 23 36\n", "40 43 40 9 38 28\n", "18 18 11 12 13 16\n", "14 96 3 80 1 86\n", "41 64 10 21 29 50\n", "87 15 56 8 59 12\n", "95 28 50 12 50 13\n", "100 100 1 1 100 100\n", "100 100 1 1 5 4\n", "5 5 1 1 5 4\n", "24 65 23 18 3 64\n", "34 55 7 25 8 30\n", "80 97 70 13 68 13\n", "10 10 1 1 1 6\n", "6 2 6 1 1 2\n", "10 10 3 4 3 5\n", "50 50 1 1 5 2\n", "64 96 4 2 4 80\n", "6 6 1 1 1 6\n", "100 100 1 1 5 1\n", "99 100 24 1 24 100\n", "15 48 6 42 10 48\n", "10 10 1 1 6 2\n", "20 77 5 49 3 52\n", "100 100 1 1 4 5\n", "73 27 40 8 45 13\n", "28 17 20 10 27 2\n", "5 5 1 1 5 3\n", "6 6 1 1 6 1\n", "30 1 10 1 20 1\n", "5 4 1 4 5 1\n", "47 91 36 61 32 63\n", "24 97 21 54 19 55\n", "48 53 24 37 21 42\n", "96 75 15 10 6 65\n", "31 80 28 70 24 75\n", "37 100 33 13 32 30\n", "40 100 4 1 30 100\n", "100 100 1 1 2 6\n", "4 5 1 1 4 5\n", "5 5 1 5 4 1\n", "41 34 27 7 20 8\n", "64 91 52 64 49 67\n", "33 13 12 1 12 6\n", "89 100 54 1 55 100\n", "51 8 24 3 19 7\n", "1 2 1 1 1 2\n", "5 5 1 1 4 5\n", "13 25 4 2 7 3\n", "50 50 1 1 4 5\n", "30 47 9 32 3 35\n", "21 18 16 6 15 17\n", "100 94 1 30 100 30\n", "13 62 10 13 5 15\n", "51 76 50 5 45 76\n", "39 46 21 22 30 35\n", "35 19 4 8 9 11\n", "73 79 17 42 10 67\n", "48 11 33 8 24 8\n", "30 85 9 45 8 49\n", "24 68 19 14 18 15\n", "24 32 6 2 7 4\n", "28 14 21 2 20 5\n", "89 51 76 1 25 51\n", "57 17 12 7 12 10\n", "100 100 1 1 3 5\n", "5 5 1 1 3 5\n", "44 99 10 5 8 92\n", "87 13 77 7 70 7\n", "100 32 71 12 71 22\n", "73 64 63 32 68 32\n", "10 5 10 1 4 5\n", "76 7 24 4 26 6\n", "5 4 1 1 5 4\n", "34 39 18 1 17 7\n", "18 72 2 71 3 71\n", "77 99 56 1 3 99\n", "60 100 28 80 26 85\n", "4 4 1 4 4 1\n", "10 10 1 1 5 3\n", "25 32 17 18 20 19\n", "47 95 27 70 23 70\n", "49 34 38 19 38 25\n", "100 100 10 10 13 14\n", "10 10 1 1 4 5\n", "57 85 29 40 29 69\n", "16 97 7 4 15 94\n", "3 5 1 1 3 5\n", "84 43 71 6 77 26\n", "61 39 14 30 14 37\n", "45 62 28 48 28 50\n", "10 10 1 1 3 5\n", "10 10 1 1 5 4\n", "96 54 9 30 9 47\n", "73 88 30 58 30 62\n", "73 95 58 11 11 24\n", "28 7 17 5 11 6\n", "5 5 1 1 5 5\n", "15 11 12 5 8 9\n", "97 94 96 2 7 93\n", "52 70 26 65 23 65\n", "74 88 33 20 39 20\n", "7 41 3 5 3 6\n", "21 68 2 13 10 57\n", "50 50 1 2 5 4\n", "8 33 2 22 8 23\n", "25 68 2 39 20 41\n", "128 81 33 18 28 19\n", "10 10 6 0 1 1\n", "16 10 7 7 3 4\n", "11 97 2 29 1 120\n", "63 22 5 16 58 19\n", "23 90 6 31 15 88\n", "63 54 4 22 23 23\n", "71 85 10 15 13 20\n", "36 76 36 54 33 51\n", "48 86 31 43 23 36\n", "40 36 40 9 38 28\n", "18 18 11 12 13 12\n", "14 96 3 80 1 81\n", "41 64 10 18 29 50\n", "112 15 56 8 59 12\n", "95 28 25 12 50 13\n", "110 100 1 1 100 100\n", "101 100 1 1 5 4\n", "5 0 1 1 5 4\n", "24 65 23 18 2 64\n", "34 55 7 8 8 30\n", "2 10 1 1 1 6\n", "6 3 6 1 1 2\n", "10 10 3 8 3 5\n", "32 50 1 1 5 2\n", "56 96 4 2 4 80\n", "6 0 1 1 1 6\n", "99 100 24 1 24 000\n", "15 48 6 42 8 48\n", "10 10 1 1 6 0\n", "20 77 5 93 3 52\n", "101 100 1 1 4 5\n", "73 27 40 3 45 13\n", "28 17 9 10 27 2\n", "5 5 1 2 5 3\n", "4 6 1 1 6 1\n", "55 1 10 1 20 1\n", "5 4 1 4 10 1\n", "47 91 36 61 5 63\n", "24 97 21 54 0 55\n", "48 64 24 37 21 42\n", "96 75 15 10 6 126\n", "31 82 28 70 24 75\n", "37 100 33 13 35 30\n", "59 100 4 1 30 100\n", "100 100 1 0 2 6\n", "4 5 1 2 4 5\n", "5 5 2 5 4 1\n", "3 34 27 7 20 8\n", "64 91 52 1 49 67\n", "52 13 12 1 12 6\n", "89 100 64 1 55 100\n" ], "output": [ "First\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "First\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "First\n", "First\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "First\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "First\n", "First\n", "First\n", "Second\n", "First\n", "First\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "First\n", "First\n", "First\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "First\n", "First\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "First\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "First\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "First\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "Second\n", "First\n", "First\n", "Second\n", "Second\n", "Second\n", "Second\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Two players play a game. The game is played on a rectangular board with n × m squares. At the beginning of the game two different squares of the board have two chips. The first player's goal is to shift the chips to the same square. The second player aims to stop the first one with a tube of superglue. We'll describe the rules of the game in more detail. The players move in turns. The first player begins. With every move the first player chooses one of his unglued chips, and shifts it one square to the left, to the right, up or down. It is not allowed to move a chip beyond the board edge. At the beginning of a turn some squares of the board may be covered with a glue. The first player can move the chip to such square, in this case the chip gets tightly glued and cannot move any longer. At each move the second player selects one of the free squares (which do not contain a chip or a glue) and covers it with superglue. The glue dries long and squares covered with it remain sticky up to the end of the game. If, after some move of the first player both chips are in the same square, then the first player wins. If the first player cannot make a move (both of his chips are glued), then the second player wins. Note that the situation where the second player cannot make a move is impossible — he can always spread the glue on the square from which the first player has just moved the chip. We will further clarify the case where both chips are glued and are in the same square. In this case the first player wins as the game ends as soon as both chips are in the same square, and the condition of the loss (the inability to move) does not arise. You know the board sizes and the positions of the two chips on it. At the beginning of the game all board squares are glue-free. Find out who wins if the players play optimally. Input The first line contains six integers n, m, x1, y1, x2, y2 — the board sizes and the coordinates of the first and second chips, correspondingly (1 ≤ n, m ≤ 100; 2 ≤ n × m; 1 ≤ x1, x2 ≤ n; 1 ≤ y1, y2 ≤ m). The numbers in the line are separated by single spaces. It is guaranteed that the chips are located in different squares. Output If the first player wins, print "First" without the quotes. Otherwise, print "Second" without the quotes. Examples Input 1 6 1 2 1 6 Output First Input 6 5 4 3 2 1 Output First Input 10 10 1 1 10 10 Output Second ### Input: 6 5 4 3 2 1 ### Output: First ### Input: 1 6 1 2 1 6 ### Output: First ### Code: n,m,x1,y1,x2,y2 = map(int, input().split()) n = abs(x1 - x2) m = abs(y1 - y2) if n > 4 or m > 4: print("Second") elif n <= 3 and m <= 3: print("First") elif min(n, m) <= 2: print("First") else: print("Second")
205_B. Little Elephant and Sorting_34608
The Little Elephant loves sortings. He has an array a consisting of n integers. Let's number the array elements from 1 to n, then the i-th element will be denoted as ai. The Little Elephant can make one move to choose an arbitrary pair of integers l and r (1 ≤ l ≤ r ≤ n) and increase ai by 1 for all i such that l ≤ i ≤ r. Help the Little Elephant find the minimum number of moves he needs to convert array a to an arbitrary array sorted in the non-decreasing order. Array a, consisting of n elements, is sorted in the non-decreasing order if for any i (1 ≤ i < n) ai ≤ ai + 1 holds. Input The first line contains a single integer n (1 ≤ n ≤ 105) — the size of array a. The next line contains n integers, separated by single spaces — array a (1 ≤ ai ≤ 109). The array elements are listed in the line in the order of their index's increasing. Output In a single line print a single integer — the answer to the problem. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 3 1 2 3 Output 0 Input 3 3 2 1 Output 2 Input 4 7 4 1 47 Output 6 Note In the first sample the array is already sorted in the non-decreasing order, so the answer is 0. In the second sample you need to perform two operations: first increase numbers from second to third (after that the array will be: [3, 3, 2]), and second increase only the last element (the array will be: [3, 3, 3]). In the third sample you should make at least 6 steps. The possible sequence of the operations is: (2; 3), (2; 3), (2; 3), (3; 3), (3; 3), (3; 3). After that the array converts to [7, 7, 7, 47].
def solve(arr, n): inc = 0 ans = 0 for i in range(1, n): arr[i] += inc if arr[i] >= arr[i - 1]: continue diff = arr[i - 1] - arr[i] ans += diff inc += diff arr[i] += diff # print(arr) # print(ans) return ans def read(): n = int(input()) arr = list(map(int, input().strip().split())) ans = solve(arr, n) print(ans) read()
{ "input": [ "3\n3 2 1\n", "4\n7 4 1 47\n", "3\n1 2 3\n", "3\n39740000 928596641 251625421\n", "47\n479793446 951468508 89486286 338446715 32648506 624498057 608503040 669251062 922459299 753303599 15471514 633954104 726178809 25774434 239818174 886000554 86565563 340322990 233160987 244152140 400122002 267331289 113220645 554372347 628491411 141545764 72472415 172718507 818323067 524691081 273905810 540908460 264978418 971408123 336064021 681508839 387880395 446312618 486187013 687624992 335098176 259987774 832741771 604233011 459307319 378796313 520655387\n", "7\n47 47 47 47 47 47 48\n", "74\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n940259367\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 4 3 6 1 3 9 8 2 3 5 3 10 7 7 5 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "10\n1 2 3 4 5 6 7 8 9 1000000000\n", "10\n1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1\n", "47\n3 999999997 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 6 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 5 999999997 3 999999991 2 999999997 4 999999992 8 999999994 10 999999992 2 999999995 2 999999990 2\n", "2\n710095427 879909817\n", "47\n703599938 780784195 912005704 957182560 961181825 964876912 996677776 997012583 999004240 999888999 999980718 999997556 999997940 999999989 999999991 999999991 999999999 999999999 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000\n", "3\n71140964 928596641 251625421\n", "7\n73 47 47 47 47 47 48\n", "74\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n741983921\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 4 3 6 1 3 9 8 3 3 5 3 10 7 7 5 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "10\n1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 2\n", "47\n3 37508345 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 6 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 5 999999997 3 999999991 2 999999997 4 999999992 8 999999994 10 999999992 2 999999995 2 999999990 2\n", "2\n710095427 250668475\n", "3\n3 1 1\n", "4\n7 4 2 47\n", "3\n71140964 971844983 251625421\n", "7\n73 24 47 47 47 47 48\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 4 3 6 1 3 9 12 3 3 5 3 10 7 7 5 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "10\n1 2 3 4 5 6 9 15 9 1000000000\n", "10\n1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 0\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 6 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 5 999999997 3 999999991 2 999999997 4 999999992 8 999999994 10 999999992 2 999999995 2 999999990 2\n", "2\n439402615 250668475\n", "3\n3 0 1\n", "7\n144 24 47 47 47 47 48\n", "10\n1 0 3 4 5 6 9 15 9 1000000000\n", "10\n1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000100 0\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 6 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 999999997 3 999999991 2 999999997 4 999999992 8 999999994 10 999999992 2 999999995 2 999999990 2\n", "2\n286132682 250668475\n", "7\n144 24 47 60 47 47 48\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 4 3 6 1 3 9 12 3 3 6 3 10 7 7 4 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "10\n1 0 3 4 2 6 9 15 9 1000000000\n", "10\n1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000100 -1\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 6 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 999999997 3 999999991 2 999999997 4 999999992 8 744168813 10 999999992 2 999999995 2 999999990 2\n", "2\n530621006 250668475\n", "7\n144 32 47 60 47 47 48\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 4 3 6 1 3 9 14 3 3 6 3 10 7 7 4 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "10\n2 0 3 4 2 6 9 15 9 1000000000\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 8 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 999999997 3 999999991 2 999999997 4 999999992 8 744168813 10 999999992 2 999999995 2 999999990 2\n", "2\n692309356 250668475\n", "7\n144 32 47 49 47 47 48\n", "7\n144 32 19 49 47 47 48\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 8 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 999999997 3 999999991 0 999999997 4 999999992 8 189600234 10 999999992 2 999999995 2 999999990 2\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 8 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 543654351 3 999999991 0 999999997 4 999999992 8 189600234 10 999999992 2 999999995 2 999999990 2\n", "7\n144 53 19 49 47 64 48\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 1 3 6 1 3 9 14 3 3 6 3 10 7 7 4 1 8 1 5 7 2 7 6 3 1 9 7 7 4 10 5\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 8 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 543654351 3 999999991 0 999999997 4 999999992 8 189600234 10 999999992 2 999999995 3 999999990 2\n", "7\n221 53 19 49 47 64 48\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 1 3 11 1 3 9 14 3 3 6 3 10 7 7 4 1 8 1 5 7 2 7 6 3 1 9 7 7 4 10 5\n", "7\n221 53 19 49 47 104 48\n", "10\n1 2 3 4 5 6 9 8 9 1000000000\n", "3\n0 2 3\n", "74\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n1260445784\n", "4\n7 4 1 85\n", "3\n1 0 3\n", "74\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n933379089\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 4 3 6 1 3 9 12 3 3 5 3 10 7 7 4 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "3\n3 0 2\n", "4\n7 4 1 160\n", "3\n0 0 3\n", "1\n149172321\n", "3\n1 0 2\n", "4\n7 4 0 160\n", "3\n0 -1 3\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n186734140\n", "3\n1 -1 2\n", "4\n7 4 0 205\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n291925011\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 1 3 6 1 3 9 14 3 3 6 3 10 7 7 4 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 3\n", "10\n2 0 3 4 2 6 9 15 10 1000000000\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 8 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 1 999999990 7 1000000000 3 999999994 10 999999997 3 999999991 0 999999997 4 999999992 8 744168813 10 999999992 2 999999995 2 999999990 2\n", "3\n1 -2 2\n", "4\n7 3 0 205\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "1\n519329982\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 1 3 6 1 3 9 14 3 3 6 3 10 7 7 4 2 8 1 5 7 2 7 6 2 1 9 7 7 4 10 5\n", "10\n2 0 3 4 2 6 9 15 10 1010000000\n", "3\n0 -2 2\n", "4\n7 0 0 205\n", "7\n144 53 19 49 47 47 48\n", "1\n736246185\n", "47\n7 9 9 3 7 3 6 8 3 6 6 2 6 4 2 2 1 3 6 1 3 9 14 3 3 6 3 10 7 7 4 2 8 1 5 7 2 7 6 3 1 9 7 7 4 10 5\n", "10\n2 0 3 4 2 6 9 15 19 1010000000\n", "3\n1 -3 2\n", "4\n7 0 -1 205\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 1\n", "1\n135645637\n", "10\n2 0 3 4 2 6 9 15 19 1010001000\n", "3\n2 -3 2\n", "4\n7 0 -2 205\n", "74\n1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 -1 1 2 1 1 1 1 1 1 1 1 1\n", "1\n102207740\n", "10\n2 0 3 4 3 6 9 15 19 1010001000\n", "47\n3 19227255 5 999999991 9 999999996 1 999999991 6 999999996 4 999999998 8 999999994 4 999999994 7 999999990 1 999999993 6 999999997 4 999999996 0 999999990 7 1000000000 3 999999994 10 543654351 3 999999991 0 999999997 4 999999992 8 189600234 10 999999992 2 999999995 3 999999990 2\n", "3\n2 -3 3\n", "4\n7 0 -2 71\n" ], "output": [ "2\n", "6\n", "0\n", "676971220\n", "7171587476\n", "0\n", "0\n", "0\n", "76\n", "0\n", "4999999995\n", "22999999763\n", "0\n", "0\n", "676971220\n", "26\n", "1\n", "0\n", "75\n", "4999999994\n", "22037508111\n", "459426952\n", "2\n", "5\n", "720219562\n", "49\n", "78\n", "6\n", "4999999996\n", "22019227021\n", "188734140\n", "3\n", "120\n", "7\n", "5000000096\n", "22019227016\n", "35464207\n", "133\n", "4\n", "79\n", "9\n", "5000000097\n", "21763395835\n", "279952531\n", "125\n", "81\n", "10\n", "21763395833\n", "441640881\n", "114\n", "127\n", "21208827256\n", "8\n", "20752481610\n", "143\n", "80\n", "20752481609\n", "220\n", "85\n", "260\n", "1\n", "0\n", "2\n", "0\n", "6\n", "1\n", "3\n", "0\n", "78\n", "3\n", "6\n", "0\n", "0\n", "1\n", "7\n", "1\n", "5\n", "0\n", "2\n", "7\n", "6\n", "0\n", "81\n", "9\n", "21763395835\n", "3\n", "7\n", "7\n", "0\n", "79\n", "9\n", "2\n", "7\n", "127\n", "0\n", "79\n", "4\n", "4\n", "8\n", "9\n", "0\n", "4\n", "5\n", "9\n", "10\n", "0\n", "3\n", "20752481610\n", "5\n", "9\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: The Little Elephant loves sortings. He has an array a consisting of n integers. Let's number the array elements from 1 to n, then the i-th element will be denoted as ai. The Little Elephant can make one move to choose an arbitrary pair of integers l and r (1 ≤ l ≤ r ≤ n) and increase ai by 1 for all i such that l ≤ i ≤ r. Help the Little Elephant find the minimum number of moves he needs to convert array a to an arbitrary array sorted in the non-decreasing order. Array a, consisting of n elements, is sorted in the non-decreasing order if for any i (1 ≤ i < n) ai ≤ ai + 1 holds. Input The first line contains a single integer n (1 ≤ n ≤ 105) — the size of array a. The next line contains n integers, separated by single spaces — array a (1 ≤ ai ≤ 109). The array elements are listed in the line in the order of their index's increasing. Output In a single line print a single integer — the answer to the problem. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 3 1 2 3 Output 0 Input 3 3 2 1 Output 2 Input 4 7 4 1 47 Output 6 Note In the first sample the array is already sorted in the non-decreasing order, so the answer is 0. In the second sample you need to perform two operations: first increase numbers from second to third (after that the array will be: [3, 3, 2]), and second increase only the last element (the array will be: [3, 3, 3]). In the third sample you should make at least 6 steps. The possible sequence of the operations is: (2; 3), (2; 3), (2; 3), (3; 3), (3; 3), (3; 3). After that the array converts to [7, 7, 7, 47]. ### Input: 3 3 2 1 ### Output: 2 ### Input: 4 7 4 1 47 ### Output: 6 ### Code: def solve(arr, n): inc = 0 ans = 0 for i in range(1, n): arr[i] += inc if arr[i] >= arr[i - 1]: continue diff = arr[i - 1] - arr[i] ans += diff inc += diff arr[i] += diff # print(arr) # print(ans) return ans def read(): n = int(input()) arr = list(map(int, input().strip().split())) ans = solve(arr, n) print(ans) read()
22_A. Second Order Statistics_34612
Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2
n=int(input()) ar=[int(i) for i in input().split()] ar=list(set(sorted(ar))) ar.sort() try: print(ar[1]) except IndexError: print("NO")
{ "input": [ "4\n1 2 2 -4\n", "5\n1 2 3 1 1\n", "8\n93 77 -92 26 21 -48 53 91\n", "3\n1 2 3\n", "3\n3 2 1\n", "100\n34 32 88 20 76 53 -71 -39 -98 -10 57 37 63 -3 -54 -64 -78 -82 73 20 -30 -4 22 75 51 -64 -91 29 -52 -48 83 19 18 -47 46 57 -44 95 89 89 -30 84 -83 67 58 -99 -90 -53 92 -60 -5 -56 -61 27 68 -48 52 -95 64 -48 -30 -67 66 89 14 -33 -31 -91 39 7 -94 -54 92 -96 -99 -83 -16 91 -28 -66 81 44 14 -85 -21 18 40 16 -13 -82 -33 47 -10 -40 -19 10 25 60 -34 -89\n", "3\n1 3 2\n", "39\n-97 -93 -42 -93 -97 -93 56 -97 -97 -97 76 -33 -60 91 7 82 17 47 -97 -97 -93 73 -97 12 -97 -97 -97 -97 56 -92 -83 -93 -93 49 -93 -97 -97 -17 -93\n", "49\n-74 -100 -80 23 -8 -83 -41 -20 48 17 46 -73 -55 67 85 4 40 -60 -69 -75 56 -74 -42 93 74 -95 64 -46 97 -47 55 0 -78 -34 -31 40 -63 -49 -76 48 21 -1 -49 -29 -98 -11 76 26 94\n", "10\n40 71 -85 -85 40 -85 -85 64 -85 47\n", "3\n-2 -2 -2\n", "100\n-99 -98 -64 89 53 57 -99 29 -78 18 -3 -54 76 -98 -99 -98 37 -98 19 -47 89 73 -98 -91 -99 -99 -98 -48 -99 22 -99 -98 -99 -99 -98 -60 84 67 -99 -98 20 -98 88 -98 46 -98 -99 -98 -99 -71 -99 -98 -98 -39 83 95 -98 63 -98 -99 32 -98 -99 -64 57 -30 -53 -83 -4 -99 58 20 -98 -10 -99 -44 -99 -99 -99 -99 75 34 -98 -52 -98 -30 -98 -99 -98 -98 51 -99 -99 -99 -98 -99 -99 -82 -90 92\n", "88\n63 48 1 -53 -89 -49 64 -70 -49 71 -17 -16 76 81 -26 -50 67 -59 -56 97 2 100 14 18 -91 -80 42 92 -25 -88 59 8 -56 38 48 -71 -78 24 -14 48 -1 69 73 -76 54 16 -92 44 47 33 -34 -17 -81 21 -59 -61 53 26 10 -76 67 35 -29 70 65 -13 -29 81 80 32 74 -6 34 46 57 1 -45 -55 69 79 -58 11 -2 22 -18 -16 -89 -46\n", "99\n10 -84 -100 -100 73 -64 -100 -94 33 -100 -100 -100 -100 71 64 24 7 -100 -32 -100 -100 77 -100 62 -12 55 45 -100 -100 -80 -100 -100 -100 -100 -100 -100 -100 -100 -100 -39 -48 -100 -34 47 -100 -100 -100 -100 -100 -77 -100 -100 -100 -100 -100 -100 -52 40 -55 -100 -44 -100 72 33 70 -100 -100 -78 -100 -3 100 -77 22 -100 95 -30 -100 10 -69 -100 -100 -100 -100 52 -39 -100 -100 -100 7 -100 -98 -66 95 -17 -100 52 -100 68 -100\n", 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8\n", "3\n1 3 4\n", "100\n-99 -98 -64 89 53 57 -99 29 -78 18 -3 -54 76 -98 -99 -98 37 -98 19 -47 89 73 -98 -91 -99 -99 -98 -48 -99 22 -99 -98 -99 -99 -98 -60 84 67 -99 -98 20 -98 88 -98 46 -98 -99 -98 -99 -71 -99 -98 -98 -39 83 95 -98 63 -98 -99 32 -98 -99 -64 57 -30 -53 -33 -4 -99 58 20 -98 -10 -99 -44 -99 -99 -99 -99 75 34 -98 -52 -98 -30 -98 -99 -98 -98 51 -99 -99 -99 -98 -99 -99 -82 -90 92\n", "99\n10 -84 -100 -100 73 -64 -100 -94 33 -100 -100 -100 -100 71 64 24 7 -100 -32 -100 -100 77 -100 62 -12 55 45 -100 -100 -80 -100 -100 -100 -100 -100 -100 -100 -100 -100 -39 -48 -100 -34 47 -100 -100 -100 -100 -100 -77 -100 -100 -100 -100 -100 -100 -52 40 -55 -100 -44 -100 72 33 70 -100 -100 -78 -100 -3 100 -77 22 -100 95 -30 -100 10 -69 -100 -100 -100 -39 52 -39 -100 -100 -100 7 -100 -98 -66 95 -17 -100 52 -100 68 -100\n", "3\n2 1 1\n", "3\n4 2 1\n", "3\n3 1 3\n", "89\n-98 40 16 -87 -98 63 -100 55 -96 -98 -21 -100 -93 26 -98 -98 -100 -89 -98 -5 -65 -28 -100 -6 -66 67 -100 -98 -98 10 -98 -98 -70 7 -98 2 -88 -100 -98 25 -100 -100 -98 23 -68 -100 -98 3 98 -100 -98 -98 -98 -98 -24 -100 -100 -9 -98 35 -100 99 -5 -98 -100 -100 37 -100 -84 57 -98 40 -47 -100 -1 -92 -76 -98 -98 -100 -100 -100 -63 30 21 -100 -100 -100 -12\n", "4\n1 2 2 -6\n", "5\n1 4 3 1 1\n", "8\n63 77 -92 26 21 -48 53 91\n", "3\n2 3 3\n", "3\n2 2 0\n", "100\n34 32 88 10 76 53 -71 -39 -98 -10 57 37 63 -3 -54 -64 -78 -82 73 20 -30 -4 22 75 51 -64 -91 29 -52 -48 83 19 18 -47 46 57 -44 95 89 89 -30 84 -83 67 58 -99 -90 -53 92 -60 -5 -56 -61 27 68 -48 52 -95 64 -48 -30 -67 66 89 14 -33 -31 -91 39 7 -94 -54 92 -96 -99 -83 -16 106 -28 -66 81 44 14 -85 -21 18 40 16 -13 -82 -33 47 -10 -40 -19 10 25 60 -34 -89\n", "100\n-99 -98 -64 89 53 57 -99 29 -78 18 -3 -54 76 -98 -99 -98 37 -98 19 -47 89 73 -98 -91 -99 -99 -98 -48 -99 22 -99 -98 -99 -99 -98 -60 84 67 -99 -98 20 -98 88 -98 46 -98 -99 -98 -99 -71 -99 -98 -98 -39 71 95 -98 63 -98 -99 32 -98 -99 -64 57 -30 -53 -33 -4 -99 58 20 -98 -10 -99 -44 -99 -99 -99 -99 75 34 -98 -52 -98 -30 -98 -99 -98 -98 51 -99 -99 -99 -98 -99 -99 -82 -90 92\n", "88\n63 48 1 -53 -89 -49 64 -70 -49 71 -17 -16 76 81 -26 -50 67 -59 -56 97 2 100 14 18 -91 -80 42 92 -25 -88 59 8 -56 38 13 -71 -78 24 -14 48 -1 69 73 -76 59 16 -92 44 47 33 -34 -17 -81 21 -59 -61 53 26 10 -76 67 35 -29 70 65 -13 -29 81 80 32 74 -6 34 46 57 1 -45 -55 69 79 -58 11 -2 22 -18 -16 -89 -46\n", "99\n10 -84 -100 -100 73 -64 -100 -94 33 -100 -100 -100 -100 71 64 24 7 -100 -53 -100 -100 77 -100 62 -12 55 45 -100 -100 -80 -100 -100 -100 -100 -100 -100 -100 -100 -100 -39 -48 -100 -34 47 -100 -100 -100 -100 -100 -77 -100 -100 -100 -100 -100 -100 -52 40 -55 -100 -44 -100 72 33 70 -100 -100 -78 -100 -3 100 -77 22 -100 95 -30 -100 10 -69 -100 -100 -100 -39 52 -39 -100 -100 -100 7 -100 -98 -66 95 -17 -100 52 -100 68 -100\n", "3\n3 2 0\n", "20\n-72 -9 -86 80 7 -3 40 -27 -94 92 93 56 28 -19 79 36 -3 -73 -63 -49\n", "3\n4 2 0\n", "3\n1 1 3\n", "1\n1\n", "2\n-51 12\n", "4\n2 2 2 -6\n", "5\n1 4 3 1 2\n", "8\n63 77 -92 26 3 -48 53 91\n", "3\n2 4 3\n", "3\n4 2 2\n", "100\n34 32 88 10 76 53 -71 -39 -98 -10 57 37 63 -3 -54 -64 -78 -82 73 20 -30 -4 22 75 51 -64 -91 29 -52 -48 83 19 18 -47 46 57 -44 95 89 89 -30 84 -83 67 58 -99 -90 -53 92 -60 -5 -56 -61 27 40 -48 52 -95 64 -48 -30 -67 66 89 14 -33 -31 -91 39 7 -94 -54 92 -96 -99 -83 -16 106 -28 -66 81 44 14 -85 -21 18 40 16 -13 -82 -33 47 -10 -40 -19 10 25 60 -34 -89\n", "3\n0 5 4\n", "3\n-4 -4 -2\n", "100\n-99 -98 -64 89 53 57 -99 29 -78 18 -3 -54 76 -98 -99 -98 37 -98 19 -47 89 73 -98 -91 -99 -99 -98 -48 -99 22 -99 -98 -99 -99 -98 -60 84 67 -99 -98 20 -98 88 -98 46 -98 -99 -98 -99 -71 -99 -98 -98 -39 71 95 -98 63 -98 -99 32 -98 -99 -64 57 -30 -53 -33 -4 -99 58 20 -98 -10 -99 -44 -99 -99 -99 -99 75 34 -98 -52 -98 -30 -98 -99 -10 -98 51 -99 -99 -99 -98 -99 -99 -82 -90 92\n", "88\n63 48 1 -53 -89 -49 64 -70 -49 71 -17 -16 76 81 -26 -50 67 -59 -56 97 2 100 14 18 -91 -80 42 92 -25 -88 59 8 -56 38 13 -71 -78 24 -14 48 -1 69 73 -76 59 16 -92 44 47 33 -34 -17 -81 21 -59 -61 53 26 10 -76 67 35 -29 70 65 -13 -29 81 80 32 74 -6 34 46 57 1 -45 -55 69 79 -58 2 -2 22 -18 -16 -89 -46\n", "3\n3 3 0\n", "3\n7 2 0\n", "3\n1 0 3\n", "9\n99 59 63 99 100 101 100 100 100\n", "1\n2\n", "4\n3 2 2 -6\n", "5\n1 4 2 1 2\n", "3\n3 4 3\n", "3\n4 4 1\n", "100\n34 32 88 10 76 53 -71 -39 -98 -10 57 37 63 -3 -54 -64 -78 -82 73 20 -30 -4 22 75 51 -64 -91 29 -52 -48 83 19 18 -47 46 57 -44 95 89 89 -30 84 -83 67 58 -99 -90 -53 92 -60 -5 -56 -61 27 40 -48 52 -95 64 -48 -30 -67 66 89 14 -33 -31 -91 39 7 -94 -54 92 -96 -99 -83 -16 106 -28 -66 81 44 14 -85 -21 18 40 16 -13 -82 -33 47 -10 -40 -19 10 25 60 -47 -89\n", "3\n-1 5 4\n", "88\n63 48 1 -53 -89 -49 64 -70 -49 71 -17 -16 76 81 -26 -50 67 -59 -56 21 2 100 14 18 -91 -80 42 92 -25 -88 59 8 -56 38 13 -71 -78 24 -14 48 -1 69 73 -76 59 16 -92 44 47 33 -34 -17 -81 21 -59 -61 53 26 10 -76 67 35 -29 70 65 -13 -29 81 80 32 74 -6 34 46 57 1 -45 -55 69 79 -58 2 -2 22 -18 -16 -89 -46\n", "3\n3 3 -1\n", "3\n7 2 1\n", "3\n1 0 6\n", "9\n99 19 63 99 100 101 100 100 100\n", "1\n-1\n", "2\n-82 11\n", "4\n4 2 2 -6\n", "5\n1 4 2 0 2\n", "8\n63 77 -92 26 2 -72 53 91\n", "3\n3 4 6\n", "3\n4 6 1\n", "100\n34 32 88 10 76 53 -71 -39 -98 -10 57 37 63 -3 -54 -64 -78 -82 73 20 -30 -4 22 75 51 -64 -91 29 -52 -48 94 19 18 -47 46 57 -44 95 89 89 -30 84 -83 67 58 -99 -90 -53 92 -60 -5 -56 -61 27 40 -48 52 -95 64 -48 -30 -67 66 89 14 -33 -31 -91 39 7 -94 -54 92 -96 -99 -83 -16 106 -28 -66 81 44 14 -85 -21 18 40 16 -13 -82 -33 47 -10 -40 -19 10 25 60 -47 -89\n", "3\n-3 -4 -1\n", "88\n63 48 1 -53 -89 -49 64 -70 -49 71 -17 -16 76 81 -26 -50 67 -59 -56 21 2 100 14 18 -91 -80 42 92 -25 -88 59 8 -56 38 13 -71 -78 24 -14 48 -1 69 73 -76 59 16 -92 44 47 33 -34 -17 -81 21 -59 -61 53 26 10 -76 67 35 -29 70 65 -13 -29 81 80 32 74 -6 34 46 34 1 -45 -55 69 79 -58 2 -2 22 -18 -16 -89 -46\n", "3\n3 0 0\n", "20\n-72 -9 -85 80 7 -3 40 -30 -94 92 93 56 28 -19 79 36 -3 -73 -63 -92\n", "5\n-84 -61 -100 -100 -28\n", "3\n9 2 1\n", "3\n1 -1 6\n", "9\n99 19 63 99 100 100 100 100 100\n", "1\n-2\n", "4\n4 3 2 -6\n", "5\n1 4 2 0 1\n", "8\n63 77 -92 22 2 -72 53 91\n", "3\n1 4 6\n", "3\n4 6 2\n", "100\n34 32 88 10 76 53 -71 -39 -98 -10 57 37 63 -3 -54 -64 -78 -82 48 20 -30 -4 22 75 51 -64 -91 29 -52 -48 94 19 18 -47 46 57 -44 95 89 89 -30 84 -83 67 58 -99 -90 -53 92 -60 -5 -56 -61 27 40 -48 52 -95 64 -48 -30 -67 66 89 14 -33 -31 -91 39 7 -94 -54 92 -96 -99 -83 -16 106 -28 -66 81 44 14 -85 -21 18 40 16 -13 -82 -33 47 -10 -40 -19 10 25 60 -47 -89\n" ], "output": [ "1\n", "2\n", "-48\n", "2\n", "2\n", "-98\n", "2\n", "-93\n", "-98\n", "40\n", "NO\n", "-98\n", "-91\n", "-98\n", "-80\n", "2\n", "-92\n", "-86\n", "NO\n", "NO\n", "2\n", "2\n", "100\n", "100\n", "-86\n", "NO\n", "NO\n", "-98\n", "-64\n", "-95\n", "12\n", "-48\n", "3\n", "2\n", "-98\n", "40\n", "-2\n", "-91\n", "-86\n", "-33\n", "1\n", "99\n", "NO\n", "-95\n", "12\n", "4\n", "38\n", "-3\n", "-28\n", "63\n", "-82\n", "-85\n", "-59\n", "11\n", "-72\n", "-1\n", "-92\n", "-84\n", "5\n", "8\n", "3\n", "-98\n", "-98\n", "2\n", "2\n", "3\n", "-98\n", "1\n", "3\n", "-48\n", "3\n", "2\n", "-98\n", "-98\n", "-91\n", "-98\n", "2\n", "-86\n", "2\n", "3\n", "NO\n", "12\n", "2\n", "2\n", "-48\n", "3\n", "4\n", "-98\n", "4\n", "-2\n", "-98\n", "-91\n", "3\n", "2\n", "1\n", "63\n", "NO\n", "2\n", "2\n", "4\n", "4\n", "-98\n", "4\n", "-91\n", "3\n", "2\n", "1\n", "63\n", "NO\n", "11\n", "2\n", "1\n", "-72\n", "4\n", "4\n", "-98\n", "-3\n", "-91\n", "3\n", "-92\n", "-84\n", "2\n", "1\n", "63\n", "NO\n", "2\n", "1\n", "-72\n", "4\n", "4\n", "-98\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 ### Input: 4 1 2 2 -4 ### Output: 1 ### Input: 5 1 2 3 1 1 ### Output: 2 ### Code: n=int(input()) ar=[int(i) for i in input().split()] ar=list(set(sorted(ar))) ar.sort() try: print(ar[1]) except IndexError: print("NO")
254_A. Cards with Numbers_34614
Petya has got 2n cards, each card contains some integer. The numbers on the cards can be the same. Let's index all cards by consecutive integers from 1 to 2n. We'll denote the number that is written on a card with number i, as ai. In order to play one entertaining game with his friends, Petya needs to split the cards into pairs so that each pair had equal numbers on the cards. Help Petya do that. Input The first line contains integer n (1 ≤ n ≤ 3·105). The second line contains the sequence of 2n positive integers a1, a2, ..., a2n (1 ≤ ai ≤ 5000) — the numbers that are written on the cards. The numbers on the line are separated by single spaces. Output If it is impossible to divide the cards into pairs so that cards in each pair had the same numbers, print on a single line integer -1. But if the required partition exists, then print n pairs of integers, a pair per line — the indices of the cards that form the pairs. Separate the numbers on the lines by spaces. You can print the pairs and the numbers in the pairs in any order. If there are multiple solutions, print any of them. Examples Input 3 20 30 10 30 20 10 Output 4 2 1 5 6 3 Input 1 1 2 Output -1
from sys import stdin, stdout import math,sys from itertools import permutations, combinations from collections import defaultdict,deque,OrderedDict,Counter from os import path import bisect as bi import heapq mod=10**9+7 def yes():print('YES') def no():print('NO') if (path.exists('input.txt')): #------------------Sublime--------------------------------------# sys.stdin=open('input.txt','r');sys.stdout=open('output.txt','w'); def inp():return (int(input())) def minp():return(map(int,input().split())) else: #------------------PYPY FAst I/o--------------------------------# def inp():return (int(stdin.readline())) def minp():return(map(int,stdin.readline().split())) ####### ---- Start Your Program From Here ---- ####### n=inp() a=list(minp()) d=Counter(a) flag=0 for keys in d: if d[keys]&1: flag=1 break if flag: print(-1) exit(0) d={} for i in range(2*n): try: d[a[i]].append(i+1) except: d[a[i]]=[i+1] for keys in d: print(*d[keys])
{ "input": [ "3\n20 30 10 30 20 10\n", "1\n1 2\n", "5\n3 3 1 1 1 3 2 3 1 2\n", "100\n6 3 6 8 8 4 3 7 10 3 1 3 9 5 10 10 6 7 6 6 2 3 8 8 7 6 4 9 6 7 4 4 10 4 7 3 2 7 10 8 6 7 9 1 3 5 3 7 9 1 1 7 1 1 7 7 8 3 2 7 4 8 7 8 10 3 1 7 2 7 9 8 8 8 5 2 8 1 2 7 8 7 8 8 5 10 10 4 9 10 8 7 8 8 7 7 3 6 4 3 4 8 10 8 6 3 7 1 8 6 3 3 7 10 3 9 3 5 10 9 9 2 8 7 2 3 2 1 10 9 6 2 8 7 2 2 5 3 10 6 7 2 1 1 5 10 7 5 4 9 7 7 8 1 1 3 3 7 10 5 9 8 6 8 2 2 1 7 8 9 6 2 2 6 2 9 10 2 10 9 6 3 3 10 6 5 3 6 6 3 6 10 8 7 4 8 6 3 4 7\n", "5\n3 1 1 1 2 3 3 3 2 1\n", "5\n4 1 3 1 4 1 2 2 3 1\n", "100\n8 6 7 8 7 9 1 7 3 3 5 8 7 8 5 4 8 4 8 1 2 8 3 7 8 7 6 5 7 9 6 10 7 6 7 8 6 8 9 5 1 5 6 1 4 8 4 8 7 2 6 2 6 6 2 8 2 8 7 1 5 4 4 6 4 9 7 5 1 8 1 3 9 2 3 2 4 7 6 10 5 3 4 10 8 9 6 7 2 7 10 1 8 10 4 1 1 1 2 7 5 4 9 10 6 8 3 1 10 9 9 6 1 5 8 6 6 3 3 4 10 10 8 9 7 10 9 3 7 6 3 2 10 8 5 8 5 5 5 10 8 5 7 6 10 7 7 9 10 10 9 9 3 6 5 6 8 1 9 8 2 4 8 8 6 8 10 2 3 5 2 6 8 4 8 6 4 5 10 8 1 10 5 2 5 6 8 2 6 8 1 3 4 5 7 5 6 9 2 8\n", "2\n1 2 4 7\n", "5\n2 1 2 2 1 1 1 1 1 2\n", "5\n1 2 2 2 1 2 2 1 2 1\n", "5\n1 1 3 1 3 3 3 1 1 1\n", "100\n7 3 8 8 1 9 6 6 3 3 8 2 7 9 9 10 2 10 4 4 9 3 6 5 2 6 3 6 3 5 2 3 8 2 5 10 3 9 7 2 1 6 7 4 8 3 9 10 9 4 3 3 7 1 4 2 2 5 6 6 1 7 9 1 8 1 2 2 5 9 7 7 6 4 6 10 1 1 8 1 5 6 4 9 5 4 4 10 6 4 5 1 9 1 7 8 6 10 3 2 4 7 10 4 8 10 6 7 8 4 1 3 8 3 2 1 9 4 2 4 3 1 6 8 6 2 2 5 6 8 6 10 1 6 4 2 7 3 6 10 6 5 6 6 3 9 4 6 4 1 5 4 4 2 8 4 10 3 7 6 6 10 2 5 5 6 1 6 1 9 9 1 10 5 10 1 1 5 7 5 2 1 4 2 3 3 3 5 1 8 10 3 3 5 9 6 3 6 8 1\n", "5\n3 3 2 2 3 3 1 3 1 3\n", "1\n2 2\n", "5\n2 2 2 2 2 1 2 2 1 2\n" ], "output": [ "4 2\n1 5\n6 3\n", "-1", "2 1\n3 4\n8 6\n5 9\n10 7\n", "-1", "3 2\n1 6\n8 7\n5 9\n10 4\n", "4 2\n1 5\n8 7\n3 9\n10 6\n", "4 1\n3 5\n10 9\n8 13\n14 12\n11 15\n18 16\n17 19\n20 7\n22 25\n26 24\n2 27\n30 6\n29 33\n34 31\n36 38\n40 28\n37 43\n44 41\n45 47\n48 46\n35 49\n50 21\n51 53\n55 52\n56 58\n61 42\n62 63\n64 54\n39 66\n67 59\n60 69\n72 23\n57 74\n77 65\n32 80\n81 68\n75 82\n85 70\n73 86\n87 79\n78 88\n89 76\n84 91\n92 71\n83 95\n97 96\n90 100\n104 94\n93 106\n108 98\n103 110\n112 105\n101 114\n117 116\n107 118\n120 102\n109 121\n123 115\n111 124\n126 122\n119 128\n129 125\n99 132\n136 134\n135 137\n139 138\n133 140\n144 130...", "-1", "3 1\n2 5\n7 6\n8 9\n10 4\n", "3 2\n1 5\n6 4\n7 9\n10 8\n", "2 1\n3 5\n7 6\n4 8\n10 9\n", "4 3\n7 8\n9 2\n1 13\n14 6\n12 17\n18 16\n19 20\n21 15\n10 22\n26 23\n27 29\n30 24\n25 31\n33 11\n32 37\n40 34\n5 41\n42 28\n39 43\n47 38\n36 48\n50 44\n46 51\n57 56\n35 58\n60 59\n54 61\n62 53\n49 63\n65 45\n64 66\n68 67\n71 72\n74 55\n73 75\n78 77\n69 81\n84 70\n83 86\n88 76\n82 89\n90 87\n85 91\n92 80\n79 96\n99 52\n95 102\n103 98\n101 104\n107 97\n105 109\n111 94\n112 114\n115 100\n93 117\n118 110\n116 122\n124 113\n123 125\n126 119\n129 131\n132 106\n120 135\n136 127\n108 137\n138 121\n134 139\n142 128...", "2 1\n3 4\n6 5\n7 9\n10 8\n", "2 1\n", "2 1\n3 4\n7 5\n6 9\n10 8\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Petya has got 2n cards, each card contains some integer. The numbers on the cards can be the same. Let's index all cards by consecutive integers from 1 to 2n. We'll denote the number that is written on a card with number i, as ai. In order to play one entertaining game with his friends, Petya needs to split the cards into pairs so that each pair had equal numbers on the cards. Help Petya do that. Input The first line contains integer n (1 ≤ n ≤ 3·105). The second line contains the sequence of 2n positive integers a1, a2, ..., a2n (1 ≤ ai ≤ 5000) — the numbers that are written on the cards. The numbers on the line are separated by single spaces. Output If it is impossible to divide the cards into pairs so that cards in each pair had the same numbers, print on a single line integer -1. But if the required partition exists, then print n pairs of integers, a pair per line — the indices of the cards that form the pairs. Separate the numbers on the lines by spaces. You can print the pairs and the numbers in the pairs in any order. If there are multiple solutions, print any of them. Examples Input 3 20 30 10 30 20 10 Output 4 2 1 5 6 3 Input 1 1 2 Output -1 ### Input: 3 20 30 10 30 20 10 ### Output: 4 2 1 5 6 3 ### Input: 1 1 2 ### Output: -1 ### Code: from sys import stdin, stdout import math,sys from itertools import permutations, combinations from collections import defaultdict,deque,OrderedDict,Counter from os import path import bisect as bi import heapq mod=10**9+7 def yes():print('YES') def no():print('NO') if (path.exists('input.txt')): #------------------Sublime--------------------------------------# sys.stdin=open('input.txt','r');sys.stdout=open('output.txt','w'); def inp():return (int(input())) def minp():return(map(int,input().split())) else: #------------------PYPY FAst I/o--------------------------------# def inp():return (int(stdin.readline())) def minp():return(map(int,stdin.readline().split())) ####### ---- Start Your Program From Here ---- ####### n=inp() a=list(minp()) d=Counter(a) flag=0 for keys in d: if d[keys]&1: flag=1 break if flag: print(-1) exit(0) d={} for i in range(2*n): try: d[a[i]].append(i+1) except: d[a[i]]=[i+1] for keys in d: print(*d[keys])
327_B. Hungry Sequence_34623
Iahub and Iahubina went to a date at a luxury restaurant. Everything went fine until paying for the food. Instead of money, the waiter wants Iahub to write a Hungry sequence consisting of n integers. A sequence a1, a2, ..., an, consisting of n integers, is Hungry if and only if: * Its elements are in increasing order. That is an inequality ai < aj holds for any two indices i, j (i < j). * For any two indices i and j (i < j), aj must not be divisible by ai. Iahub is in trouble, so he asks you for help. Find a Hungry sequence with n elements. Input The input contains a single integer: n (1 ≤ n ≤ 105). Output Output a line that contains n space-separated integers a1 a2, ..., an (1 ≤ ai ≤ 107), representing a possible Hungry sequence. Note, that each ai must not be greater than 10000000 (107) and less than 1. If there are multiple solutions you can output any one. Examples Input 3 Output 2 9 15 Input 5 Output 11 14 20 27 31
n=int(input()) for i in range(n,n+n): print(i,end=' ')
{ "input": [ "3\n", "5\n", "2\n", "952\n", "12337\n", "1\n", "4\n", "19639\n", "22345\n", "13176\n", "1000\n", "26342\n", "28862\n", "1248\n", "18815\n", "8\n", "23387\n", "9485\n", "1001\n", "29158\n", "11269\n", "6\n", "1308\n", "20220\n", "10\n", "26875\n", "2537\n", "0001\n", "20794\n", "21927\n", "7\n", "1242\n", "9\n", "373\n", "2664\n", "16663\n", "11\n", "2428\n", "15\n", "422\n", "4041\n", "30\n", "3939\n", "23\n", "175\n", "4336\n", "14\n", "2383\n", "27\n", "29\n", "4747\n", "13\n", "3218\n", "617\n", "21\n", "1163\n", "755\n", "16\n", "1265\n", "911\n", "25\n", "2402\n", "664\n", "50\n", "4784\n", "531\n", "45\n", "4790\n", "993\n", "68\n", "5203\n", "1367\n", "55\n", "593\n", "965\n", "17\n", "939\n", "574\n", "19\n", "1417\n", "1038\n", "28\n", "441\n", "1908\n", "20\n", "434\n", "3459\n", "39\n", "598\n", "6777\n", "24\n", "71\n", "583\n", "34\n", "135\n", "448\n", "41\n", "169\n", "227\n", "46\n", "252\n" ], "output": [ "2 3 5 \n", "2 3 5 7 11 \n", "2 3\n", "2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 947 953 967 971 977 983 991 997 1009 1013 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069 1087 1091 1093 1097 1103 1109 1117 1123 1129 1151 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223 1229 1231 1237 1249 1259 1277 1279 1283 1289 1291 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511 1523 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2083 2087 2089 2099 2111 2113 2129 2131 2137 2141 2143 2153 2161 2179 2203 2207 2213 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287 2293 2297 2309 2311 2333 2339 2341 2347 2351 2357 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423 2437 2441 2447 2459 2467 2473 2477 2503 2521 2531 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617 2621 2633 2647 2657 2659 2663 2671 2677 2683 2687 2689 2693 2699 2707 2711 2713 2719 2729 2731 2741 2749 2753 2767 2777 2789 2791 2797 2801 2803 2819 2833 2837 2843 2851 2857 2861 2879 2887 2897 2903 2909 2917 2927 2939 2953 2957 2963 2969 2971 2999 3001 3011 3019 3023 3037 3041 3049 3061 3067 3079 3083 3089 3109 3119 3121 3137 3163 3167 3169 3181 3187 3191 3203 3209 3217 3221 3229 3251 3253 3257 3259 3271 3299 3301 3307 3313 3319 3323 3329 3331 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413 3433 3449 3457 3461 3463 3467 3469 3491 3499 3511 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571 3581 3583 3593 3607 3613 3617 3623 3631 3637 3643 3659 3671 3673 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37403 37404 37405 37406 37407 37408 37409 37410 37411 37412 37413 37414 37415 37416 37417 37418 37419 37420 37421 37422 37423 37424 37425 37426 37427 37428 37429 37430 37431 37432 37433 37434 37435 37436 37437 37438 37439 37440 37441 37442 37443 37444 37445 37446 37447 37448 37449 37450 37451 37452 37453 37454 37455 37456 37457 37458 37459 37460 37461 37462 37463 37464 37465 37466 37467 37468 37469 37470 37471 37472 37473 37474 37475 37476 37477 37478 37479 37480 37481 37482 37483 37484 37485 37486 37487 37488 37489 37490 37491 37492 37493 37494 37495 37496 37497 37498 37499 37500 37501 37502 37503 37504 37505 37506 37507 37508 37509 37510 37511 37512 37513 37514 37515 37516 37517 37518 37519 37520 37521 37522 37523 37524 37525 37526 37527 37528 37529 37530 37531 37532 37533 37534 37535 37536 37537 37538 37539 37540 37541 37542 37543 37544 37545 37546 37547 37548 37549 37550 37551 37552 37553 37554 37555 37556 37557 37558 37559 37560 37561 37562 37563 37564 37565 37566 37567 37568 37569 37570 37571 37572 37573 37574 37575 37576 37577 37578 37579 37580 37581 37582 37583 37584 37585 37586 37587 37588 37589 37590 37591 37592 37593 37594 37595 37596 37597 37598 37599 37600 37601 37602 37603 37604 37605 37606 37607 37608 37609 37610 37611 37612 37613 37614 37615 37616 37617 37618 37619 37620 37621 37622 37623 37624 37625 37626 37627 37628 37629\n", "8 9 10 11 12 13 14 15\n", "23387 23388 23389 23390 23391 23392 23393 23394 23395 23396 23397 23398 23399 23400 23401 23402 23403 23404 23405 23406 23407 23408 23409 23410 23411 23412 23413 23414 23415 23416 23417 23418 23419 23420 23421 23422 23423 23424 23425 23426 23427 23428 23429 23430 23431 23432 23433 23434 23435 23436 23437 23438 23439 23440 23441 23442 23443 23444 23445 23446 23447 23448 23449 23450 23451 23452 23453 23454 23455 23456 23457 23458 23459 23460 23461 23462 23463 23464 23465 23466 23467 23468 23469 23470 23471 23472 23473 23474 23475 23476 23477 23478 23479 23480 23481 23482 23483 23484 23485 23486 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1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 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1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001\n", "29158 29159 29160 29161 29162 29163 29164 29165 29166 29167 29168 29169 29170 29171 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22297 22298 22299 22300 22301 22302 22303 22304 22305 22306 22307 22308 22309 22310 22311 22312 22313 22314 22315 22316 22317 22318 22319 22320 22321 22322 22323 22324 22325 22326 22327 22328 22329 22330 22331 22332 22333 22334 22335 22336 22337 22338 22339 22340 22341 22342 22343 22344 22345 22346 22347 22348 22349 22350 22351 22352 22353 22354 22355 22356 22357 22358 22359 22360 22361 22362 22363 22364 22365 22366 22367 22368 22369 22370 22371 22372 22373 22374 22375 22376 22377 22378 22379 22380 22381 22382 22383 22384 22385 22386 22387 22388 22389 22390 22391 22392 22393 22394 22395 22396 22397 22398 22399 22400 22401 22402 22403 22404 22405 22406 22407 22408 22409 22410 22411 22412 22413 22414 22415 22416 22417 22418 22419 22420 22421 22422 22423 22424 22425 22426 22427 22428 22429 22430 22431 22432 22433 22434 22435 22436 22437 22438 22439 22440 22441 22442 22443 22444 22445 22446 22447 22448 22449 22450 22451 22452 22453 22454 22455 22456 22457 22458 22459 22460 22461 22462 22463 22464 22465 22466 22467 22468 22469 22470 22471 22472 22473 22474 22475 22476 22477 22478 22479 22480 22481 22482 22483 22484 22485 22486 22487 22488 22489 22490 22491 22492 22493 22494 22495 22496 22497 22498 22499 22500 22501 22502 22503 22504 22505 22506 22507 22508 22509 22510 22511 22512 22513 22514 22515 22516 22517 22518 22519 22520 22521 22522 22523 22524 22525 22526 22527 22528 22529 22530 22531 22532 22533 22534 22535 22536 22537\n", "6 7 8 9 10 11\n", "1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 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2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 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2613 2614 2615\n", "20220 20221 20222 20223 20224 20225 20226 20227 20228 20229 20230 20231 20232 20233 20234 20235 20236 20237 20238 20239 20240 20241 20242 20243 20244 20245 20246 20247 20248 20249 20250 20251 20252 20253 20254 20255 20256 20257 20258 20259 20260 20261 20262 20263 20264 20265 20266 20267 20268 20269 20270 20271 20272 20273 20274 20275 20276 20277 20278 20279 20280 20281 20282 20283 20284 20285 20286 20287 20288 20289 20290 20291 20292 20293 20294 20295 20296 20297 20298 20299 20300 20301 20302 20303 20304 20305 20306 20307 20308 20309 20310 20311 20312 20313 20314 20315 20316 20317 20318 20319 20320 20321 20322 20323 20324 20325 20326 20327 20328 20329 20330 20331 20332 20333 20334 20335 20336 20337 20338 20339 20340 20341 20342 20343 20344 20345 20346 20347 20348 20349 20350 20351 20352 20353 20354 20355 20356 20357 20358 20359 20360 20361 20362 20363 20364 20365 20366 20367 20368 20369 20370 20371 20372 20373 20374 20375 20376 20377 20378 20379 20380 20381 20382 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39473 39474 39475 39476 39477 39478 39479 39480 39481 39482 39483 39484 39485 39486 39487 39488 39489 39490 39491 39492 39493 39494 39495 39496 39497 39498 39499 39500 39501 39502 39503 39504 39505 39506 39507 39508 39509 39510 39511 39512 39513 39514 39515 39516 39517 39518 39519 39520 39521 39522 39523 39524 39525 39526 39527 39528 39529 39530 39531 39532 39533 39534 39535 39536 39537 39538 39539 39540 39541 39542 39543 39544 39545 39546 39547 39548 39549 39550 39551 39552 39553 39554 39555 39556 39557 39558 39559 39560 39561 39562 39563 39564 39565 39566 39567 39568 39569 39570 39571 39572 39573 39574 39575 39576 39577 39578 39579 39580 39581 39582 39583 39584 39585 39586 39587 39588 39589 39590 39591 39592 39593 39594 39595 39596 39597 39598 39599 39600 39601 39602 39603 39604 39605 39606 39607 39608 39609 39610 39611 39612 39613 39614 39615 39616 39617 39618 39619 39620 39621 39622 39623 39624 39625 39626 39627 39628 39629 39630 39631 39632 39633 39634 39635 39636 39637 39638 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39971 39972 39973 39974 39975 39976 39977 39978 39979 39980 39981 39982 39983 39984 39985 39986 39987 39988 39989 39990 39991 39992 39993 39994 39995 39996 39997 39998 39999 40000 40001 40002 40003 40004 40005 40006 40007 40008 40009 40010 40011 40012 40013 40014 40015 40016 40017 40018 40019 40020 40021 40022 40023 40024 40025 40026 40027 40028 40029 40030 40031 40032 40033 40034 40035 40036 40037 40038 40039 40040 40041 40042 40043 40044 40045 40046 40047 40048 40049 40050 40051 40052 40053 40054 40055 40056 40057 40058 40059 40060 40061 40062 40063 40064 40065 40066 40067 40068 40069 40070 40071 40072 40073 40074 40075 40076 40077 40078 40079 40080 40081 40082 40083 40084 40085 40086 40087 40088 40089 40090 40091 40092 40093 40094 40095 40096 40097 40098 40099 40100 40101 40102 40103 40104 40105 40106 40107 40108 40109 40110 40111 40112 40113 40114 40115 40116 40117 40118 40119 40120 40121 40122 40123 40124 40125 40126 40127 40128 40129 40130 40131 40132 40133 40134 40135 40136 40137 40138 40139 40140 40141 40142 40143 40144 40145 40146 40147 40148 40149 40150 40151 40152 40153 40154 40155 40156 40157 40158 40159 40160 40161 40162 40163 40164 40165 40166 40167 40168 40169 40170 40171 40172 40173 40174 40175 40176 40177 40178 40179 40180 40181 40182 40183 40184 40185 40186 40187 40188 40189 40190 40191 40192 40193 40194 40195 40196 40197 40198 40199 40200 40201 40202 40203 40204 40205 40206 40207 40208 40209 40210 40211 40212 40213 40214 40215 40216 40217 40218 40219 40220 40221 40222 40223 40224 40225 40226 40227 40228 40229 40230 40231 40232 40233 40234 40235 40236 40237 40238 40239 40240 40241 40242 40243 40244 40245 40246 40247 40248 40249 40250 40251 40252 40253 40254 40255 40256 40257 40258 40259 40260 40261 40262 40263 40264 40265 40266 40267 40268 40269 40270 40271 40272 40273 40274 40275 40276 40277 40278 40279 40280 40281 40282 40283 40284 40285 40286 40287 40288 40289 40290 40291 40292 40293 40294 40295 40296 40297 40298 40299 40300 40301 40302 40303 40304 40305 40306 40307 40308 40309 40310 40311 40312 40313 40314 40315 40316 40317 40318 40319 40320 40321 40322 40323 40324 40325 40326 40327 40328 40329 40330 40331 40332 40333 40334 40335 40336 40337 40338 40339 40340 40341 40342 40343 40344 40345 40346 40347 40348 40349 40350 40351 40352 40353 40354 40355 40356 40357 40358 40359 40360 40361 40362 40363 40364 40365 40366 40367 40368 40369 40370 40371 40372 40373 40374 40375 40376 40377 40378 40379 40380 40381 40382 40383 40384 40385 40386 40387 40388 40389 40390 40391 40392 40393 40394 40395 40396 40397 40398 40399 40400 40401 40402 40403 40404 40405 40406 40407 40408 40409 40410 40411 40412 40413 40414 40415 40416 40417 40418 40419 40420 40421 40422 40423 40424 40425 40426 40427 40428 40429 40430 40431 40432 40433 40434 40435 40436 40437 40438 40439\n", "10 11 12 13 14 15 16 17 18 19\n", "26875 26876 26877 26878 26879 26880 26881 26882 26883 26884 26885 26886 26887 26888 26889 26890 26891 26892 26893 26894 26895 26896 26897 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43719 43720 43721 43722 43723 43724 43725 43726 43727 43728 43729 43730 43731 43732 43733 43734 43735 43736 43737 43738 43739 43740 43741 43742 43743 43744 43745 43746 43747 43748 43749 43750 43751 43752 43753 43754 43755 43756 43757 43758 43759 43760 43761 43762 43763 43764 43765 43766 43767 43768 43769 43770 43771 43772 43773 43774 43775 43776 43777 43778 43779 43780 43781 43782 43783 43784 43785 43786 43787 43788 43789 43790 43791 43792 43793 43794 43795 43796 43797 43798 43799 43800 43801 43802 43803 43804 43805 43806 43807 43808 43809 43810 43811 43812 43813 43814 43815 43816 43817 43818 43819 43820 43821 43822 43823 43824 43825 43826 43827 43828 43829 43830 43831 43832 43833 43834 43835 43836 43837 43838 43839 43840 43841 43842 43843 43844 43845 43846 43847 43848 43849 43850 43851 43852 43853\n", "7 8 9 10 11 12 13\n", "1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483\n", "9 10 11 12 13 14 15 16 17\n", "373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745\n", "2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224 4225 4226 4227 4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313 4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341 4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383 4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397 4398 4399 4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441 4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655 4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669 4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 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33112 33113 33114 33115 33116 33117 33118 33119 33120 33121 33122 33123 33124 33125 33126 33127 33128 33129 33130 33131 33132 33133 33134 33135 33136 33137 33138 33139 33140 33141 33142 33143 33144 33145 33146 33147 33148 33149 33150 33151 33152 33153 33154 33155 33156 33157 33158 33159 33160 33161 33162 33163 33164 33165 33166 33167 33168 33169 33170 33171 33172 33173 33174 33175 33176 33177 33178 33179 33180 33181 33182 33183 33184 33185 33186 33187 33188 33189 33190 33191 33192 33193 33194 33195 33196 33197 33198 33199 33200 33201 33202 33203 33204 33205 33206 33207 33208 33209 33210 33211 33212 33213 33214 33215 33216 33217 33218 33219 33220 33221 33222 33223 33224 33225 33226 33227 33228 33229 33230 33231 33232 33233 33234 33235 33236 33237 33238 33239 33240 33241 33242 33243 33244 33245 33246 33247 33248 33249 33250 33251 33252 33253 33254 33255 33256 33257 33258 33259 33260 33261 33262 33263 33264 33265 33266 33267 33268 33269 33270 33271 33272 33273 33274 33275 33276 33277 33278 33279 33280 33281 33282 33283 33284 33285 33286 33287 33288 33289 33290 33291 33292 33293 33294 33295 33296 33297 33298 33299 33300 33301 33302 33303 33304 33305 33306 33307 33308 33309 33310 33311 33312 33313 33314 33315 33316 33317 33318 33319 33320 33321 33322 33323 33324 33325\n", "11 12 13 14 15 16 17 18 19 20 21\n", "2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 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2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 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791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843\n", "4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 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8334 8335 8336 8337 8338 8339 8340 8341 8342 8343 8344 8345 8346 8347 8348 8349 8350 8351 8352 8353 8354 8355 8356 8357 8358 8359 8360 8361 8362 8363 8364 8365 8366 8367 8368 8369 8370 8371 8372 8373 8374 8375 8376 8377 8378 8379 8380 8381 8382 8383 8384 8385 8386 8387 8388 8389 8390 8391 8392 8393 8394 8395 8396 8397 8398 8399 8400 8401 8402 8403 8404 8405 8406 8407 8408 8409 8410 8411 8412 8413 8414 8415 8416 8417 8418 8419 8420 8421 8422 8423 8424 8425 8426 8427 8428 8429 8430 8431 8432 8433 8434 8435 8436 8437 8438 8439 8440 8441 8442 8443 8444 8445 8446 8447 8448 8449 8450 8451 8452 8453 8454 8455 8456 8457 8458 8459 8460 8461 8462 8463 8464 8465 8466 8467 8468 8469 8470 8471 8472 8473 8474 8475 8476 8477 8478 8479 8480 8481 8482 8483 8484 8485 8486 8487 8488 8489 8490 8491 8492 8493 8494 8495 8496 8497 8498 8499 8500 8501 8502 8503 8504 8505 8506 8507 8508 8509 8510 8511 8512 8513 8514 8515 8516 8517 8518 8519 8520 8521 8522 8523 8524 8525 8526 8527 8528 8529 8530 8531 8532 8533 8534 8535 8536 8537 8538 8539 8540 8541 8542 8543 8544 8545 8546 8547 8548 8549 8550 8551 8552 8553 8554 8555 8556 8557 8558 8559 8560 8561 8562 8563 8564 8565 8566 8567 8568 8569 8570 8571 8572 8573 8574 8575 8576 8577 8578 8579 8580 8581 8582 8583 8584 8585 8586 8587 8588 8589 8590 8591 8592 8593 8594 8595 8596 8597 8598 8599 8600 8601 8602 8603 8604 8605 8606 8607 8608 8609 8610 8611 8612 8613 8614 8615 8616 8617 8618 8619 8620 8621 8622 8623 8624 8625 8626 8627 8628 8629 8630 8631 8632 8633 8634 8635 8636 8637 8638 8639 8640 8641 8642 8643 8644 8645 8646 8647 8648 8649 8650 8651 8652 8653 8654 8655 8656 8657 8658 8659 8660 8661 8662 8663 8664 8665 8666 8667 8668 8669 8670 8671\n", "14 15 16 17 18 19 20 21 22 23 24 25 26 27\n", "2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 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3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 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3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 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4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313 4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341 4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383 4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397 4398 4399 4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441 4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655 4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669 4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765\n", "27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n", "29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n", "4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769 4770 4771 4772 4773 4774 4775 4776 4777 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4978 4979 4980 4981 4982 4983 4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 4995 4996 4997 4998 4999 5000 5001 5002 5003 5004 5005 5006 5007 5008 5009 5010 5011 5012 5013 5014 5015 5016 5017 5018 5019 5020 5021 5022 5023 5024 5025 5026 5027 5028 5029 5030 5031 5032 5033 5034 5035 5036 5037 5038 5039 5040 5041 5042 5043 5044 5045 5046 5047 5048 5049 5050 5051 5052 5053 5054 5055 5056 5057 5058 5059 5060 5061 5062 5063 5064 5065 5066 5067 5068 5069 5070 5071 5072 5073 5074 5075 5076 5077 5078 5079 5080 5081 5082 5083 5084 5085 5086 5087 5088 5089 5090 5091 5092 5093 5094 5095 5096 5097 5098 5099 5100 5101 5102 5103 5104 5105 5106 5107 5108 5109 5110 5111 5112 5113 5114 5115 5116 5117 5118 5119 5120 5121 5122 5123 5124 5125 5126 5127 5128 5129 5130 5131 5132 5133 5134 5135 5136 5137 5138 5139 5140 5141 5142 5143 5144 5145 5146 5147 5148 5149 5150 5151 5152 5153 5154 5155 5156 5157 5158 5159 5160 5161 5162 5163 5164 5165 5166 5167 5168 5169 5170 5171 5172 5173 5174 5175 5176 5177 5178 5179 5180 5181 5182 5183 5184 5185 5186 5187 5188 5189 5190 5191 5192 5193 5194 5195 5196 5197 5198 5199 5200 5201 5202 5203 5204 5205 5206 5207 5208 5209 5210 5211 5212 5213 5214 5215 5216 5217 5218 5219 5220 5221 5222 5223 5224 5225 5226 5227 5228 5229 5230 5231 5232 5233 5234 5235 5236 5237 5238 5239 5240 5241 5242 5243 5244 5245 5246 5247 5248 5249 5250 5251 5252 5253 5254 5255 5256 5257 5258 5259 5260 5261 5262 5263 5264 5265 5266 5267 5268 5269 5270 5271 5272 5273 5274 5275 5276 5277 5278 5279 5280 5281 5282 5283 5284 5285 5286 5287 5288 5289 5290 5291 5292 5293 5294 5295 5296 5297 5298 5299 5300 5301 5302 5303 5304 5305 5306 5307 5308 5309 5310 5311 5312 5313 5314 5315 5316 5317 5318 5319 5320 5321 5322 5323 5324 5325 5326 5327 5328 5329 5330 5331 5332 5333 5334 5335 5336 5337 5338 5339 5340 5341 5342 5343 5344 5345 5346 5347 5348 5349 5350 5351 5352 5353 5354 5355 5356 5357 5358 5359 5360 5361 5362 5363 5364 5365 5366 5367 5368 5369 5370 5371 5372 5373 5374 5375 5376 5377 5378 5379 5380 5381 5382 5383 5384 5385 5386 5387 5388 5389 5390 5391 5392 5393 5394 5395 5396 5397 5398 5399 5400 5401 5402 5403 5404 5405 5406 5407 5408 5409 5410 5411 5412 5413 5414 5415 5416 5417 5418 5419 5420 5421 5422 5423 5424 5425 5426 5427 5428 5429 5430 5431 5432 5433 5434 5435 5436 5437 5438 5439 5440 5441 5442 5443 5444 5445 5446 5447 5448 5449 5450 5451 5452 5453 5454 5455 5456 5457 5458 5459 5460 5461 5462 5463 5464 5465 5466 5467 5468 5469 5470 5471 5472 5473 5474 5475 5476 5477 5478 5479 5480 5481 5482 5483 5484 5485 5486 5487 5488 5489 5490 5491 5492 5493 5494 5495 5496 5497 5498 5499 5500 5501 5502 5503 5504 5505 5506 5507 5508 5509 5510 5511 5512 5513 5514 5515 5516 5517 5518 5519 5520 5521 5522 5523 5524 5525 5526 5527 5528 5529 5530 5531 5532 5533 5534 5535 5536 5537 5538 5539 5540 5541 5542 5543 5544 5545 5546 5547 5548 5549 5550 5551 5552 5553 5554 5555 5556 5557 5558 5559 5560 5561 5562 5563 5564 5565 5566 5567 5568 5569 5570 5571 5572 5573 5574 5575 5576 5577 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9378 9379 9380 9381 9382 9383 9384 9385 9386 9387 9388 9389 9390 9391 9392 9393 9394 9395 9396 9397 9398 9399 9400 9401 9402 9403 9404 9405 9406 9407 9408 9409 9410 9411 9412 9413 9414 9415 9416 9417 9418 9419 9420 9421 9422 9423 9424 9425 9426 9427 9428 9429 9430 9431 9432 9433 9434 9435 9436 9437 9438 9439 9440 9441 9442 9443 9444 9445 9446 9447 9448 9449 9450 9451 9452 9453 9454 9455 9456 9457 9458 9459 9460 9461 9462 9463 9464 9465 9466 9467 9468 9469 9470 9471 9472 9473 9474 9475 9476 9477 9478 9479 9480 9481 9482 9483 9484 9485 9486 9487 9488 9489 9490 9491 9492 9493\n", "13 14 15 16 17 18 19 20 21 22 23 24 25\n", "3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 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9128 9129 9130 9131 9132 9133 9134 9135 9136 9137 9138 9139 9140 9141 9142 9143 9144 9145 9146 9147 9148 9149 9150 9151 9152 9153 9154 9155 9156 9157 9158 9159 9160 9161 9162 9163 9164 9165 9166 9167 9168 9169 9170 9171 9172 9173 9174 9175 9176 9177 9178 9179 9180 9181 9182 9183 9184 9185 9186 9187 9188 9189 9190 9191 9192 9193 9194 9195 9196 9197 9198 9199 9200 9201 9202 9203 9204 9205 9206 9207 9208 9209 9210 9211 9212 9213 9214 9215 9216 9217 9218 9219 9220 9221 9222 9223 9224 9225 9226 9227 9228 9229 9230 9231 9232 9233 9234 9235 9236 9237 9238 9239 9240 9241 9242 9243 9244 9245 9246 9247 9248 9249 9250 9251 9252 9253 9254 9255 9256 9257 9258 9259 9260 9261 9262 9263 9264 9265 9266 9267 9268 9269 9270 9271 9272 9273 9274 9275 9276 9277 9278 9279 9280 9281 9282 9283 9284 9285 9286 9287 9288 9289 9290 9291 9292 9293 9294 9295 9296 9297 9298 9299 9300 9301 9302 9303 9304 9305 9306 9307 9308 9309 9310 9311 9312 9313 9314 9315 9316 9317 9318 9319 9320 9321 9322 9323 9324 9325 9326 9327 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9728 9729 9730 9731 9732 9733 9734 9735 9736 9737 9738 9739 9740 9741 9742 9743 9744 9745 9746 9747 9748 9749 9750 9751 9752 9753 9754 9755 9756 9757 9758 9759 9760 9761 9762 9763 9764 9765 9766 9767 9768 9769 9770 9771 9772 9773 9774 9775 9776 9777 9778 9779 9780 9781 9782 9783 9784 9785 9786 9787 9788 9789 9790 9791 9792 9793 9794 9795 9796 9797 9798 9799 9800 9801 9802 9803 9804 9805 9806 9807 9808 9809 9810 9811 9812 9813 9814 9815 9816 9817 9818 9819 9820 9821 9822 9823 9824 9825 9826 9827 9828 9829 9830 9831 9832 9833 9834 9835 9836 9837 9838 9839 9840 9841 9842 9843 9844 9845 9846 9847 9848 9849 9850 9851 9852 9853 9854 9855 9856 9857 9858 9859 9860 9861 9862 9863 9864 9865 9866 9867 9868 9869 9870 9871 9872 9873 9874 9875 9876 9877 9878 9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 10001 10002 10003 10004 10005 10006 10007 10008 10009 10010 10011 10012 10013 10014 10015 10016 10017 10018 10019 10020 10021 10022 10023 10024 10025 10026 10027 10028 10029 10030 10031 10032 10033 10034 10035 10036 10037 10038 10039 10040 10041 10042 10043 10044 10045 10046 10047 10048 10049 10050 10051 10052 10053 10054 10055 10056 10057 10058 10059 10060 10061 10062 10063 10064 10065 10066 10067 10068 10069 10070 10071 10072 10073 10074 10075 10076 10077 10078 10079 10080 10081 10082 10083 10084 10085 10086 10087 10088 10089 10090 10091 10092 10093 10094 10095 10096 10097 10098 10099 10100 10101 10102 10103 10104 10105 10106 10107 10108 10109 10110 10111 10112 10113 10114 10115 10116 10117 10118 10119 10120 10121 10122 10123 10124 10125 10126 10127 10128 10129 10130 10131 10132 10133 10134 10135 10136 10137 10138 10139 10140 10141 10142 10143 10144 10145 10146 10147 10148 10149 10150 10151 10152 10153 10154 10155 10156 10157 10158 10159 10160 10161 10162 10163 10164 10165 10166 10167 10168 10169 10170 10171 10172 10173 10174 10175 10176 10177 10178 10179 10180 10181 10182 10183 10184 10185 10186 10187 10188 10189 10190 10191 10192 10193 10194 10195 10196 10197 10198 10199 10200 10201 10202 10203 10204 10205 10206 10207 10208 10209 10210 10211 10212 10213 10214 10215 10216 10217 10218 10219 10220 10221 10222 10223 10224 10225 10226 10227 10228 10229 10230 10231 10232 10233 10234 10235 10236 10237 10238 10239 10240 10241 10242 10243 10244 10245 10246 10247 10248 10249 10250 10251 10252 10253 10254 10255 10256 10257 10258 10259 10260 10261 10262 10263 10264 10265 10266 10267 10268 10269 10270 10271 10272 10273 10274 10275 10276 10277 10278 10279 10280 10281 10282 10283 10284 10285 10286 10287 10288 10289 10290 10291 10292 10293 10294 10295 10296 10297 10298 10299 10300 10301 10302 10303 10304 10305 10306 10307 10308 10309 10310 10311 10312 10313 10314 10315 10316 10317 10318 10319 10320 10321 10322 10323 10324 10325 10326 10327 10328 10329 10330 10331 10332 10333 10334 10335 10336 10337 10338 10339 10340 10341 10342 10343 10344 10345 10346 10347 10348 10349 10350 10351 10352 10353 10354 10355 10356 10357 10358 10359 10360 10361 10362 10363 10364 10365 10366 10367 10368 10369 10370 10371 10372 10373 10374 10375 10376 10377 10378 10379 10380 10381 10382 10383 10384 10385 10386 10387 10388 10389 10390 10391 10392 10393 10394 10395 10396 10397 10398 10399 10400 10401 10402 10403 10404 10405\n", "1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 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1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 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2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 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2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833\n", "1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075\n", "28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n", "441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881\n", "1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 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13315 13316 13317 13318 13319 13320 13321 13322 13323 13324 13325 13326 13327 13328 13329 13330 13331 13332 13333 13334 13335 13336 13337 13338 13339 13340 13341 13342 13343 13344 13345 13346 13347 13348 13349 13350 13351 13352 13353 13354 13355 13356 13357 13358 13359 13360 13361 13362 13363 13364 13365 13366 13367 13368 13369 13370 13371 13372 13373 13374 13375 13376 13377 13378 13379 13380 13381 13382 13383 13384 13385 13386 13387 13388 13389 13390 13391 13392 13393 13394 13395 13396 13397 13398 13399 13400 13401 13402 13403 13404 13405 13406 13407 13408 13409 13410 13411 13412 13413 13414 13415 13416 13417 13418 13419 13420 13421 13422 13423 13424 13425 13426 13427 13428 13429 13430 13431 13432 13433 13434 13435 13436 13437 13438 13439 13440 13441 13442 13443 13444 13445 13446 13447 13448 13449 13450 13451 13452 13453 13454 13455 13456 13457 13458 13459 13460 13461 13462 13463 13464 13465 13466 13467 13468 13469 13470 13471 13472 13473 13474 13475 13476 13477 13478 13479 13480 13481 13482 13483 13484 13485 13486 13487 13488 13489 13490 13491 13492 13493 13494 13495 13496 13497 13498 13499 13500 13501 13502 13503 13504 13505 13506 13507 13508 13509 13510 13511 13512 13513 13514 13515 13516 13517 13518 13519 13520 13521 13522 13523 13524 13525 13526 13527 13528 13529 13530 13531 13532 13533 13534 13535 13536 13537 13538 13539 13540 13541 13542 13543 13544 13545 13546 13547 13548 13549 13550 13551 13552 13553\n", "24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n", "71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141\n", "583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165\n", "34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67\n", "135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269\n", "448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895\n", "41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81\n", "169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337\n", "227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453\n", "46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91\n", "252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Iahub and Iahubina went to a date at a luxury restaurant. Everything went fine until paying for the food. Instead of money, the waiter wants Iahub to write a Hungry sequence consisting of n integers. A sequence a1, a2, ..., an, consisting of n integers, is Hungry if and only if: * Its elements are in increasing order. That is an inequality ai < aj holds for any two indices i, j (i < j). * For any two indices i and j (i < j), aj must not be divisible by ai. Iahub is in trouble, so he asks you for help. Find a Hungry sequence with n elements. Input The input contains a single integer: n (1 ≤ n ≤ 105). Output Output a line that contains n space-separated integers a1 a2, ..., an (1 ≤ ai ≤ 107), representing a possible Hungry sequence. Note, that each ai must not be greater than 10000000 (107) and less than 1. If there are multiple solutions you can output any one. Examples Input 3 Output 2 9 15 Input 5 Output 11 14 20 27 31 ### Input: 3 ### Output: 2 3 5 ### Input: 5 ### Output: 2 3 5 7 11 ### Code: n=int(input()) for i in range(n,n+n): print(i,end=' ')
349_C. Mafia_34627
One day n friends gathered together to play "Mafia". During each round of the game some player must be the supervisor and other n - 1 people take part in the game. For each person we know in how many rounds he wants to be a player, not the supervisor: the i-th person wants to play ai rounds. What is the minimum number of rounds of the "Mafia" game they need to play to let each person play at least as many rounds as they want? Input The first line contains integer n (3 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the i-th number in the list is the number of rounds the i-th person wants to play. Output In a single line print a single integer — the minimum number of game rounds the friends need to let the i-th person play at least ai rounds. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 3 3 2 2 Output 4 Input 4 2 2 2 2 Output 3 Note You don't need to know the rules of "Mafia" to solve this problem. If you're curious, it's a game Russia got from the Soviet times: http://en.wikipedia.org/wiki/Mafia_(party_game).
def ceil(x): if int(x) != x: return int(x+1) else: return int(x) def mafia(): n = int(input()) rounds = list(map(int, str(input()).split())) count = 0 rounds.sort(reverse=True) for i in range(n-1, 0, -1): if rounds[i-1] == rounds[i]: continue else: steps = n - i count += steps*(rounds[i-1] - rounds[i]) rounds[0] -= count if rounds[0] > 0: k = ceil(rounds[0] / (n - 1)) count += n * k rounds[0] += k * (1 - n) if rounds[0] <= 0: count += rounds[0] print(count) if __name__ == '__main__': mafia()
{ "input": [ "3\n3 2 2\n", "4\n2 2 2 2\n", "4\n1 2 3 4\n", "5\n1000000000 1000000000 1000000000 1000000000 1000000000\n", "10\n94 96 91 95 99 94 96 92 95 99\n", "10\n13 12 10 13 13 14 10 10 12 12\n", "3\n1 1 1\n", "3\n2 1 1\n", "3\n4 10 11\n", "7\n9 7 7 8 8 7 8\n", "3\n1000000000 1000000000 10000000\n", "30\n94 93 90 94 90 91 93 91 93 94 93 90 100 94 97 94 94 95 94 96 94 98 97 95 97 91 91 95 98 96\n", "3\n1 2 1\n", "100\n1 555 876 444 262 234 231 598 416 261 206 165 181 988 469 123 602 592 533 97 864 716 831 156 962 341 207 377 892 51 866 96 757 317 832 476 549 472 770 1000 887 145 956 515 992 653 972 677 973 527 984 559 280 346 580 30 372 547 209 929 492 520 446 726 47 170 699 560 814 206 688 955 308 287 26 102 77 430 262 71 415 586 532 562 419 615 732 658 108 315 268 574 86 12 23 429 640 995 342 305\n", "5\n1000000000 1 1 1 1\n", "4\n1000000000 1000000000 1000000000 1000000000\n", "3\n677876423 834056477 553175531\n", "5\n1000000000 5 5 4 4\n", "4\n1 2 3 0\n", "5\n1000000000 1000000000 1000010000 1000000000 1000000000\n", "10\n94 96 91 95 99 94 96 152 95 99\n", "10\n13 12 17 13 13 14 10 10 12 12\n", "3\n1 1 2\n", "3\n4 10 5\n", "7\n9 7 7 8 8 7 16\n", "3\n1000000000 1000000000 11000000\n", "30\n94 93 90 94 90 91 93 91 93 94 93 90 100 94 97 94 94 95 94 96 94 122 97 95 97 91 91 95 98 96\n", "3\n1 1 0\n", "100\n1 555 876 444 262 234 231 598 416 261 206 165 181 988 469 123 602 592 533 97 864 716 831 156 962 341 207 377 892 51 866 96 757 317 832 476 549 472 770 1000 887 145 956 515 992 653 972 677 973 527 984 559 280 346 580 30 372 547 209 929 492 520 446 726 47 170 699 560 814 206 688 955 308 287 26 102 77 430 262 71 415 586 532 786 419 615 732 658 108 315 268 574 86 12 23 429 640 995 342 305\n", "5\n1000000000 0 1 1 1\n", "4\n1000000000 1000000000 1000000000 1000000001\n", "3\n677876423 834056477 1076508275\n", "3\n3 4 2\n", "5\n1000000000 1000000000 1010010000 1000000000 1000000000\n", "3\n4 5 5\n", "7\n9 7 7 8 8 7 1\n", "3\n1000000000 1000000000 11010000\n", "30\n94 93 90 94 90 91 93 91 93 94 93 90 100 94 97 94 94 95 94 96 94 122 138 95 97 91 91 95 98 96\n", "100\n1 555 876 444 262 234 231 598 416 261 206 165 181 988 469 123 602 592 533 97 864 716 831 156 962 341 207 377 892 51 866 96 757 317 832 476 549 472 770 1000 887 145 956 515 992 653 972 677 973 527 1384 559 280 346 580 30 372 547 209 929 492 520 446 726 47 170 699 560 814 206 688 955 308 287 26 102 77 430 262 71 415 586 532 786 419 615 732 658 108 315 268 574 86 12 23 429 640 995 342 305\n", "4\n1100000000 1000000000 1000000000 1000000001\n", "3\n677876423 834056477 811782767\n", "3\n3 4 1\n", "5\n1000000000 1000000000 1010010000 1000000100 1000000000\n", "10\n20 12 17 13 13 14 10 10 10 12\n", "3\n2 5 5\n", "3\n1000000010 1000000000 11010000\n", "30\n94 93 90 94 90 91 93 91 93 94 93 90 100 94 180 94 94 95 94 96 94 122 138 95 97 91 91 95 98 96\n", "4\n1100000000 1000000000 1000000100 1000000001\n", "3\n544084435 834056477 811782767\n", "5\n1000010000 10 5 1 4\n", "5\n1000000000 1000000000 1010010000 1000000100 1010000000\n", "3\n2 5 8\n", "3\n1000000010 1000000000 11010001\n", "5\n1000001000 0 1 1 3\n", "4\n1100000100 1000000000 1000000100 1000000001\n", "3\n544084435 834056477 260275253\n", "5\n1010000000 1000000000 1010010000 1000000100 1010000000\n", "3\n2 1 2\n", "5\n1000000000 5 5 1 4\n", "4\n2 3 2 2\n", "4\n0 2 3 0\n", "10\n94 96 91 95 99 94 96 152 95 122\n", "10\n13 12 17 13 13 14 10 10 10 12\n", "3\n1 2 2\n", "3\n2 1 3\n", "5\n1000000000 0 1 1 2\n", "5\n1000000000 10 5 1 4\n", "4\n2 3 2 3\n", "4\n0 2 0 0\n", "10\n52 96 91 95 99 94 96 152 95 122\n", "3\n2 2 2\n", "3\n2 2 3\n", "7\n9 10 7 8 8 7 1\n", "100\n1 555 876 444 262 234 231 598 416 261 206 165 181 988 469 123 602 592 533 149 864 716 831 156 962 341 207 377 892 51 866 96 757 317 832 476 549 472 770 1000 887 145 956 515 992 653 972 677 973 527 1384 559 280 346 580 30 372 547 209 929 492 520 446 726 47 170 699 560 814 206 688 955 308 287 26 102 77 430 262 71 415 586 532 786 419 615 732 658 108 315 268 574 86 12 23 429 640 995 342 305\n", "5\n1000000000 0 1 1 3\n", "3\n4 4 1\n", "4\n2 3 3 3\n", "4\n0 4 0 0\n", "10\n25 96 91 95 99 94 96 152 95 122\n", "10\n20 8 17 13 13 14 10 10 10 12\n", "3\n2 4 2\n", "3\n2 2 1\n", "7\n9 1 7 8 8 7 1\n", "30\n94 93 90 94 90 91 93 91 93 94 93 90 100 94 133 94 94 95 94 96 94 122 138 95 97 91 91 95 98 96\n", "100\n1 71 876 444 262 234 231 598 416 261 206 165 181 988 469 123 602 592 533 149 864 716 831 156 962 341 207 377 892 51 866 96 757 317 832 476 549 472 770 1000 887 145 956 515 992 653 972 677 973 527 1384 559 280 346 580 30 372 547 209 929 492 520 446 726 47 170 699 560 814 206 688 955 308 287 26 102 77 430 262 71 415 586 532 786 419 615 732 658 108 315 268 574 86 12 23 429 640 995 342 305\n", "5\n1000010000 10 5 1 0\n", "3\n7 4 1\n", "4\n2 3 0 3\n", "4\n0 2 1 0\n", "10\n25 96 91 27 99 94 96 152 95 122\n", "10\n20 8 17 13 13 14 3 10 10 12\n" ], "output": [ "4\n", "3\n", "4\n", "1250000000\n", "106\n", "14\n", "2\n", "2\n", "13\n", "9\n", "1005000000\n", "100\n", "2\n", "1000\n", "1000000000\n", "1333333334\n", "1032554216\n", "1000000000\n", "3\n", "1250002500\n", "152\n", "17\n", "2\n", "10\n", "16\n", "1005500000\n", "122\n", "1\n", "1000\n", "1000000000\n", "1333333334\n", "1294220588\n", "5\n", "1252502500\n", "7\n", "9\n", "1005505000\n", "138\n", "1384\n", "1366666667\n", "1161857834\n", "4\n", "1252502525\n", "20\n", "6\n", "1005505005\n", "180\n", "1366666701\n", "1094961840\n", "1000010000\n", "1255002525\n", "8\n", "1005505006\n", "1000001000\n", "1366666734\n", "834056477\n", "1257502525\n", "3\n", "1000000000\n", "3\n", "3\n", "152\n", "17\n", "3\n", "3\n", "1000000000\n", "1000000000\n", "4\n", "2\n", "152\n", "3\n", "4\n", "10\n", "1384\n", "1000000000\n", "5\n", "4\n", "4\n", "152\n", "20\n", "4\n", "3\n", "9\n", "138\n", "1384\n", "1000010000\n", "7\n", "3\n", "2\n", "152\n", "20\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: One day n friends gathered together to play "Mafia". During each round of the game some player must be the supervisor and other n - 1 people take part in the game. For each person we know in how many rounds he wants to be a player, not the supervisor: the i-th person wants to play ai rounds. What is the minimum number of rounds of the "Mafia" game they need to play to let each person play at least as many rounds as they want? Input The first line contains integer n (3 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the i-th number in the list is the number of rounds the i-th person wants to play. Output In a single line print a single integer — the minimum number of game rounds the friends need to let the i-th person play at least ai rounds. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 3 3 2 2 Output 4 Input 4 2 2 2 2 Output 3 Note You don't need to know the rules of "Mafia" to solve this problem. If you're curious, it's a game Russia got from the Soviet times: http://en.wikipedia.org/wiki/Mafia_(party_game). ### Input: 3 3 2 2 ### Output: 4 ### Input: 4 2 2 2 2 ### Output: 3 ### Code: def ceil(x): if int(x) != x: return int(x+1) else: return int(x) def mafia(): n = int(input()) rounds = list(map(int, str(input()).split())) count = 0 rounds.sort(reverse=True) for i in range(n-1, 0, -1): if rounds[i-1] == rounds[i]: continue else: steps = n - i count += steps*(rounds[i-1] - rounds[i]) rounds[0] -= count if rounds[0] > 0: k = ceil(rounds[0] / (n - 1)) count += n * k rounds[0] += k * (1 - n) if rounds[0] <= 0: count += rounds[0] print(count) if __name__ == '__main__': mafia()
394_A. Counting Sticks_34633
When new students come to the Specialized Educational and Scientific Centre (SESC) they need to start many things from the beginning. Sometimes the teachers say (not always unfairly) that we cannot even count. So our teachers decided to teach us arithmetics from the start. And what is the best way to teach students add and subtract? — That's right, using counting sticks! An here's our new task: An expression of counting sticks is an expression of type: [ A sticks][sign +][B sticks][sign =][C sticks] (1 ≤ A, B, C). Sign + consists of two crossed sticks: one vertical and one horizontal. Sign = consists of two horizontal sticks. The expression is arithmetically correct if A + B = C. We've got an expression that looks like A + B = C given by counting sticks. Our task is to shift at most one stick (or we can shift nothing) so that the expression became arithmetically correct. Note that we cannot remove the sticks from the expression, also we cannot shift the sticks from the signs + and =. We really aren't fabulous at arithmetics. Can you help us? Input The single line contains the initial expression. It is guaranteed that the expression looks like A + B = C, where 1 ≤ A, B, C ≤ 100. Output If there isn't a way to shift the stick so the expression becomes correct, print on a single line "Impossible" (without the quotes). If there is a way, print the resulting expression. Follow the format of the output from the test samples. Don't print extra space characters. If there are multiple correct answers, print any of them. For clarifications, you are recommended to see the test samples. Examples Input ||+|=||||| Output |||+|=|||| Input |||||+||=|| Output Impossible Input |+|=|||||| Output Impossible Input ||||+||=|||||| Output ||||+||=|||||| Note In the first sample we can shift stick from the third group of sticks to the first one. In the second sample we cannot shift vertical stick from + sign to the second group of sticks. So we cannot make a - sign. There is no answer in the third sample because we cannot remove sticks from the expression. In the forth sample the initial expression is already arithmetically correct and that is why we don't have to shift sticks.
v = input().split('+') a = len(v[0]) v = v[1].split('=') b = len(v[0]) c = len(v[1]) def good(a, b, c): return a+b==c and a>0 and b>0 and c>0 if good(a-1, b, c+1): a = a-1 c = c+1 if good(a, b-1, c+1): b = b-1 c = c+1 if good(a+1, b, c-1): a = a+1 c = c-1 if good(a, b+1, c-1): b = b+1 c = c-1 if a+b==c: print('|'*a+'+'+'|'*b+'='+'|'*c) else: print("Impossible")
{ "input": [ "|+|=||||||\n", "|||||+||=||\n", "||+|=|||||\n", "||||+||=||||||\n", "|+||||||=|||||\n", "|||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|+|=||||\n", "||||||||||||||||||+||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||\n", "|||+|||=||||\n", "|||||+|||||=||||||||||||\n", "||||||||||||+|||||||||||=||||||||||||||||||||||\n", "||+|=||||||\n", "||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|+|||||=||||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|||||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||||||||||||||||||||||||=|\n", "||||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+|=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=|\n", "||+|||=|||\n", "||+||=||\n", "|+||=|\n", "|||||||||||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||||||=|||||||||||||||||||||||||\n", "|||||+||=||||||||||\n", "||+|||=|||||||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|+|||=||\n", "|||||||||||||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||+||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|||||||||||||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||||||||||||||||||||||||||||||=|\n", "|+||||=|||\n", "|||+|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|+|=|||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||+|=|\n", "||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||||+|||=|||||\n", "||+|||||||=|||||||\n", "|+|=||\n", "||+||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|||+|=|\n", "||||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||||=|\n", "||||+||||=||||||\n", "|+|=|\n", "||||+|||||||=|||\n", "|+||=|||\n", "|+|||||||||=\n", "|||+||||=||||||||||\n", "||+||||||||=\n", "|||||||+|||=\n", "|||||+||=|}\n", "||||+|||||||=||}\n", "||||+||||||=\n", "|||+|||||||=\n", "|{|+|||||||=\n", "|+=|||||||||||\n", "|||||+|=||\n", "|||||+|=||}\n", "|||+||||||}=\n", "||||||||||||||||||+||||||=||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "||||||||+||=\n", "|}|+|||||||=\n", "|+|=||||||||||\n", "|||||+|=||~\n", "|}||||||+||=\n", "|||+=|||||||\n", "|+|||=|\n", "||+||||||{|=\n", "|+|||||=\n", "+||||||=||\n", "|+{||||=\n", "||+||=|\n", "|}+||||||||=\n", "|}|+||||||}=\n", "||+|=||\n", "|||+||=\n", "||+|}||||||=\n", "||||+|||||{=\n", "}||+|||||||=\n", "||||||||||+=\n", "|}|+|||||}}=\n", "|~|+|||||}}=\n", "||+|||=||||\n", "||||||+|=||||||||||\n" ], "output": [ "Impossible\n", "Impossible\n", "|||+|=||||\n", "||||+||=||||||\n", "|+|||||=||||||\n", "Impossible\n", "||+|=|||\n", "Impossible\n", "||+|||=|||||\n", "||||||+|||||=|||||||||||\n", "Impossible\n", "Impossible\n", "|||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "Impossible\n", "Impossible\n", "|+||||=|||||\n", "|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "Impossible\n", "|||||||||||||||||||||||||||||||||||||||||||||||||||+||||||||||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+|=||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "Impossible\n", "|+|||=||||\n", "|+||=|||\n", "|+|=||\n", "Impossible\n", "Impossible\n", "|||+|||=||||||\n", "Impossible\n", "|+||=|||\n", "||||||||||||||||||||||||||||||||||||||||||||||||||+|||||||||||||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|+||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "Impossible\n", "|+|||=||||\n", "||+|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "Impossible\n", "|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||+||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "|+|=||\n", "Impossible\n", "|||+|||=||||||\n", "|+|||||||=||||||||\n", "|+|=||\n", "|+||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||=|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||\n", "Impossible\n", "Impossible\n", "|||+||||=|||||||\n", "Impossible\n", "Impossible\n", "|+||=|||\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n", "Impossible\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: When new students come to the Specialized Educational and Scientific Centre (SESC) they need to start many things from the beginning. Sometimes the teachers say (not always unfairly) that we cannot even count. So our teachers decided to teach us arithmetics from the start. And what is the best way to teach students add and subtract? — That's right, using counting sticks! An here's our new task: An expression of counting sticks is an expression of type: [ A sticks][sign +][B sticks][sign =][C sticks] (1 ≤ A, B, C). Sign + consists of two crossed sticks: one vertical and one horizontal. Sign = consists of two horizontal sticks. The expression is arithmetically correct if A + B = C. We've got an expression that looks like A + B = C given by counting sticks. Our task is to shift at most one stick (or we can shift nothing) so that the expression became arithmetically correct. Note that we cannot remove the sticks from the expression, also we cannot shift the sticks from the signs + and =. We really aren't fabulous at arithmetics. Can you help us? Input The single line contains the initial expression. It is guaranteed that the expression looks like A + B = C, where 1 ≤ A, B, C ≤ 100. Output If there isn't a way to shift the stick so the expression becomes correct, print on a single line "Impossible" (without the quotes). If there is a way, print the resulting expression. Follow the format of the output from the test samples. Don't print extra space characters. If there are multiple correct answers, print any of them. For clarifications, you are recommended to see the test samples. Examples Input ||+|=||||| Output |||+|=|||| Input |||||+||=|| Output Impossible Input |+|=|||||| Output Impossible Input ||||+||=|||||| Output ||||+||=|||||| Note In the first sample we can shift stick from the third group of sticks to the first one. In the second sample we cannot shift vertical stick from + sign to the second group of sticks. So we cannot make a - sign. There is no answer in the third sample because we cannot remove sticks from the expression. In the forth sample the initial expression is already arithmetically correct and that is why we don't have to shift sticks. ### Input: |+|=|||||| ### Output: Impossible ### Input: |||||+||=|| ### Output: Impossible ### Code: v = input().split('+') a = len(v[0]) v = v[1].split('=') b = len(v[0]) c = len(v[1]) def good(a, b, c): return a+b==c and a>0 and b>0 and c>0 if good(a-1, b, c+1): a = a-1 c = c+1 if good(a, b-1, c+1): b = b-1 c = c+1 if good(a+1, b, c-1): a = a+1 c = c-1 if good(a, b+1, c-1): b = b+1 c = c-1 if a+b==c: print('|'*a+'+'+'|'*b+'='+'|'*c) else: print("Impossible")
417_B. Crash_34637
During the "Russian Code Cup" programming competition, the testing system stores all sent solutions for each participant. We know that many participants use random numbers in their programs and are often sent several solutions with the same source code to check. Each participant is identified by some unique positive integer k, and each sent solution A is characterized by two numbers: x — the number of different solutions that are sent before the first solution identical to A, and k — the number of the participant, who is the author of the solution. Consequently, all identical solutions have the same x. It is known that the data in the testing system are stored in the chronological order, that is, if the testing system has a solution with number x (x > 0) of the participant with number k, then the testing system has a solution with number x - 1 of the same participant stored somewhere before. During the competition the checking system crashed, but then the data of the submissions of all participants have been restored. Now the jury wants to verify that the recovered data is in chronological order. Help the jury to do so. Input The first line of the input contains an integer n (1 ≤ n ≤ 105) — the number of solutions. Each of the following n lines contains two integers separated by space x and k (0 ≤ x ≤ 105; 1 ≤ k ≤ 105) — the number of previous unique solutions and the identifier of the participant. Output A single line of the output should contain «YES» if the data is in chronological order, and «NO» otherwise. Examples Input 2 0 1 1 1 Output YES Input 4 0 1 1 2 1 1 0 2 Output NO Input 4 0 1 1 1 0 1 0 2 Output YES
def readln(): return tuple(map(int, input().split())) n, = readln() max_pref = [-1] * 100001 flag = True for _ in range(n): x, k = readln() flag &= max_pref[k] + 1 >= x max_pref[k] = max(max_pref[k], x) print('YES' if flag else 'NO')
{ "input": [ "2\n0 1\n1 1\n", "4\n0 1\n1 2\n1 1\n0 2\n", "4\n0 1\n1 1\n0 1\n0 2\n", "5\n0 1\n1 1\n2 1\n0 1\n4 1\n", "3\n0 1\n0 1\n2 1\n", "4\n0 1\n0 2\n1 1\n1 2\n", "6\n0 1\n1 1\n2 1\n3 1\n4 1\n2 1\n", "7\n0 2\n0 3\n0 2\n0 1\n0 10\n1 10\n0 5\n", "6\n0 1\n1 1\n2 1\n1 1\n2 1\n4 1\n", "3\n7 9\n5 8\n8 2\n", "2\n0 8\n0 5\n", "5\n0 1\n1 1\n2 1\n3 1\n1 1\n", "4\n0 1\n1 100000\n1 1\n0 100000\n", "3\n0 1\n0 2\n1 1\n", "4\n0 1\n0 2\n1 1\n2 1\n", "6\n0 1\n1 1\n2 1\n0 1\n3 1\n4 1\n", "1\n0 8\n", "5\n8 10\n7 9\n5 6\n5 2\n10 7\n", "4\n7 1\n4 2\n8 2\n1 8\n", "2\n99 1\n99 1\n", "4\n0 1\n1 1\n0 1\n2 1\n", "1\n2 1\n", "1\n1 100000\n", "5\n0 1\n1 1\n2 1\n1 1\n3 1\n", "5\n0 1\n1 1\n2 1\n0 1\n1 1\n", "3\n0 1\n0 1\n2 2\n", "4\n0 1\n0 2\n1 1\n0 2\n", "6\n0 1\n1 1\n2 1\n3 1\n4 1\n2 2\n", "7\n0 2\n0 5\n0 2\n0 1\n0 10\n1 10\n0 5\n", "6\n0 1\n1 1\n2 1\n1 2\n2 1\n4 1\n", "3\n7 9\n1 8\n8 2\n", "2\n0 8\n0 3\n", "5\n0 1\n1 1\n3 1\n3 1\n1 1\n", "4\n0 1\n1 100000\n1 2\n0 100000\n", "3\n0 1\n0 3\n1 1\n", "4\n0 1\n0 2\n1 1\n2 2\n", "6\n0 1\n1 1\n2 1\n0 1\n3 1\n0 1\n", "1\n0 6\n", "5\n8 10\n7 8\n5 6\n5 2\n10 7\n", "4\n7 1\n4 2\n8 2\n0 8\n", "4\n0 1\n1 1\n0 1\n4 1\n", "5\n1 1\n1 1\n2 1\n1 1\n3 1\n", "2\n0 2\n1 1\n", "4\n0 2\n0 2\n1 1\n0 2\n", "4\n0 1\n1 1\n0 1\n0 4\n", "5\n0 1\n2 1\n2 1\n0 1\n1 1\n", "3\n0 1\n0 1\n2 3\n", "6\n1 1\n1 1\n2 1\n1 2\n2 1\n4 1\n", "2\n0 6\n0 3\n", "5\n0 1\n1 1\n3 1\n3 2\n1 1\n", "4\n0 1\n2 100000\n1 2\n0 100000\n", "4\n0 2\n0 2\n1 1\n2 2\n", "1\n0 10\n", "5\n8 10\n7 8\n6 6\n5 2\n10 7\n", "4\n7 2\n4 2\n8 2\n0 8\n", "4\n0 1\n1 2\n0 1\n4 1\n", "5\n1 1\n2 1\n2 1\n1 1\n3 1\n", "2\n0 3\n1 1\n", "5\n0 1\n2 1\n2 2\n0 1\n1 1\n", "3\n0 1\n0 1\n2 6\n", "6\n1 1\n1 1\n2 1\n1 2\n2 1\n4 2\n", "2\n0 6\n0 4\n", "5\n0 1\n1 1\n3 1\n3 2\n2 1\n", "4\n1 1\n2 100000\n1 2\n0 100000\n", "5\n8 10\n10 8\n6 6\n5 2\n10 7\n", "4\n7 2\n0 2\n8 2\n0 8\n", "5\n1 2\n2 1\n2 1\n1 1\n3 1\n", "2\n0 1\n0 1\n", "5\n0 1\n2 1\n2 3\n0 1\n1 1\n", "3\n0 2\n0 1\n2 6\n", "6\n1 1\n1 1\n2 1\n1 1\n2 1\n4 2\n", "4\n1 2\n2 100000\n1 2\n0 100000\n", "5\n8 10\n10 3\n6 6\n5 2\n10 7\n", "4\n7 2\n0 2\n10 2\n0 8\n", "5\n1 2\n2 2\n2 1\n1 1\n3 1\n", "5\n0 1\n2 1\n2 3\n0 1\n1 2\n", "3\n0 2\n0 1\n4 6\n", "6\n1 2\n1 1\n2 1\n1 1\n2 1\n4 2\n", "4\n1 2\n2 100000\n1 2\n-1 100000\n", "5\n8 16\n10 3\n6 6\n5 2\n10 7\n", "4\n7 3\n0 2\n10 2\n0 8\n", "5\n0 2\n2 2\n2 1\n1 1\n3 1\n", "5\n0 1\n4 1\n2 3\n0 1\n1 2\n", "3\n0 4\n0 1\n4 6\n", "5\n10 16\n10 3\n6 6\n5 2\n10 7\n", "4\n7 3\n1 2\n10 2\n0 8\n", "5\n0 2\n2 2\n1 1\n1 1\n3 1\n", "5\n0 1\n4 1\n2 3\n-1 1\n1 2\n", "3\n0 4\n0 1\n4 10\n", "5\n10 16\n10 3\n1 6\n5 2\n10 7\n", "4\n11 3\n1 2\n10 2\n0 8\n", "5\n0 2\n2 2\n1 1\n0 1\n3 1\n", "3\n0 4\n0 1\n4 11\n", "5\n10 16\n10 3\n1 6\n5 3\n10 7\n" ], "output": [ "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: During the "Russian Code Cup" programming competition, the testing system stores all sent solutions for each participant. We know that many participants use random numbers in their programs and are often sent several solutions with the same source code to check. Each participant is identified by some unique positive integer k, and each sent solution A is characterized by two numbers: x — the number of different solutions that are sent before the first solution identical to A, and k — the number of the participant, who is the author of the solution. Consequently, all identical solutions have the same x. It is known that the data in the testing system are stored in the chronological order, that is, if the testing system has a solution with number x (x > 0) of the participant with number k, then the testing system has a solution with number x - 1 of the same participant stored somewhere before. During the competition the checking system crashed, but then the data of the submissions of all participants have been restored. Now the jury wants to verify that the recovered data is in chronological order. Help the jury to do so. Input The first line of the input contains an integer n (1 ≤ n ≤ 105) — the number of solutions. Each of the following n lines contains two integers separated by space x and k (0 ≤ x ≤ 105; 1 ≤ k ≤ 105) — the number of previous unique solutions and the identifier of the participant. Output A single line of the output should contain «YES» if the data is in chronological order, and «NO» otherwise. Examples Input 2 0 1 1 1 Output YES Input 4 0 1 1 2 1 1 0 2 Output NO Input 4 0 1 1 1 0 1 0 2 Output YES ### Input: 2 0 1 1 1 ### Output: YES ### Input: 4 0 1 1 2 1 1 0 2 ### Output: NO ### Code: def readln(): return tuple(map(int, input().split())) n, = readln() max_pref = [-1] * 100001 flag = True for _ in range(n): x, k = readln() flag &= max_pref[k] + 1 >= x max_pref[k] = max(max_pref[k], x) print('YES' if flag else 'NO')
443_E. Artem and Array _34641
Artem has an array of n positive integers. Artem decided to play with it. The game consists of n moves. Each move goes like this. Artem chooses some element of the array and removes it. For that, he gets min(a, b) points, where a and b are numbers that were adjacent with the removed number. If the number doesn't have an adjacent number to the left or right, Artem doesn't get any points. After the element is removed, the two parts of the array glue together resulting in the new array that Artem continues playing with. Borya wondered what maximum total number of points Artem can get as he plays this game. Input The first line contains a single integer n (1 ≤ n ≤ 5·105) — the number of elements in the array. The next line contains n integers ai (1 ≤ ai ≤ 106) — the values of the array elements. Output In a single line print a single integer — the maximum number of points Artem can get. Examples Input 5 3 1 5 2 6 Output 11 Input 5 1 2 3 4 5 Output 6 Input 5 1 100 101 100 1 Output 102
n = input() s = [] a = 0 for i in map(int, input().split()): while len(s) > 1 and min(s[-2], i)>=s[-1]: a += min(i, s[-2]) del(s[-1]) s.append(i) s.sort() print(a + sum(s[0: -2]))
{ "input": [ "5\n1 100 101 100 1\n", "5\n1 2 3 4 5\n", "5\n3 1 5 2 6\n", "1\n4\n", "1\n87\n", "3\n1 2 1\n", "9\n72 49 39 50 68 35 75 94 56\n", "2\n93 51\n", "2\n3 1\n", "8\n77 84 26 34 17 56 76 3\n", "5\n2 6 2 1 2\n", "10\n4 2 2 4 1 2 2 4 2 1\n", "7\n2 1 2 2 2 2 2\n", "6\n1 7 3 1 6 2\n", "6\n46 30 38 9 65 23\n", "9\n4 5 2 2 3 1 3 3 5\n", "4\n86 21 58 60\n", "4\n2 3 1 2\n", "3\n31 19 5\n", "10\n96 66 8 18 30 48 34 11 37 42\n", "7\n82 60 92 4 2 13 15\n", "8\n3 4 3 1 1 3 4 1\n", "5\n21 6 54 69 32\n", "1\n7\n", "3\n2 2 1\n", "9\n72 49 32 50 68 35 75 94 56\n", "8\n77 84 26 34 30 56 76 3\n", "6\n1 7 2 1 6 2\n", "6\n46 30 76 9 65 23\n", "9\n4 5 2 2 6 1 3 3 5\n", "4\n86 21 105 60\n", "3\n31 19 9\n", "7\n82 60 92 4 2 13 18\n", "5\n21 12 54 69 32\n", "5\n3 1 10 2 6\n", "9\n72 9 32 50 68 35 75 94 56\n", "8\n19 84 26 34 30 56 76 3\n", "9\n4 4 2 2 6 1 3 3 5\n", "5\n21 12 54 69 30\n", "5\n4 1 10 2 6\n", "9\n72 9 32 50 68 35 2 94 56\n", "8\n19 84 26 34 30 70 76 3\n", "6\n15 30 133 9 65 23\n", "9\n4 4 2 2 4 1 3 3 5\n", "4\n84 27 105 60\n", "3\n32 19 18\n", "8\n25 84 26 34 30 70 76 3\n", "6\n15 30 58 9 65 23\n", "9\n4 4 2 2 4 1 3 3 1\n", "4\n84 27 105 93\n", "3\n32 19 30\n", "1\n126\n", "2\n105 51\n", "1\n9\n", "1\n214\n", "3\n2 1 1\n", "2\n27 51\n", "6\n46 30 133 9 65 23\n", "4\n86 27 105 60\n", "3\n32 19 9\n", "7\n82 60 92 4 2 21 18\n", "1\n17\n", "1\n219\n", "2\n27 20\n", "7\n82 60 92 1 2 21 18\n", "5\n21 12 54 110 30\n", "5\n4 1 13 2 6\n", "1\n10\n", "1\n64\n", "9\n72 4 32 50 68 35 2 94 56\n", "2\n27 4\n", "7\n82 60 92 2 2 21 18\n" ], "output": [ " 102\n", " 6\n", " 11\n", " 0\n", " 0\n", " 1\n", " 435\n", " 0\n", " 0\n", " 279\n", " 6\n", " 21\n", " 10\n", " 12\n", " 145\n", " 23\n", " 118\n", " 4\n", " 5\n", " 299\n", " 129\n", " 15\n", " 74\n", "0\n", "1\n", "435\n", "279\n", "11\n", "180\n", "27\n", "146\n", "9\n", "135\n", "74\n", "12\n", "418\n", "222\n", "25\n", "72\n", "14\n", "381\n", "236\n", "133\n", "24\n", "144\n", "18\n", "242\n", "126\n", "20\n", "168\n", "30\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "180\n", "146\n", "9\n", "146\n", "0\n", "0\n", "0\n", "144\n", "72\n", "14\n", "0\n", "0\n", "381\n", "0\n", "144\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Artem has an array of n positive integers. Artem decided to play with it. The game consists of n moves. Each move goes like this. Artem chooses some element of the array and removes it. For that, he gets min(a, b) points, where a and b are numbers that were adjacent with the removed number. If the number doesn't have an adjacent number to the left or right, Artem doesn't get any points. After the element is removed, the two parts of the array glue together resulting in the new array that Artem continues playing with. Borya wondered what maximum total number of points Artem can get as he plays this game. Input The first line contains a single integer n (1 ≤ n ≤ 5·105) — the number of elements in the array. The next line contains n integers ai (1 ≤ ai ≤ 106) — the values of the array elements. Output In a single line print a single integer — the maximum number of points Artem can get. Examples Input 5 3 1 5 2 6 Output 11 Input 5 1 2 3 4 5 Output 6 Input 5 1 100 101 100 1 Output 102 ### Input: 5 1 100 101 100 1 ### Output: 102 ### Input: 5 1 2 3 4 5 ### Output: 6 ### Code: n = input() s = [] a = 0 for i in map(int, input().split()): while len(s) > 1 and min(s[-2], i)>=s[-1]: a += min(i, s[-2]) del(s[-1]) s.append(i) s.sort() print(a + sum(s[0: -2]))
466_A. Cheap Travel_34645
Ann has recently started commuting by subway. We know that a one ride subway ticket costs a rubles. Besides, Ann found out that she can buy a special ticket for m rides (she can buy it several times). It costs b rubles. Ann did the math; she will need to use subway n times. Help Ann, tell her what is the minimum sum of money she will have to spend to make n rides? Input The single line contains four space-separated integers n, m, a, b (1 ≤ n, m, a, b ≤ 1000) — the number of rides Ann has planned, the number of rides covered by the m ride ticket, the price of a one ride ticket and the price of an m ride ticket. Output Print a single integer — the minimum sum in rubles that Ann will need to spend. Examples Input 6 2 1 2 Output 6 Input 5 2 2 3 Output 8 Note In the first sample one of the optimal solutions is: each time buy a one ride ticket. There are other optimal solutions. For example, buy three m ride tickets.
inp = input().split() n = int(inp[0]) m = int(inp[1]) a = int(inp[2]) b = int(inp[3]) sumary = min(b,a*m) print(min((sumary)*(n//m + 1), sumary*(n // m) + (n - (n//m)*m) * a ))
{ "input": [ "5 2 2 3\n", "6 2 1 2\n", "6 4 1 3\n", "1 1000 1 2\n", "101 110 1 100\n", "1000 3 1000 1000\n", "100 8 10 1\n", "477 2 16 14\n", "9 3 3 10\n", "1000 1 1000 1000\n", "10 2 1 1\n", "1000 2 1 1000\n", "995 1 2 1\n", "556 2 16 15\n", "10 3 5 1\n", "1 1 1 1\n", "10 3 1 2\n", "8 5 2 8\n", "1 1000 3 2\n", "6 4 1 2\n", "101 110 1 101\n", "1000 3 1001 1000\n", "100 8 11 1\n", "9 3 3 2\n", "300 2 16 15\n", "2 3 5 1\n", "17 3 1 2\n", "8 4 2 8\n", "1 1000 4 2\n", "5 4 2 3\n", "300 1 16 15\n", "3 4 2 3\n", "101 15 11 1\n", "111 15 11 1\n", "1000 5 1000 1000\n", "100 6 10 1\n", "70 2 16 14\n", "9 3 3 5\n", "1198 1 2 1\n", "961 2 16 15\n", "111 110 1 101\n", "1010 3 1001 1000\n", "240 2 16 15\n", "101 15 11 2\n", "9 1 5 2\n", "100 6 10 2\n", "441 1 2 1\n", "961 2 16 17\n", "300 1 25 23\n", "100 4 10 2\n", "441 2 2 1\n", "961 4 16 17\n", "8 7 2 8\n", "15 1 9 2\n", "1000 5 1011 1010\n", "100 5 10 2\n", "461 2 2 1\n", "961 6 16 17\n", "15 1 9 4\n", "961 6 16 10\n", "18 4 10 4\n", "1000 4 1010 1010\n", "961 5 16 10\n", "31 4 10 4\n", "101 8 11 2\n", "22 1 19 1\n", "1000 4 1010 1011\n", "101 8 11 1\n", "9 3 5 2\n", "1 1000 8 2\n", "9 3 5 1\n", "1 1000 8 1\n", "9 4 5 1\n", "1 1000 4 1\n", "9 4 5 2\n", "9 4 2 2\n", "9 4 2 1\n", "1 1100 1 2\n", "18 3 5 1\n", "10 3 2 2\n", "9 3 3 4\n", "2 4 5 1\n", "12 3 1 2\n", "8 4 4 8\n", "1 1010 4 2\n", "9 6 5 2\n", "300 1 25 15\n", "3 4 4 3\n", "1 1001 8 1\n", "12 4 5 1\n", "1 1000 5 1\n", "9 4 1 1\n", "1000 5 1001 1000\n", "70 2 10 14\n", "18 3 10 1\n", "111 110 1 100\n", "12 3 1 1\n", "8 7 4 8\n", "101 19 11 2\n", "1 1001 11 1\n", "12 1 5 1\n", "1 1000 2 1\n", "9 1 9 2\n", "1000 5 1011 1000\n", "70 2 13 14\n", "18 4 10 1\n", "101 16 11 2\n", "1 1001 11 2\n", "13 1 5 1\n", "18 4 10 2\n", "6 7 2 8\n", "101 13 11 2\n", "13 1 10 1\n", "1000 5 1010 1010\n", "101 14 11 2\n", "13 1 19 1\n", "60 4 10 4\n", "101 8 14 2\n" ], "output": [ "8\n", "6\n", "5\n", "1\n", "100\n", "334000\n", "13\n", "3346\n", "27\n", "1000000\n", "5\n", "1000\n", "995\n", "4170\n", "4\n", "1\n", "7\n", "14\n", "2\n", "4\n", "101\n", "334000\n", "13\n", "6\n", "2250\n", "1\n", "12\n", "16\n", "2\n", "5\n", "4500\n", "3\n", "7\n", "8\n", "200000\n", "17\n", "490\n", "15\n", "1198\n", "7215\n", "102\n", "337000\n", "1800\n", "14\n", "18\n", "34\n", "441\n", "8176\n", "6900\n", "50\n", "221\n", "4096\n", "10\n", "30\n", "202000\n", "40\n", "231\n", "2736\n", "60\n", "1610\n", "20\n", "252500\n", "1930\n", "32\n", "26\n", "22\n", "252750\n", "13\n", "6\n", "2\n", "3\n", "1\n", "3\n", "1\n", "6\n", "6\n", "3\n", "1\n", "6\n", "8\n", "12\n", "1\n", "8\n", "16\n", "2\n", "4\n", "4500\n", "3\n", "1\n", "3\n", "1\n", "3\n", "200000\n", "490\n", "6\n", "101\n", "4\n", "12\n", "12\n", "1\n", "12\n", "1\n", "18\n", "200000\n", "490\n", "5\n", "14\n", "2\n", "13\n", "10\n", "8\n", "16\n", "13\n", "202000\n", "16\n", "13\n", "60\n", "26\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Ann has recently started commuting by subway. We know that a one ride subway ticket costs a rubles. Besides, Ann found out that she can buy a special ticket for m rides (she can buy it several times). It costs b rubles. Ann did the math; she will need to use subway n times. Help Ann, tell her what is the minimum sum of money she will have to spend to make n rides? Input The single line contains four space-separated integers n, m, a, b (1 ≤ n, m, a, b ≤ 1000) — the number of rides Ann has planned, the number of rides covered by the m ride ticket, the price of a one ride ticket and the price of an m ride ticket. Output Print a single integer — the minimum sum in rubles that Ann will need to spend. Examples Input 6 2 1 2 Output 6 Input 5 2 2 3 Output 8 Note In the first sample one of the optimal solutions is: each time buy a one ride ticket. There are other optimal solutions. For example, buy three m ride tickets. ### Input: 5 2 2 3 ### Output: 8 ### Input: 6 2 1 2 ### Output: 6 ### Code: inp = input().split() n = int(inp[0]) m = int(inp[1]) a = int(inp[2]) b = int(inp[3]) sumary = min(b,a*m) print(min((sumary)*(n//m + 1), sumary*(n // m) + (n - (n//m)*m) * a ))
489_E. Hiking_34648
A traveler is planning a water hike along the river. He noted the suitable rest points for the night and wrote out their distances from the starting point. Each of these locations is further characterized by its picturesqueness, so for the i-th rest point the distance from the start equals xi, and its picturesqueness equals bi. The traveler will move down the river in one direction, we can assume that he will start from point 0 on the coordinate axis and rest points are points with coordinates xi. Every day the traveler wants to cover the distance l. In practice, it turns out that this is not always possible, because he needs to end each day at one of the resting points. In addition, the traveler is choosing between two desires: cover distance l every day and visit the most picturesque places. Let's assume that if the traveler covers distance rj in a day, then he feels frustration <image>, and his total frustration over the hike is calculated as the total frustration on all days. Help him plan the route so as to minimize the relative total frustration: the total frustration divided by the total picturesqueness of all the rest points he used. The traveler's path must end in the farthest rest point. Input The first line of the input contains integers n, l (1 ≤ n ≤ 1000, 1 ≤ l ≤ 105) — the number of rest points and the optimal length of one day path. Then n lines follow, each line describes one rest point as a pair of integers xi, bi (1 ≤ xi, bi ≤ 106). No two rest points have the same xi, the lines are given in the order of strictly increasing xi. Output Print the traveler's path as a sequence of the numbers of the resting points he used in the order he used them. Number the points from 1 to n in the order of increasing xi. The last printed number must be equal to n. Examples Input 5 9 10 10 20 10 30 1 31 5 40 10 Output 1 2 4 5 Note In the sample test the minimum value of relative total frustration approximately equals 0.097549. This value can be calculated as <image>.
import os import sys if os.path.exists(r'C:\Users\User\codeforces'): f = iter(open('A.txt').readlines()) def input(): return next(f).strip() # input = lambda: sys.stdin.readline().strip() else: input = lambda: sys.stdin.readline().strip() fprint = lambda *args: print(*args, flush=True) from math import sqrt n, l = map(int, input().split()) x, b = [0], [0] for _ in range(n): u, v = map(int, input().split()) x.append(u) b.append(v) def check(V): values = [2*10**9] * (n+1) values[0] = 0 for i in range(1, n+1): for p in range(i): values[i] = min(values[i], values[p] + sqrt(abs(x[i]-x[p]-l)) - V * b[i]) return values[-1] <= 0 def get(V): values = [2*10**9] * (n+1) values[0] = 0 prev = [-1] * (n+1) for i in range(1, n+1): for p in range(i): q = values[p] + sqrt(abs(x[i]-x[p]-l)) - V * b[i] if q < values[i]: prev[i] = p values[i] = q res = [n] while res[-1] != 0: res.append(prev[res[-1]]) res.pop() return res eps = 1e-9 R, L = 10**3+1, 0 while R - L > eps: # print(R, L) m = (R+L)/2 if check(m): R = m else: L = m print(' '.join(map(str, reversed(get(R)))))
{ "input": [ "5 9\n10 10\n20 10\n30 1\n31 5\n40 10\n", "13 6\n7 75\n8 84\n16 95\n29 21\n49 33\n54 56\n55 80\n65 63\n67 50\n73 47\n80 26\n82 74\n86 77\n", "3 2\n2 6\n3 9\n6 8\n", "19 2\n1 73\n2 96\n3 24\n5 96\n11 13\n14 96\n16 31\n17 60\n34 69\n39 41\n60 40\n61 96\n66 7\n67 56\n68 28\n73 12\n74 81\n78 77\n95 99\n", "5 1\n2 3\n5 4\n7 9\n8 10\n10 7\n", "1 20\n9 1\n", "15 9\n5 84\n15 84\n22 60\n31 18\n37 2\n42 80\n48 88\n58 61\n77 55\n79 11\n80 25\n87 6\n93 71\n96 26\n99 38\n", "17 10\n1 73\n2 16\n16 8\n27 31\n31 82\n38 87\n45 52\n51 73\n52 59\n55 49\n63 95\n68 52\n76 33\n83 84\n85 50\n90 32\n95 35\n", "18 7\n12 48\n19 35\n22 8\n29 30\n33 91\n34 25\n45 44\n49 23\n52 64\n54 41\n56 10\n66 25\n73 69\n77 46\n87 31\n88 89\n91 92\n92 22\n", "2 7\n1 9\n5 6\n", "20 8\n2 37\n9 28\n13 63\n14 85\n27 27\n29 90\n34 96\n36 60\n41 14\n45 25\n46 95\n48 59\n53 12\n55 69\n61 11\n76 24\n79 71\n89 58\n96 15\n99 77\n", "12 9\n2 64\n4 14\n9 53\n11 39\n12 46\n14 39\n40 24\n67 77\n71 23\n72 47\n74 33\n95 90\n", "16 11\n4 32\n12 62\n14 69\n16 94\n20 59\n26 100\n33 10\n34 21\n39 79\n43 81\n46 47\n54 81\n72 58\n74 59\n77 47\n99 33\n", "11 6\n9 50\n10 56\n14 39\n17 91\n22 1\n25 65\n38 15\n39 93\n54 62\n62 31\n90 12\n", "14 5\n5 93\n19 25\n26 43\n42 6\n53 51\n55 39\n56 41\n67 71\n74 71\n78 8\n84 46\n89 45\n93 99\n97 32\n", "4 3\n1 6\n5 10\n9 9\n10 6\n", "10 6\n1 16\n8 27\n23 2\n26 21\n32 50\n38 53\n51 79\n62 97\n77 18\n100 5\n", "13 6\n7 75\n8 84\n16 95\n21 21\n49 33\n54 56\n55 80\n65 63\n67 50\n73 47\n80 26\n82 74\n86 77\n", "3 2\n2 6\n3 9\n4 8\n", "2 12\n1 9\n5 6\n", "12 9\n2 64\n4 14\n9 53\n11 39\n12 65\n14 39\n40 24\n67 77\n71 23\n72 47\n74 33\n95 90\n", "16 11\n4 32\n12 62\n14 69\n16 94\n20 59\n26 101\n33 10\n34 21\n39 79\n43 81\n46 47\n54 81\n72 58\n74 59\n77 47\n99 33\n", "11 6\n9 50\n10 56\n14 8\n17 91\n22 1\n25 65\n38 15\n39 93\n54 62\n62 31\n90 12\n", "10 6\n1 16\n8 47\n23 2\n26 21\n32 50\n38 53\n51 79\n62 97\n77 18\n100 5\n", "3 4\n2 6\n3 9\n4 8\n", "11 6\n10 50\n10 56\n14 8\n17 91\n22 1\n25 65\n38 15\n39 93\n54 62\n62 31\n90 12\n", "13 6\n7 75\n8 84\n16 95\n21 21\n49 33\n51 56\n55 80\n65 71\n67 50\n73 47\n80 26\n82 74\n86 77\n", "10 11\n1 16\n8 47\n23 2\n24 21\n32 50\n38 53\n51 58\n62 97\n77 18\n100 5\n", "10 19\n1 16\n11 16\n23 2\n24 21\n32 32\n38 53\n51 107\n62 65\n77 10\n100 5\n", "10 19\n1 16\n11 16\n23 2\n24 21\n32 32\n38 53\n51 107\n62 114\n77 10\n100 5\n", "3 2\n2 6\n2 9\n6 8\n", "19 2\n1 73\n2 96\n3 24\n5 96\n11 13\n14 96\n16 31\n17 60\n34 69\n39 41\n60 40\n61 96\n66 7\n67 56\n70 28\n73 12\n74 81\n78 77\n95 99\n", "5 1\n2 3\n5 4\n7 13\n8 10\n10 7\n", "1 20\n15 1\n", "17 10\n1 73\n2 16\n16 8\n27 31\n31 82\n38 87\n45 52\n51 73\n52 59\n55 49\n63 95\n68 52\n76 33\n83 84\n85 50\n90 32\n95 53\n", "20 8\n2 37\n9 28\n13 63\n14 85\n27 53\n29 90\n34 96\n36 60\n41 14\n45 25\n46 95\n48 59\n53 12\n55 69\n61 11\n76 24\n79 71\n89 58\n96 15\n99 77\n", "14 5\n1 93\n19 25\n26 43\n42 6\n53 51\n55 39\n56 41\n67 71\n74 71\n78 8\n84 46\n89 45\n93 99\n97 32\n", "4 3\n1 6\n1 10\n9 9\n10 6\n", "5 9\n10 10\n20 15\n30 1\n31 5\n40 10\n", "13 6\n7 75\n8 84\n16 95\n21 21\n49 33\n54 56\n55 80\n65 63\n67 50\n73 47\n80 14\n82 74\n86 77\n", "11 6\n9 50\n10 56\n14 8\n14 91\n22 1\n25 65\n38 15\n39 93\n54 62\n62 31\n90 12\n", "13 6\n7 99\n8 84\n16 95\n21 21\n49 33\n51 56\n55 80\n65 63\n67 50\n73 47\n80 26\n82 74\n86 77\n", "13 6\n7 75\n8 84\n16 95\n21 27\n49 33\n51 56\n55 80\n65 71\n67 50\n73 47\n80 26\n82 74\n86 77\n", "13 6\n7 75\n8 84\n16 95\n21 21\n49 33\n51 56\n55 80\n65 63\n67 50\n73 47\n80 26\n82 74\n86 77\n", "2 12\n1 15\n5 6\n", "10 6\n1 16\n8 47\n23 2\n26 21\n32 50\n38 53\n51 58\n62 97\n77 18\n100 5\n", "3 4\n2 6\n3 0\n4 8\n", "10 6\n1 16\n8 47\n23 2\n24 21\n32 50\n38 53\n51 58\n62 97\n77 18\n100 5\n", "10 11\n1 16\n8 47\n23 2\n24 21\n32 50\n38 53\n51 58\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 47\n23 2\n24 21\n32 50\n38 53\n51 58\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 47\n23 2\n24 21\n32 36\n38 53\n51 58\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 47\n23 2\n24 21\n32 36\n38 53\n51 107\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 15\n23 2\n24 21\n32 36\n38 53\n51 107\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 15\n23 2\n24 21\n32 32\n38 53\n51 107\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 20\n23 2\n24 21\n32 32\n38 53\n51 107\n62 97\n77 10\n100 5\n", "10 11\n1 16\n11 20\n23 2\n24 21\n32 32\n38 53\n51 107\n62 65\n77 10\n100 5\n", "10 11\n1 16\n11 16\n23 2\n24 21\n32 32\n38 53\n51 107\n62 65\n77 10\n100 5\n", "10 19\n1 16\n11 16\n23 2\n24 21\n32 32\n38 53\n51 107\n62 114\n77 10\n100 3\n", "2 7\n1 14\n5 6\n", "16 11\n4 32\n12 62\n14 69\n16 94\n20 36\n26 100\n33 10\n34 21\n39 79\n43 81\n46 47\n54 81\n72 58\n74 59\n77 47\n99 33\n", "11 6\n9 50\n10 56\n14 39\n17 91\n22 1\n25 96\n38 15\n39 93\n54 62\n62 31\n90 12\n", "2 12\n1 9\n6 6\n", "12 9\n2 64\n4 14\n9 53\n11 39\n12 79\n14 39\n40 24\n67 77\n71 23\n72 47\n74 33\n95 90\n", "16 11\n4 32\n12 62\n14 69\n16 94\n20 59\n26 101\n33 7\n34 21\n39 79\n43 81\n46 47\n54 81\n72 58\n74 59\n77 47\n99 33\n", "3 4\n2 9\n3 9\n4 8\n", "2 12\n1 26\n5 6\n", "11 6\n10 50\n10 56\n14 8\n17 91\n22 1\n25 86\n38 15\n39 93\n54 62\n62 31\n90 12\n", "10 6\n1 16\n8 47\n23 2\n26 21\n32 50\n38 53\n51 58\n62 97\n77 18\n100 10\n", "3 4\n2 6\n3 0\n4 6\n" ], "output": [ "1 2 4 5 ", "2 3 5 7 9 10 11 13 ", "1 2 3 ", "2 3 4 6 7 8 11 12 14 17 18 19 ", "3 4 5 ", "1 ", "1 2 3 4 6 7 8 9 12 13 15 ", "3 4 6 7 10 11 13 15 17 ", "1 2 4 5 7 9 12 13 14 16 18 ", "2 ", "2 4 6 8 11 14 17 18 20 ", "3 6 8 11 12 ", "2 4 6 9 10 12 13 16 ", "1 2 4 6 8 9 10 11 ", "1 8 9 10 11 12 13 14 ", "2 3 4 ", "2 4 5 6 7 8 10 ", "2 3 5 7 9 10 11 13\n", "1 3\n", "1 2\n", "3 5 8 11 12\n", "2 4 6 9 10 12 13 16\n", "1 2 4 6 8 9 10 11\n", "2 4 5 6 7 8 10\n", "3\n", "2 4 6 8 9 10 11\n", "2 3 5 7 8 9 10 11 13\n", "2 4 6 7 8 9 10\n", "2 5 7 8 9 10\n", "5 7 8 9 10\n", "2 3\n", "2 3 4 6 7 8 11 12 14 15 17 18 19\n", "3 4 5\n", "1\n", "3 4 6 7 10 11 13 15 17\n", "2 4 6 8 11 14 17 18 20\n", "1 5 7 8 9 10 11 12 13 14\n", "2 3 4\n", "1 2 4 5\n", "2 3 4 5 7 9 10 11 13\n", "1 4 6 8 9 10 11\n", "1 3 5 7 9 10 11 13\n", "2 3 4 5 7 8 9 10 11 13\n", "2 3 5 7 9 10 11 13\n", "1 2\n", "2 4 5 6 7 8 10\n", "3\n", "2 4 5 6 7 8 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "2 4 6 7 8 9 10\n", "5 7 8 9 10\n", "1 2\n", "2 4 6 9 10 12 13 16\n", "2 4 6 8 9 10 11\n", "1 2\n", "3 5 8 11 12\n", "2 4 6 9 10 12 13 16\n", "3\n", "1 2\n", "2 4 6 8 9 10 11\n", "2 4 5 6 7 8 10\n", "3\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: A traveler is planning a water hike along the river. He noted the suitable rest points for the night and wrote out their distances from the starting point. Each of these locations is further characterized by its picturesqueness, so for the i-th rest point the distance from the start equals xi, and its picturesqueness equals bi. The traveler will move down the river in one direction, we can assume that he will start from point 0 on the coordinate axis and rest points are points with coordinates xi. Every day the traveler wants to cover the distance l. In practice, it turns out that this is not always possible, because he needs to end each day at one of the resting points. In addition, the traveler is choosing between two desires: cover distance l every day and visit the most picturesque places. Let's assume that if the traveler covers distance rj in a day, then he feels frustration <image>, and his total frustration over the hike is calculated as the total frustration on all days. Help him plan the route so as to minimize the relative total frustration: the total frustration divided by the total picturesqueness of all the rest points he used. The traveler's path must end in the farthest rest point. Input The first line of the input contains integers n, l (1 ≤ n ≤ 1000, 1 ≤ l ≤ 105) — the number of rest points and the optimal length of one day path. Then n lines follow, each line describes one rest point as a pair of integers xi, bi (1 ≤ xi, bi ≤ 106). No two rest points have the same xi, the lines are given in the order of strictly increasing xi. Output Print the traveler's path as a sequence of the numbers of the resting points he used in the order he used them. Number the points from 1 to n in the order of increasing xi. The last printed number must be equal to n. Examples Input 5 9 10 10 20 10 30 1 31 5 40 10 Output 1 2 4 5 Note In the sample test the minimum value of relative total frustration approximately equals 0.097549. This value can be calculated as <image>. ### Input: 5 9 10 10 20 10 30 1 31 5 40 10 ### Output: 1 2 4 5 ### Input: 13 6 7 75 8 84 16 95 29 21 49 33 54 56 55 80 65 63 67 50 73 47 80 26 82 74 86 77 ### Output: 2 3 5 7 9 10 11 13 ### Code: import os import sys if os.path.exists(r'C:\Users\User\codeforces'): f = iter(open('A.txt').readlines()) def input(): return next(f).strip() # input = lambda: sys.stdin.readline().strip() else: input = lambda: sys.stdin.readline().strip() fprint = lambda *args: print(*args, flush=True) from math import sqrt n, l = map(int, input().split()) x, b = [0], [0] for _ in range(n): u, v = map(int, input().split()) x.append(u) b.append(v) def check(V): values = [2*10**9] * (n+1) values[0] = 0 for i in range(1, n+1): for p in range(i): values[i] = min(values[i], values[p] + sqrt(abs(x[i]-x[p]-l)) - V * b[i]) return values[-1] <= 0 def get(V): values = [2*10**9] * (n+1) values[0] = 0 prev = [-1] * (n+1) for i in range(1, n+1): for p in range(i): q = values[p] + sqrt(abs(x[i]-x[p]-l)) - V * b[i] if q < values[i]: prev[i] = p values[i] = q res = [n] while res[-1] != 0: res.append(prev[res[-1]]) res.pop() return res eps = 1e-9 R, L = 10**3+1, 0 while R - L > eps: # print(R, L) m = (R+L)/2 if check(m): R = m else: L = m print(' '.join(map(str, reversed(get(R)))))
513_C. Second price auction_34652
Nowadays, most of the internet advertisements are not statically linked to a web page. Instead, what will be shown to the person opening a web page is determined within 100 milliseconds after the web page is opened. Usually, multiple companies compete for each ad slot on the web page in an auction. Each of them receives a request with details about the user, web page and ad slot and they have to respond within those 100 milliseconds with a bid they would pay for putting an advertisement on that ad slot. The company that suggests the highest bid wins the auction and gets to place its advertisement. If there are several companies tied for the highest bid, the winner gets picked at random. However, the company that won the auction does not have to pay the exact amount of its bid. In most of the cases, a second-price auction is used. This means that the amount paid by the company is equal to the maximum of all the other bids placed for this ad slot. Let's consider one such bidding. There are n companies competing for placing an ad. The i-th of these companies will bid an integer number of microdollars equiprobably randomly chosen from the range between Li and Ri, inclusive. In the other words, the value of the i-th company bid can be any integer from the range [Li, Ri] with the same probability. Determine the expected value that the winner will have to pay in a second-price auction. Input The first line of input contains an integer number n (2 ≤ n ≤ 5). n lines follow, the i-th of them containing two numbers Li and Ri (1 ≤ Li ≤ Ri ≤ 10000) describing the i-th company's bid preferences. This problem doesn't have subproblems. You will get 8 points for the correct submission. Output Output the answer with absolute or relative error no more than 1e - 9. Examples Input 3 4 7 8 10 5 5 Output 5.7500000000 Input 3 2 5 3 4 1 6 Output 3.5000000000 Note Consider the first example. The first company bids a random integer number of microdollars in range [4, 7]; the second company bids between 8 and 10, and the third company bids 5 microdollars. The second company will win regardless of the exact value it bids, however the price it will pay depends on the value of first company's bid. With probability 0.5 the first company will bid at most 5 microdollars, and the second-highest price of the whole auction will be 5. With probability 0.25 it will bid 6 microdollars, and with probability 0.25 it will bid 7 microdollars. Thus, the expected value the second company will have to pay is 0.5·5 + 0.25·6 + 0.25·7 = 5.75.
import sys MaxV = int(1e4) data = [] readIdx = 0 for line in sys.stdin.readlines(): data += line.split() def read(): global readIdx readIdx += 1 return data[readIdx - 1] n, average, power, mul = int(read()), 0, 1, 1 froms, tos, r = [], [], [] def generate(i, maxIdx, secondMax, equal, ways): global n, r if i < n: for state in range(3): if state < 2: newWays = ways newEqual = equal if state == 0: newWays *= max(0, min(secondMax - 1, tos[i]) + 1 - froms[i]) else: newEqual += 1 if froms[i] > secondMax or tos[i] < secondMax: newWays = 0 if newWays > 0: generate(i + 1, maxIdx, secondMax, newEqual, newWays) elif maxIdx == None: greaterFrom = max(secondMax + 1, froms[i]) greaterTo = tos[i] newWays = ways if greaterFrom > greaterTo: newWays = 0 newWays *= max(0, greaterTo + 1 - greaterFrom) if newWays > 0: generate(i + 1, i, secondMax, equal, newWays) elif ways > 0 and ((maxIdx != None and equal > 0) or (maxIdx == None and equal >= 2)): r += [ways * secondMax] for i in range(n): froms += [int(read())] tos += [int(read())] power *= 3 mul *= (tos[i] + 1 - froms[i]) for secondMax in range(MaxV + 1): generate(0, None, secondMax, 0, 1) print(sum(r) / mul)
{ "input": [ "3\n2 5\n3 4\n1 6\n", "3\n4 7\n8 10\n5 5\n", "5\n1 7\n2 5\n3 9\n4 8\n5 6\n", "5\n659 8346\n2428 8690\n2357 5783\n3528 8580\n2425 7918\n", "2\n1 10000\n1 9999\n", "5\n3778 9170\n2657 6649\n4038 9722\n3392 7255\n4890 8961\n", "5\n3755 7859\n1245 7085\n592 5392\n1285 7892\n1442 7931\n", "5\n4075 6754\n1024 8762\n504 9491\n1159 6496\n375 9191\n", "5\n1 10000\n1 10000\n1 10000\n1 10000\n1 10000\n", "5\n2906 6249\n659 9082\n2628 8663\n4199 5799\n2678 9558\n", "5\n4787 9531\n3133 9597\n1754 9725\n4335 7124\n4269 7752\n", "5\n2194 6947\n2062 8247\n4481 8430\n3864 9409\n3784 5996\n", "2\n1 1\n1 1\n", "5\n1851 8833\n1730 6325\n4901 9327\n4671 9278\n3163 9789\n", "5\n1 1\n1 1\n2 2\n3 3\n4 4\n", "5\n4395 5976\n489 5355\n149 5158\n4462 5738\n2548 6658\n", "2\n1 2\n1 2\n", "5\n2171 7161\n4842 8682\n4547 9100\n269 9283\n3039 6492\n", "5\n979 6674\n1084 8758\n2003 5556\n478 7822\n3654 9623\n", "5\n17 9999\n19 9992\n1 10000\n6 9\n34 99\n", "5\n2563 8898\n2487 7923\n3048 5323\n142 7194\n4760 6061\n", "2\n1 3\n1 3\n", "5\n659 8346\n2428 8690\n2357 5783\n3528 8580\n2425 4597\n", "5\n3778 7773\n2657 6649\n4038 9722\n3392 7255\n4890 8961\n", "5\n3755 7859\n1245 7085\n592 5392\n1285 2740\n1442 7931\n", "5\n4209 6754\n1024 8762\n504 9491\n1159 6496\n375 9191\n", "5\n2906 6249\n659 9082\n2628 5110\n4199 5799\n2678 9558\n", "5\n4787 9531\n3133 9597\n1754 9725\n3393 7124\n4269 7752\n", "5\n2477 6947\n2062 8247\n4481 8430\n3864 9409\n3784 5996\n", "5\n1851 8833\n1730 6325\n4901 9327\n4671 9278\n4720 9789\n", "5\n4395 5976\n489 5355\n149 5158\n4462 9434\n2548 6658\n", "2\n1 2\n1 4\n", "5\n979 6674\n1084 8758\n2003 5556\n478 4932\n3654 9623\n", "5\n2563 8898\n2487 7923\n3048 9626\n142 7194\n4760 6061\n", "2\n1 3\n2 3\n", "5\n659 8346\n2428 8690\n2357 5783\n3528 8580\n1772 4597\n", "5\n4336 7773\n2657 6649\n4038 9722\n3392 7255\n4890 8961\n", "5\n3755 7859\n1245 7085\n592 5392\n2455 2740\n1442 7931\n", "5\n4209 6754\n1024 8762\n504 9491\n1159 6496\n375 6872\n", "5\n2906 6249\n659 9082\n4782 5110\n4199 5799\n2678 9558\n", "5\n4787 9531\n2776 9597\n1754 9725\n3393 7124\n4269 7752\n", "5\n2477 6947\n2062 8247\n4481 8430\n3864 9409\n231 5996\n", "2\n1 2\n1 5\n", "5\n979 6674\n1084 8758\n2003 5556\n478 4932\n6282 9623\n", "5\n2563 8898\n2487 7923\n5487 9626\n142 7194\n4760 6061\n", "2\n1 2\n2 3\n", "5\n4336 7773\n2657 6649\n4038 9722\n3392 7255\n7070 8961\n", "5\n3755 7859\n1245 7085\n592 5392\n2455 2740\n1442 6551\n", "5\n4209 6754\n1443 8762\n504 9491\n1159 6496\n375 6872\n", "5\n4787 9531\n2776 9597\n1754 9725\n3393 4606\n4269 7752\n", "5\n2477 6947\n2062 8247\n4481 9362\n3864 9409\n231 5996\n", "5\n2563 8898\n2487 6139\n5487 9626\n142 7194\n4760 6061\n", "5\n3755 7859\n1245 7085\n592 5392\n2455 2740\n1442 7187\n", "5\n4209 6754\n1443 8762\n504 9491\n751 6496\n375 6872\n", "5\n3038 6947\n2062 8247\n4481 9362\n3864 9409\n231 5996\n", "5\n3755 7859\n1245 7085\n592 5392\n1561 2740\n1442 7187\n", "5\n4209 6754\n1443 8762\n504 9491\n751 6496\n375 3371\n", "5\n3038 6947\n2062 8247\n233 9362\n3864 9409\n231 5996\n", "2\n1 4\n4 6\n", "5\n3755 7859\n1245 7085\n592 5392\n1563 2740\n1442 7187\n", "5\n3038 6947\n2062 8247\n233 9362\n3864 7992\n231 5996\n", "2\n1 4\n3 6\n", "5\n3755 5886\n1245 7085\n592 5392\n1563 2740\n1442 7187\n", "2\n1 1\n3 6\n", "5\n3755 5886\n1245 7085\n592 5392\n1563 2740\n534 7187\n", "5\n3755 5886\n1245 7085\n592 5392\n603 2740\n534 7187\n", "5\n3755 5886\n1245 7085\n592 5392\n603 2740\n717 7187\n", "5\n3755 5886\n1245 7085\n592 1238\n603 2740\n717 7187\n", "5\n3755 5886\n1245 7085\n592 1238\n603 2740\n334 7187\n", "5\n3755 5886\n1245 3635\n592 1238\n603 2740\n334 7187\n", "5\n3755 5886\n1245 3635\n1049 1238\n304 2740\n334 7187\n", "5\n1 7\n2 5\n3 9\n4 14\n5 6\n", "2\n1 10000\n2 9999\n", "5\n3778 9170\n2657 6649\n1957 9722\n3392 7255\n4890 8961\n", "5\n4787 9531\n3133 9597\n1754 7921\n4335 7124\n4269 7752\n", "5\n2194 6947\n2062 8247\n7300 8430\n3864 9409\n3784 5996\n", "2\n1 2\n2 6\n", "2\n1 2\n4 6\n", "2\n1 1\n4 6\n", "2\n1 1\n4 11\n", "2\n1 1\n1 11\n", "2\n1 1\n1 15\n", "2\n1 1\n1 29\n", "2\n1 1\n1 55\n", "5\n3755 5886\n1245 3635\n1049 1238\n603 2740\n334 7187\n", "2\n1 2\n1 1\n" ], "output": [ "3.5000000000000\n", "5.7500000000000\n", "5.9530612244898\n", "6077.3178766815709\n", "3333.6666666666665\n", "6938.4627241726648\n", "5545.5391818829739\n", "5919.6219273821980\n", "6667.1666666666861\n", "6062.1839551640633\n", "7046.2404831918329\n", "6373.5390940730640\n", "1.0000000000000\n", "7182.4449064090604\n", "3.0000000000000\n", "5102.0377827659659\n", "1.2500000000000\n", "6641.5017309461919\n", "5721.9327862567961\n", "5004.6727567143898\n", "5657.2388045241569\n", "1.5555555555556\n", "5680.440131159635\n", "6700.675428717712\n", "5095.601314662565\n", "5940.363441263717\n", "5551.1433308967935\n", "7016.51737699965\n", "6380.511431434681\n", "7328.726107662043\n", "5383.949970777391\n", "1.375\n", "5372.147883046828\n", "6201.899431169657\n", "1.833333333333333\n", "5675.562053452507\n", "6741.666746611143\n", "5099.888869635912\n", "5653.344503759173\n", "5635.108615954439\n", "6991.970909187536\n", "6347.9908236573865\n", "1.4\n", "5751.18925538816\n", "6516.804300229927\n", "1.5\n", "7159.587134700306\n", "4852.026791545531\n", "5681.901672817672\n", "6899.579298637735\n", "6498.318860546642\n", "6280.85368988844\n", "4974.468307089361\n", "5670.536434626572\n", "6516.908158824271\n", "4970.118283762381\n", "5490.450996064248\n", "6098.795878456135\n", "2.5\n", "4970.122679433\n", "5900.3217446348335\n", "2.4375\n", "4667.354835532258\n", "1.0\n", "4594.180536304587\n", "4591.740344988833\n", "4605.063499687774\n", "4430.833265931624\n", "4392.123627892316\n", "3709.0308811419122\n", "3705.7891723099688\n", "6.407235621521335\n", "3333.999999999989\n", "6777.598006921681\n", "6825.500310856549\n", "6949.259748827826\n", "1.5\n", "1.5\n", "1.0\n", "1.0\n", "1.0\n", "1.0\n", "1.0\n", "1.0\n", "3709.0308811419122\n", "1.0\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Nowadays, most of the internet advertisements are not statically linked to a web page. Instead, what will be shown to the person opening a web page is determined within 100 milliseconds after the web page is opened. Usually, multiple companies compete for each ad slot on the web page in an auction. Each of them receives a request with details about the user, web page and ad slot and they have to respond within those 100 milliseconds with a bid they would pay for putting an advertisement on that ad slot. The company that suggests the highest bid wins the auction and gets to place its advertisement. If there are several companies tied for the highest bid, the winner gets picked at random. However, the company that won the auction does not have to pay the exact amount of its bid. In most of the cases, a second-price auction is used. This means that the amount paid by the company is equal to the maximum of all the other bids placed for this ad slot. Let's consider one such bidding. There are n companies competing for placing an ad. The i-th of these companies will bid an integer number of microdollars equiprobably randomly chosen from the range between Li and Ri, inclusive. In the other words, the value of the i-th company bid can be any integer from the range [Li, Ri] with the same probability. Determine the expected value that the winner will have to pay in a second-price auction. Input The first line of input contains an integer number n (2 ≤ n ≤ 5). n lines follow, the i-th of them containing two numbers Li and Ri (1 ≤ Li ≤ Ri ≤ 10000) describing the i-th company's bid preferences. This problem doesn't have subproblems. You will get 8 points for the correct submission. Output Output the answer with absolute or relative error no more than 1e - 9. Examples Input 3 4 7 8 10 5 5 Output 5.7500000000 Input 3 2 5 3 4 1 6 Output 3.5000000000 Note Consider the first example. The first company bids a random integer number of microdollars in range [4, 7]; the second company bids between 8 and 10, and the third company bids 5 microdollars. The second company will win regardless of the exact value it bids, however the price it will pay depends on the value of first company's bid. With probability 0.5 the first company will bid at most 5 microdollars, and the second-highest price of the whole auction will be 5. With probability 0.25 it will bid 6 microdollars, and with probability 0.25 it will bid 7 microdollars. Thus, the expected value the second company will have to pay is 0.5·5 + 0.25·6 + 0.25·7 = 5.75. ### Input: 3 2 5 3 4 1 6 ### Output: 3.5000000000000 ### Input: 3 4 7 8 10 5 5 ### Output: 5.7500000000000 ### Code: import sys MaxV = int(1e4) data = [] readIdx = 0 for line in sys.stdin.readlines(): data += line.split() def read(): global readIdx readIdx += 1 return data[readIdx - 1] n, average, power, mul = int(read()), 0, 1, 1 froms, tos, r = [], [], [] def generate(i, maxIdx, secondMax, equal, ways): global n, r if i < n: for state in range(3): if state < 2: newWays = ways newEqual = equal if state == 0: newWays *= max(0, min(secondMax - 1, tos[i]) + 1 - froms[i]) else: newEqual += 1 if froms[i] > secondMax or tos[i] < secondMax: newWays = 0 if newWays > 0: generate(i + 1, maxIdx, secondMax, newEqual, newWays) elif maxIdx == None: greaterFrom = max(secondMax + 1, froms[i]) greaterTo = tos[i] newWays = ways if greaterFrom > greaterTo: newWays = 0 newWays *= max(0, greaterTo + 1 - greaterFrom) if newWays > 0: generate(i + 1, i, secondMax, equal, newWays) elif ways > 0 and ((maxIdx != None and equal > 0) or (maxIdx == None and equal >= 2)): r += [ways * secondMax] for i in range(n): froms += [int(read())] tos += [int(read())] power *= 3 mul *= (tos[i] + 1 - froms[i]) for secondMax in range(MaxV + 1): generate(0, None, secondMax, 0, 1) print(sum(r) / mul)
538_E. Demiurges Play Again_34656
Demiurges Shambambukli and Mazukta love to watch the games of ordinary people. Today, they noticed two men who play the following game. There is a rooted tree on n nodes, m of which are leaves (a leaf is a nodes that does not have any children), edges of the tree are directed from parent to children. In the leaves of the tree integers from 1 to m are placed in such a way that each number appears exactly in one leaf. Initially, the root of the tree contains a piece. Two players move this piece in turns, during a move a player moves the piece from its current nodes to one of its children; if the player can not make a move, the game ends immediately. The result of the game is the number placed in the leaf where a piece has completed its movement. The player who makes the first move tries to maximize the result of the game and the second player, on the contrary, tries to minimize the result. We can assume that both players move optimally well. Demiurges are omnipotent, so before the game they can arbitrarily rearrange the numbers placed in the leaves. Shambambukli wants to rearrange numbers so that the result of the game when both players play optimally well is as large as possible, and Mazukta wants the result to be as small as possible. What will be the outcome of the game, if the numbers are rearranged by Shambambukli, and what will it be if the numbers are rearranged by Mazukta? Of course, the Demiurges choose the best possible option of arranging numbers. Input The first line contains a single integer n — the number of nodes in the tree (1 ≤ n ≤ 2·105). Each of the next n - 1 lines contains two integers ui and vi (1 ≤ ui, vi ≤ n) — the ends of the edge of the tree; the edge leads from node ui to node vi. It is guaranteed that the described graph is a rooted tree, and the root is the node 1. Output Print two space-separated integers — the maximum possible and the minimum possible result of the game. Examples Input 5 1 2 1 3 2 4 2 5 Output 3 2 Input 6 1 2 1 3 3 4 1 5 5 6 Output 3 3 Note Consider the first sample. The tree contains three leaves: 3, 4 and 5. If we put the maximum number 3 at node 3, then the first player moves there and the result will be 3. On the other hand, it is easy to see that for any rearrangement the first player can guarantee the result of at least 2. In the second sample no matter what the arragment is the first player can go along the path that ends with a leaf with number 3.
import sys input = sys.stdin.readline def solve(): n = int(input()) g = [[] for i in range(n+1)] for i in range(1, n): u, v = map(int, input().split()) g[u].append(v) g[v].append(u) q = [1] d = [None]*(n+1) d[1] = 0 i = 0 while i < len(q): x = q[i] #print(x) i += 1 for v in g[x]: if d[v] is None: q.append(v) d[v] = d[x] + 1 g[v].remove(x) m = [0]*(n+1) M = [0]*(n+1) cnt = 0 for i in range(len(q)-1,-1,-1): x = q[i] if len(g[x]) == 0: m[x] = 1 M[x] = 1 cnt += 1 elif d[x] % 2 == 0: c = 0 C = int(1e9) for v in g[x]: c += m[v] for v in g[x]: C = min(C, M[v]) m[x] = c M[x] = C else: c = int(1e9) C = 0 for v in g[x]: c = min(c, m[v]) for v in g[x]: C += M[v] m[x] = c M[x] = C print(cnt + 1 - M[x], m[1]) solve()
{ "input": [ "5\n1 2\n1 3\n2 4\n2 5\n", "6\n1 2\n1 3\n3 4\n1 5\n5 6\n", "3\n1 2\n1 3\n", "10\n1 2\n1 3\n3 4\n3 5\n4 6\n1 7\n3 8\n2 9\n6 10\n", "2\n1 2\n", "1\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "22\n1 2\n2 3\n3 4\n1 5\n1 6\n1 7\n7 8\n8 9\n9 10\n10 11\n1 12\n12 13\n12 14\n14 15\n1 16\n16 17\n1 18\n18 19\n1 20\n20 21\n1 22\n", "10\n1 2\n1 3\n3 4\n4 5\n4 6\n1 7\n3 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n2 9\n6 10\n", "10\n1 2\n1 3\n3 4\n4 5\n4 6\n1 7\n3 8\n4 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n1 9\n6 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "6\n1 2\n1 3\n6 4\n1 5\n5 6\n", "10\n1 2\n1 3\n3 4\n3 5\n4 6\n1 7\n5 8\n2 9\n6 10\n", "10\n1 2\n1 3\n3 4\n2 5\n4 6\n1 7\n4 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n2 9\n4 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n22 24\n24 25\n25 26\n26 27\n15 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n1 3\n3 4\n3 5\n4 6\n2 7\n5 8\n2 9\n6 10\n", "10\n1 2\n1 3\n3 4\n2 5\n4 6\n1 7\n5 8\n1 9\n6 10\n", "22\n1 2\n2 3\n6 4\n1 5\n1 6\n1 7\n7 8\n8 9\n9 10\n10 11\n1 12\n12 13\n12 14\n14 15\n1 16\n16 17\n1 18\n18 19\n1 20\n20 21\n1 22\n", "22\n1 2\n2 3\n6 4\n1 5\n1 6\n2 7\n7 8\n8 9\n9 10\n10 11\n1 12\n12 13\n12 14\n14 15\n1 16\n16 17\n1 18\n18 19\n1 20\n20 21\n1 22\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n2 7\n3 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n1 9\n4 10\n", "22\n1 2\n2 3\n6 4\n1 5\n1 6\n2 7\n7 8\n8 9\n6 10\n10 11\n1 12\n12 13\n12 14\n14 15\n1 16\n16 17\n1 18\n18 19\n1 20\n20 21\n1 22\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n14 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n22 24\n24 25\n25 26\n26 27\n15 28\n28 29\n29 30\n30 31\n46 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n3 48\n48 49\n49 50\n", "10\n1 2\n1 3\n3 4\n3 5\n4 6\n1 7\n3 8\n1 9\n4 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n22 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n1 3\n3 4\n2 5\n4 6\n1 7\n5 8\n2 9\n6 10\n", "10\n1 2\n1 3\n2 4\n2 5\n4 6\n1 7\n4 8\n2 9\n6 10\n", "3\n1 2\n2 3\n", "10\n1 2\n1 3\n3 4\n8 5\n4 6\n1 7\n3 8\n4 9\n6 10\n", "10\n1 2\n1 3\n2 4\n3 5\n4 6\n1 7\n4 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n2 9\n8 10\n", "10\n1 2\n2 3\n3 4\n3 5\n7 6\n1 7\n3 8\n2 9\n4 10\n", "10\n1 2\n1 3\n2 4\n3 5\n4 6\n1 7\n1 8\n2 9\n6 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n17 20\n20 21\n21 22\n22 23\n22 24\n24 25\n25 26\n26 27\n15 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n1 3\n3 4\n3 5\n4 6\n2 7\n6 8\n2 9\n6 10\n", "10\n1 2\n1 3\n3 4\n4 5\n4 6\n1 7\n2 8\n2 9\n6 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n6 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n2 9\n3 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n22 24\n24 25\n25 26\n26 27\n15 28\n28 29\n29 30\n30 31\n46 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n1 3\n3 4\n2 5\n3 6\n1 7\n5 8\n1 9\n6 10\n", "10\n1 2\n1 3\n1 4\n3 5\n4 6\n1 7\n1 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n4 5\n4 6\n1 7\n2 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n3 8\n2 9\n7 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n21 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n1 3\n2 4\n2 5\n4 6\n1 7\n3 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n7 6\n1 7\n3 8\n2 9\n5 10\n", "10\n1 2\n1 3\n3 4\n6 5\n4 6\n1 7\n2 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n2 8\n2 9\n3 10\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n22 24\n24 25\n25 26\n26 27\n15 28\n28 29\n29 30\n30 31\n46 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n3 48\n48 49\n49 50\n", "50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n3 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n21 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n2 3\n3 4\n3 5\n5 6\n1 7\n3 8\n2 9\n5 10\n", "10\n1 2\n1 3\n2 4\n3 5\n4 6\n1 7\n4 8\n2 9\n3 10\n", "10\n1 2\n2 3\n3 4\n6 5\n4 6\n1 7\n3 8\n2 9\n8 10\n", "10\n1 2\n2 3\n2 4\n3 5\n7 6\n1 7\n3 8\n2 9\n4 10\n", "10\n1 2\n1 3\n2 4\n3 5\n4 6\n1 7\n1 8\n2 9\n1 10\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n2 7\n6 8\n2 9\n6 10\n", "22\n1 2\n2 3\n6 4\n1 5\n2 6\n1 7\n7 8\n8 9\n9 10\n10 11\n1 12\n12 13\n12 14\n14 15\n1 16\n16 17\n1 18\n18 19\n1 20\n20 21\n1 22\n", "10\n1 2\n1 3\n3 4\n2 5\n3 6\n1 7\n5 8\n1 9\n9 10\n", "10\n1 2\n1 3\n1 4\n3 5\n5 6\n1 7\n1 8\n2 9\n6 10\n", "10\n1 2\n2 3\n3 4\n4 5\n7 6\n1 7\n2 8\n2 9\n6 10\n", "50\n1 2\n2 3\n1 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n21 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n22 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "10\n1 2\n2 3\n3 4\n3 5\n4 6\n1 7\n2 8\n2 9\n2 10\n", "10\n1 2\n1 3\n2 4\n3 5\n4 6\n1 7\n5 8\n2 9\n3 10\n" ], "output": [ "3 2", "3 3", "2 2", "5 3", "1 1", "1 1", "1 1", "10 9", "5 3\n", "5 2\n", "6 3\n", "5 5\n", "1 1\n", "3 3\n", "4 3\n", "5 4\n", "6 2\n", "4 2\n", "3 2\n", "4 4\n", "10 9\n", "10 8\n", "3 1\n", "6 5\n", "11 8\n", "7 2\n", "7 4\n", "1 1\n", "4 3\n", "6 3\n", "1 1\n", "5 3\n", "5 3\n", "5 2\n", "5 2\n", "5 4\n", "5 3\n", "4 2\n", "5 4\n", "1 1\n", "6 2\n", "5 2\n", "5 4\n", "5 5\n", "5 2\n", "5 2\n", "3 2\n", "5 3\n", "5 2\n", "5 3\n", "6 2\n", "6 3\n", "4 3\n", "6 2\n", "6 3\n", "4 2\n", "5 2\n", "6 5\n", "3 1\n", "10 8\n", "5 4\n", "5 5\n", "4 2\n", "4 3\n", "6 2\n", "5 3\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Demiurges Shambambukli and Mazukta love to watch the games of ordinary people. Today, they noticed two men who play the following game. There is a rooted tree on n nodes, m of which are leaves (a leaf is a nodes that does not have any children), edges of the tree are directed from parent to children. In the leaves of the tree integers from 1 to m are placed in such a way that each number appears exactly in one leaf. Initially, the root of the tree contains a piece. Two players move this piece in turns, during a move a player moves the piece from its current nodes to one of its children; if the player can not make a move, the game ends immediately. The result of the game is the number placed in the leaf where a piece has completed its movement. The player who makes the first move tries to maximize the result of the game and the second player, on the contrary, tries to minimize the result. We can assume that both players move optimally well. Demiurges are omnipotent, so before the game they can arbitrarily rearrange the numbers placed in the leaves. Shambambukli wants to rearrange numbers so that the result of the game when both players play optimally well is as large as possible, and Mazukta wants the result to be as small as possible. What will be the outcome of the game, if the numbers are rearranged by Shambambukli, and what will it be if the numbers are rearranged by Mazukta? Of course, the Demiurges choose the best possible option of arranging numbers. Input The first line contains a single integer n — the number of nodes in the tree (1 ≤ n ≤ 2·105). Each of the next n - 1 lines contains two integers ui and vi (1 ≤ ui, vi ≤ n) — the ends of the edge of the tree; the edge leads from node ui to node vi. It is guaranteed that the described graph is a rooted tree, and the root is the node 1. Output Print two space-separated integers — the maximum possible and the minimum possible result of the game. Examples Input 5 1 2 1 3 2 4 2 5 Output 3 2 Input 6 1 2 1 3 3 4 1 5 5 6 Output 3 3 Note Consider the first sample. The tree contains three leaves: 3, 4 and 5. If we put the maximum number 3 at node 3, then the first player moves there and the result will be 3. On the other hand, it is easy to see that for any rearrangement the first player can guarantee the result of at least 2. In the second sample no matter what the arragment is the first player can go along the path that ends with a leaf with number 3. ### Input: 5 1 2 1 3 2 4 2 5 ### Output: 3 2 ### Input: 6 1 2 1 3 3 4 1 5 5 6 ### Output: 3 3 ### Code: import sys input = sys.stdin.readline def solve(): n = int(input()) g = [[] for i in range(n+1)] for i in range(1, n): u, v = map(int, input().split()) g[u].append(v) g[v].append(u) q = [1] d = [None]*(n+1) d[1] = 0 i = 0 while i < len(q): x = q[i] #print(x) i += 1 for v in g[x]: if d[v] is None: q.append(v) d[v] = d[x] + 1 g[v].remove(x) m = [0]*(n+1) M = [0]*(n+1) cnt = 0 for i in range(len(q)-1,-1,-1): x = q[i] if len(g[x]) == 0: m[x] = 1 M[x] = 1 cnt += 1 elif d[x] % 2 == 0: c = 0 C = int(1e9) for v in g[x]: c += m[v] for v in g[x]: C = min(C, M[v]) m[x] = c M[x] = C else: c = int(1e9) C = 0 for v in g[x]: c = min(c, m[v]) for v in g[x]: C += M[v] m[x] = c M[x] = C print(cnt + 1 - M[x], m[1]) solve()
566_F. Clique in the Divisibility Graph_34660
As you must know, the maximum clique problem in an arbitrary graph is NP-hard. Nevertheless, for some graphs of specific kinds it can be solved effectively. Just in case, let us remind you that a clique in a non-directed graph is a subset of the vertices of a graph, such that any two vertices of this subset are connected by an edge. In particular, an empty set of vertexes and a set consisting of a single vertex, are cliques. Let's define a divisibility graph for a set of positive integers A = {a1, a2, ..., an} as follows. The vertices of the given graph are numbers from set A, and two numbers ai and aj (i ≠ j) are connected by an edge if and only if either ai is divisible by aj, or aj is divisible by ai. You are given a set of non-negative integers A. Determine the size of a maximum clique in a divisibility graph for set A. Input The first line contains integer n (1 ≤ n ≤ 106), that sets the size of set A. The second line contains n distinct positive integers a1, a2, ..., an (1 ≤ ai ≤ 106) — elements of subset A. The numbers in the line follow in the ascending order. Output Print a single number — the maximum size of a clique in a divisibility graph for set A. Examples Input 8 3 4 6 8 10 18 21 24 Output 3 Note In the first sample test a clique of size 3 is, for example, a subset of vertexes {3, 6, 18}. A clique of a larger size doesn't exist in this graph.
for _ in range(1): n=int(input()) l=list(map(int,input().split())) dp=[0]*(10**6+1) for i in l: dp[i]=1 for i in l: if dp[i]: for x in range(i*2,10**6+1,i): if dp[x]: dp[x]=max(dp[x],dp[i]+1) print(max(dp))
{ "input": [ "8\n3 4 6 8 10 18 21 24\n", "6\n2 6 16 18 24 96\n", "4\n2 4 6 18\n", "2\n7 343\n", "2\n10 21\n", "3\n16 64 256\n", "5\n2 3 4 8 16\n", "2\n10 20\n", "50\n1 2 5 7 9 14 19 24 25 29 31 34 37 40 43 44 46 53 54 57 58 59 60 61 62 64 66 68 69 70 72 75 78 79 80 81 82 84 85 86 87 88 89 90 91 92 93 94 96 98\n", "4\n5 10 16 80\n", "1\n1000000\n", "1\n1\n", "20\n1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288\n", "5\n2 4 5 25 125\n", "9\n2 3 6 15 22 42 105 1155 2048\n", "5\n250000 333333 500000 666666 1000000\n", "7\n1 2 4 8 16 81 3888\n", "7\n1 10 100 1000 10000 100000 1000000\n", "1\n8\n", "6\n2 4 6 8 18 36\n", "2\n1 3\n", "3\n1 3 5\n", "2\n3 57\n", "1\n42\n", "2\n1 1000000\n", "4\n2 4 7 18\n", "2\n7 386\n", "5\n2 3 5 8 16\n", "50\n1 2 5 7 9 14 19 24 25 29 31 34 37 40 43 44 46 53 54 57 58 59 60 61 62 64 66 68 69 70 72 75 78 79 80 81 82 84 85 86 87 88 89 90 91 92 93 94 41 98\n", "20\n1 2 4 8 16 32 64 128 256 512 1024 1619 4096 8192 16384 32768 65536 131072 262144 524288\n", "7\n1 2 4 13 16 81 3888\n", "20\n1 2 4 8 16 32 64 128 256 512 1024 1619 4096 8192 16384 32768 65536 84465 262144 524288\n", "2\n8 21\n", "3\n16 109 256\n", "4\n5 18 16 80\n", "1\n2\n", "5\n2 4 9 25 125\n", "1\n16\n", "6\n1 4 6 8 18 36\n", "2\n2 3\n", "2\n6 57\n", "1\n19\n", "2\n2 1000000\n", "2\n7 291\n", "2\n14 21\n", "3\n16 25 256\n", "5\n2 5 5 8 16\n", "50\n1 2 5 7 9 14 19 24 25 29 31 34 37 40 43 44 46 53 54 57 58 59 60 61 62 64 66 68 69 70 72 75 78 79 80 81 82 84 85 86 36 88 89 90 91 92 93 94 41 98\n", "4\n5 18 16 75\n", "1\n3\n", "5\n2 4 9 43 125\n", "6\n2 4 6 8 18 58\n", "2\n4 3\n", "1\n10\n", "2\n7 110\n", "2\n14 25\n", "5\n2 5 5 12 16\n", "50\n1 2 5 7 9 14 19 24 25 29 31 34 37 40 43 44 46 53 54 57 58 35 60 61 62 64 66 68 69 70 72 75 78 79 80 81 82 84 85 86 36 88 89 90 91 92 93 94 41 98\n", "4\n5 17 16 75\n", "5\n1 4 9 43 125\n", "2\n8 3\n", "1\n4\n", "2\n1 110\n", "2\n7 25\n", "5\n2 5 5 7 16\n", "4\n5 30 16 75\n", "5\n1 4 18 43 125\n", "2\n5 3\n", "1\n5\n", "2\n1 010\n", "2\n7 19\n", "5\n1 4 16 43 125\n", "1\n6\n", "2\n2 010\n", "2\n2 19\n", "5\n1 4 13 43 125\n", "1\n11\n", "5\n1 4 17 43 125\n", "5\n1 4 17 46 125\n", "5\n1 4 17 25 125\n", "5\n1 4 17 23 125\n", "5\n1 6 17 23 125\n", "5\n2 6 17 23 125\n" ], "output": [ "3", "4", "3", "2", "1", "3", "4", "2", "4", "3", "1", "1", "20", "3", "4", "3", "6", "7", "1", "4", "2", "2", "2", "1", "2", "2\n", "1\n", "3\n", "4\n", "19\n", "5\n", "18\n", "1\n", "2\n", "2\n", "1\n", "2\n", "1\n", "4\n", "1\n", "1\n", "1\n", "2\n", "1\n", "1\n", "2\n", "3\n", "4\n", "2\n", "1\n", "2\n", "3\n", "1\n", "1\n", "1\n", "1\n", "2\n", "4\n", "2\n", "2\n", "1\n", "1\n", "2\n", "1\n", "2\n", "2\n", "2\n", "1\n", "1\n", "2\n", "1\n", "3\n", "1\n", "2\n", "1\n", "2\n", "1\n", "2\n", "2\n", "3\n", "2\n", "2\n", "2\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: As you must know, the maximum clique problem in an arbitrary graph is NP-hard. Nevertheless, for some graphs of specific kinds it can be solved effectively. Just in case, let us remind you that a clique in a non-directed graph is a subset of the vertices of a graph, such that any two vertices of this subset are connected by an edge. In particular, an empty set of vertexes and a set consisting of a single vertex, are cliques. Let's define a divisibility graph for a set of positive integers A = {a1, a2, ..., an} as follows. The vertices of the given graph are numbers from set A, and two numbers ai and aj (i ≠ j) are connected by an edge if and only if either ai is divisible by aj, or aj is divisible by ai. You are given a set of non-negative integers A. Determine the size of a maximum clique in a divisibility graph for set A. Input The first line contains integer n (1 ≤ n ≤ 106), that sets the size of set A. The second line contains n distinct positive integers a1, a2, ..., an (1 ≤ ai ≤ 106) — elements of subset A. The numbers in the line follow in the ascending order. Output Print a single number — the maximum size of a clique in a divisibility graph for set A. Examples Input 8 3 4 6 8 10 18 21 24 Output 3 Note In the first sample test a clique of size 3 is, for example, a subset of vertexes {3, 6, 18}. A clique of a larger size doesn't exist in this graph. ### Input: 8 3 4 6 8 10 18 21 24 ### Output: 3 ### Input: 6 2 6 16 18 24 96 ### Output: 4 ### Code: for _ in range(1): n=int(input()) l=list(map(int,input().split())) dp=[0]*(10**6+1) for i in l: dp[i]=1 for i in l: if dp[i]: for x in range(i*2,10**6+1,i): if dp[x]: dp[x]=max(dp[x],dp[i]+1) print(max(dp))
588_A. Duff and Meat_34664
Duff is addicted to meat! Malek wants to keep her happy for n days. In order to be happy in i-th day, she needs to eat exactly ai kilograms of meat. <image> There is a big shop uptown and Malek wants to buy meat for her from there. In i-th day, they sell meat for pi dollars per kilogram. Malek knows all numbers a1, ..., an and p1, ..., pn. In each day, he can buy arbitrary amount of meat, also he can keep some meat he has for the future. Malek is a little tired from cooking meat, so he asked for your help. Help him to minimize the total money he spends to keep Duff happy for n days. Input The first line of input contains integer n (1 ≤ n ≤ 105), the number of days. In the next n lines, i-th line contains two integers ai and pi (1 ≤ ai, pi ≤ 100), the amount of meat Duff needs and the cost of meat in that day. Output Print the minimum money needed to keep Duff happy for n days, in one line. Examples Input 3 1 3 2 2 3 1 Output 10 Input 3 1 3 2 1 3 2 Output 8 Note In the first sample case: An optimal way would be to buy 1 kg on the first day, 2 kg on the second day and 3 kg on the third day. In the second sample case: An optimal way would be to buy 1 kg on the first day and 5 kg (needed meat for the second and third day) on the second day.
n=int(input()) y,s=101,0 for i in range(n): a,b=map(int,input().split()) if y>b: y=b s+=(a*y) print(s)
{ "input": [ "3\n1 3\n2 1\n3 2\n", "3\n1 3\n2 2\n3 1\n", "12\n70 11\n74 27\n32 11\n26 83\n57 18\n97 28\n75 43\n75 21\n84 29\n16 2\n89 63\n21 88\n", "5\n39 21\n95 89\n73 90\n9 55\n85 32\n", "1\n39 52\n", "2\n25 56\n94 17\n", "2\n100 68\n38 80\n", "12\n70 11\n74 27\n32 11\n26 158\n57 18\n97 28\n75 43\n75 21\n84 29\n16 2\n89 63\n21 88\n", "5\n39 21\n95 89\n73 90\n10 55\n85 32\n", "1\n11 52\n", "2\n25 56\n181 17\n", "2\n100 68\n38 13\n", "3\n1 3\n3 2\n3 1\n", "12\n70 11\n74 27\n32 11\n26 158\n57 18\n97 28\n75 43\n75 21\n84 29\n16 3\n89 63\n21 88\n", "5\n39 21\n95 89\n73 90\n7 55\n85 32\n", "1\n11 1\n", "2\n100 68\n38 12\n", "3\n1 3\n5 2\n3 1\n", "12\n70 11\n74 27\n32 11\n26 158\n91 18\n97 28\n75 43\n75 21\n84 29\n16 3\n89 63\n21 88\n", "1\n11 2\n", "2\n100 68\n10 12\n", "3\n1 3\n5 4\n3 1\n", "5\n39 21\n95 17\n73 90\n7 25\n85 32\n", "1\n10 2\n", "2\n100 68\n10 15\n", "1\n9 2\n", "2\n100 68\n19 15\n", "3\n1 3\n5 1\n0 1\n", "12\n70 11\n15 27\n32 11\n26 158\n91 18\n97 12\n75 43\n75 21\n84 29\n16 3\n89 63\n21 124\n", "5\n39 21\n95 17\n73 90\n13 25\n85 53\n", "1\n3 2\n", "2\n100 68\n19 5\n", "3\n1 3\n5 1\n-1 1\n", "12\n70 11\n18 27\n32 11\n26 158\n91 18\n97 12\n75 43\n75 21\n84 29\n16 3\n89 63\n21 124\n", "5\n39 21\n95 23\n73 90\n13 25\n85 53\n", "1\n5 2\n", "2\n100 68\n19 9\n", "5\n29 21\n95 23\n73 90\n13 25\n85 53\n", "1\n5 3\n", "2\n101 68\n19 9\n", "12\n70 11\n18 27\n32 11\n26 158\n91 18\n97 12\n75 43\n75 21\n84 29\n16 3\n133 124\n21 124\n", "1\n5 6\n", "2\n100 15\n19 9\n", "12\n70 11\n21 27\n32 11\n26 158\n91 18\n97 12\n75 43\n75 21\n84 29\n16 3\n133 124\n21 124\n", "5\n29 21\n95 23\n73 90\n15 25\n85 99\n", "1\n8 6\n", "2\n100 15\n19 3\n", "5\n29 21\n95 23\n73 90\n15 18\n85 99\n", "2\n100 22\n19 3\n", "12\n70 11\n21 27\n32 11\n26 158\n91 18\n97 12\n75 30\n75 5\n84 29\n16 3\n133 124\n21 124\n", "5\n29 21\n95 23\n73 90\n15 18\n3 99\n", "1\n8 0\n", "2\n100 22\n19 2\n", "12\n70 11\n21 27\n58 11\n26 158\n91 18\n97 12\n75 30\n75 5\n84 29\n16 3\n133 124\n21 124\n", "5\n56 21\n95 23\n73 90\n15 18\n3 99\n", "1\n8 -1\n", "2\n100 22\n3 2\n", "12\n70 11\n21 27\n58 11\n26 158\n91 18\n97 4\n75 30\n75 5\n84 29\n16 3\n133 124\n21 124\n", "5\n56 21\n95 23\n73 90\n15 18\n5 99\n", "2\n110 22\n3 2\n", "12\n70 11\n21 27\n58 11\n26 158\n110 18\n97 4\n75 30\n75 5\n84 29\n16 3\n133 124\n21 124\n", "5\n56 21\n95 23\n73 90\n15 3\n5 99\n", "2\n110 24\n3 2\n", "5\n56 21\n95 23\n3 90\n15 3\n5 99\n", "1\n10 -1\n", "2\n110 24\n3 0\n", "1\n10 -2\n", "2\n110 30\n3 0\n", "12\n70 11\n9 27\n58 11\n26 158\n110 18\n97 4\n75 30\n75 5\n84 28\n16 3\n133 124\n21 28\n", "5\n56 21\n95 43\n3 90\n30 3\n5 99\n", "1\n7 -2\n", "12\n70 11\n9 27\n58 11\n3 158\n110 18\n97 4\n75 30\n75 5\n84 28\n16 3\n133 124\n21 28\n", "12\n70 11\n9 27\n58 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 3\n133 124\n21 28\n", "5\n56 21\n95 43\n3 53\n30 3\n4 99\n", "1\n7 -1\n", "12\n70 11\n5 27\n58 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 3\n133 124\n21 28\n", "5\n56 35\n95 43\n3 53\n30 3\n4 99\n", "12\n70 11\n5 27\n58 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 3\n121 124\n21 28\n", "1\n17 -1\n", "5\n56 22\n95 43\n3 53\n30 3\n4 21\n", "1\n24 -1\n", "12\n70 11\n5 48\n58 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 1\n121 124\n21 28\n", "5\n56 22\n95 5\n3 53\n30 3\n4 21\n", "12\n70 11\n5 48\n0 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 1\n121 124\n21 28\n", "1\n24 1\n", "12\n70 11\n6 48\n0 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 1\n121 124\n21 28\n", "5\n56 22\n95 5\n6 104\n30 3\n4 21\n", "5\n39 21\n95 89\n73 90\n7 25\n85 32\n", "12\n70 11\n74 27\n32 11\n26 158\n91 18\n97 28\n75 43\n75 21\n84 29\n16 3\n89 63\n21 124\n", "3\n1 3\n5 1\n3 1\n", "12\n70 11\n74 27\n32 11\n26 158\n91 18\n97 12\n75 43\n75 21\n84 29\n16 3\n89 63\n21 124\n", "5\n39 21\n95 17\n73 90\n7 25\n85 53\n", "12\n70 11\n18 27\n32 11\n26 158\n91 18\n97 12\n75 43\n75 21\n84 29\n16 3\n89 124\n21 124\n", "5\n29 21\n95 23\n73 90\n13 25\n85 99\n", "12\n70 11\n21 27\n32 11\n26 158\n91 18\n97 12\n75 30\n75 21\n84 29\n16 3\n133 124\n21 124\n", "1\n8 1\n", "1\n12 0\n", "1\n10 0\n", "12\n70 11\n21 27\n58 11\n26 158\n110 18\n97 4\n75 30\n75 5\n84 28\n16 3\n133 124\n21 124\n", "12\n70 11\n21 27\n58 11\n26 158\n110 18\n97 4\n75 30\n75 5\n84 28\n16 3\n133 124\n21 28\n", "5\n56 21\n95 43\n3 90\n15 3\n5 99\n", "5\n56 21\n95 43\n3 53\n30 3\n5 99\n", "1\n7 0\n", "1\n14 -1\n", "5\n56 35\n95 43\n3 53\n30 3\n4 21\n", "12\n70 11\n5 48\n58 11\n3 158\n110 18\n97 4\n75 30\n147 5\n84 28\n16 3\n121 124\n21 28\n", "1\n24 0\n" ], "output": [ "8\n", "10\n", "6742\n", "6321\n", "2028\n", "2998\n", "9384\n", "6742\n", "6342\n", "572\n", "4477\n", "7294\n", "12\n", "6868\n", "6279\n", "11\n", "7256\n", "16\n", "7242\n", "22\n", "6920\n", "21\n", "5239\n", "20\n", "6950\n", "18\n", "7085\n", "8\n", "6593\n", "5341\n", "6\n", "6895\n", "7\n", "6626\n", "6405\n", "10\n", "6971\n", "6195\n", "15\n", "7039\n", "6758\n", "30\n", "1671\n", "6791\n", "6237\n", "48\n", "1557\n", "5937\n", "2257\n", "5837\n", "4461\n", "0\n", "2238\n", "6123\n", "5028\n", "-8\n", "2206\n", "4760\n", "5064\n", "2426\n", "4969\n", "4764\n", "2646\n", "3294\n", "-10\n", "2640\n", "-20\n", "3300\n", "4837\n", "3339\n", "-14\n", "4584\n", "4872\n", "3336\n", "-7\n", "4828\n", "5492\n", "4792\n", "-17\n", "3490\n", "-24\n", "4476\n", "1824\n", "3838\n", "24\n", "3849\n", "1839\n", "6279\n", "7242\n", "11\n", "7242\n", "5239\n", "6626\n", "6195\n", "6791\n", "8\n", "0\n", "0\n", "4969\n", "4969\n", "3294\n", "3339\n", "0\n", "-14\n", "5492\n", "4792\n", "0\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Duff is addicted to meat! Malek wants to keep her happy for n days. In order to be happy in i-th day, she needs to eat exactly ai kilograms of meat. <image> There is a big shop uptown and Malek wants to buy meat for her from there. In i-th day, they sell meat for pi dollars per kilogram. Malek knows all numbers a1, ..., an and p1, ..., pn. In each day, he can buy arbitrary amount of meat, also he can keep some meat he has for the future. Malek is a little tired from cooking meat, so he asked for your help. Help him to minimize the total money he spends to keep Duff happy for n days. Input The first line of input contains integer n (1 ≤ n ≤ 105), the number of days. In the next n lines, i-th line contains two integers ai and pi (1 ≤ ai, pi ≤ 100), the amount of meat Duff needs and the cost of meat in that day. Output Print the minimum money needed to keep Duff happy for n days, in one line. Examples Input 3 1 3 2 2 3 1 Output 10 Input 3 1 3 2 1 3 2 Output 8 Note In the first sample case: An optimal way would be to buy 1 kg on the first day, 2 kg on the second day and 3 kg on the third day. In the second sample case: An optimal way would be to buy 1 kg on the first day and 5 kg (needed meat for the second and third day) on the second day. ### Input: 3 1 3 2 1 3 2 ### Output: 8 ### Input: 3 1 3 2 2 3 1 ### Output: 10 ### Code: n=int(input()) y,s=101,0 for i in range(n): a,b=map(int,input().split()) if y>b: y=b s+=(a*y) print(s)
630_H. Benches_34671
The city park of IT City contains n east to west paths and n north to south paths. Each east to west path crosses each north to south path, so there are n2 intersections. The city funded purchase of five benches. To make it seems that there are many benches it was decided to place them on as many paths as possible. Obviously this requirement is satisfied by the following scheme: each bench is placed on a cross of paths and each path contains not more than one bench. Help the park administration count the number of ways to place the benches. Input The only line of the input contains one integer n (5 ≤ n ≤ 100) — the number of east to west paths and north to south paths. Output Output one integer — the number of ways to place the benches. Examples Input 5 Output 120
from collections import Counter import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ########################################################## # n=int(input()) # n,k=map(int,input().split()) # arr=list(map(int,input().split())) #ls=list(map(int,input().split())) #for i in range(m): # for _ in range(int(input())): #from collections import Counter #from fractions import Fraction #s=iter(input()) #from collections import deque import math #for _ in range(int(input())): n=int(input()) var=n**2*(n-1)**2*(n-2)**2*(n-3)**2*(n-4)**2 print(var//120)
{ "input": [ "5\n", "7\n", "100\n", "83\n", "72\n", "6\n", "15\n", "99\n", "17\n", "95\n", "38\n", "9\n", "23\n", "19\n", "36\n", "41\n", "16\n", "8\n", "11\n", "28\n", "14\n", "12\n", "24\n", "10\n", "18\n", "13\n", "101\n", "58\n", "20\n", "73\n", "30\n", "33\n", "21\n", "22\n", "26\n", "52\n", "25\n", "55\n", "27\n", "35\n", "34\n", "56\n", "43\n", "40\n", "47\n", "87\n", "51\n", "62\n", "29\n", "48\n", "94\n", "85\n", "71\n", "50\n", "53\n", "75\n", "90\n", "66\n", "97\n", "78\n", "60\n", "82\n", "57\n", "32\n", "39\n", "54\n", "59\n", "45\n", "49\n", "61\n", "80\n", "70\n", "96\n", "46\n", "65\n", "84\n", "91\n", "86\n", "77\n", "44\n", "37\n", "64\n", "69\n", "79\n", "81\n", "31\n", "93\n", "104\n", "105\n", "67\n", "42\n", "74\n", "89\n", "98\n", "68\n", "102\n", "103\n", "92\n", "88\n", "63\n", "76\n", "010\n", "011\n" ], "output": [ "120\n", "52920\n", "680185280130048000\n", "101159538130177920\n", "23491596420472320\n", "4320\n", "1082161080\n", "613867215317368320\n", "4594961280\n", "402852449038723320\n", "30233492563680\n", "1905120\n", "135870624120\n", "16225246080\n", "17054756167680\n", "67391683488480\n", "2289530880\n", "376320\n", "25613280\n", "1159075008000\n", "480960480\n", "75271680\n", "216790801920\n", "7620480\n", "8809274880\n", "198764280\n", "752883034137003000\n", "2519494444494720\n", "28844881920\n", "27073252016586720\n", "2436955204320\n", "6759405227520\n", "49689816120\n", "83217546720\n", "519241008000\n", "810551169792000\n", "338735628000\n", "1452213371414520\n", "782079948000\n", "12646312250880\n", "9291168184320\n", "1750919312862720\n", "111191389152480\n", "51956943367680\n", "282356262686520\n", "163835031878453880\n", "662169946032000\n", "5024864026080480\n", "1692330003000\n", "351838198609920\n", "361562862849158880\n", "129112742100154680\n", "20342163644193720\n", "538697272512000\n", "988211039907000\n", "35746385180652000\n", "231784578928298880\n", "9584241849262080\n", "498394801129029120\n", "53481374518572000\n", "3579373599137280\n", "89338747275947520\n", "2103822798628320\n", "4866275205120\n", "39779534765880\n", "1200176340012000\n", "3007668093719520\n", "179123406489720\n", "436344790734720\n", "4247082003313080\n", "69350684313630720\n", "17577953746103520\n", "448338143985131520\n", "225475983421920\n", "8187089972705280\n", "114369764628510720\n", "259519753664851680\n", "145544557319424480\n", "46844550428907000\n", "141529605127680\n", "22800743353080\n", "6975981988577280\n", "15156500934140280\n", "60952749885027000\n", "78775941790465920\n", "3464369750520\n", "324121710799930680\n", "1014852610170048000\n", "1118875002712477920\n", "11192419787028480\n", "86836325546880\n", "31139073312923520\n", "206746121328019680\n", "553426253907179520\n", "13039493347246080\n", "832500274966668000\n", "919616349138003000\n", "290206790199406080\n", "184168745371860480\n", "5928562817929080\n", "40958365563072000\n", "7620480\n", "25613280\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: The city park of IT City contains n east to west paths and n north to south paths. Each east to west path crosses each north to south path, so there are n2 intersections. The city funded purchase of five benches. To make it seems that there are many benches it was decided to place them on as many paths as possible. Obviously this requirement is satisfied by the following scheme: each bench is placed on a cross of paths and each path contains not more than one bench. Help the park administration count the number of ways to place the benches. Input The only line of the input contains one integer n (5 ≤ n ≤ 100) — the number of east to west paths and north to south paths. Output Output one integer — the number of ways to place the benches. Examples Input 5 Output 120 ### Input: 5 ### Output: 120 ### Input: 7 ### Output: 52920 ### Code: from collections import Counter import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") ########################################################## # n=int(input()) # n,k=map(int,input().split()) # arr=list(map(int,input().split())) #ls=list(map(int,input().split())) #for i in range(m): # for _ in range(int(input())): #from collections import Counter #from fractions import Fraction #s=iter(input()) #from collections import deque import math #for _ in range(int(input())): n=int(input()) var=n**2*(n-1)**2*(n-2)**2*(n-3)**2*(n-4)**2 print(var//120)
681_B. Economy Game_34678
Kolya is developing an economy simulator game. His most favourite part of the development process is in-game testing. Once he was entertained by the testing so much, that he found out his game-coin score become equal to 0. Kolya remembers that at the beginning of the game his game-coin score was equal to n and that he have bought only some houses (for 1 234 567 game-coins each), cars (for 123 456 game-coins each) and computers (for 1 234 game-coins each). Kolya is now interested, whether he could have spent all of his initial n game-coins buying only houses, cars and computers or there is a bug in the game. Formally, is there a triple of non-negative integers a, b and c such that a × 1 234 567 + b × 123 456 + c × 1 234 = n? Please help Kolya answer this question. Input The first line of the input contains a single integer n (1 ≤ n ≤ 109) — Kolya's initial game-coin score. Output Print "YES" (without quotes) if it's possible that Kolya spent all of his initial n coins buying only houses, cars and computers. Otherwise print "NO" (without quotes). Examples Input 1359257 Output YES Input 17851817 Output NO Note In the first sample, one of the possible solutions is to buy one house, one car and one computer, spending 1 234 567 + 123 456 + 1234 = 1 359 257 game-coins in total.
n = int(input()) for i in range((n//1234567) + 1): for j in range((n//123456) + 1): t = n - i * 1234567 - j * 123456 if t >= 0 and t % 1234 == 0: print("YES") exit() print("NO")
{ "input": [ "17851817\n", "1359257\n", "999129999\n", "917261049\n", "803219200\n", "27402415\n", "908000000\n", "1235801\n", "20987639\n", "27404883\n", "122222\n", "1234567\n", "999999987\n", "100000000\n", "123456\n", "27406117\n", "253082\n", "1000000000\n", "1234\n", "1359250\n", "43873430\n", "12345\n", "27401181\n", "124690\n", "987654321\n", "81134231\n", "438734347\n", "12345670\n", "100\n", "27403649\n", "123458\n", "915968473\n", "999973333\n", "25613715\n", "999999997\n", "1235\n", "999999989\n", "999999244\n", "991919191\n", "11\n", "999999999\n", "912331505\n", "1485181\n", "11403961\n", "14841529\n", "13580237\n", "999999998\n", "2592590\n", "1358023\n", "17851818\n", "980698615\n", "3000\n", "17159199\n", "14814804\n", "1356789\n", "1480800\n", "1237035\n", "13606913\n", "1236\n", "184486897\n", "5910745\n", "742160511\n", "1843769\n", "10394753\n", "151769\n", "1058175\n", "100010000\n", "216334\n", "414302\n", "1672\n", "573099\n", "65597600\n", "17823\n", "14344609\n", "188929\n", "960546035\n", "681282933\n", "14511875\n", "58\n", "699691069\n", "613594486\n", "426\n", "6\n", "407193541\n", "940641288\n", "4642205\n", "376485157\n", "1311\n", "6316601\n", "6471245\n", "1531611\n", "23842986\n", "1488\n", "30204486\n", "2272509\n", "92174987\n", "33626646\n", "13048471\n", "98093\n", "1431569\n", "100010100\n", "40819\n", "468890\n", "3275\n", "109295\n", "97202810\n", "4256\n", "20673328\n", "135433\n", "673318216\n", "17276794\n", "30\n", "479743760\n", "658\n", "4\n", "156777369\n", "2858725\n", "401581816\n", "767\n", "1167810\n", "1960765\n", "8943223\n", "26\n", "4048483\n", "87304171\n", "25880893\n", "125685\n", "000010000\n", "65779\n", "190615\n", "851\n", "133388\n", "190656466\n", "2380\n", "33501504\n", "219285\n", "60\n", "909121018\n", "1088\n", "2\n", "206094662\n", "2471199\n", "1031\n", "570252\n", "153217\n", "000010010\n", "107785\n", "266917\n", "593\n", "116784\n", "2913\n", "15893827\n" ], "output": [ "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Kolya is developing an economy simulator game. His most favourite part of the development process is in-game testing. Once he was entertained by the testing so much, that he found out his game-coin score become equal to 0. Kolya remembers that at the beginning of the game his game-coin score was equal to n and that he have bought only some houses (for 1 234 567 game-coins each), cars (for 123 456 game-coins each) and computers (for 1 234 game-coins each). Kolya is now interested, whether he could have spent all of his initial n game-coins buying only houses, cars and computers or there is a bug in the game. Formally, is there a triple of non-negative integers a, b and c such that a × 1 234 567 + b × 123 456 + c × 1 234 = n? Please help Kolya answer this question. Input The first line of the input contains a single integer n (1 ≤ n ≤ 109) — Kolya's initial game-coin score. Output Print "YES" (without quotes) if it's possible that Kolya spent all of his initial n coins buying only houses, cars and computers. Otherwise print "NO" (without quotes). Examples Input 1359257 Output YES Input 17851817 Output NO Note In the first sample, one of the possible solutions is to buy one house, one car and one computer, spending 1 234 567 + 123 456 + 1234 = 1 359 257 game-coins in total. ### Input: 17851817 ### Output: NO ### Input: 1359257 ### Output: YES ### Code: n = int(input()) for i in range((n//1234567) + 1): for j in range((n//123456) + 1): t = n - i * 1234567 - j * 123456 if t >= 0 and t % 1234 == 0: print("YES") exit() print("NO")
704_A. Thor_34682
Thor is getting used to the Earth. As a gift Loki gave him a smartphone. There are n applications on this phone. Thor is fascinated by this phone. He has only one minor issue: he can't count the number of unread notifications generated by those applications (maybe Loki put a curse on it so he can't). q events are about to happen (in chronological order). They are of three types: 1. Application x generates a notification (this new notification is unread). 2. Thor reads all notifications generated so far by application x (he may re-read some notifications). 3. Thor reads the first t notifications generated by phone applications (notifications generated in first t events of the first type). It's guaranteed that there were at least t events of the first type before this event. Please note that he doesn't read first t unread notifications, he just reads the very first t notifications generated on his phone and he may re-read some of them in this operation. Please help Thor and tell him the number of unread notifications after each event. You may assume that initially there are no notifications in the phone. Input The first line of input contains two integers n and q (1 ≤ n, q ≤ 300 000) — the number of applications and the number of events to happen. The next q lines contain the events. The i-th of these lines starts with an integer typei — type of the i-th event. If typei = 1 or typei = 2 then it is followed by an integer xi. Otherwise it is followed by an integer ti (1 ≤ typei ≤ 3, 1 ≤ xi ≤ n, 1 ≤ ti ≤ q). Output Print the number of unread notifications after each event. Examples Input 3 4 1 3 1 1 1 2 2 3 Output 1 2 3 2 Input 4 6 1 2 1 4 1 2 3 3 1 3 1 3 Output 1 2 3 0 1 2 Note In the first sample: 1. Application 3 generates a notification (there is 1 unread notification). 2. Application 1 generates a notification (there are 2 unread notifications). 3. Application 2 generates a notification (there are 3 unread notifications). 4. Thor reads the notification generated by application 3, there are 2 unread notifications left. In the second sample test: 1. Application 2 generates a notification (there is 1 unread notification). 2. Application 4 generates a notification (there are 2 unread notifications). 3. Application 2 generates a notification (there are 3 unread notifications). 4. Thor reads first three notifications and since there are only three of them so far, there will be no unread notification left. 5. Application 3 generates a notification (there is 1 unread notification). 6. Application 3 generates a notification (there are 2 unread notifications).
n , q = map(int, input().split()) stacks = [[] for i in range(n + 1)] queue = [] q_start = 0 unread = 0 ans = [] for i in range(q): action, num = map(int, input().split()) if action == 1: queue.append(0) stacks[num].append(len(queue) - 1) unread += 1 elif action == 2: for i in range(len(stacks[num])): if stacks[num][i] >= q_start and queue[stacks[num][i]] == 0: queue[stacks[num][i]] = 1 unread -= 1 stacks[num] = [] else: for i in range(q_start, num): if queue[i] == 0: queue[i] = 1 unread -= 1 q_start = max(q_start, num) ans.append(unread) print("\n".join(map(str, ans)))
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1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 2\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 1\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 1\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n2 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "4 4\n1 3\n2 1\n1 2\n2 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 5\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 5\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 8\n1 5\n2 2\n2 2\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n2 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 1\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n2 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 8\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 3\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n2 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n2 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "4 4\n1 1\n2 1\n1 2\n2 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 3\n2 4\n1 7\n1 1\n2 5\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 5\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n2 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 8\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 3\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n2 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 3\n2 4\n1 7\n1 1\n2 5\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 3\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 5\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n2 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n2 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 1\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 1\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n2 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 8\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 3\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n2 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 2\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 1\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 1\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 7\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 2\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 8\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 7\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 2\n2 10\n1 10\n1 1\n2 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 8\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n2 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "300000 1\n2 86053\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 4\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 8\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 5\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n2 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 1\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 6\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 14\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 3\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n2 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 2\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "4 4\n1 3\n2 1\n1 2\n1 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 5\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 4\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 2\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 5\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n3 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 3\n1 3\n1 9\n1 6\n1 3\n1 8\n2 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n2 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 2\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 3\n2 4\n1 7\n1 1\n2 5\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n1 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 3\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 5\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 8\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n2 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n2 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 2\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 1\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 1\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 7\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 2\n2 10\n1 10\n1 1\n1 10\n1 6\n1 3\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 7\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 2\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n2 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 8\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "4 6\n1 3\n1 4\n1 2\n3 3\n2 3\n2 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 8\n1 5\n2 2\n2 2\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 3\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "4 6\n1 2\n1 4\n1 2\n3 3\n3 3\n1 3\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 7\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 1\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 3\n1 3\n1 9\n1 6\n1 3\n1 8\n2 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n2 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 1\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 3\n2 4\n1 7\n1 1\n2 5\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 3\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 9\n1 1\n2 6\n1 2\n2 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 7\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 2\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n3 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "5 4\n1 3\n1 1\n1 2\n2 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 1\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 2\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 9\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "4 6\n1 2\n1 4\n1 2\n3 3\n3 3\n2 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n1 9\n1 6\n2 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 2\n1 7\n1 1\n2 4\n2 9\n1 2\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n2 1\n3 1\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 1\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "6 6\n1 3\n1 4\n1 2\n3 3\n2 3\n2 3\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 2\n2 1\n1 1\n3 3\n1 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 5\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n2 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n2 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 6\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n2 6\n2 1\n2 1\n3 1\n1 9\n1 8\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 10\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n1 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n2 4\n1 1\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 4\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n2 3\n1 6\n1 10\n2 1\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n1 10\n1 7\n1 8\n", "10 85\n2 2\n1 10\n1 1\n2 6\n1 2\n1 4\n1 7\n2 1\n1 1\n3 3\n2 9\n1 6\n1 8\n1 10\n3 8\n2 8\n1 6\n1 3\n1 9\n1 6\n1 3\n1 8\n1 1\n1 6\n1 8\n2 1\n2 10\n1 10\n1 1\n1 10\n1 6\n2 2\n1 8\n1 3\n1 4\n1 9\n1 5\n1 5\n2 2\n2 4\n1 7\n1 1\n3 4\n2 9\n1 1\n1 7\n1 8\n3 33\n1 10\n2 2\n1 3\n1 10\n1 6\n3 32\n2 3\n1 5\n2 10\n2 2\n2 3\n2 3\n3 16\n1 3\n2 2\n1 1\n3 18\n2 2\n2 5\n1 5\n1 9\n2 4\n1 3\n1 4\n1 3\n1 6\n1 10\n2 2\n1 7\n1 7\n2 8\n1 1\n3 1\n1 8\n2 10\n1 7\n1 8\n" ], "output": [ "1\n2\n3\n2\n\n", "1\n2\n3\n0\n1\n2\n\n", 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"0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n11\n12\n13\n14\n15\n15\n14\n15\n16\n16\n17\n18\n19\n20\n1\n2\n2\n2\n3\n4\n4\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n14\n15\n16\n17\n18\n18\n17\n18\n19\n19\n17\n18\n19\n20\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n13\n14\n15\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n14\n13\n14\n15\n13\n11\n12\n13\n14\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n4\n5\n6\n7\n8\n9\n9\n10\n11\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n11\n12\n13\n14\n15\n15\n14\n15\n16\n16\n17\n18\n19\n20\n1\n2\n2\n2\n3\n4\n4\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n7\n8\n9\n8\n9\n9\n10\n11\n12\n13\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n3\n4\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n14\n15\n16\n17\n18\n18\n17\n18\n19\n19\n17\n18\n19\n20\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n12\n13\n13\n14\n13\n14\n15\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n18\n17\n18\n19\n19\n20\n21\n22\n23\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n11\n12\n13\n14\n15\n14\n13\n14\n15\n15\n16\n17\n18\n19\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n5\n6\n7\n6\n7\n8\n8\n9\n9\n10\n11\n12\n13\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n18\n17\n18\n19\n19\n20\n21\n22\n23\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n5\n6\n7\n7\n8\n9\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n9\n8\n9\n10\n9\n10\n11\n12\n13\n14\n15\n16\n17\n16\n15\n16\n17\n17\n18\n19\n20\n21\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n5\n6\n7\n7\n8\n9\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n15\n14\n15\n16\n16\n17\n18\n19\n20\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n10\n11\n12\n12\n13\n14\n13\n14\n14\n15\n16\n17\n18\n", "0\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n10\n8\n9\n10\n11\n12\n12\n13\n14\n15\n16\n17\n18\n18\n17\n18\n19\n19\n20\n21\n22\n23\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n10\n11\n12\n12\n13\n14\n13\n14\n14\n15\n16\n17\n18\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n4\n5\n6\n7\n8\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n3\n4\n4\n5\n6\n7\n7\n6\n7\n5\n5\n5\n5\n5\n6\n6\n7\n7\n7\n6\n7\n8\n8\n9\n10\n8\n9\n10\n10\n11\n12\n10\n11\n11\n12\n13\n14\n15\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n9\n10\n11\n12\n13\n13\n14\n12\n13\n14\n15\n16\n16\n15\n16\n17\n17\n18\n19\n20\n21\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n16\n15\n16\n17\n17\n18\n19\n20\n21\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n5\n6\n7\n7\n8\n9\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n8\n6\n7\n8\n9\n10\n10\n11\n12\n13\n14\n15\n16\n16\n15\n16\n17\n17\n18\n19\n20\n21\n2\n3\n3\n4\n5\n6\n6\n5\n6\n5\n5\n5\n5\n5\n6\n6\n7\n7\n7\n6\n7\n8\n8\n9\n10\n11\n12\n13\n13\n14\n15\n14\n15\n15\n16\n17\n18\n19\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n18\n16\n17\n18\n19\n16\n17\n17\n18\n19\n20\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n10\n11\n12\n12\n13\n14\n13\n14\n14\n15\n16\n17\n18\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n12\n13\n14\n15\n14\n15\n16\n15\n14\n15\n16\n16\n17\n18\n19\n20\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "1\n1\n2\n3\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n16\n14\n15\n16\n17\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n1\n1\n1\n2\n2\n3\n3\n3\n2\n3\n4\n4\n5\n6\n7\n8\n9\n9\n10\n11\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n4\n5\n6\n7\n8\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n11\n12\n13\n14\n15\n15\n14\n15\n16\n16\n17\n18\n19\n20\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n5\n6\n7\n7\n8\n9\n7\n8\n9\n9\n10\n11\n10\n11\n11\n12\n13\n14\n15\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n7\n8\n9\n9\n7\n8\n9\n10\n11\n12\n13\n14\n15\n14\n15\n16\n15\n14\n15\n16\n16\n17\n18\n19\n20\n1\n2\n2\n3\n4\n5\n5\n4\n5\n5\n5\n5\n5\n5\n6\n6\n7\n7\n7\n6\n7\n8\n8\n9\n10\n8\n9\n10\n10\n11\n12\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n14\n13\n14\n15\n13\n11\n12\n13\n14\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n4\n5\n6\n7\n8\n9\n9\n10\n11\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n11\n12\n13\n14\n15\n15\n14\n15\n16\n14\n15\n16\n17\n18\n1\n2\n2\n2\n3\n4\n4\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n12\n13\n14\n15\n16\n14\n13\n14\n15\n15\n16\n17\n18\n19\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n5\n6\n7\n6\n7\n8\n8\n9\n9\n10\n11\n12\n13\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n19\n18\n19\n20\n20\n21\n22\n23\n24\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n18\n17\n18\n19\n19\n20\n21\n22\n23\n1\n2\n2\n3\n2\n3\n3\n2\n3\n3\n3\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n5\n6\n7\n7\n8\n9\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n18\n19\n20\n21\n22\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n10\n11\n12\n12\n13\n14\n13\n14\n14\n15\n16\n17\n18\n", "1\n2\n3\n0\n0\n0\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n17\n18\n19\n18\n16\n17\n18\n19\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n18\n16\n17\n18\n19\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n15\n16\n17\n", "1\n2\n3\n0\n0\n1\n", "0\n1\n2\n2\n3\n4\n5\n4\n4\n3\n4\n5\n6\n7\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n7\n8\n9\n9\n10\n11\n10\n11\n11\n12\n13\n14\n15\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n7\n8\n9\n9\n7\n8\n9\n10\n11\n12\n13\n14\n15\n14\n15\n16\n15\n14\n15\n16\n16\n17\n18\n19\n20\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n14\n13\n14\n15\n13\n11\n12\n13\n14\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n4\n5\n6\n7\n8\n9\n9\n10\n11\n11\n12\n12\n13\n14\n15\n16\n", "0\n1\n2\n2\n3\n3\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n18\n17\n18\n19\n19\n20\n21\n22\n23\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n8\n9\n10\n9\n10\n10\n11\n12\n13\n14\n", "1\n2\n3\n2\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n18\n16\n17\n18\n19\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n18\n19\n20\n21\n22\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n10\n11\n12\n12\n13\n14\n13\n14\n14\n15\n16\n17\n18\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n16\n17\n18\n18\n16\n17\n18\n19\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n12\n13\n13\n14\n15\n16\n17\n", "1\n2\n3\n0\n0\n0\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n11\n12\n13\n14\n15\n16\n17\n17\n17\n18\n19\n18\n16\n17\n18\n19\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n4\n5\n4\n4\n3\n4\n5\n6\n7\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n2\n3\n3\n4\n5\n6\n6\n5\n6\n4\n4\n4\n4\n4\n5\n5\n6\n6\n6\n5\n6\n7\n7\n8\n9\n7\n8\n9\n9\n10\n11\n10\n11\n11\n12\n13\n14\n15\n", "1\n2\n3\n0\n0\n0\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n4\n5\n6\n7\n2\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n11\n12\n13\n14\n15\n15\n14\n15\n16\n16\n17\n18\n19\n20\n1\n2\n2\n2\n3\n4\n4\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n9\n10\n11\n11\n12\n13\n12\n13\n13\n14\n15\n16\n17\n", "0\n1\n2\n2\n3\n4\n4\n3\n3\n2\n3\n4\n5\n6\n0\n0\n1\n2\n3\n4\n5\n6\n7\n8\n9\n8\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n17\n16\n17\n18\n18\n19\n20\n21\n22\n1\n2\n2\n3\n4\n5\n5\n4\n5\n3\n3\n3\n3\n3\n4\n4\n5\n5\n5\n4\n5\n6\n6\n7\n8\n6\n7\n8\n7\n8\n9\n8\n9\n9\n10\n11\n12\n13\n", "0\n1\n2\n2\n3\n4\n5\n4\n5\n3\n3\n4\n5\n6\n1\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n9\n8\n9\n10\n11\n12\n12\n13\n14\n15\n16\n17\n18\n18\n17\n18\n19\n19\n17\n18\n19\n20\n0\n1\n1\n2\n3\n4\n4\n3\n4\n2\n2\n2\n2\n2\n3\n3\n4\n4\n4\n3\n4\n5\n5\n6\n7\n8\n9\n10\n10\n11\n12\n12\n13\n13\n14\n13\n14\n15\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Thor is getting used to the Earth. As a gift Loki gave him a smartphone. There are n applications on this phone. Thor is fascinated by this phone. He has only one minor issue: he can't count the number of unread notifications generated by those applications (maybe Loki put a curse on it so he can't). q events are about to happen (in chronological order). They are of three types: 1. Application x generates a notification (this new notification is unread). 2. Thor reads all notifications generated so far by application x (he may re-read some notifications). 3. Thor reads the first t notifications generated by phone applications (notifications generated in first t events of the first type). It's guaranteed that there were at least t events of the first type before this event. Please note that he doesn't read first t unread notifications, he just reads the very first t notifications generated on his phone and he may re-read some of them in this operation. Please help Thor and tell him the number of unread notifications after each event. You may assume that initially there are no notifications in the phone. Input The first line of input contains two integers n and q (1 ≤ n, q ≤ 300 000) — the number of applications and the number of events to happen. The next q lines contain the events. The i-th of these lines starts with an integer typei — type of the i-th event. If typei = 1 or typei = 2 then it is followed by an integer xi. Otherwise it is followed by an integer ti (1 ≤ typei ≤ 3, 1 ≤ xi ≤ n, 1 ≤ ti ≤ q). Output Print the number of unread notifications after each event. Examples Input 3 4 1 3 1 1 1 2 2 3 Output 1 2 3 2 Input 4 6 1 2 1 4 1 2 3 3 1 3 1 3 Output 1 2 3 0 1 2 Note In the first sample: 1. Application 3 generates a notification (there is 1 unread notification). 2. Application 1 generates a notification (there are 2 unread notifications). 3. Application 2 generates a notification (there are 3 unread notifications). 4. Thor reads the notification generated by application 3, there are 2 unread notifications left. In the second sample test: 1. Application 2 generates a notification (there is 1 unread notification). 2. Application 4 generates a notification (there are 2 unread notifications). 3. Application 2 generates a notification (there are 3 unread notifications). 4. Thor reads first three notifications and since there are only three of them so far, there will be no unread notification left. 5. Application 3 generates a notification (there is 1 unread notification). 6. Application 3 generates a notification (there are 2 unread notifications). ### Input: 3 4 1 3 1 1 1 2 2 3 ### Output: 1 2 3 2 ### Input: 4 6 1 2 1 4 1 2 3 3 1 3 1 3 ### Output: 1 2 3 0 1 2 ### Code: n , q = map(int, input().split()) stacks = [[] for i in range(n + 1)] queue = [] q_start = 0 unread = 0 ans = [] for i in range(q): action, num = map(int, input().split()) if action == 1: queue.append(0) stacks[num].append(len(queue) - 1) unread += 1 elif action == 2: for i in range(len(stacks[num])): if stacks[num][i] >= q_start and queue[stacks[num][i]] == 0: queue[stacks[num][i]] = 1 unread -= 1 stacks[num] = [] else: for i in range(q_start, num): if queue[i] == 0: queue[i] = 1 unread -= 1 q_start = max(q_start, num) ans.append(unread) print("\n".join(map(str, ans)))
725_F. Family Photos_34686
Alice and Bonnie are sisters, but they don't like each other very much. So when some old family photos were found in the attic, they started to argue about who should receive which photos. In the end, they decided that they would take turns picking photos. Alice goes first. There are n stacks of photos. Each stack contains exactly two photos. In each turn, a player may take only a photo from the top of one of the stacks. Each photo is described by two non-negative integers a and b, indicating that it is worth a units of happiness to Alice and b units of happiness to Bonnie. Values of a and b might differ for different photos. It's allowed to pass instead of taking a photo. The game ends when all photos are taken or both players pass consecutively. The players don't act to maximize their own happiness. Instead, each player acts to maximize the amount by which her happiness exceeds her sister's. Assuming both players play optimal, find the difference between Alice's and Bonnie's happiness. That is, if there's a perfectly-played game such that Alice has x happiness and Bonnie has y happiness at the end, you should print x - y. Input The first line of input contains a single integer n (1 ≤ n ≤ 100 000) — the number of two-photo stacks. Then follow n lines, each describing one of the stacks. A stack is described by four space-separated non-negative integers a1, b1, a2 and b2, each not exceeding 109. a1 and b1 describe the top photo in the stack, while a2 and b2 describe the bottom photo in the stack. Output Output a single integer: the difference between Alice's and Bonnie's happiness if both play optimally. Examples Input 2 12 3 4 7 1 15 9 1 Output 1 Input 2 5 4 8 8 4 12 14 0 Output 4 Input 1 0 10 0 10 Output -10
num_stacks = int(input()) answer = 0 array = [] for i in range(num_stacks): a1, b1, a2, b2 = input().split(' ') a1 = int(a1) a2 = int(a2) b1 = int(b1) b2 = int(b2) if a1 + b1 >= a2 + b2: answer += a1 + a2 array.append(a2 + b2) array.append(a1 + b1) elif a1 > b2: answer += a1 - b2 elif b1 > a2: answer += a2 - b1 # Elif both side skip array.sort() for i in range(0, len(array), 2): answer -= array[i] print(answer)
{ "input": [ "1\n0 10 0 10\n", "2\n12 3 4 7\n1 15 9 1\n", "2\n5 4 8 8\n4 12 14 0\n", "10\n31181 6 72281 7\n65255 10 17867 2\n96212 8 32852 10\n69668 6 37236 1\n6031 7 61541 0\n12286 4 40227 2\n30573 9 36317 3\n97429 6 35399 9\n20907 5 19251 8\n86446 8 56301 10\n", "10\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n", "10\n3 86311 1 17635\n6 34036 8 37167\n4 53806 6 25588\n3 91425 4 86666\n6 50210 10 7332\n4 59721 10 697\n0 15949 2 66047\n0 68146 10 70354\n2 1075 0 23359\n5 48622 9 70531\n", "2\n252323306 923185060 41887968 12082849\n956989832 311441362 23412620 77648740\n", "10\n7 4 5 3\n6 7 10 1\n1 6 3 7\n3 4 6 0\n9 7 3 9\n9 1 10 10\n5 10 7 6\n8 5 1 9\n1 8 8 4\n7 5 9 4\n", "4\n632771442 501825496 853869326 796417562\n250298560 151058732 702922596 492637085\n688226592 702784823 444110577 613300642\n809656720 636217627 270335668 655753596\n", "10\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n", "1\n618436682 429762104 387908221 774440069\n", "2\n161177104 219082322 609600790 834825669\n28637550 764143871 832346520 978676472\n", "1\n0 0 0 0\n", "3\n90031019 712505278 263580537 367435742\n66829732 915548158 31385852 432626559\n510612253 671761432 753952282 230959195\n", "7\n479456257 682467462 202838061 802929167\n133179116 541657110 703996842 253385760\n559317856 865639323 321812660 580155067\n723036605 467995973 911771109 838534160\n732332969 59715289 216696388 60573917\n515702466 655741352 105418444 651954316\n884987644 907866122 399463262 952777963\n", "10\n31181 6 33890 7\n65255 10 17867 2\n96212 8 32852 10\n69668 6 37236 1\n6031 7 61541 0\n12286 4 40227 2\n30573 9 36317 3\n97429 6 35399 9\n20907 5 19251 8\n86446 8 56301 10\n", "10\n1000000000 0 1100000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n", "10\n3 86311 1 17635\n6 34036 8 37167\n4 53806 6 25588\n3 91425 4 86666\n6 13217 10 7332\n4 59721 10 697\n0 15949 2 66047\n0 68146 10 70354\n2 1075 0 23359\n5 48622 9 70531\n", "2\n252323306 923185060 28480032 12082849\n956989832 311441362 23412620 77648740\n", "10\n7 4 5 3\n6 7 10 1\n1 6 3 7\n3 4 6 0\n9 8 3 9\n9 1 10 10\n5 10 7 6\n8 5 1 9\n1 8 8 4\n7 5 9 4\n", "4\n376789650 501825496 853869326 796417562\n250298560 151058732 702922596 492637085\n688226592 702784823 444110577 613300642\n809656720 636217627 270335668 655753596\n", "10\n0 1000000000 0 1000000000\n0 1000001000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n", "1\n356241850 429762104 387908221 774440069\n", "1\n0 0 -1 0\n", "3\n24066193 712505278 263580537 367435742\n66829732 915548158 31385852 432626559\n510612253 671761432 753952282 230959195\n", "7\n479456257 682467462 202838061 802929167\n133179116 541657110 703996842 253385760\n829210948 865639323 321812660 580155067\n723036605 467995973 911771109 838534160\n732332969 59715289 216696388 60573917\n515702466 655741352 105418444 651954316\n884987644 907866122 399463262 952777963\n", "1\n0 10 0 19\n", "2\n5 4 0 8\n4 12 14 0\n", "10\n31181 6 33890 7\n65255 10 17867 2\n96212 8 32852 10\n69668 6 37236 1\n6031 7 61541 0\n12286 4 40227 2\n30573 9 36317 1\n97429 6 35399 9\n20907 5 19251 8\n86446 8 56301 10\n", "10\n1000000000 0 1100000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000001000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n", "10\n3 86311 1 17635\n6 34036 8 37167\n1 53806 6 25588\n3 91425 4 86666\n6 13217 10 7332\n4 59721 10 697\n0 15949 2 66047\n0 68146 10 70354\n2 1075 0 23359\n5 48622 9 70531\n", "2\n252323306 34213620 28480032 12082849\n956989832 311441362 23412620 77648740\n", "10\n7 4 5 3\n6 7 10 1\n1 6 3 7\n3 4 6 0\n9 8 3 9\n9 1 10 10\n5 10 7 6\n8 5 1 9\n1 8 8 4\n7 5 9 1\n", "4\n376789650 501825496 853869326 796417562\n250298560 151058732 702922596 492637085\n688226592 702784823 496307711 613300642\n809656720 636217627 270335668 655753596\n", "3\n24066193 712505278 312128103 367435742\n66829732 915548158 31385852 432626559\n510612253 671761432 753952282 230959195\n", "2\n12 1 1 7\n1 15 9 1\n", "2\n5 4 0 2\n4 12 14 0\n", "10\n31181 6 33890 7\n65255 10 17867 2\n96212 8 32852 10\n37797 6 37236 1\n6031 7 61541 0\n12286 4 40227 2\n30573 9 36317 1\n97429 6 35399 9\n20907 5 19251 8\n86446 8 56301 10\n", "2\n252323306 34213620 28480032 4961058\n956989832 311441362 23412620 77648740\n", "7\n479456257 926507357 202838061 802929167\n133179116 541657110 703996842 253385760\n829210948 865639323 321812660 580155067\n723036605 611918584 911771109 838534160\n732332969 59715289 216696388 60573917\n515702466 655741352 105418444 651954316\n884987644 907866122 399463262 952777963\n", "1\n0 10 1 11\n", "2\n12 1 1 5\n1 15 9 1\n", "2\n5 4 0 3\n4 12 14 0\n", "10\n31181 6 33890 7\n65255 10 17867 1\n96212 8 32852 10\n37797 6 37236 1\n6031 7 61541 0\n12286 4 40227 2\n30573 9 36317 1\n97429 6 35399 9\n20907 5 19251 8\n86446 8 56301 10\n", "10\n3 86311 1 17635\n6 34036 11 37167\n1 53806 6 25588\n3 91425 4 86666\n6 13217 10 7332\n4 59721 10 697\n0 15949 2 66047\n0 68146 19 70354\n2 1075 0 23359\n5 48622 9 70531\n", "2\n252323306 34213620 28480032 4961058\n956989832 311441362 39788809 77648740\n", "10\n0 1000000000 0 1000000000\n0 1000001000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 1 1000000000\n0 1000000000 0 1000000000\n1 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000010\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n", "3\n24066193 712505278 312128103 367435742\n66829732 915548158 31385852 432626559\n510612253 671761432 1306198318 291186445\n", "10\n1000000000 0 1100000000 0\n1000000000 0 1000000011 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000001000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 1 1000000000 0\n", "2\n12 3 1 7\n1 15 9 1\n", "10\n0 1000000000 0 1000000000\n0 1000001000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000010\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n", "1\n465051040 429762104 387908221 774440069\n", "1\n0 -1 -1 0\n", "7\n479456257 682467462 202838061 802929167\n133179116 541657110 703996842 253385760\n829210948 865639323 321812660 580155067\n723036605 611918584 911771109 838534160\n732332969 59715289 216696388 60573917\n515702466 655741352 105418444 651954316\n884987644 907866122 399463262 952777963\n", "1\n0 10 0 11\n", "10\n1000000000 0 1100000000 0\n1000000000 0 1000000010 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000001000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n", "10\n3 86311 1 17635\n6 34036 11 37167\n1 53806 6 25588\n3 91425 4 86666\n6 13217 10 7332\n4 59721 10 697\n0 15949 2 66047\n0 68146 10 70354\n2 1075 0 23359\n5 48622 9 70531\n", "10\n7 4 5 6\n6 7 10 1\n1 6 3 7\n3 4 6 0\n9 8 3 9\n9 1 10 10\n5 10 7 6\n8 5 1 9\n1 8 8 4\n7 5 9 1\n", "4\n376789650 501825496 853869326 796417562\n250298560 151058732 702922596 492637085\n688226592 702784823 496307711 613300642\n809656720 636217627 181447617 655753596\n", "10\n0 1000000000 0 1000000000\n0 1000001000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n1 1000000000 0 1000000000\n0 1000000000 0 1000000000\n0 1000000000 0 1000000010\n0 1000000000 0 1000000000\n0 1000000000 0 1000000000\n", "1\n309156041 429762104 387908221 774440069\n", "1\n0 -1 -1 1\n", "3\n24066193 712505278 312128103 367435742\n66829732 915548158 31385852 432626559\n510612253 671761432 1306198318 230959195\n", "10\n1000000000 0 1100000000 0\n1000000000 0 1000000011 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000001000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n1000000000 0 1000000000 0\n", "10\n7 1 5 6\n6 7 10 1\n1 6 3 7\n3 4 6 0\n9 8 3 9\n9 1 10 10\n5 10 7 6\n8 5 1 9\n1 8 8 4\n7 5 9 1\n", "4\n376789650 501825496 853869326 796417562\n250298560 84495039 702922596 492637085\n688226592 702784823 496307711 613300642\n809656720 636217627 181447617 655753596\n", "1\n309156041 429762104 545314858 774440069\n", "7\n479456257 926507357 202838061 802929167\n133179116 541657110 703996842 253385760\n829210948 865639323 321812660 580155067\n723036605 611918584 911771109 838534160\n732332969 59715289 216696388 60573917\n515702466 790149208 105418444 651954316\n884987644 907866122 399463262 952777963\n", "2\n12 1 2 5\n1 15 9 1\n", "2\n5 4 0 3\n4 5 14 0\n", "10\n31181 6 33890 7\n65255 10 12781 1\n96212 8 32852 10\n37797 6 37236 1\n6031 7 61541 0\n12286 4 40227 2\n30573 9 36317 1\n97429 6 35399 9\n20907 5 19251 8\n86446 8 56301 10\n", "10\n3 86311 1 17635\n6 34036 11 37167\n1 53806 6 25588\n3 91425 4 86666\n6 13217 10 7332\n4 59721 10 697\n0 15949 2 66047\n0 68146 19 70354\n2 1075 0 23359\n5 48622 9 114409\n" ], "output": [ "-10", "1", "4", "418488", "10000000000", "-382702", "45134543", "5", "-104771122", "-10000000000", "-41853883", "0", "0", "-535068510", "-253460781", "418488\n", "10000000000\n", "-353667\n", "45134543\n", "5\n", "-104771122\n", "-10000000000\n", "-41853883\n", "0\n", "-535068510\n", "-253460781\n", "-10\n", "1\n", "418490\n", "10000001000\n", "-353670\n", "934105983\n", "8\n", "-52573988\n", "-486520944\n", "2\n", "7\n", "409536\n", "941227774\n", "-434258188\n", "-9\n", "4\n", "6\n", "409537\n", "-353658\n", "957603963\n", "-9999999999\n", "-546748194\n", "10000000999\n", "0\n", "-10000000000\n", "-41853883\n", "0\n", "-253460781\n", "-10\n", "10000001000\n", "-353667\n", "5\n", "-52573988\n", "-10000000000\n", "-41853883\n", "0\n", "-486520944\n", "10000001000\n", "5\n", "-52573988\n", "0\n", "-434258188\n", "4\n", "6\n", "409537\n", "-353658\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Alice and Bonnie are sisters, but they don't like each other very much. So when some old family photos were found in the attic, they started to argue about who should receive which photos. In the end, they decided that they would take turns picking photos. Alice goes first. There are n stacks of photos. Each stack contains exactly two photos. In each turn, a player may take only a photo from the top of one of the stacks. Each photo is described by two non-negative integers a and b, indicating that it is worth a units of happiness to Alice and b units of happiness to Bonnie. Values of a and b might differ for different photos. It's allowed to pass instead of taking a photo. The game ends when all photos are taken or both players pass consecutively. The players don't act to maximize their own happiness. Instead, each player acts to maximize the amount by which her happiness exceeds her sister's. Assuming both players play optimal, find the difference between Alice's and Bonnie's happiness. That is, if there's a perfectly-played game such that Alice has x happiness and Bonnie has y happiness at the end, you should print x - y. Input The first line of input contains a single integer n (1 ≤ n ≤ 100 000) — the number of two-photo stacks. Then follow n lines, each describing one of the stacks. A stack is described by four space-separated non-negative integers a1, b1, a2 and b2, each not exceeding 109. a1 and b1 describe the top photo in the stack, while a2 and b2 describe the bottom photo in the stack. Output Output a single integer: the difference between Alice's and Bonnie's happiness if both play optimally. Examples Input 2 12 3 4 7 1 15 9 1 Output 1 Input 2 5 4 8 8 4 12 14 0 Output 4 Input 1 0 10 0 10 Output -10 ### Input: 1 0 10 0 10 ### Output: -10 ### Input: 2 12 3 4 7 1 15 9 1 ### Output: 1 ### Code: num_stacks = int(input()) answer = 0 array = [] for i in range(num_stacks): a1, b1, a2, b2 = input().split(' ') a1 = int(a1) a2 = int(a2) b1 = int(b1) b2 = int(b2) if a1 + b1 >= a2 + b2: answer += a1 + a2 array.append(a2 + b2) array.append(a1 + b1) elif a1 > b2: answer += a1 - b2 elif b1 > a2: answer += a2 - b1 # Elif both side skip array.sort() for i in range(0, len(array), 2): answer -= array[i] print(answer)
770_C. Online Courses In BSU_34692
Now you can take online courses in the Berland State University! Polycarp needs to pass k main online courses of his specialty to get a diploma. In total n courses are availiable for the passage. The situation is complicated by the dependence of online courses, for each course there is a list of those that must be passed before starting this online course (the list can be empty, it means that there is no limitation). Help Polycarp to pass the least number of courses in total to get the specialty (it means to pass all main and necessary courses). Write a program which prints the order of courses. Polycarp passes courses consistently, he starts the next course when he finishes the previous one. Each course can't be passed more than once. Input The first line contains n and k (1 ≤ k ≤ n ≤ 105) — the number of online-courses and the number of main courses of Polycarp's specialty. The second line contains k distinct integers from 1 to n — numbers of main online-courses of Polycarp's specialty. Then n lines follow, each of them describes the next course: the i-th of them corresponds to the course i. Each line starts from the integer ti (0 ≤ ti ≤ n - 1) — the number of courses on which the i-th depends. Then there follows the sequence of ti distinct integers from 1 to n — numbers of courses in random order, on which the i-th depends. It is guaranteed that no course can depend on itself. It is guaranteed that the sum of all values ti doesn't exceed 105. Output Print -1, if there is no the way to get a specialty. Otherwise, in the first line print the integer m — the minimum number of online-courses which it is necessary to pass to get a specialty. In the second line print m distinct integers — numbers of courses which it is necessary to pass in the chronological order of their passage. If there are several answers it is allowed to print any of them. Examples Input 6 2 5 3 0 0 0 2 2 1 1 4 1 5 Output 5 1 2 3 4 5 Input 9 3 3 9 5 0 0 3 9 4 5 0 0 1 8 1 6 1 2 2 1 2 Output 6 1 2 9 4 5 3 Input 3 3 1 2 3 1 2 1 3 1 1 Output -1 Note In the first test firstly you can take courses number 1 and 2, after that you can take the course number 4, then you can take the course number 5, which is the main. After that you have to take only the course number 3, which is the last not passed main course.
f = lambda: map(int, input().split()) g = lambda: [[] for x in range(n)] n, k = f() n += 1 s, p = [], list(f()) c, d = [0] * n, [0] * n u, v = g(), g() for x in range(1, n): t = list(f()) m = t.pop(0) if m: c[x] = m v[x] = t for y in t: u[y].append(x) else: s.append(x) d[x] = 1 while s: x = s.pop() for y in u[x]: c[y] -= 1 d[y] = max(d[y], d[x] + 1) if c[y] == 0: s.append(y) if any(c[x] for x in p): print(-1) exit() q = [0] * n while p: x = p.pop() if q[x] == 0: p += v[x] q[x] = 1 p = sorted((d[x], x) for x in range(n) if q[x]) print(len(p)) for d, x in p: print(x)
{ "input": [ "3 3\n1 2 3\n1 2\n1 3\n1 1\n", "9 3\n3 9 5\n0\n0\n3 9 4 5\n0\n0\n1 8\n1 6\n1 2\n2 1 2\n", "6 2\n5 3\n0\n0\n0\n2 2 1\n1 4\n1 5\n", "9 2\n6 9\n2 3 9\n0\n1 8\n1 6\n3 3 6 7\n1 2\n1 9\n0\n0\n", "6 1\n2\n0\n0\n1 6\n0\n1 2\n0\n", "8 5\n6 4 7 5 1\n1 7\n1 6\n1 1\n0\n0\n0\n1 5\n1 7\n", "3 3\n3 1 2\n0\n0\n0\n", "12 4\n5 1 7 3\n0\n3 4 5 12\n0\n1 10\n1 12\n1 9\n3 3 4 9\n1 1\n1 11\n1 5\n2 1 4\n0\n", "9 6\n7 3 1 6 4 2\n1 3\n0\n1 7\n1 8\n1 4\n1 7\n1 8\n0\n2 1 7\n", "3 2\n3 1\n1 3\n0\n0\n", "4 2\n3 2\n0\n1 4\n1 1\n0\n", "10 2\n9 4\n0\n0\n0\n0\n1 7\n0\n0\n1 9\n0\n0\n", "12 9\n2 10 6 3 4 12 7 1 5\n0\n0\n0\n1 8\n0\n1 8\n0\n1 3\n0\n0\n0\n1 8\n", "10 4\n2 5 10 9\n2 2 4\n5 3 4 6 7 10\n2 7 10\n4 1 3 8 10\n2 6 10\n2 7 10\n1 1\n3 6 7 10\n1 7\n3 1 7 8\n", "5 1\n5\n1 4\n2 1 4\n2 4 5\n2 2 5\n1 1\n", "10 3\n1 6 3\n1 4\n1 4\n0\n0\n2 3 10\n1 2\n0\n1 4\n0\n1 2\n", "8 5\n2 1 5 7 6\n1 8\n3 3 4 6\n0\n0\n1 6\n0\n0\n0\n", "6 6\n4 1 6 3 2 5\n2 3 5\n4 1 3 4 5\n1 5\n2 3 5\n0\n2 1 5\n", "5 3\n2 1 4\n0\n0\n1 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6\n5 1 2 3 6 4\n0\n0\n0\n0\n1 4\n1 1\n", "8 8\n6 3 1 2 4 8 5 7\n0\n0\n0\n2 5 7\n0\n1 5\n0\n1 1\n", "5 4\n5 2 1 3\n2 3 5\n1 3\n0\n0\n2 2 4\n", "6 2\n5 2\n1 4\n0\n1 2\n0\n0\n1 5\n", "9 8\n4 8 6 9 5 7 2 3\n0\n1 4\n0\n3 2 6 8\n1 6\n1 7\n0\n0\n2 3 6\n", "5 1\n3\n2 4 5\n0\n0\n0\n1 3\n", "10 10\n6 2 4 5 8 1 9 3 10 7\n4 2 7 8 9\n2 7 9\n5 1 6 8 9 10\n2 7 9\n6 1 4 6 7 8 9\n1 8\n0\n2 4 9\n0\n4 2 4 7 9\n", "8 5\n2 5 8 3 1\n3 2 5 6\n1 5\n1 4\n5 1 5 6 7 8\n0\n2 2 8\n4 1 3 5 6\n1 2\n", "10 5\n4 8 3 1 6\n0\n1 10\n0\n0\n1 3\n2 3 5\n1 3\n1 10\n2 1 6\n0\n", "7 2\n5 1\n4 2 5 6 7\n1 5\n5 1 2 5 6 7\n1 2\n0\n0\n4 2 4 5 6\n", "8 6\n8 3 6 4 7 5\n0\n1 4\n1 4\n1 8\n1 7\n1 4\n0\n0\n", "3 2\n3 2\n0\n1 1\n1 2\n", "5 2\n4 5\n2 3 4\n1 4\n1 4\n0\n0\n", "12 3\n8 10 11\n4 2 5 6 7\n5 4 7 8 10 11\n6 2 4 5 6 8 10\n2 6 8\n0\n3 5 7 8\n0\n2 3 7\n8 2 4 5 6 8 10 11 12\n2 4 7\n6 2 3 5 6 7 12\n5 1 3 6 7 8\n", "11 5\n10 11 8 2 7\n1 9\n1 3\n0\n1 6\n1 1\n0\n0\n1 2\n2 4 8\n0\n0\n", "5 2\n2 4\n1 2\n0\n1 2\n1 2\n0\n", "7 4\n7 5 4 2\n0\n2 6 7\n0\n1 3\n2 2 6\n0\n2 3 4\n", "9 5\n3 8 2 5 1\n1 5\n3 1 6 7\n3 4 6 8\n3 2 6 9\n2 7 9\n2 5 7\n1 2\n2 4 5\n2 1 6\n", "12 1\n4\n2 4 11\n1 8\n2 2 5\n0\n0\n1 3\n0\n0\n1 2\n1 9\n2 2 6\n0\n", "5 2\n2 1\n1 3\n1 3\n1 1\n3 1 2 3\n1 3\n", "12 10\n4 10 9 6 7 2 1 11 3 8\n1 4\n0\n7 2 4 5 6 7 8 11\n3 1 10 11\n3 4 8 12\n6 4 7 8 10 11 12\n2 2 11\n1 11\n6 3 4 8 10 11 12\n1 12\n1 1\n0\n", "10 5\n2 1 10 4 9\n2 3 6\n5 1 6 7 8 10\n3 4 6 7\n2 1 6\n2 6 7\n1 3\n1 4\n3 5 6 10\n4 1 2 8 10\n4 1 5 6 7\n", "12 2\n10 5\n0\n0\n3 1 5 11\n1 3\n0\n1 1\n2 5 9\n2 5 7\n1 8\n2 6 9\n0\n1 1\n", "4 4\n1 3 2 4\n1 3\n1 3\n0\n1 2\n", "4 2\n2 3\n2 3 4\n1 1\n0\n0\n", "4 1\n2\n0\n0\n2 1 4\n2 1 2\n", "5 3\n2 5 1\n1 2\n0\n0\n1 5\n0\n", "7 6\n4 3 2 1 6 5\n0\n2 4 5\n1 6\n1 7\n1 6\n0\n1 4\n", "3 2\n2 1\n0\n0\n0\n", "2 1\n2\n1 2\n1 1\n", "7 5\n1 5 4 7 2\n1 4\n4 1 4 6 7\n2 1 4\n1 6\n3 3 4 7\n0\n0\n", "6 6\n4 2 5 6 1 3\n1 3\n0\n2 5 6\n2 2 6\n1 2\n1 4\n", "3 3\n1 3 2\n0\n1 3\n1 1\n", "5 5\n2 1 5 4 3\n1 4\n0\n0\n0\n1 2\n", "11 3\n9 11 5\n0\n0\n0\n0\n1 8\n0\n2 1 11\n0\n1 2\n0\n0\n", "11 11\n3 2 1 7 8 4 10 11 9 6 5\n3 2 7 11\n0\n0\n1 11\n1 1\n1 8\n2 4 5\n0\n1 4\n0\n0\n", "11 6\n6 3 11 1 9 4\n6 2 3 6 7 8 9\n4 5 6 8 10\n4 1 2 6 8\n7 1 3 5 6 7 9 11\n4 3 6 7 8\n1 8\n2 3 9\n0\n0\n5 1 5 7 8 9\n5 1 2 3 7 8\n", "5 3\n5 2 4\n1 4\n0\n0\n0\n0\n", "8 3\n3 1 8\n0\n3 4 6 7\n2 6 7\n2 3 6\n2 4 6\n1 1\n1 1\n1 3\n", "8 3\n4 3 1\n0\n0\n0\n0\n0\n0\n0\n0\n", "4 1\n4\n2 2 4\n0\n1 2\n0\n", "8 8\n3 1 2 7 8 4 5 6\n2 4 8\n2 3 8\n1 6\n0\n2 4 6\n0\n5 2 3 4 5 8\n2 3 4\n", "8 2\n2 6\n0\n0\n0\n2 5 7\n0\n2 1 2\n0\n3 1 2 3\n", "10 3\n8 4 1\n1 3\n0\n0\n0\n1 1\n2 10 9\n1 4\n3 5 1 2\n2 2 7\n2 8 4\n", "7 6\n3 7 4 1 6 2\n2 4 6\n0\n0\n3 2 3 5\n1 3\n1 2\n3 1 5 6\n", "7 1\n4\n0\n6 1 3 4 5 6 7\n4 1 4 6 7\n2 1 7\n4 1 3 6 7\n2 3 4\n0\n", "5 4\n3 2 1 4\n1 2\n0\n0\n0\n0\n", "11 7\n6 9 7 3 4 10 11\n4 3 6 8 11\n3 3 5 9\n2 6 7\n1 6\n1 4\n0\n0\n2 7 9\n0\n2 4 11\n3 6 7 9\n", "2 2\n1 2\n1 2\n0\n", "3 3\n1 2 3\n0\n1 1\n2 1 2\n", "12 3\n4 7 8\n2 11 12\n0\n0\n2 3 9\n3 7 11 12\n5 1 3 7 8 10\n1 3\n0\n2 2 8\n1 11\n0\n2 8 11\n", "4 2\n4 3\n0\n0\n0\n0\n", "12 10\n9 11 3 6 4 12 2 7 10 8\n1 7\n3 7 8 9\n3 1 8 11\n4 1 7 9 10\n1 4\n1 12\n1 2\n1 2\n0\n2 1 9\n1 7\n1 7\n", "11 7\n11 2 1 7 9 8 6\n0\n7 3 4 5 6 8 10 11\n3 1 5 8\n1 11\n3 1 7 8\n7 1 3 4 5 7 8 10\n3 4 6 8\n1 5\n2 8 10\n4 1 4 5 7\n5 1 4 6 8 10\n", "8 8\n5 8 7 2 1 3 4 6\n1 3\n3 1 3 4\n0\n0\n1 1\n1 5\n0\n2 4 6\n", "9 2\n7 4\n1 2\n0\n1 7\n0\n1 1\n0\n0\n2 2 6\n1 5\n", "10 8\n1 5 4 10 6 2 3 9\n7 3 4 5 6 7 8 10\n1 5\n4 2 5 7 10\n3 2 5 6\n0\n3 2 5 7\n1 2\n8 1 2 3 5 6 7 9 10\n4 2 4 6 7\n3 4 6 7\n", "6 6\n4 5 1 6 3 2\n0\n1 6\n1 1\n2 1 3\n1 1\n2 1 3\n", "10 1\n7\n2 4 10\n1 8\n2 4 8\n0\n1 3\n1 2\n2 3 5\n1 7\n0\n1 1\n", "10 8\n6 8 2 1 7 10 3 4\n0\n2 1 4\n2 6 7\n0\n3 1 8 9\n3 1 8 9\n0\n0\n1 6\n1 8\n", "9 8\n2 8 4 7 3 6 9 5\n0\n1 4\n0\n0\n0\n1 8\n0\n3 2 3 7\n0\n", "11 10\n5 8 7 6 1 4 9 3 2 11\n3 3 8 10\n2 4 8\n1 5\n2 1 11\n1 4\n3 4 8 9\n2 3 11\n1 5\n3 1 5 8\n2 3 5\n0\n", "8 7\n2 5 3 6 4 8 1\n3 3 5 6\n1 3\n2 4 5\n4 1 2 5 6\n2 1 2\n2 2 8\n1 2\n2 6 7\n", "9 8\n4 2 9 1 8 3 7 6\n0\n2 1 8\n0\n0\n1 1\n2 1 8\n2 6 8\n3 4 5 9\n5 1 2 5 7 8\n", "2 2\n2 1\n0\n1 1\n", "11 5\n3 2 5 7 6\n4 3 5 7 9\n2 7 9\n3 7 9 11\n5 5 6 7 9 10\n3 7 9 11\n6 2 3 5 7 10 11\n0\n2 7 10\n0\n2 2 11\n2 7 9\n", "8 7\n6 3 7 8 1 5 4\n0\n2 1 5\n0\n2 7 8\n1 4\n0\n0\n0\n", "12 9\n9 2 5 7 6 1 10 12 11\n0\n3 6 7 12\n1 4\n1 7\n1 3\n1 1\n0\n0\n2 1 4\n1 3\n0\n2 2 10\n", "2 2\n2 1\n1 2\n1 1\n", "2 2\n2 1\n0\n0\n", "6 5\n3 4 1 6 5\n2 2 6\n2 4 5\n1 1\n0\n1 4\n0\n", "11 6\n7 1 10 3 2 11\n0\n1 11\n0\n0\n1 9\n1 5\n0\n0\n0\n0\n0\n", "4 4\n2 3 1 4\n0\n2 1 3\n2 1 4\n0\n", "3 1\n1\n0\n1 1\n0\n", "5 1\n2\n3 2 3 4\n0\n2 2 4\n0\n4 1 2 3 4\n", "4 4\n3 1 4 2\n1 4\n0\n0\n0\n", "7 2\n1 2\n0\n0\n3 2 4 6\n1 3\n1 6\n1 5\n0\n", "3 1\n1\n2 2 3\n0\n1 2\n", "7 6\n6 3 5 1 4 7\n0\n0\n0\n0\n1 1\n1 2\n1 1\n", "11 2\n10 7\n5 2 3 6 10 11\n0\n1 8\n5 1 3 6 9 10\n4 1 2 3 6\n1 5\n5 2 6 9 10 11\n5 2 3 4 7 11\n3 3 6 8\n6 2 4 5 6 8 9\n3 2 3 5\n", "4 1\n1\n2 2 3\n0\n2 2 4\n0\n", "11 11\n11 6 4 7 8 5 1 3 2 9 10\n5 3 4 7 9 11\n0\n1 2\n1 3\n2 3 4\n6 1 3 4 8 10 11\n1 3\n2 2 4\n3 2 4 11\n5 4 5 7 9 11\n4 2 3 4 7\n", "5 2\n1 3\n0\n2 4 5\n0\n1 2\n2 1 2\n", "4 1\n1\n0\n1 1\n0\n0\n", "10 5\n6 9 8 5 2\n2 7 9\n4 4 5 6 7\n2 6 7\n2 5 8\n2 6 9\n1 9\n2 2 6\n3 1 2 7\n3 3 5 6\n6 1 2 5 6 8 9\n", "12 1\n10\n0\n1 12\n2 2 9\n0\n2 1 2\n3 1 7 8\n3 8 9 10\n0\n0\n3 5 11 12\n0\n0\n", "12 10\n2 6 1 5 7 9 10 8 12 3\n1 10\n1 9\n1 11\n0\n1 10\n0\n1 3\n1 7\n1 6\n1 11\n0\n0\n", "6 1\n3\n2 4 6\n2 4 6\n2 1 2\n1 2\n1 2\n1 5\n", "2 1\n1\n0\n0\n", "3 2\n3 2\n0\n1 3\n1 1\n", "7 4\n2 1 6 7\n0\n2 3 6\n1 6\n0\n2 1 3\n1 7\n0\n", "7 4\n1 7 6 2\n1 7\n0\n0\n0\n1 1\n0\n0\n", "9 4\n5 1 2 3\n1 7\n0\n1 8\n0\n0\n3 1 5 8\n1 6\n2 5 7\n2 1 4\n", "9 9\n6 3 1 4 2 9 5 7 8\n0\n0\n0\n0\n0\n0\n0\n0\n0\n", "4 4\n3 2 1 4\n2 2 3\n1 1\n1 2\n1 3\n", "6 5\n2 4 1 3 5\n0\n0\n0\n1 1\n0\n1 3\n", "11 6\n4 2 9 7 3 1\n1 11\n0\n1 10\n1 11\n3 7 8 10\n1 11\n1 11\n1 11\n0\n1 2\n1 2\n", "9 3\n8 5 3\n3 3 6 9\n1 5\n1 5\n1 8\n1 2\n1 3\n1 9\n1 5\n0\n", "10 1\n1\n1 5\n1 1\n3 4 6 10\n1 1\n0\n4 1 2 5 9\n4 1 6 9 10\n6 1 2 3 6 9 10\n2 2 5\n4 1 2 5 9\n", "8 5\n7 1 2 8 3\n0\n0\n0\n0\n0\n0\n0\n0\n", "9 6\n5 4 3 2 6 7\n3 4 5 9\n1 6\n4 1 5 8 9\n3 3 5 6\n0\n0\n2 3 8\n1 3\n0\n", "10 1\n1\n1 5\n1 3\n0\n1 10\n0\n1 8\n1 1\n2 7 4\n2 6 2\n0\n", "7 6\n2 5 3 1 7 6\n1 7\n2 3 7\n0\n0\n0\n1 3\n1 2\n", "11 6\n7 1 6 4 3 8\n0\n0\n1 2\n1 1\n0\n0\n1 8\n0\n0\n1 1\n0\n", "12 2\n6 8\n6 2 4 5 7 9 11\n4 8 9 11 12\n0\n2 8 9\n2 8 12\n4 2 3 5 9\n2 9 12\n0\n0\n4 3 4 7 9\n2 7 8\n0\n", "7 2\n2 3\n0\n0\n0\n0\n0\n1 4\n0\n", "7 7\n1 7 6 2 5 4 3\n0\n2 5 6\n1 5\n1 2\n0\n1 1\n1 1\n", "6 6\n3 2 4 1 5 6\n1 6\n1 1\n0\n1 5\n0\n0\n", "11 10\n9 6 10 3 2 8 4 7 11 5\n1 2\n0\n5 1 8 9 10 11\n4 1 7 8 11\n3 2 7 11\n3 1 7 10\n0\n2 6 11\n6 1 2 6 7 10 11\n2 1 11\n2 1 7\n", "3 2\n1 3\n0\n0\n1 1\n", "6 5\n3 6 2 4 1\n1 4\n1 3\n0\n0\n0\n2 1 5\n", "2 2\n1 2\n0\n0\n", "7 1\n5\n2 2 5\n0\n2 5 7\n0\n1 6\n0\n0\n", "11 11\n5 4 2 1 6 10 3 7 11 8 9\n0\n1 3\n0\n0\n0\n2 9 11\n1 9\n0\n0\n0\n0\n", "6 6\n5 4 3 2 6 1\n1 4\n0\n2 2 6\n2 3 6\n3 3 4 6\n0\n", "3 3\n2 1 3\n0\n1 1\n0\n", "7 6\n5 7 2 4 3 6\n2 5 7\n0\n3 2 5 7\n2 2 6\n0\n0\n2 2 5\n", "4 2\n3 1\n0\n0\n0\n0\n", "9 6\n1 6 7 4 5 3\n2 2 6\n3 5 6 8\n5 2 4 5 6 9\n3 5 6 8\n0\n0\n5 2 3 5 6 9\n4 1 3 5 6\n5 1 2 4 6 8\n", "7 2\n1 5\n5 2 3 4 5 6\n2 1 7\n0\n3 1 2 7\n0\n2 5 7\n0\n", "1 1\n1\n0\n", "5 2\n4 1\n0\n1 4\n1 5\n0\n2 1 2\n", "3 1\n1\n2 2 3\n0\n0\n", "5 1\n5\n0\n1 1\n2 2 5\n0\n0\n", "5 4\n5 1 4 2\n0\n0\n1 5\n1 1\n0\n", "9 4\n6 9 7 8\n3 5 8 9\n1 3\n1 4\n0\n2 4 9\n2 4 9\n5 2 3 4 8 9\n0\n1 7\n", "5 5\n1 2 4 3 5\n0\n0\n2 1 2\n1 5\n0\n", "8 3\n4 8 7\n0\n1 3\n0\n1 2\n0\n0\n1 1\n0\n", "2 1\n2\n1 2\n0\n", "6 2\n3 6\n2 2 3\n0\n1 1\n1 6\n0\n0\n", "10 3\n7 5 3\n3 3 4 5\n1 10\n1 7\n3 2 6 7\n1 7\n0\n0\n3 1 4 6\n3 2 3 5\n1 6\n", "10 7\n7 10 5 1 9 4 3\n4 2 4 9 10\n5 1 4 6 8 9\n7 2 4 5 6 7 8 10\n3 3 5 10\n2 7 10\n3 4 5 9\n6 1 2 3 4 6 8\n4 1 3 4 10\n1 5\n1 1\n", "7 4\n6 4 7 3\n0\n0\n2 2 5\n1 6\n2 1 7\n2 1 2\n0\n", "6 6\n1 2 3 4 5 6\n2 2 6\n1 3\n2 4 5\n0\n1 4\n1 2\n", "7 6\n5 4 2 1 6 7\n2 2 7\n1 5\n0\n0\n1 3\n1 2\n0\n", "2 1\n1\n0\n1 1\n", "6 1\n1\n0\n0\n1 5\n0\n0\n1 5\n", "2 1\n2\n0\n1 1\n", "12 2\n11 4\n0\n0\n0\n1 5\n0\n0\n0\n0\n1 2\n0\n0\n0\n", "6 1\n2\n0\n0\n1 3\n0\n1 2\n0\n", "3 3\n1 1 2\n0\n0\n0\n", "10 3\n1 6 3\n1 4\n1 4\n0\n0\n2 3 10\n1 2\n0\n1 3\n0\n1 2\n", "8 5\n2 1 5 7 2\n1 8\n3 3 4 6\n0\n0\n1 6\n0\n0\n0\n", "6 6\n4 1 6 3 2 5\n2 3 5\n4 1 3 4 5\n1 5\n2 1 5\n0\n2 1 5\n", "5 3\n2 1 4\n0\n0\n1 9\n0\n0\n", "4 4\n3 1 4 2\n1 2\n1 3\n1 4\n0\n", "12 5\n8 7 9 5 10 6 4 12 3 11\n1 5\n1 10\n1 1\n1 5\n1 7\n1 11\n1 10\n2 1 3\n0\n1 1\n1 8\n0\n", "10 1\n1\n0\n0\n0\n0\n1 10\n0\n0\n0\n0\n0\n", "6 6\n5 1 3 3 6 4\n0\n0\n0\n0\n1 4\n1 1\n", "10 5\n4 8 3 1 6\n0\n1 18\n0\n0\n1 3\n2 3 5\n1 3\n1 10\n2 1 6\n0\n", "5 2\n4 5\n0 3 4\n1 4\n1 4\n0\n0\n", "11 5\n10 11 8 2 7\n1 9\n1 3\n0\n1 6\n1 1\n0\n0\n1 3\n2 4 8\n0\n0\n", "5 2\n2 4\n1 2\n0\n1 2\n0 2\n0\n", "7 4\n7 5 4 2\n0\n2 6 7\n0\n1 3\n2 2 6\n0\n2 6 4\n", "12 1\n4\n2 4 11\n1 8\n2 2 5\n0\n0\n1 3\n0\n0\n1 4\n1 9\n2 2 6\n0\n", "5 3\n3 5 1\n1 2\n0\n0\n1 5\n0\n", "5 5\n2 1 5 4 3\n1 4\n0\n0\n0\n1 4\n", "11 3\n9 11 5\n0\n0\n0\n0\n1 2\n0\n2 1 11\n0\n1 2\n0\n0\n", "8 3\n3 1 8\n0\n3 4 6 7\n2 6 7\n2 3 6\n2 4 6\n1 1\n0 1\n1 3\n", "8 8\n3 1 2 7 8 4 5 6\n2 4 8\n2 3 1\n1 6\n0\n2 4 6\n0\n5 2 3 4 5 8\n2 3 4\n", "8 2\n2 6\n0\n0\n0\n2 5 7\n0\n2 1 2\n0\n3 2 2 3\n", "10 3\n8 4 1\n1 3\n0\n0\n0\n1 1\n2 10 9\n1 4\n3 2 1 2\n2 2 7\n2 8 4\n", "7 6\n3 7 4 1 6 2\n2 4 6\n0\n0\n3 2 3 5\n1 3\n1 2\n3 1 5 3\n", "7 1\n4\n0\n6 1 3 4 4 6 7\n4 1 4 6 7\n2 1 7\n4 1 3 6 7\n2 3 4\n0\n", "5 4\n3 4 1 4\n1 2\n0\n0\n0\n0\n", "3 3\n1 2 3\n0\n0 1\n2 1 2\n", "12 3\n4 7 8\n2 11 12\n0\n0\n2 3 9\n3 7 11 12\n5 1 3 9 8 10\n1 3\n0\n2 2 8\n1 11\n0\n2 8 11\n", "8 8\n5 8 7 2 2 3 4 6\n1 3\n3 1 3 4\n0\n0\n1 1\n1 5\n0\n2 4 6\n", "9 2\n7 7\n1 2\n0\n1 7\n0\n1 1\n0\n0\n2 2 6\n1 5\n", "6 6\n4 4 1 6 3 2\n0\n1 6\n1 1\n2 1 3\n1 1\n2 1 3\n", "11 5\n3 2 5 7 6\n4 3 5 7 9\n2 7 9\n3 7 9 11\n5 5 6 7 9 10\n3 11 9 11\n6 2 3 5 7 10 11\n0\n2 7 10\n0\n2 2 11\n2 7 9\n", "7 6\n6 3 5 1 6 7\n0\n0\n0\n0\n1 1\n1 2\n1 1\n", "4 1\n1\n1 4\n2 1 3\n1 4\n1 1\n", "9 3\n5 7 3\n3 3 4 5\n4 4 6 7 9\n2 1 2\n1 3 5\n1 3\n4 4 5 7 8\n3 1 4 5\n3 1 3 4\n7 1 2 4 5 6 7 8\n", "12 3\n8 10 11\n4 2 5 6 7\n5 4 7 8 10 11\n6 2 4 5 6 8 10\n2 6 8\n0\n3 5 7 8\n0\n2 3 7\n8 2 7 5 6 8 10 11 12\n2 4 7\n6 2 3 5 6 7 12\n5 1 3 6 7 8\n", "9 5\n3 8 2 5 1\n1 5\n3 1 6 7\n3 4 6 8\n3 2 6 9\n2 7 9\n2 5 7\n1 2\n2 4 5\n2 1 2\n", "12 10\n4 10 9 6 7 2 1 11 2 8\n1 4\n0\n7 2 4 5 6 7 8 11\n3 1 10 11\n3 4 8 12\n6 4 7 8 10 11 12\n2 2 11\n1 11\n6 3 4 8 10 11 12\n1 12\n1 1\n0\n", "12 2\n10 5\n0\n0\n3 1 5 11\n1 3\n0\n1 1\n2 5 9\n2 5 7\n1 10\n2 6 9\n0\n1 1\n", "7 6\n4 3 2 1 6 5\n0\n2 4 5\n1 6\n1 7\n1 3\n0\n1 4\n", "6 6\n4 2 6 6 1 3\n1 3\n0\n2 5 6\n2 2 6\n1 2\n1 4\n", "11 11\n3 2 1 7 8 4 10 11 9 6 5\n3 2 7 11\n0\n0\n1 11\n1 1\n1 8\n2 2 5\n0\n1 4\n0\n0\n", "11 6\n6 3 11 1 9 4\n6 2 5 6 7 8 9\n4 5 6 8 10\n4 1 2 6 8\n7 1 3 5 6 7 9 11\n4 3 6 7 8\n1 8\n2 3 9\n0\n0\n5 1 5 7 8 9\n5 1 2 3 7 8\n", "4 1\n4\n0 2 4\n0\n1 2\n0\n", "12 10\n9 11 3 6 4 12 2 7 10 8\n1 7\n3 7 8 9\n3 1 8 11\n4 1 7 9 10\n1 4\n1 12\n1 2\n1 2\n0\n2 1 9\n1 10\n1 7\n", "11 7\n11 2 1 7 9 8 6\n0\n7 3 4 5 6 8 10 11\n3 1 5 8\n1 11\n3 1 7 8\n7 1 3 4 5 7 8 10\n3 4 6 8\n1 10\n2 8 10\n4 1 4 5 7\n5 1 4 6 8 10\n", "10 8\n1 5 4 10 6 2 3 9\n7 3 4 5 6 7 8 10\n1 5\n4 2 5 7 10\n3 2 5 6\n0\n3 2 5 7\n1 2\n8 1 2 3 5 6 7 9 1\n4 2 4 6 7\n3 4 6 7\n", "10 1\n1\n2 4 10\n1 8\n2 4 8\n0\n1 3\n1 2\n2 3 5\n1 7\n0\n1 1\n", "11 10\n5 8 7 6 1 4 9 3 2 11\n3 3 8 10\n2 4 9\n1 5\n2 1 11\n1 4\n3 4 8 9\n2 3 11\n1 5\n3 1 5 8\n2 3 5\n0\n", "9 8\n4 2 7 1 8 3 7 6\n0\n2 1 8\n0\n0\n1 1\n2 1 8\n2 6 8\n3 4 5 9\n5 1 2 5 7 8\n", "12 9\n9 2 5 7 6 1 10 12 11\n0\n3 6 7 12\n1 3\n1 7\n1 3\n1 1\n0\n0\n2 1 4\n1 3\n0\n2 2 10\n", "3 1\n1\n0\n1 2\n0\n", "7 2\n1 2\n0\n0\n3 0 4 6\n1 3\n1 6\n1 5\n0\n" ], "output": [ "-1\n", "6\n1 2 9 4 5 3 \n", "5\n2 1 4 5 3\n", "3\n2 6 9 \n", "1\n2 \n", "5\n6 4 5 7 1\n", "3\n3 1 2\n", "9\n12 5 1 3 10 4 11 9 7\n", "7\n8 7 3 1 6 4 2\n", "2\n3 1 \n", "4\n1 3 4 2\n", "2\n9 4\n", "10\n2 10 3 8 6 4 12 7 1 5\n", "-1\n", "-1\n", "5\n4 1 2 6 3\n", "8\n3 4 6 2 8 1 5 7\n", "6\n5 3 4 1 6 2\n", "3\n2 1 4\n", "2\n2 3 \n", "2\n9 8 \n", "6\n1 3 6 5 4 2\n", "-1\n", "3\n5 6 1\n", "-1\n", "-1\n", "1\n2 \n", "-1\n", "1\n4 \n", "2\n2 1 \n", "-1\n", "6\n3 4 2 6 5 1 \n", "7\n6 7 1 4 5 9 2\n", "4\n4 2 1 3\n", "3\n3 2 1\n", "3\n1 2 3 \n", "-1\n", "1\n3 \n", "3\n4 2 3\n", "5\n6 4 1 5 3\n", "-1\n", "6\n4 5 1 2 3 6\n", "8\n5 6 3 1 2 7 4 8\n", "5\n3 2 4 5 1 \n", "2\n5 2\n", "-1\n", "1\n3 \n", "10\n7 9 4 8 6 2 1 5 10 3\n", "-1\n", "7\n4 10 8 3 1 5 6\n", "6\n5 2 6 4 7 1 \n", "6\n8 4 3 6 7 5\n", "3\n1 2 3 \n", "2\n4 5 \n", "-1\n", "6\n10 11 3 2 8 7\n", "2\n2 4 \n", "6\n3 4 7 6 2 5\n", "-1\n", "1\n4 \n", "-1\n", "-1\n", "-1\n", "-1\n", "4\n3 1 2 4 \n", "4\n3 4 1 2 \n", "1\n2 \n", "3\n2 5 1\n", "-1\n", "2\n2 1\n", "-1\n", "7\n6 4 1 3 7 5 2\n", "-1\n", "3\n1 3 2 \n", "5\n2 4 1 5 3\n", "5\n2 9 11 8 5\n", "-1\n", "-1\n", "3\n5 2 4\n", "5\n1 6 7 3 8 \n", "3\n4 3 1\n", "1\n4 \n", "8\n6 3 4 8 1 2 5 7\n", "3\n2 1 6 \n", "6\n3 1 5 2 8 4\n", "7\n3 2 5 4 6 1 7\n", "3\n1 7 4 \n", "4\n3 2 1 4\n", "7\n6 9 7 3 4 11 10\n", "2\n2 1 \n", "3\n1 2 3 \n", "6\n3 2 8 9 4 7 \n", "2\n4 3\n", "-1\n", "-1\n", "8\n3 1 5 4 6 8 7 2\n", "2\n7 4\n", "-1\n", "6\n1 3 4 5 6 2\n", "-1\n", "-1\n", "8\n4 2 3 7 8 6 9 5\n", "-1\n", "-1\n", "-1\n", "2\n1 2 \n", "8\n7 9 11 3 2 5 10 6\n", "7\n6 3 7 8 1 4 5\n", "-1\n", "-1\n", "2\n2 1 ", "6\n4 5 2 6 1 3 \n", "6\n7 1 10 3 11 2\n", "4\n1 4 3 2 \n", "1\n1 \n", "1\n2 \n", "4\n3 4 1 2\n", "2\n1 2 \n", "3\n2 3 1 \n", "7\n2 6 3 1 5 4 7\n", "-1\n", "4\n2 4 3 1 \n", "11\n2 3 4 7 11 9 1 8 5 10 6\n", "2\n1 3 \n", "1\n1 \n", "-1\n", "6\n1 12 2 5 11 10 \n", "11\n6 9 2 11 10 1 5 3 7 8 12\n", "-1\n", "1\n1 \n", "3\n1 3 2 \n", "5\n7 6 3 2 1\n", "4\n7 1 6 2\n", "-1\n", "9\n6 3 1 4 2 9 5 7 8\n", "-1\n", "5\n2 1 4 3 5\n", "8\n2 11 4 9 7 10 3 1\n", "-1\n", "2\n5 1 \n", "5\n7 1 2 8 3\n", "-1\n", "2\n5 1 \n", "-1\n", "7\n8 7 1 6 4 2 3\n", "9\n8 9 12 7 11 2 3 5 6 \n", "2\n2 3 \n", "7\n1 7 6 5 2 4 3\n", "6\n3 6 1 2 5 4\n", "11\n2 1 7 11 10 6 9 8 3 4 5\n", "2\n1 3 \n", "6\n3 4 1 5 6 2\n", "2\n1 2 \n", "2\n6 5 \n", "11\n5 4 3 2 1 9 11 6 10 7 8\n", "6\n2 6 3 4 5 1\n", "3\n1 2 3 \n", "6\n5 2 7 6 4 3\n", "2\n3 1\n", "-1\n", "-1\n", "1\n1 \n", "2\n4 1\n", "3\n2 3 1 \n", "1\n5 \n", "4\n5 1 4 2\n", "-1\n", "5\n1 2 5 4 3\n", "6\n3 2 4 8 1 7\n", "1\n2 \n", "-1\n", "3\n7 5 3\n", "-1\n", "7\n1 2 6 4 7 5 3\n", "6\n4 5 3 2 6 1 \n", "7\n3 5 4 2 7 1 6\n", "1\n1 \n", "1\n1 \n", "2\n1 2 \n", "3\n11 5 4\n", "1\n2 ", "2\n1 2 ", "5\n4 1 2 6 3 ", "8\n3 4 6 2 8 1 5 7 ", "6\n5 3 1 4 6 2 ", "3\n2 1 4 ", "4\n4 3 2 1 ", "-1", "1\n1 ", "5\n4 5 1 3 6 ", "7\n4 10 8 3 1 5 6 ", "2\n4 5 ", "6\n10 11 3 8 2 7 ", "2\n2 4 ", "6\n6 3 4 7 2 5 ", "1\n4 ", "4\n3 5 2 1 ", "5\n2 4 1 5 3 ", "4\n2 9 11 5 ", "5\n1 6 7 3 8 ", "8\n6 3 4 8 1 2 5 7 ", "3\n2 1 6 ", "5\n2 3 1 8 4 ", "7\n3 2 5 4 6 1 7 ", "3\n1 7 4 ", "4\n3 4 2 1 ", "3\n1 2 3 ", "6\n3 2 8 9 4 7 ", "8\n3 1 5 4 6 8 7 2 ", "1\n7 ", "5\n1 3 4 6 2 ", "8\n7 9 11 3 2 5 10 6 ", "6\n2 6 3 1 5 7 ", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "1\n4 ", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "1\n1 ", "2\n1 2 " ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Now you can take online courses in the Berland State University! Polycarp needs to pass k main online courses of his specialty to get a diploma. In total n courses are availiable for the passage. The situation is complicated by the dependence of online courses, for each course there is a list of those that must be passed before starting this online course (the list can be empty, it means that there is no limitation). Help Polycarp to pass the least number of courses in total to get the specialty (it means to pass all main and necessary courses). Write a program which prints the order of courses. Polycarp passes courses consistently, he starts the next course when he finishes the previous one. Each course can't be passed more than once. Input The first line contains n and k (1 ≤ k ≤ n ≤ 105) — the number of online-courses and the number of main courses of Polycarp's specialty. The second line contains k distinct integers from 1 to n — numbers of main online-courses of Polycarp's specialty. Then n lines follow, each of them describes the next course: the i-th of them corresponds to the course i. Each line starts from the integer ti (0 ≤ ti ≤ n - 1) — the number of courses on which the i-th depends. Then there follows the sequence of ti distinct integers from 1 to n — numbers of courses in random order, on which the i-th depends. It is guaranteed that no course can depend on itself. It is guaranteed that the sum of all values ti doesn't exceed 105. Output Print -1, if there is no the way to get a specialty. Otherwise, in the first line print the integer m — the minimum number of online-courses which it is necessary to pass to get a specialty. In the second line print m distinct integers — numbers of courses which it is necessary to pass in the chronological order of their passage. If there are several answers it is allowed to print any of them. Examples Input 6 2 5 3 0 0 0 2 2 1 1 4 1 5 Output 5 1 2 3 4 5 Input 9 3 3 9 5 0 0 3 9 4 5 0 0 1 8 1 6 1 2 2 1 2 Output 6 1 2 9 4 5 3 Input 3 3 1 2 3 1 2 1 3 1 1 Output -1 Note In the first test firstly you can take courses number 1 and 2, after that you can take the course number 4, then you can take the course number 5, which is the main. After that you have to take only the course number 3, which is the last not passed main course. ### Input: 3 3 1 2 3 1 2 1 3 1 1 ### Output: -1 ### Input: 9 3 3 9 5 0 0 3 9 4 5 0 0 1 8 1 6 1 2 2 1 2 ### Output: 6 1 2 9 4 5 3 ### Code: f = lambda: map(int, input().split()) g = lambda: [[] for x in range(n)] n, k = f() n += 1 s, p = [], list(f()) c, d = [0] * n, [0] * n u, v = g(), g() for x in range(1, n): t = list(f()) m = t.pop(0) if m: c[x] = m v[x] = t for y in t: u[y].append(x) else: s.append(x) d[x] = 1 while s: x = s.pop() for y in u[x]: c[y] -= 1 d[y] = max(d[y], d[x] + 1) if c[y] == 0: s.append(y) if any(c[x] for x in p): print(-1) exit() q = [0] * n while p: x = p.pop() if q[x] == 0: p += v[x] q[x] = 1 p = sorted((d[x], x) for x in range(n) if q[x]) print(len(p)) for d, x in p: print(x)
862_A. Mahmoud and Ehab and the MEX_34703
Dr. Evil kidnapped Mahmoud and Ehab in the evil land because of their performance in the Evil Olympiad in Informatics (EOI). He decided to give them some problems to let them go. Dr. Evil is interested in sets, He has a set of n integers. Dr. Evil calls a set of integers evil if the MEX of it is exactly x. the MEX of a set of integers is the minimum non-negative integer that doesn't exist in it. For example, the MEX of the set {0, 2, 4} is 1 and the MEX of the set {1, 2, 3} is 0 . Dr. Evil is going to make his set evil. To do this he can perform some operations. During each operation he can add some non-negative integer to his set or erase some element from it. What is the minimal number of operations Dr. Evil has to perform to make his set evil? Input The first line contains two integers n and x (1 ≤ n ≤ 100, 0 ≤ x ≤ 100) — the size of the set Dr. Evil owns, and the desired MEX. The second line contains n distinct non-negative integers not exceeding 100 that represent the set. Output The only line should contain one integer — the minimal number of operations Dr. Evil should perform. Examples Input 5 3 0 4 5 6 7 Output 2 Input 1 0 0 Output 1 Input 5 0 1 2 3 4 5 Output 0 Note For the first test case Dr. Evil should add 1 and 2 to the set performing 2 operations. For the second test case Dr. Evil should erase 0 from the set. After that, the set becomes empty, so the MEX of it is 0. In the third test case the set is already evil.
n,m = map(int, input().split()) s = set([int(i) for i in input().split()]) ans = 0 for i in range (m): if i not in s: ans += 1 print(ans+1 if m in s else ans)
{ "input": [ "5 3\n0 4 5 6 7\n", "5 0\n1 2 3 4 5\n", "1 0\n0\n", "10 5\n57 1 47 9 93 37 76 70 78 15\n", "77 0\n12 8 19 87 9 54 55 86 97 7 27 85 25 48 94 73 26 1 13 57 72 69 76 39 38 91 75 40 42 28 93 21 70 84 65 11 60 90 20 95 66 89 59 47 34 99 6 61 52 100 50 3 77 81 82 53 15 24 0 45 44 14 68 96 58 5 18 35 10 98 29 74 92 49 83 71 17\n", "100 50\n55 36 0 32 81 6 17 43 24 13 30 19 8 59 71 45 15 74 3 41 99 42 86 47 2 94 35 1 66 95 38 49 4 27 96 89 34 44 92 25 51 39 54 28 80 77 20 14 48 40 68 56 31 63 33 78 69 37 18 26 83 70 23 82 91 65 67 52 61 53 7 22 60 21 12 73 72 87 75 100 90 29 64 79 98 85 5 62 93 84 50 46 97 58 57 16 9 10 76 11\n", "2 2\n0 2\n", "100 50\n95 78 46 92 80 18 79 58 30 72 19 89 39 29 44 65 15 100 59 8 96 9 62 67 41 42 82 14 57 32 71 77 40 5 7 51 28 53 85 23 16 35 3 91 6 11 75 61 17 66 13 47 36 56 10 22 83 60 48 24 26 97 4 33 76 86 70 0 34 64 52 43 21 49 55 74 1 73 81 25 54 63 94 84 20 68 87 12 31 88 38 93 37 90 98 69 99 45 27 2\n", "77 0\n27 8 20 92 21 41 53 98 17 65 67 35 81 11 55 49 61 44 2 66 51 89 40 28 52 62 86 91 64 24 18 5 94 82 96 99 71 6 39 83 26 29 16 30 45 97 80 90 69 12 13 33 76 73 46 19 78 56 88 38 42 34 57 77 47 4 59 58 7 100 95 72 9 74 15 43 54\n", "5 2\n1 2 3 4 5\n", "77 0\n38 76 24 74 42 88 29 75 96 46 90 32 59 97 98 60 41 57 80 37 100 49 25 63 95 31 61 68 53 78 27 66 84 48 94 83 30 26 36 99 71 62 45 47 70 28 35 54 34 85 79 43 91 72 86 33 67 92 77 65 69 52 82 55 87 64 56 40 50 44 51 73 89 81 58 93 39\n", "77 0\n55 71 78 86 68 35 53 10 59 32 81 19 74 97 62 61 93 87 96 44 25 18 43 82 84 16 34 48 92 39 64 36 49 91 45 76 95 31 57 29 75 79 13 2 14 24 52 23 33 20 47 99 63 15 5 80 58 67 12 3 85 6 1 27 73 90 4 42 37 70 8 11 89 77 9 22 94\n", "100 100\n65 56 84 46 44 33 99 74 62 72 93 67 43 92 75 88 38 34 66 12 55 76 58 90 78 8 14 45 97 59 48 32 64 18 39 89 31 51 54 81 29 36 70 77 40 22 49 27 3 1 73 13 98 42 87 37 2 57 4 6 50 25 23 79 28 86 68 61 80 17 19 10 15 63 52 11 35 60 21 16 24 85 30 91 7 5 69 20 71 82 53 94 41 95 96 9 26 83 0 47\n", "5 1\n1 2 3 4 5\n", "100 70\n91 82 8 85 26 25 95 97 40 87 81 93 7 73 38 94 64 96 74 18 90 19 65 68 72 61 23 43 36 41 60 88 30 33 71 24 52 39 15 3 16 89 86 79 55 4 9 58 67 44 46 29 6 48 84 69 27 21 78 54 51 57 80 53 76 50 47 77 45 12 34 10 100 0 17 31 56 99 98 11 92 5 2 42 32 59 66 62 37 63 28 75 35 1 22 13 83 49 20 14\n", "77 0\n12 75 31 71 44 8 3 82 21 77 50 29 57 74 40 10 15 42 84 2 100 9 28 72 92 0 49 11 90 55 17 36 19 54 68 52 4 69 97 91 5 39 59 45 89 62 53 83 16 94 76 60 95 47 30 51 7 48 20 70 67 32 58 78 63 34 56 93 99 88 24 1 66 22 25 14 13\n", "10 5\n99 98 93 97 95 100 92 94 91 96\n", "100 33\n28 11 79 92 88 62 77 72 7 41 96 97 67 84 44 8 81 35 38 1 64 68 46 17 98 83 31 12 74 21 2 22 47 6 36 75 65 61 37 26 25 45 59 48 100 51 93 76 78 49 3 57 16 4 87 29 55 82 70 39 53 0 60 15 24 71 58 20 66 89 95 42 13 43 63 90 85 52 50 30 54 40 56 23 27 34 32 18 10 19 69 9 99 73 91 14 5 80 94 86\n", "100 100\n58 88 12 71 22 1 40 19 73 20 67 48 57 17 69 36 100 35 33 37 72 55 52 8 89 85 47 42 78 70 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70 88 19 1 76 81 52 41 82 68 85 47 6 7 35 60 18 64 75 84 27 9 65 91 94 42 53 24 66 26 59 36 51 32 5 58\n", "10 5\n1 2 3 4 59 45 0 58 51 91\n", "100 70\n25 94 66 65 10 99 89 6 70 31 7 40 20 92 64 27 21 72 77 98 17 43 47 44 48 81 38 56 100 39 90 22 88 76 3 83 86 29 33 55 82 79 49 11 2 16 12 78 85 69 32 97 26 15 53 24 23 91 51 67 34 35 52 5 62 50 95 18 71 13 75 8 30 42 93 36 45 60 63 46 57 41 87 0 84 54 74 37 4 58 28 19 96 61 80 9 1 14 73 68\n", "2 1\n1 2\n", "3 2\n3 4 5\n", "89 100\n69 61 56 45 11 41 42 32 28 29 0 76 7 65 13 35 36 82 10 39 26 34 38 40 92 12 17 54 24 46 88 70 66 27 100 52 85 62 22 48 86 68 21 49 53 94 67 20 1 90 77 84 31 87 58 47 95 33 4 72 93 83 8 51 91 80 99 43 71 19 44 59 98 97 64 9 81 16 79 63 25 37 3 75 2 55 50 6 18\n", "99 33\n25 76 41 95 55 20 47 59 58 84 87 92 16 27 35 65 72 63 93 54 36 96 15 86 5 69 24 46 67 73 48 60 40 6 61 74 97 10 100 8 52 26 77 18 7 62 37 2 14 66 11 56 68 91 0 64 75 99 30 21 53 1 89 81 3 98 12 88 39 38 29 83 22 90 9 28 45 43 78 44 32 57 4 50 70 17 13 51 80 85 71 94 82 19 34 42 23 79 49\n", "77 0\n51 5 81 62 30 22 11 0 83 16 79 85 52 70 69 10 8 47 58 3 24 34 44 14 82 66 99 17 28 31 64 67 23 49 94 45 4 12 27 15 21 6 43 72 87 2 63 92 35 39 59 9 90 78 93 20 65 36 60 89 50 41 61 84 77 86 76 100 38 68 53 97 96 95 7 19 88\n", "1 0\n100\n", "89 100\n58 96 17 41 86 34 28 84 18 40 8 77 87 89 68 79 33 35 53 49 0 6 22 12 72 90 48 55 21 50 56 62 75 2 37 95 69 74 14 20 44 46 27 32 31 59 63 60 10 85 71 70 38 52 94 30 61 51 80 26 36 23 39 47 76 45 100 57 15 78 97 66 54 13 99 16 93 73 24 4 83 5 98 81 92 25 29 88 65\n", "1 100\n0\n", "7 10\n0 1 2 3 4 5 10\n", "100 50\n7 95 24 76 81 78 60 69 83 84 100 1 65 31 48 92 73 39 18 89 38 97 10 42 8 55 98 51 21 90 62 77 16 91 0 94 4 37 19 17 67 35 45 41 56 20 15 85 75 28 59 27 12 54 61 68 36 5 79 93 66 11 70 49 50 34 30 25 96 46 64 14 32 22 47 40 58 23 43 9 87 82 26 53 80 52 3 86 13 99 33 71 6 88 57 74 2 44 72 63\n", "1 100\n100\n", "5 6\n0 1 2 3 4\n", "10 9\n57 1 47 9 93 37 76 70 78 15\n", "77 0\n27 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31 61 68 53 78 27 66 84 48 94 83 30 26 36 99 71 62 45 47 70 28 35 54 34 85 79 43 91 72 59 33 67 92 77 65 69 52 82 55 87 64 56 40 50 44 51 73 89 81 58 93 39\n", "77 0\n55 71 78 86 68 35 53 10 59 32 81 19 74 97 62 61 93 87 96 44 35 18 43 82 84 16 34 48 92 39 64 36 49 91 45 76 95 31 57 29 75 79 13 2 14 24 52 23 33 20 47 99 63 15 5 80 58 67 12 3 85 6 1 27 73 90 4 42 37 70 8 11 89 77 9 22 94\n", "100 33\n28 11 79 92 88 62 77 72 7 41 96 97 67 84 44 8 81 35 38 1 64 68 46 17 98 83 31 12 74 21 2 22 47 6 36 75 65 61 37 26 25 45 59 48 100 51 93 76 78 49 3 57 16 4 87 29 55 82 70 39 53 0 60 15 24 71 58 20 66 89 95 42 13 43 63 90 85 52 50 30 54 40 56 23 43 34 32 18 10 19 69 9 99 73 91 14 5 80 94 86\n", "89 19\n14 77 85 81 79 38 91 45 55 51 50 11 62 67 73 76 2 27 16 23 3 29 65 98 78 17 4 58 22 20 34 66 64 31 72 5 32 44 12 75 80 47 18 25 99 0 61 56 71 84 48 88 10 7 86 8 49 24 43 21 37 28 33 54 46 57 40 89 36 97 6 96 39 95 26 74 1 15 9 100 52 30 83 87 68 60 92 90 35\n", "5 5\n1 2 3 6 5\n", "10 7\n1 2 3 4 59 45 0 58 51 91\n", "2 0\n1 2\n", "3 2\n3 3 5\n", "99 33\n25 76 41 95 55 20 47 59 58 84 87 92 16 27 35 65 72 63 93 54 36 96 15 86 5 69 24 46 67 73 48 60 40 6 61 74 97 10 100 8 52 26 77 18 7 62 37 2 14 66 11 56 68 91 0 64 75 99 30 21 53 1 89 81 3 98 12 88 39 38 29 46 22 90 9 28 45 43 78 44 32 57 4 50 70 17 13 51 80 85 71 94 82 19 34 42 23 79 49\n", "77 0\n51 5 81 62 30 22 11 0 83 16 79 85 52 70 69 10 8 47 58 3 24 34 44 14 82 66 99 17 28 31 64 67 23 49 94 45 4 12 27 15 21 6 43 72 87 2 63 92 35 39 59 9 90 78 93 20 65 36 60 89 50 41 14 84 77 86 76 100 38 68 53 97 96 95 7 19 88\n", "1 0\n000\n", "5 3\n0 4 5 12 7\n", "77 0\n27 8 20 92 21 41 53 98 17 65 67 35 80 11 55 49 61 44 2 66 51 89 40 28 52 62 86 91 64 24 18 5 94 82 96 99 71 6 39 83 26 29 16 30 45 97 80 90 69 12 17 33 76 73 46 19 78 56 88 38 42 34 57 77 47 4 59 58 7 100 95 72 9 74 15 43 54\n", "77 0\n38 76 24 74 42 88 29 75 96 46 90 32 59 97 98 60 41 57 80 37 100 49 25 63 95 31 61 68 53 78 27 66 84 48 94 83 30 26 36 99 71 62 45 47 70 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58 22 20 34 66 64 31 72 5 32 44 12 75 80 47 18 25 99 0 61 56 71 84 48 76 10 7 86 8 49 24 43 21 37 28 33 54 46 57 40 89 36 97 6 96 39 95 26 74 1 15 9 100 52 30 83 87 68 60 92 90 35\n", "99 33\n25 76 41 95 55 20 47 59 58 78 87 92 16 27 35 65 72 63 93 54 36 96 15 86 5 69 24 46 67 73 48 60 40 6 61 74 97 10 100 8 52 26 77 18 7 62 37 2 14 66 11 56 68 91 0 64 75 99 30 21 53 1 89 81 3 98 12 88 39 38 29 46 22 90 9 28 45 43 78 44 32 57 4 67 70 17 13 51 80 85 71 94 82 19 34 42 23 79 49\n", "77 0\n51 5 81 62 30 22 11 0 83 16 79 85 52 70 69 10 5 47 20 3 24 34 44 14 82 66 99 17 28 31 64 67 23 49 94 45 4 12 27 15 21 6 43 72 87 2 63 92 35 39 59 9 90 78 93 20 65 36 60 89 50 41 14 84 77 86 76 100 38 68 53 97 96 95 7 19 88\n", "5 16\n0 1 2 5 4\n", "5 2\n0 4 8 12 7\n", "77 0\n27 8 20 92 21 41 53 98 17 65 67 35 80 11 55 76 61 44 2 66 51 89 40 28 52 62 86 91 64 24 18 5 94 82 96 99 71 6 39 83 26 29 16 46 45 97 80 90 69 12 17 33 76 73 46 19 78 56 88 38 42 34 57 77 47 4 59 58 7 100 95 72 9 74 15 43 54\n", "77 0\n38 99 24 74 42 88 29 75 96 46 90 32 59 97 98 60 41 57 80 37 100 49 25 63 95 31 86 68 53 78 27 66 84 48 94 83 30 26 36 99 71 62 45 47 70 28 35 54 34 85 79 43 91 72 59 33 67 92 77 66 69 52 82 55 87 64 56 40 50 44 51 73 89 81 58 93 39\n", "77 0\n51 5 81 62 30 22 11 0 83 16 79 85 52 70 69 10 5 47 20 3 24 34 44 14 82 66 99 17 28 31 64 67 23 49 94 45 4 12 27 15 21 6 43 72 87 2 63 92 35 39 80 9 90 78 93 20 65 36 60 89 50 41 14 84 77 86 76 100 38 68 53 97 96 95 7 19 88\n", "5 2\n0 5 8 12 7\n", "77 0\n27 8 20 92 21 41 53 98 17 65 67 35 80 11 55 76 61 44 2 66 51 89 40 28 52 62 86 91 64 24 18 5 94 82 96 99 71 6 39 83 26 29 16 46 45 97 80 90 69 12 17 39 76 73 46 19 78 56 88 38 42 34 57 77 47 4 59 58 7 100 95 72 9 74 15 43 54\n", "77 0\n38 99 24 74 42 88 29 75 96 46 90 32 59 97 98 60 41 57 80 37 100 49 25 63 95 31 86 68 53 78 27 66 84 48 94 83 30 26 53 99 71 62 45 47 70 28 35 54 34 85 79 43 91 72 59 33 67 92 77 66 69 52 82 55 87 64 56 40 50 44 51 73 89 81 58 93 39\n", "77 0\n51 5 81 62 30 22 11 0 83 16 79 85 52 70 69 10 6 47 20 3 24 34 44 14 82 66 99 17 28 31 64 67 23 49 94 45 4 12 27 15 21 6 43 72 87 2 63 92 35 39 80 9 90 78 93 20 65 36 60 89 50 41 14 84 77 86 76 100 38 68 53 97 96 95 7 19 88\n", "5 2\n0 5 15 12 7\n", "77 0\n38 99 24 74 42 88 29 75 96 46 90 32 59 97 98 97 41 57 80 37 100 49 25 63 95 31 86 68 53 78 27 66 84 48 94 83 30 26 53 99 71 62 45 47 70 28 35 54 34 85 79 43 91 72 59 33 67 92 77 66 69 52 82 55 87 64 56 40 50 44 51 73 89 81 58 93 39\n", "77 0\n51 5 81 62 30 22 11 0 83 16 79 85 52 70 69 10 6 47 20 3 24 34 44 14 82 66 99 17 28 31 64 67 23 49 94 45 4 12 27 15 21 6 43 72 87 2 63 6 35 39 80 9 90 78 93 20 65 36 60 89 50 41 14 84 77 86 76 100 38 68 53 97 96 95 7 19 88\n", "4 2\n0 5 15 12 7\n", "4 2\n0 5 4 12 7\n", "4 2\n0 8 4 12 7\n", "4 1\n0 8 4 12 7\n", "4 1\n0 8 4 12 14\n", "4 1\n0 16 4 12 14\n", "4 1\n0 16 4 12 22\n", "10 5\n57 2 47 9 93 37 76 70 78 15\n", "77 0\n12 8 19 87 9 54 55 86 97 7 27 85 25 48 94 73 26 1 13 57 72 69 76 39 38 91 75 40 42 28 93 21 70 84 65 11 60 90 20 95 66 89 59 21 34 99 6 61 52 100 50 3 77 81 82 53 15 24 0 45 44 14 68 96 58 5 18 35 10 98 29 74 92 49 83 71 17\n", "2 2\n1 2\n", "4 2\n1 2 3 4 5\n", "77 0\n38 76 24 74 42 88 29 75 96 46 90 32 59 97 98 60 41 57 80 37 100 49 25 63 95 31 61 68 53 78 27 66 84 48 94 83 30 26 36 99 71 62 45 47 70 28 35 28 34 85 79 43 91 72 86 33 67 92 77 65 69 52 82 55 87 64 56 40 50 44 51 73 89 81 58 93 39\n", "77 0\n55 71 78 86 68 35 53 10 59 32 81 19 74 97 62 61 93 87 96 44 25 18 43 82 84 16 34 48 92 39 64 36 49 91 45 76 95 31 57 29 75 79 13 2 14 24 52 23 33 25 47 99 63 15 5 80 58 67 12 3 85 6 1 27 73 90 4 42 37 70 8 11 89 77 9 22 94\n", "5 1\n1 0 3 4 5\n", "77 0\n12 75 31 71 44 8 3 82 21 77 50 29 57 74 40 10 15 42 84 2 100 9 28 72 92 0 49 11 90 55 17 36 19 54 68 52 4 69 97 91 5 39 59 45 89 62 53 83 16 94 76 60 95 47 30 51 7 48 20 70 67 32 58 78 63 34 54 93 99 88 24 1 66 22 25 14 13\n", "5 3\n0 3 4 4 6\n", "89 19\n14 77 85 81 79 38 91 45 55 51 50 11 62 67 73 76 2 27 16 23 3 29 65 98 78 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41 95 55 20 47 59 58 84 87 92 16 27 35 65 72 63 93 54 36 96 15 86 5 69 24 46 67 73 48 60 40 6 61 74 97 10 100 8 52 26 77 18 7 62 37 2 14 66 11 56 68 91 0 64 75 99 30 21 53 1 89 90 3 98 12 88 39 38 29 46 22 90 9 28 45 43 78 44 32 57 4 50 70 17 13 51 80 85 71 94 82 19 34 42 23 79 49\n", "1 0\n010\n", "5 11\n0 1 2 3 5\n", "5 3\n0 4 1 12 7\n" ], "output": [ "2\n", "0\n", "1\n", "4\n", "1\n", "1\n", "2\n", "0\n", "0\n", "2\n", "0\n", "0\n", "0\n", "2\n", "0\n", "1\n", "5\n", "0\n", "2\n", "3\n", "100\n", "2\n", "11\n", "2\n", "0\n", "0\n", "2\n", "2\n", "2\n", "13\n", "1\n", "1\n", "0\n", "13\n", "99\n", "5\n", "2\n", "101\n", "1\n", "9\n", "0\n", "2\n", "1\n", "3\n", "11\n", "99\n", "6\n", "4\n", "7\n", "0\n", "0\n", "1\n", "1\n", "3\n", "2\n", "0\n", "2\n", "1\n", "1\n", "1\n", "2\n", "0\n", "0\n", "0\n", "2\n", "1\n", "1\n", "1\n", "11\n", "1\n", "0\n", "0\n", "0\n", "1\n", "1\n", "1\n", "11\n", "1\n", "0\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "1\n", "0\n", "1\n", "1\n", "1\n", "1\n", "0\n", "0\n", "0\n", "0\n", "4\n", "1\n", "2\n", "2\n", "0\n", "0\n", "1\n", "1\n", "3\n", "3\n", "3\n", "0\n", "1\n", "2\n", "1\n", "1\n", "1\n", "2\n", "0\n", "9\n", "0\n", "0\n", "0\n", "3\n", "2\n", "1\n", "2\n", "1\n", "0\n", "6\n", "1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Dr. Evil kidnapped Mahmoud and Ehab in the evil land because of their performance in the Evil Olympiad in Informatics (EOI). He decided to give them some problems to let them go. Dr. Evil is interested in sets, He has a set of n integers. Dr. Evil calls a set of integers evil if the MEX of it is exactly x. the MEX of a set of integers is the minimum non-negative integer that doesn't exist in it. For example, the MEX of the set {0, 2, 4} is 1 and the MEX of the set {1, 2, 3} is 0 . Dr. Evil is going to make his set evil. To do this he can perform some operations. During each operation he can add some non-negative integer to his set or erase some element from it. What is the minimal number of operations Dr. Evil has to perform to make his set evil? Input The first line contains two integers n and x (1 ≤ n ≤ 100, 0 ≤ x ≤ 100) — the size of the set Dr. Evil owns, and the desired MEX. The second line contains n distinct non-negative integers not exceeding 100 that represent the set. Output The only line should contain one integer — the minimal number of operations Dr. Evil should perform. Examples Input 5 3 0 4 5 6 7 Output 2 Input 1 0 0 Output 1 Input 5 0 1 2 3 4 5 Output 0 Note For the first test case Dr. Evil should add 1 and 2 to the set performing 2 operations. For the second test case Dr. Evil should erase 0 from the set. After that, the set becomes empty, so the MEX of it is 0. In the third test case the set is already evil. ### Input: 5 3 0 4 5 6 7 ### Output: 2 ### Input: 5 0 1 2 3 4 5 ### Output: 0 ### Code: n,m = map(int, input().split()) s = set([int(i) for i in input().split()]) ans = 0 for i in range (m): if i not in s: ans += 1 print(ans+1 if m in s else ans)
959_C. Mahmoud and Ehab and the wrong algorithm_34713
Mahmoud was trying to solve the vertex cover problem on trees. The problem statement is: Given an undirected tree consisting of n nodes, find the minimum number of vertices that cover all the edges. Formally, we need to find a set of vertices such that for each edge (u, v) that belongs to the tree, either u is in the set, or v is in the set, or both are in the set. Mahmoud has found the following algorithm: * Root the tree at node 1. * Count the number of nodes at an even depth. Let it be evenCnt. * Count the number of nodes at an odd depth. Let it be oddCnt. * The answer is the minimum between evenCnt and oddCnt. The depth of a node in a tree is the number of edges in the shortest path between this node and the root. The depth of the root is 0. Ehab told Mahmoud that this algorithm is wrong, but he didn't believe because he had tested his algorithm against many trees and it worked, so Ehab asked you to find 2 trees consisting of n nodes. The algorithm should find an incorrect answer for the first tree and a correct answer for the second one. Input The only line contains an integer n (2 ≤ n ≤ 105), the number of nodes in the desired trees. Output The output should consist of 2 independent sections, each containing a tree. The algorithm should find an incorrect answer for the tree in the first section and a correct answer for the tree in the second. If a tree doesn't exist for some section, output "-1" (without quotes) for that section only. If the answer for a section exists, it should contain n - 1 lines, each containing 2 space-separated integers u and v (1 ≤ u, v ≤ n), which means that there's an undirected edge between node u and node v. If the given graph isn't a tree or it doesn't follow the format, you'll receive wrong answer verdict. If there are multiple answers, you can print any of them. Examples Input 2 Output -1 1 2 Input 8 Output 1 2 1 3 2 4 2 5 3 6 4 7 4 8 1 2 1 3 2 4 2 5 2 6 3 7 6 8 Note In the first sample, there is only 1 tree with 2 nodes (node 1 connected to node 2). The algorithm will produce a correct answer in it so we printed - 1 in the first section, but notice that we printed this tree in the second section. In the second sample: In the first tree, the algorithm will find an answer with 4 nodes, while there exists an answer with 3 nodes like this: <image> In the second tree, the algorithm will find an answer with 3 nodes which is correct: <image>
n = int(input()) if n <= 5: print(-1) else: print('1 2', '1 3', '1 4', '2 5', sep = '\n') for i in range(6, n + 1): print('2 {0:d}'.format(i)) for i in range(2, n + 1): print('1 {0:d}'.format(i))
{ "input": [ "8\n", "2\n", "6\n", "343\n", "91\n", "21\n", "43\n", "3\n", "421\n", "4\n", "307\n", "211\n", "183\n", "111\n", "273\n", "100\n", "13\n", "57\n", "133\n", "5\n", "7\n", "99\n", "3212\n", "11\n", "2049\n", "2047\n", "157\n", "10101\n", "31\n", "8\n", "73\n", "381\n", "241\n", "2048\n", "9\n", "42\n", "110\n", "15\n", "12\n", "1\n", "227\n", "337\n", "173\n", "224\n", "010\n", "427\n", "26\n", "88\n", "65\n", "40\n", "806\n", "20\n", "3874\n", "3089\n", "170\n", "10111\n", "18\n", "25\n", "74\n", "489\n", "112\n", "696\n", "34\n", "67\n", "101\n", "17\n", "218\n", "44\n", "49\n", "413\n", "119\n", "011\n", "68\n", "137\n", "14\n", "54\n", "1297\n", "33\n", "1612\n", "3859\n", "304\n", "10110\n", "35\n", "45\n", "129\n", "522\n", "973\n", "16\n", "50\n", "81\n", "28\n", "275\n", "55\n", "78\n", "46\n", "216\n", "84\n", "36\n", "208\n", "41\n", "80\n", "1026\n", "64\n", "2436\n", "6284\n", "604\n", "39\n", "215\n", "892\n", "432\n", "52\n", "47\n", "69\n", "195\n", "86\n", "51\n", "71\n", "196\n", "22\n", "24\n", "98\n", "149\n", "819\n", "23\n", "2212\n", "6000\n", "1158\n", "59\n", "63\n", "762\n", "0\n", "000\n", "10\n", "-1\n" ], "output": [ "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n", "-1\n1 2\n", "1 2\n1 3\n1 4\n2 5\n2 6\n1 2\n1 3\n1 4\n1 5\n1 6\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n", "-1\n1 2\n2 3\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n1 382\n1 383\n1 384\n1 385\n1 386\n1 387\n1 388\n1 389\n1 390\n1 391\n1 392\n1 393\n1 394\n1 395\n1 396\n1 397\n1 398\n1 399\n1 400\n1 401\n1 402\n1 403\n1 404\n1 405\n1 406\n1 407\n1 408\n1 409\n1 410\n1 411\n1 412\n1 413\n1 414\n1 415\n1 416\n1 417\n1 418\n1 419\n1 420\n1 421\n", "-1\n1 2\n2 3\n3 4\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n", "-1\n1 2\n2 3\n3 4\n4 5\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 3125\n2 3126\n2 3127\n2 3128\n2 3129\n2 3130\n2 3131\n2 3132\n2 3133\n2 3134\n2 3135\n2 3136\n2 3137\n2 3138\n2 3139\n2 3140\n2 3141\n2 3142\n2 3143\n2 3144\n2 3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n1 382\n1 383\n1 384\n1 385\n1 386\n1 387\n1 388\n1 389\n1 390\n1 391\n1 392\n1 393\n1 394\n1 395\n1 396\n1 397\n1 398\n1 399\n1 400\n1 401\n1 402\n1 403\n1 404\n1 405\n1 406\n1 407\n1 408\n1 409\n1 410\n1 411\n1 412\n1 413\n1 414\n1 415\n1 416\n1 417\n1 418\n1 419\n1 420\n1 421\n1 422\n1 423\n1 424\n1 425\n1 426\n1 427\n1 428\n1 429\n1 430\n1 431\n1 432\n1 433\n1 434\n1 435\n1 436\n1 437\n1 438\n1 439\n1 440\n1 441\n1 442\n1 443\n1 444\n1 445\n1 446\n1 447\n1 448\n1 449\n1 450\n1 451\n1 452\n1 453\n1 454\n1 455\n1 456\n1 457\n1 458\n1 459\n1 460\n1 461\n1 462\n1 463\n1 464\n1 465\n1 466\n1 467\n1 468\n1 469\n1 470\n1 471\n1 472\n1 473\n1 474\n1 475\n1 476\n1 477\n1 478\n1 479\n1 480\n1 481\n1 482\n1 483\n1 484\n1 485\n1 486\n1 487\n1 488\n1 489\n1 490\n1 491\n1 492\n1 493\n1 494\n1 495\n1 496\n1 497\n1 498\n1 499\n1 500\n1 501\n1 502\n1 503\n1 504\n1 505\n1 506\n1 507\n1 508\n1 509\n1 510\n1 511\n1 512\n1 513\n1 514\n1 515\n1 516\n1 517\n1 518\n1 519\n1 520\n1 521\n1 522\n1 523\n1 524\n1 525\n1 526\n1 527\n1 528\n1 529\n1 530\n1 531\n1 532\n1 533\n1 534\n1 535\n1 536\n1 537\n1 538\n1 539\n1 540\n1 541\n1 542\n1 543\n1 544\n1 545\n1 546\n1 547\n1 548\n1 549\n1 550\n1 551\n1 552\n1 553\n1 554\n1 555\n1 556\n1 557\n1 558\n1 559\n1 560\n1 561\n1 562\n1 563\n1 564\n1 565\n1 566\n1 567\n1 568\n1 569\n1 570\n1 571\n1 572\n1 573\n1 574\n1 575\n1 576\n1 577\n1 578\n1 579\n1 580\n1 581\n1 582\n1 583\n1 584\n1 585\n1 586\n1 587\n1 588\n1 589\n1 590\n1 591\n1 592\n1 593\n1 594\n1 595\n1 596\n1 597\n1 598\n1 599\n1 600\n1 601\n1 602\n1 603\n1 604\n1 605\n1 606\n1 607\n1 608\n1 609\n1 610\n1 611\n1 612\n1 613\n1 614\n1 615\n1 616\n1 617\n1 618\n1 619\n1 620\n1 621\n1 622\n1 623\n1 624\n1 625\n1 626\n1 627\n1 628\n1 629\n1 630\n1 631\n1 632\n1 633\n1 634\n1 635\n1 636\n1 637\n1 638\n1 639\n1 640\n1 641\n1 642\n1 643\n1 644\n1 645\n1 646\n1 647\n1 648\n1 649\n1 650\n1 651\n1 652\n1 653\n1 654\n1 655\n1 656\n1 657\n1 658\n1 659\n1 660\n1 661\n1 662\n1 663\n1 664\n1 665\n1 666\n1 667\n1 668\n1 669\n1 670\n1 671\n1 672\n1 673\n1 674\n1 675\n1 676\n1 677\n1 678\n1 679\n1 680\n1 681\n1 682\n1 683\n1 684\n1 685\n1 686\n1 687\n1 688\n1 689\n1 690\n1 691\n1 692\n1 693\n1 694\n1 695\n1 696\n1 697\n1 698\n1 699\n1 700\n1 701\n1 702\n1 703\n1 704\n1 705\n1 706\n1 707\n1 708\n1 709\n1 710\n1 711\n1 712\n1 713\n1 714\n1 715\n1 716\n1 717\n1 718\n1 719\n1 720\n1 721\n1 722\n1 723\n1 724\n1 725\n1 726\n1 727\n1 728\n1 729\n1 730\n1 731\n1 732\n1 733\n1 734\n1 735\n1 736\n1 737\n1 738\n1 739\n1 740\n1 741\n1 742\n1 743\n1 744\n1 745\n1 746\n1 747\n1 748\n1 749\n1 750\n1 751\n1 752\n1 753\n1 754\n1 755\n1 756\n1 757\n1 758\n1 759\n1 760\n1 761\n1 762\n1 763\n1 764\n1 765\n1 766\n1 767\n1 768\n1 769\n1 770\n1 771\n1 772\n1 773\n1 774\n1 775\n1 776\n1 777\n1 778\n1 779\n1 780\n1 781\n1 782\n1 783\n1 784\n1 785\n1 786\n1 787\n1 788\n1 789\n1 790\n1 791\n1 792\n1 793\n1 794\n1 795\n1 796\n1 797\n1 798\n1 799\n1 800\n1 801\n1 802\n1 803\n1 804\n1 805\n1 806\n1 807\n1 808\n1 809\n1 810\n1 811\n1 812\n1 813\n1 814\n1 815\n1 816\n1 817\n1 818\n1 819\n1 820\n1 821\n1 822\n1 823\n1 824\n1 825\n1 826\n1 827\n1 828\n1 829\n1 830\n1 831\n1 832\n1 833\n1 834\n1 835\n1 836\n1 837\n1 838\n1 839\n1 840\n1 841\n1 842\n1 843\n1 844\n1 845\n1 846\n1 847\n1 848\n1 849\n1 850\n1 851\n1 852\n1 853\n1 854\n1 855\n1 856\n1 857\n1 858\n1 859\n1 860\n1 861\n1 862\n1 863\n1 864\n1 865\n1 866\n1 867\n1 868\n1 869\n1 870\n1 871\n1 872\n1 873\n1 874\n1 875\n1 876\n1 877\n1 878\n1 879\n1 880\n1 881\n1 882\n1 883\n1 884\n1 885\n1 886\n1 887\n1 888\n1 889\n1 890\n1 891\n1 892\n1 893\n1 894\n1 895\n1 896\n1 897\n1 898\n1 899\n1 900\n1 901\n1 902\n1 903\n1 904\n1 905\n1 906\n1 907\n1 908\n1 909\n1 910\n1 911\n1 912\n1 913\n1 914\n1 915\n1 916\n1 917\n1 918\n1 919\n1 920\n1 921\n1 922\n1 923\n1 924\n1 925\n1 926\n1 927\n1 928\n1 929\n1 930\n1 931\n1 932\n1 933\n1 934\n1 935\n1 936\n1 937\n1 938\n1 939\n1 940\n1 941\n1 942\n1 943\n1 944\n1 945\n1 946\n1 947\n1 948\n1 949\n1 950\n1 951\n1 952\n1 953\n1 954\n1 955\n1 956\n1 957\n1 958\n1 959\n1 960\n1 961\n1 962\n1 963\n1 964\n1 965\n1 966\n1 967\n1 968\n1 969\n1 970\n1 971\n1 972\n1 973\n1 974\n1 975\n1 976\n1 977\n1 978\n1 979\n1 980\n1 981\n1 982\n1 983\n1 984\n1 985\n1 986\n1 987\n1 988\n1 989\n1 990\n1 991\n1 992\n1 993\n1 994\n1 995\n1 996\n1 997\n1 998\n1 999\n1 1000\n1 1001\n1 1002\n1 1003\n1 1004\n1 1005\n1 1006\n1 1007\n1 1008\n1 1009\n1 1010\n1 1011\n1 1012\n1 1013\n1 1014\n1 1015\n1 1016\n1 1017\n1 1018\n1 1019\n1 1020\n1 1021\n1 1022\n1 1023\n1 1024\n1 1025\n1 1026\n1 1027\n1 1028\n1 1029\n1 1030\n1 1031\n1 1032\n1 1033\n1 1034\n1 1035\n1 1036\n1 1037\n1 1038\n1 1039\n1 1040\n1 1041\n1 1042\n1 1043\n1 1044\n1 1045\n1 1046\n1 1047\n1 1048\n1 1049\n1 1050\n1 1051\n1 1052\n1 1053\n1 1054\n1 1055\n1 1056\n1 1057\n1 1058\n1 1059\n1 1060\n1 1061\n1 1062\n1 1063\n1 1064\n1 1065\n1 1066\n1 1067\n1 1068\n1 1069\n1 1070\n1 1071\n1 1072\n1 1073\n1 1074\n1 1075\n1 1076\n1 1077\n1 1078\n1 1079\n1 1080\n1 1081\n1 1082\n1 1083\n1 1084\n1 1085\n1 1086\n1 1087\n1 1088\n1 1089\n1 1090\n1 1091\n1 1092\n1 1093\n1 1094\n1 1095\n1 1096\n1 1097\n1 1098\n1 1099\n1 1100\n1 1101\n1 1102\n1 1103\n1 1104\n1 1105\n1 1106\n1 1107\n1 1108\n1 1109\n1 1110\n1 1111\n1 1112\n1 1113\n1 1114\n1 1115\n1 1116\n1 1117\n1 1118\n1 1119\n1 1120\n1 1121\n1 1122\n1 1123\n1 1124\n1 1125\n1 1126\n1 1127\n1 1128\n1 1129\n1 1130\n1 1131\n1 1132\n1 1133\n1 1134\n1 1135\n1 1136\n1 1137\n1 1138\n1 1139\n1 1140\n1 1141\n1 1142\n1 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2018\n1 2019\n1 2020\n1 2021\n1 2022\n1 2023\n1 2024\n1 2025\n1 2026\n1 2027\n1 2028\n1 2029\n1 2030\n1 2031\n1 2032\n1 2033\n1 2034\n1 2035\n1 2036\n1 2037\n1 2038\n1 2039\n1 2040\n1 2041\n1 2042\n1 2043\n1 2044\n1 2045\n1 2046\n1 2047\n1 2048\n1 2049\n1 2050\n1 2051\n1 2052\n1 2053\n1 2054\n1 2055\n1 2056\n1 2057\n1 2058\n1 2059\n1 2060\n1 2061\n1 2062\n1 2063\n1 2064\n1 2065\n1 2066\n1 2067\n1 2068\n1 2069\n1 2070\n1 2071\n1 2072\n1 2073\n1 2074\n1 2075\n1 2076\n1 2077\n1 2078\n1 2079\n1 2080\n1 2081\n1 2082\n1 2083\n1 2084\n1 2085\n1 2086\n1 2087\n1 2088\n1 2089\n1 2090\n1 2091\n1 2092\n1 2093\n1 2094\n1 2095\n1 2096\n1 2097\n1 2098\n1 2099\n1 2100\n1 2101\n1 2102\n1 2103\n1 2104\n1 2105\n1 2106\n1 2107\n1 2108\n1 2109\n1 2110\n1 2111\n1 2112\n1 2113\n1 2114\n1 2115\n1 2116\n1 2117\n1 2118\n1 2119\n1 2120\n1 2121\n1 2122\n1 2123\n1 2124\n1 2125\n1 2126\n1 2127\n1 2128\n1 2129\n1 2130\n1 2131\n1 2132\n1 2133\n1 2134\n1 2135\n1 2136\n1 2137\n1 2138\n1 2139\n1 2140\n1 2141\n1 2142\n1 2143\n1 2144\n1 2145\n1 2146\n1 2147\n1 2148\n1 2149\n1 2150\n1 2151\n1 2152\n1 2153\n1 2154\n1 2155\n1 2156\n1 2157\n1 2158\n1 2159\n1 2160\n1 2161\n1 2162\n1 2163\n1 2164\n1 2165\n1 2166\n1 2167\n1 2168\n1 2169\n1 2170\n1 2171\n1 2172\n1 2173\n1 2174\n1 2175\n1 2176\n1 2177\n1 2178\n1 2179\n1 2180\n1 2181\n1 2182\n1 2183\n1 2184\n1 2185\n1 2186\n1 2187\n1 2188\n1 2189\n1 2190\n1 2191\n1 2192\n1 2193\n1 2194\n1 2195\n1 2196\n1 2197\n1 2198\n1 2199\n1 2200\n1 2201\n1 2202\n1 2203\n1 2204\n1 2205\n1 2206\n1 2207\n1 2208\n1 2209\n1 2210\n1 2211\n1 2212\n1 2213\n1 2214\n1 2215\n1 2216\n1 2217\n1 2218\n1 2219\n1 2220\n1 2221\n1 2222\n1 2223\n1 2224\n1 2225\n1 2226\n1 2227\n1 2228\n1 2229\n1 2230\n1 2231\n1 2232\n1 2233\n1 2234\n1 2235\n1 2236\n1 2237\n1 2238\n1 2239\n1 2240\n1 2241\n1 2242\n1 2243\n1 2244\n1 2245\n1 2246\n1 2247\n1 2248\n1 2249\n1 2250\n1 2251\n1 2252\n1 2253\n1 2254\n1 2255\n1 2256\n1 2257\n1 2258\n1 2259\n1 2260\n1 2261\n1 2262\n1 2263\n1 2264\n1 2265\n1 2266\n1 2267\n1 2268\n1 2269\n1 2270\n1 2271\n1 2272\n1 2273\n1 2274\n1 2275\n1 2276\n1 2277\n1 2278\n1 2279\n1 2280\n1 2281\n1 2282\n1 2283\n1 2284\n1 2285\n1 2286\n1 2287\n1 2288\n1 2289\n1 2290\n1 2291\n1 2292\n1 2293\n1 2294\n1 2295\n1 2296\n1 2297\n1 2298\n1 2299\n1 2300\n1 2301\n1 2302\n1 2303\n1 2304\n1 2305\n1 2306\n1 2307\n1 2308\n1 2309\n1 2310\n1 2311\n1 2312\n1 2313\n1 2314\n1 2315\n1 2316\n1 2317\n1 2318\n1 2319\n1 2320\n1 2321\n1 2322\n1 2323\n1 2324\n1 2325\n1 2326\n1 2327\n1 2328\n1 2329\n1 2330\n1 2331\n1 2332\n1 2333\n1 2334\n1 2335\n1 2336\n1 2337\n1 2338\n1 2339\n1 2340\n1 2341\n1 2342\n1 2343\n1 2344\n1 2345\n1 2346\n1 2347\n1 2348\n1 2349\n1 2350\n1 2351\n1 2352\n1 2353\n1 2354\n1 2355\n1 2356\n1 2357\n1 2358\n1 2359\n1 2360\n1 2361\n1 2362\n1 2363\n1 2364\n1 2365\n1 2366\n1 2367\n1 2368\n1 2369\n1 2370\n1 2371\n1 2372\n1 2373\n1 2374\n1 2375\n1 2376\n1 2377\n1 2378\n1 2379\n1 2380\n1 2381\n1 2382\n1 2383\n1 2384\n1 2385\n1 2386\n1 2387\n1 2388\n1 2389\n1 2390\n1 2391\n1 2392\n1 2393\n1 2394\n1 2395\n1 2396\n1 2397\n1 2398\n1 2399\n1 2400\n1 2401\n1 2402\n1 2403\n1 2404\n1 2405\n1 2406\n1 2407\n1 2408\n1 2409\n1 2410\n1 2411\n1 2412\n1 2413\n1 2414\n1 2415\n1 2416\n1 2417\n1 2418\n1 2419\n1 2420\n1 2421\n1 2422\n1 2423\n1 2424\n1 2425\n1 2426\n1 2427\n1 2428\n1 2429\n1 2430\n1 2431\n1 2432\n1 2433\n1 2434\n1 2435\n1 2436\n1 2437\n1 2438\n1 2439\n1 2440\n1 2441\n1 2442\n1 2443\n1 2444\n1 2445\n1 2446\n1 2447\n1 2448\n1 2449\n1 2450\n1 2451\n1 2452\n1 2453\n1 2454\n1 2455\n1 2456\n1 2457\n1 2458\n1 2459\n1 2460\n1 2461\n1 2462\n1 2463\n1 2464\n1 2465\n1 2466\n1 2467\n1 2468\n1 2469\n1 2470\n1 2471\n1 2472\n1 2473\n1 2474\n1 2475\n1 2476\n1 2477\n1 2478\n1 2479\n1 2480\n1 2481\n1 2482\n1 2483\n1 2484\n1 2485\n1 2486\n1 2487\n1 2488\n1 2489\n1 2490\n1 2491\n1 2492\n1 2493\n1 2494\n1 2495\n1 2496\n1 2497\n1 2498\n1 2499\n1 2500\n1 2501\n1 2502\n1 2503\n1 2504\n1 2505\n1 2506\n1 2507\n1 2508\n1 2509\n1 2510\n1 2511\n1 2512\n1 2513\n1 2514\n1 2515\n1 2516\n1 2517\n1 2518\n1 2519\n1 2520\n1 2521\n1 2522\n1 2523\n1 2524\n1 2525\n1 2526\n1 2527\n1 2528\n1 2529\n1 2530\n1 2531\n1 2532\n1 2533\n1 2534\n1 2535\n1 2536\n1 2537\n1 2538\n1 2539\n1 2540\n1 2541\n1 2542\n1 2543\n1 2544\n1 2545\n1 2546\n1 2547\n1 2548\n1 2549\n1 2550\n1 2551\n1 2552\n1 2553\n1 2554\n1 2555\n1 2556\n1 2557\n1 2558\n1 2559\n1 2560\n1 2561\n1 2562\n1 2563\n1 2564\n1 2565\n1 2566\n1 2567\n1 2568\n1 2569\n1 2570\n1 2571\n1 2572\n1 2573\n1 2574\n1 2575\n1 2576\n1 2577\n1 2578\n1 2579\n1 2580\n1 2581\n1 2582\n1 2583\n1 2584\n1 2585\n1 2586\n1 2587\n1 2588\n1 2589\n1 2590\n1 2591\n1 2592\n1 2593\n1 2594\n1 2595\n1 2596\n1 2597\n1 2598\n1 2599\n1 2600\n1 2601\n1 2602\n1 2603\n1 2604\n1 2605\n1 2606\n1 2607\n1 2608\n1 2609\n1 2610\n1 2611\n1 2612\n1 2613\n1 2614\n1 2615\n1 2616\n1 2617\n1 2618\n1 2619\n1 2620\n1 2621\n1 2622\n1 2623\n1 2624\n1 2625\n1 2626\n1 2627\n1 2628\n1 2629\n1 2630\n1 2631\n1 2632\n1 2633\n1 2634\n1 2635\n1 2636\n1 2637\n1 2638\n1 2639\n1 2640\n1 2641\n1 2642\n1 2643\n1 2644\n1 2645\n1 2646\n1 2647\n1 2648\n1 2649\n1 2650\n1 2651\n1 2652\n1 2653\n1 2654\n1 2655\n1 2656\n1 2657\n1 2658\n1 2659\n1 2660\n1 2661\n1 2662\n1 2663\n1 2664\n1 2665\n1 2666\n1 2667\n1 2668\n1 2669\n1 2670\n1 2671\n1 2672\n1 2673\n1 2674\n1 2675\n1 2676\n1 2677\n1 2678\n1 2679\n1 2680\n1 2681\n1 2682\n1 2683\n1 2684\n1 2685\n1 2686\n1 2687\n1 2688\n1 2689\n1 2690\n1 2691\n1 2692\n1 2693\n1 2694\n1 2695\n1 2696\n1 2697\n1 2698\n1 2699\n1 2700\n1 2701\n1 2702\n1 2703\n1 2704\n1 2705\n1 2706\n1 2707\n1 2708\n1 2709\n1 2710\n1 2711\n1 2712\n1 2713\n1 2714\n1 2715\n1 2716\n1 2717\n1 2718\n1 2719\n1 2720\n1 2721\n1 2722\n1 2723\n1 2724\n1 2725\n1 2726\n1 2727\n1 2728\n1 2729\n1 2730\n1 2731\n1 2732\n1 2733\n1 2734\n1 2735\n1 2736\n1 2737\n1 2738\n1 2739\n1 2740\n1 2741\n1 2742\n1 2743\n1 2744\n1 2745\n1 2746\n1 2747\n1 2748\n1 2749\n1 2750\n1 2751\n1 2752\n1 2753\n1 2754\n1 2755\n1 2756\n1 2757\n1 2758\n1 2759\n1 2760\n1 2761\n1 2762\n1 2763\n1 2764\n1 2765\n1 2766\n1 2767\n1 2768\n1 2769\n1 2770\n1 2771\n1 2772\n1 2773\n1 2774\n1 2775\n1 2776\n1 2777\n1 2778\n1 2779\n1 2780\n1 2781\n1 2782\n1 2783\n1 2784\n1 2785\n1 2786\n1 2787\n1 2788\n1 2789\n1 2790\n1 2791\n1 2792\n1 2793\n1 2794\n1 2795\n1 2796\n1 2797\n1 2798\n1 2799\n1 2800\n1 2801\n1 2802\n1 2803\n1 2804\n1 2805\n1 2806\n1 2807\n1 2808\n1 2809\n1 2810\n1 2811\n1 2812\n1 2813\n1 2814\n1 2815\n1 2816\n1 2817\n1 2818\n1 2819\n1 2820\n1 2821\n1 2822\n1 2823\n1 2824\n1 2825\n1 2826\n1 2827\n1 2828\n1 2829\n1 2830\n1 2831\n1 2832\n1 2833\n1 2834\n1 2835\n1 2836\n1 2837\n1 2838\n1 2839\n1 2840\n1 2841\n1 2842\n1 2843\n1 2844\n1 2845\n1 2846\n1 2847\n1 2848\n1 2849\n1 2850\n1 2851\n1 2852\n1 2853\n1 2854\n1 2855\n1 2856\n1 2857\n1 2858\n1 2859\n1 2860\n1 2861\n1 2862\n1 2863\n1 2864\n1 2865\n1 2866\n1 2867\n1 2868\n1 2869\n1 2870\n1 2871\n1 2872\n1 2873\n1 2874\n1 2875\n1 2876\n1 2877\n1 2878\n1 2879\n1 2880\n1 2881\n1 2882\n1 2883\n1 2884\n1 2885\n1 2886\n1 2887\n1 2888\n1 2889\n1 2890\n1 2891\n1 2892\n1 2893\n1 2894\n1 2895\n1 2896\n1 2897\n1 2898\n1 2899\n1 2900\n1 2901\n1 2902\n1 2903\n1 2904\n1 2905\n1 2906\n1 2907\n1 2908\n1 2909\n1 2910\n1 2911\n1 2912\n1 2913\n1 2914\n1 2915\n1 2916\n1 2917\n1 2918\n1 2919\n1 2920\n1 2921\n1 2922\n1 2923\n1 2924\n1 2925\n1 2926\n1 2927\n1 2928\n1 2929\n1 2930\n1 2931\n1 2932\n1 2933\n1 2934\n1 2935\n1 2936\n1 2937\n1 2938\n1 2939\n1 2940\n1 2941\n1 2942\n1 2943\n1 2944\n1 2945\n1 2946\n1 2947\n1 2948\n1 2949\n1 2950\n1 2951\n1 2952\n1 2953\n1 2954\n1 2955\n1 2956\n1 2957\n1 2958\n1 2959\n1 2960\n1 2961\n1 2962\n1 2963\n1 2964\n1 2965\n1 2966\n1 2967\n1 2968\n1 2969\n1 2970\n1 2971\n1 2972\n1 2973\n1 2974\n1 2975\n1 2976\n1 2977\n1 2978\n1 2979\n1 2980\n1 2981\n1 2982\n1 2983\n1 2984\n1 2985\n1 2986\n1 2987\n1 2988\n1 2989\n1 2990\n1 2991\n1 2992\n1 2993\n1 2994\n1 2995\n1 2996\n1 2997\n1 2998\n1 2999\n1 3000\n1 3001\n1 3002\n1 3003\n1 3004\n1 3005\n1 3006\n1 3007\n1 3008\n1 3009\n1 3010\n1 3011\n1 3012\n1 3013\n1 3014\n1 3015\n1 3016\n1 3017\n1 3018\n1 3019\n1 3020\n1 3021\n1 3022\n1 3023\n1 3024\n1 3025\n1 3026\n1 3027\n1 3028\n1 3029\n1 3030\n1 3031\n1 3032\n1 3033\n1 3034\n1 3035\n1 3036\n1 3037\n1 3038\n1 3039\n1 3040\n1 3041\n1 3042\n1 3043\n1 3044\n1 3045\n1 3046\n1 3047\n1 3048\n1 3049\n1 3050\n1 3051\n1 3052\n1 3053\n1 3054\n1 3055\n1 3056\n1 3057\n1 3058\n1 3059\n1 3060\n1 3061\n1 3062\n1 3063\n1 3064\n1 3065\n1 3066\n1 3067\n1 3068\n1 3069\n1 3070\n1 3071\n1 3072\n1 3073\n1 3074\n1 3075\n1 3076\n1 3077\n1 3078\n1 3079\n1 3080\n1 3081\n1 3082\n1 3083\n1 3084\n1 3085\n1 3086\n1 3087\n1 3088\n1 3089\n1 3090\n1 3091\n1 3092\n1 3093\n1 3094\n1 3095\n1 3096\n1 3097\n1 3098\n1 3099\n1 3100\n1 3101\n1 3102\n1 3103\n1 3104\n1 3105\n1 3106\n1 3107\n1 3108\n1 3109\n1 3110\n1 3111\n1 3112\n1 3113\n1 3114\n1 3115\n1 3116\n1 3117\n1 3118\n1 3119\n1 3120\n1 3121\n1 3122\n1 3123\n1 3124\n1 3125\n1 3126\n1 3127\n1 3128\n1 3129\n1 3130\n1 3131\n1 3132\n1 3133\n1 3134\n1 3135\n1 3136\n1 3137\n1 3138\n1 3139\n1 3140\n1 3141\n1 3142\n1 3143\n1 3144\n1 3145\n1 3146\n1 3147\n1 3148\n1 3149\n1 3150\n1 3151\n1 3152\n1 3153\n1 3154\n1 3155\n1 3156\n1 3157\n1 3158\n1 3159\n1 3160\n1 3161\n1 3162\n1 3163\n1 3164\n1 3165\n1 3166\n1 3167\n1 3168\n1 3169\n1 3170\n1 3171\n1 3172\n1 3173\n1 3174\n1 3175\n1 3176\n1 3177\n1 3178\n1 3179\n1 3180\n1 3181\n1 3182\n1 3183\n1 3184\n1 3185\n1 3186\n1 3187\n1 3188\n1 3189\n1 3190\n1 3191\n1 3192\n1 3193\n1 3194\n1 3195\n1 3196\n1 3197\n1 3198\n1 3199\n1 3200\n1 3201\n1 3202\n1 3203\n1 3204\n1 3205\n1 3206\n1 3207\n1 3208\n1 3209\n1 3210\n1 3211\n1 3212\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n1 382\n1 383\n1 384\n1 385\n1 386\n1 387\n1 388\n1 389\n1 390\n1 391\n1 392\n1 393\n1 394\n1 395\n1 396\n1 397\n1 398\n1 399\n1 400\n1 401\n1 402\n1 403\n1 404\n1 405\n1 406\n1 407\n1 408\n1 409\n1 410\n1 411\n1 412\n1 413\n1 414\n1 415\n1 416\n1 417\n1 418\n1 419\n1 420\n1 421\n1 422\n1 423\n1 424\n1 425\n1 426\n1 427\n1 428\n1 429\n1 430\n1 431\n1 432\n1 433\n1 434\n1 435\n1 436\n1 437\n1 438\n1 439\n1 440\n1 441\n1 442\n1 443\n1 444\n1 445\n1 446\n1 447\n1 448\n1 449\n1 450\n1 451\n1 452\n1 453\n1 454\n1 455\n1 456\n1 457\n1 458\n1 459\n1 460\n1 461\n1 462\n1 463\n1 464\n1 465\n1 466\n1 467\n1 468\n1 469\n1 470\n1 471\n1 472\n1 473\n1 474\n1 475\n1 476\n1 477\n1 478\n1 479\n1 480\n1 481\n1 482\n1 483\n1 484\n1 485\n1 486\n1 487\n1 488\n1 489\n1 490\n1 491\n1 492\n1 493\n1 494\n1 495\n1 496\n1 497\n1 498\n1 499\n1 500\n1 501\n1 502\n1 503\n1 504\n1 505\n1 506\n1 507\n1 508\n1 509\n1 510\n1 511\n1 512\n1 513\n1 514\n1 515\n1 516\n1 517\n1 518\n1 519\n1 520\n1 521\n1 522\n1 523\n1 524\n1 525\n1 526\n1 527\n1 528\n1 529\n1 530\n1 531\n1 532\n1 533\n1 534\n1 535\n1 536\n1 537\n1 538\n1 539\n1 540\n1 541\n1 542\n1 543\n1 544\n1 545\n1 546\n1 547\n1 548\n1 549\n1 550\n1 551\n1 552\n1 553\n1 554\n1 555\n1 556\n1 557\n1 558\n1 559\n1 560\n1 561\n1 562\n1 563\n1 564\n1 565\n1 566\n1 567\n1 568\n1 569\n1 570\n1 571\n1 572\n1 573\n1 574\n1 575\n1 576\n1 577\n1 578\n1 579\n1 580\n1 581\n1 582\n1 583\n1 584\n1 585\n1 586\n1 587\n1 588\n1 589\n1 590\n1 591\n1 592\n1 593\n1 594\n1 595\n1 596\n1 597\n1 598\n1 599\n1 600\n1 601\n1 602\n1 603\n1 604\n1 605\n1 606\n1 607\n1 608\n1 609\n1 610\n1 611\n1 612\n1 613\n1 614\n1 615\n1 616\n1 617\n1 618\n1 619\n1 620\n1 621\n1 622\n1 623\n1 624\n1 625\n1 626\n1 627\n1 628\n1 629\n1 630\n1 631\n1 632\n1 633\n1 634\n1 635\n1 636\n1 637\n1 638\n1 639\n1 640\n1 641\n1 642\n1 643\n1 644\n1 645\n1 646\n1 647\n1 648\n1 649\n1 650\n1 651\n1 652\n1 653\n1 654\n1 655\n1 656\n1 657\n1 658\n1 659\n1 660\n1 661\n1 662\n1 663\n1 664\n1 665\n1 666\n1 667\n1 668\n1 669\n1 670\n1 671\n1 672\n1 673\n1 674\n1 675\n1 676\n1 677\n1 678\n1 679\n1 680\n1 681\n1 682\n1 683\n1 684\n1 685\n1 686\n1 687\n1 688\n1 689\n1 690\n1 691\n1 692\n1 693\n1 694\n1 695\n1 696\n1 697\n1 698\n1 699\n1 700\n1 701\n1 702\n1 703\n1 704\n1 705\n1 706\n1 707\n1 708\n1 709\n1 710\n1 711\n1 712\n1 713\n1 714\n1 715\n1 716\n1 717\n1 718\n1 719\n1 720\n1 721\n1 722\n1 723\n1 724\n1 725\n1 726\n1 727\n1 728\n1 729\n1 730\n1 731\n1 732\n1 733\n1 734\n1 735\n1 736\n1 737\n1 738\n1 739\n1 740\n1 741\n1 742\n1 743\n1 744\n1 745\n1 746\n1 747\n1 748\n1 749\n1 750\n1 751\n1 752\n1 753\n1 754\n1 755\n1 756\n1 757\n1 758\n1 759\n1 760\n1 761\n1 762\n1 763\n1 764\n1 765\n1 766\n1 767\n1 768\n1 769\n1 770\n1 771\n1 772\n1 773\n1 774\n1 775\n1 776\n1 777\n1 778\n1 779\n1 780\n1 781\n1 782\n1 783\n1 784\n1 785\n1 786\n1 787\n1 788\n1 789\n1 790\n1 791\n1 792\n1 793\n1 794\n1 795\n1 796\n1 797\n1 798\n1 799\n1 800\n1 801\n1 802\n1 803\n1 804\n1 805\n1 806\n1 807\n1 808\n1 809\n1 810\n1 811\n1 812\n1 813\n1 814\n1 815\n1 816\n1 817\n1 818\n1 819\n1 820\n1 821\n1 822\n1 823\n1 824\n1 825\n1 826\n1 827\n1 828\n1 829\n1 830\n1 831\n1 832\n1 833\n1 834\n1 835\n1 836\n1 837\n1 838\n1 839\n1 840\n1 841\n1 842\n1 843\n1 844\n1 845\n1 846\n1 847\n1 848\n1 849\n1 850\n1 851\n1 852\n1 853\n1 854\n1 855\n1 856\n1 857\n1 858\n1 859\n1 860\n1 861\n1 862\n1 863\n1 864\n1 865\n1 866\n1 867\n1 868\n1 869\n1 870\n1 871\n1 872\n1 873\n1 874\n1 875\n1 876\n1 877\n1 878\n1 879\n1 880\n1 881\n1 882\n1 883\n1 884\n1 885\n1 886\n1 887\n1 888\n1 889\n1 890\n1 891\n1 892\n1 893\n1 894\n1 895\n1 896\n1 897\n1 898\n1 899\n1 900\n1 901\n1 902\n1 903\n1 904\n1 905\n1 906\n1 907\n1 908\n1 909\n1 910\n1 911\n1 912\n1 913\n1 914\n1 915\n1 916\n1 917\n1 918\n1 919\n1 920\n1 921\n1 922\n1 923\n1 924\n1 925\n1 926\n1 927\n1 928\n1 929\n1 930\n1 931\n1 932\n1 933\n1 934\n1 935\n1 936\n1 937\n1 938\n1 939\n1 940\n1 941\n1 942\n1 943\n1 944\n1 945\n1 946\n1 947\n1 948\n1 949\n1 950\n1 951\n1 952\n1 953\n1 954\n1 955\n1 956\n1 957\n1 958\n1 959\n1 960\n1 961\n1 962\n1 963\n1 964\n1 965\n1 966\n1 967\n1 968\n1 969\n1 970\n1 971\n1 972\n1 973\n1 974\n1 975\n1 976\n1 977\n1 978\n1 979\n1 980\n1 981\n1 982\n1 983\n1 984\n1 985\n1 986\n1 987\n1 988\n1 989\n1 990\n1 991\n1 992\n1 993\n1 994\n1 995\n1 996\n1 997\n1 998\n1 999\n1 1000\n1 1001\n1 1002\n1 1003\n1 1004\n1 1005\n1 1006\n1 1007\n1 1008\n1 1009\n1 1010\n1 1011\n1 1012\n1 1013\n1 1014\n1 1015\n1 1016\n1 1017\n1 1018\n1 1019\n1 1020\n1 1021\n1 1022\n1 1023\n1 1024\n1 1025\n1 1026\n1 1027\n1 1028\n1 1029\n1 1030\n1 1031\n1 1032\n1 1033\n1 1034\n1 1035\n1 1036\n1 1037\n1 1038\n1 1039\n1 1040\n1 1041\n1 1042\n1 1043\n1 1044\n1 1045\n1 1046\n1 1047\n1 1048\n1 1049\n1 1050\n1 1051\n1 1052\n1 1053\n1 1054\n1 1055\n1 1056\n1 1057\n1 1058\n1 1059\n1 1060\n1 1061\n1 1062\n1 1063\n1 1064\n1 1065\n1 1066\n1 1067\n1 1068\n1 1069\n1 1070\n1 1071\n1 1072\n1 1073\n1 1074\n1 1075\n1 1076\n1 1077\n1 1078\n1 1079\n1 1080\n1 1081\n1 1082\n1 1083\n1 1084\n1 1085\n1 1086\n1 1087\n1 1088\n1 1089\n1 1090\n1 1091\n1 1092\n1 1093\n1 1094\n1 1095\n1 1096\n1 1097\n1 1098\n1 1099\n1 1100\n1 1101\n1 1102\n1 1103\n1 1104\n1 1105\n1 1106\n1 1107\n1 1108\n1 1109\n1 1110\n1 1111\n1 1112\n1 1113\n1 1114\n1 1115\n1 1116\n1 1117\n1 1118\n1 1119\n1 1120\n1 1121\n1 1122\n1 1123\n1 1124\n1 1125\n1 1126\n1 1127\n1 1128\n1 1129\n1 1130\n1 1131\n1 1132\n1 1133\n1 1134\n1 1135\n1 1136\n1 1137\n1 1138\n1 1139\n1 1140\n1 1141\n1 1142\n1 1143\n1 1144\n1 1145\n1 1146\n1 1147\n1 1148\n1 1149\n1 1150\n1 1151\n1 1152\n1 1153\n1 1154\n1 1155\n1 1156\n1 1157\n1 1158\n1 1159\n1 1160\n1 1161\n1 1162\n1 1163\n1 1164\n1 1165\n1 1166\n1 1167\n1 1168\n1 1169\n1 1170\n1 1171\n1 1172\n1 1173\n1 1174\n1 1175\n1 1176\n1 1177\n1 1178\n1 1179\n1 1180\n1 1181\n1 1182\n1 1183\n1 1184\n1 1185\n1 1186\n1 1187\n1 1188\n1 1189\n1 1190\n1 1191\n1 1192\n1 1193\n1 1194\n1 1195\n1 1196\n1 1197\n1 1198\n1 1199\n1 1200\n1 1201\n1 1202\n1 1203\n1 1204\n1 1205\n1 1206\n1 1207\n1 1208\n1 1209\n1 1210\n1 1211\n1 1212\n1 1213\n1 1214\n1 1215\n1 1216\n1 1217\n1 1218\n1 1219\n1 1220\n1 1221\n1 1222\n1 1223\n1 1224\n1 1225\n1 1226\n1 1227\n1 1228\n1 1229\n1 1230\n1 1231\n1 1232\n1 1233\n1 1234\n1 1235\n1 1236\n1 1237\n1 1238\n1 1239\n1 1240\n1 1241\n1 1242\n1 1243\n1 1244\n1 1245\n1 1246\n1 1247\n1 1248\n1 1249\n1 1250\n1 1251\n1 1252\n1 1253\n1 1254\n1 1255\n1 1256\n1 1257\n1 1258\n1 1259\n1 1260\n1 1261\n1 1262\n1 1263\n1 1264\n1 1265\n1 1266\n1 1267\n1 1268\n1 1269\n1 1270\n1 1271\n1 1272\n1 1273\n1 1274\n1 1275\n1 1276\n1 1277\n1 1278\n1 1279\n1 1280\n1 1281\n1 1282\n1 1283\n1 1284\n1 1285\n1 1286\n1 1287\n1 1288\n1 1289\n1 1290\n1 1291\n1 1292\n1 1293\n1 1294\n1 1295\n1 1296\n1 1297\n1 1298\n1 1299\n1 1300\n1 1301\n1 1302\n1 1303\n1 1304\n1 1305\n1 1306\n1 1307\n1 1308\n1 1309\n1 1310\n1 1311\n1 1312\n1 1313\n1 1314\n1 1315\n1 1316\n1 1317\n1 1318\n1 1319\n1 1320\n1 1321\n1 1322\n1 1323\n1 1324\n1 1325\n1 1326\n1 1327\n1 1328\n1 1329\n1 1330\n1 1331\n1 1332\n1 1333\n1 1334\n1 1335\n1 1336\n1 1337\n1 1338\n1 1339\n1 1340\n1 1341\n1 1342\n1 1343\n1 1344\n1 1345\n1 1346\n1 1347\n1 1348\n1 1349\n1 1350\n1 1351\n1 1352\n1 1353\n1 1354\n1 1355\n1 1356\n1 1357\n1 1358\n1 1359\n1 1360\n1 1361\n1 1362\n1 1363\n1 1364\n1 1365\n1 1366\n1 1367\n1 1368\n1 1369\n1 1370\n1 1371\n1 1372\n1 1373\n1 1374\n1 1375\n1 1376\n1 1377\n1 1378\n1 1379\n1 1380\n1 1381\n1 1382\n1 1383\n1 1384\n1 1385\n1 1386\n1 1387\n1 1388\n1 1389\n1 1390\n1 1391\n1 1392\n1 1393\n1 1394\n1 1395\n1 1396\n1 1397\n1 1398\n1 1399\n1 1400\n1 1401\n1 1402\n1 1403\n1 1404\n1 1405\n1 1406\n1 1407\n1 1408\n1 1409\n1 1410\n1 1411\n1 1412\n1 1413\n1 1414\n1 1415\n1 1416\n1 1417\n1 1418\n1 1419\n1 1420\n1 1421\n1 1422\n1 1423\n1 1424\n1 1425\n1 1426\n1 1427\n1 1428\n1 1429\n1 1430\n1 1431\n1 1432\n1 1433\n1 1434\n1 1435\n1 1436\n1 1437\n1 1438\n1 1439\n1 1440\n1 1441\n1 1442\n1 1443\n1 1444\n1 1445\n1 1446\n1 1447\n1 1448\n1 1449\n1 1450\n1 1451\n1 1452\n1 1453\n1 1454\n1 1455\n1 1456\n1 1457\n1 1458\n1 1459\n1 1460\n1 1461\n1 1462\n1 1463\n1 1464\n1 1465\n1 1466\n1 1467\n1 1468\n1 1469\n1 1470\n1 1471\n1 1472\n1 1473\n1 1474\n1 1475\n1 1476\n1 1477\n1 1478\n1 1479\n1 1480\n1 1481\n1 1482\n1 1483\n1 1484\n1 1485\n1 1486\n1 1487\n1 1488\n1 1489\n1 1490\n1 1491\n1 1492\n1 1493\n1 1494\n1 1495\n1 1496\n1 1497\n1 1498\n1 1499\n1 1500\n1 1501\n1 1502\n1 1503\n1 1504\n1 1505\n1 1506\n1 1507\n1 1508\n1 1509\n1 1510\n1 1511\n1 1512\n1 1513\n1 1514\n1 1515\n1 1516\n1 1517\n1 1518\n1 1519\n1 1520\n1 1521\n1 1522\n1 1523\n1 1524\n1 1525\n1 1526\n1 1527\n1 1528\n1 1529\n1 1530\n1 1531\n1 1532\n1 1533\n1 1534\n1 1535\n1 1536\n1 1537\n1 1538\n1 1539\n1 1540\n1 1541\n1 1542\n1 1543\n1 1544\n1 1545\n1 1546\n1 1547\n1 1548\n1 1549\n1 1550\n1 1551\n1 1552\n1 1553\n1 1554\n1 1555\n1 1556\n1 1557\n1 1558\n1 1559\n1 1560\n1 1561\n1 1562\n1 1563\n1 1564\n1 1565\n1 1566\n1 1567\n1 1568\n1 1569\n1 1570\n1 1571\n1 1572\n1 1573\n1 1574\n1 1575\n1 1576\n1 1577\n1 1578\n1 1579\n1 1580\n1 1581\n1 1582\n1 1583\n1 1584\n1 1585\n1 1586\n1 1587\n1 1588\n1 1589\n1 1590\n1 1591\n1 1592\n1 1593\n1 1594\n1 1595\n1 1596\n1 1597\n1 1598\n1 1599\n1 1600\n1 1601\n1 1602\n1 1603\n1 1604\n1 1605\n1 1606\n1 1607\n1 1608\n1 1609\n1 1610\n1 1611\n1 1612\n1 1613\n1 1614\n1 1615\n1 1616\n1 1617\n1 1618\n1 1619\n1 1620\n1 1621\n1 1622\n1 1623\n1 1624\n1 1625\n1 1626\n1 1627\n1 1628\n1 1629\n1 1630\n1 1631\n1 1632\n1 1633\n1 1634\n1 1635\n1 1636\n1 1637\n1 1638\n1 1639\n1 1640\n1 1641\n1 1642\n1 1643\n1 1644\n1 1645\n1 1646\n1 1647\n1 1648\n1 1649\n1 1650\n1 1651\n1 1652\n1 1653\n1 1654\n1 1655\n1 1656\n1 1657\n1 1658\n1 1659\n1 1660\n1 1661\n1 1662\n1 1663\n1 1664\n1 1665\n1 1666\n1 1667\n1 1668\n1 1669\n1 1670\n1 1671\n1 1672\n1 1673\n1 1674\n1 1675\n1 1676\n1 1677\n1 1678\n1 1679\n1 1680\n1 1681\n1 1682\n1 1683\n1 1684\n1 1685\n1 1686\n1 1687\n1 1688\n1 1689\n1 1690\n1 1691\n1 1692\n1 1693\n1 1694\n1 1695\n1 1696\n1 1697\n1 1698\n1 1699\n1 1700\n1 1701\n1 1702\n1 1703\n1 1704\n1 1705\n1 1706\n1 1707\n1 1708\n1 1709\n1 1710\n1 1711\n1 1712\n1 1713\n1 1714\n1 1715\n1 1716\n1 1717\n1 1718\n1 1719\n1 1720\n1 1721\n1 1722\n1 1723\n1 1724\n1 1725\n1 1726\n1 1727\n1 1728\n1 1729\n1 1730\n1 1731\n1 1732\n1 1733\n1 1734\n1 1735\n1 1736\n1 1737\n1 1738\n1 1739\n1 1740\n1 1741\n1 1742\n1 1743\n1 1744\n1 1745\n1 1746\n1 1747\n1 1748\n1 1749\n1 1750\n1 1751\n1 1752\n1 1753\n1 1754\n1 1755\n1 1756\n1 1757\n1 1758\n1 1759\n1 1760\n1 1761\n1 1762\n1 1763\n1 1764\n1 1765\n1 1766\n1 1767\n1 1768\n1 1769\n1 1770\n1 1771\n1 1772\n1 1773\n1 1774\n1 1775\n1 1776\n1 1777\n1 1778\n1 1779\n1 1780\n1 1781\n1 1782\n1 1783\n1 1784\n1 1785\n1 1786\n1 1787\n1 1788\n1 1789\n1 1790\n1 1791\n1 1792\n1 1793\n1 1794\n1 1795\n1 1796\n1 1797\n1 1798\n1 1799\n1 1800\n1 1801\n1 1802\n1 1803\n1 1804\n1 1805\n1 1806\n1 1807\n1 1808\n1 1809\n1 1810\n1 1811\n1 1812\n1 1813\n1 1814\n1 1815\n1 1816\n1 1817\n1 1818\n1 1819\n1 1820\n1 1821\n1 1822\n1 1823\n1 1824\n1 1825\n1 1826\n1 1827\n1 1828\n1 1829\n1 1830\n1 1831\n1 1832\n1 1833\n1 1834\n1 1835\n1 1836\n1 1837\n1 1838\n1 1839\n1 1840\n1 1841\n1 1842\n1 1843\n1 1844\n1 1845\n1 1846\n1 1847\n1 1848\n1 1849\n1 1850\n1 1851\n1 1852\n1 1853\n1 1854\n1 1855\n1 1856\n1 1857\n1 1858\n1 1859\n1 1860\n1 1861\n1 1862\n1 1863\n1 1864\n1 1865\n1 1866\n1 1867\n1 1868\n1 1869\n1 1870\n1 1871\n1 1872\n1 1873\n1 1874\n1 1875\n1 1876\n1 1877\n1 1878\n1 1879\n1 1880\n1 1881\n1 1882\n1 1883\n1 1884\n1 1885\n1 1886\n1 1887\n1 1888\n1 1889\n1 1890\n1 1891\n1 1892\n1 1893\n1 1894\n1 1895\n1 1896\n1 1897\n1 1898\n1 1899\n1 1900\n1 1901\n1 1902\n1 1903\n1 1904\n1 1905\n1 1906\n1 1907\n1 1908\n1 1909\n1 1910\n1 1911\n1 1912\n1 1913\n1 1914\n1 1915\n1 1916\n1 1917\n1 1918\n1 1919\n1 1920\n1 1921\n1 1922\n1 1923\n1 1924\n1 1925\n1 1926\n1 1927\n1 1928\n1 1929\n1 1930\n1 1931\n1 1932\n1 1933\n1 1934\n1 1935\n1 1936\n1 1937\n1 1938\n1 1939\n1 1940\n1 1941\n1 1942\n1 1943\n1 1944\n1 1945\n1 1946\n1 1947\n1 1948\n1 1949\n1 1950\n1 1951\n1 1952\n1 1953\n1 1954\n1 1955\n1 1956\n1 1957\n1 1958\n1 1959\n1 1960\n1 1961\n1 1962\n1 1963\n1 1964\n1 1965\n1 1966\n1 1967\n1 1968\n1 1969\n1 1970\n1 1971\n1 1972\n1 1973\n1 1974\n1 1975\n1 1976\n1 1977\n1 1978\n1 1979\n1 1980\n1 1981\n1 1982\n1 1983\n1 1984\n1 1985\n1 1986\n1 1987\n1 1988\n1 1989\n1 1990\n1 1991\n1 1992\n1 1993\n1 1994\n1 1995\n1 1996\n1 1997\n1 1998\n1 1999\n1 2000\n1 2001\n1 2002\n1 2003\n1 2004\n1 2005\n1 2006\n1 2007\n1 2008\n1 2009\n1 2010\n1 2011\n1 2012\n1 2013\n1 2014\n1 2015\n1 2016\n1 2017\n1 2018\n1 2019\n1 2020\n1 2021\n1 2022\n1 2023\n1 2024\n1 2025\n1 2026\n1 2027\n1 2028\n1 2029\n1 2030\n1 2031\n1 2032\n1 2033\n1 2034\n1 2035\n1 2036\n1 2037\n1 2038\n1 2039\n1 2040\n1 2041\n1 2042\n1 2043\n1 2044\n1 2045\n1 2046\n1 2047\n1 2048\n1 2049\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n1 382\n1 383\n1 384\n1 385\n1 386\n1 387\n1 388\n1 389\n1 390\n1 391\n1 392\n1 393\n1 394\n1 395\n1 396\n1 397\n1 398\n1 399\n1 400\n1 401\n1 402\n1 403\n1 404\n1 405\n1 406\n1 407\n1 408\n1 409\n1 410\n1 411\n1 412\n1 413\n1 414\n1 415\n1 416\n1 417\n1 418\n1 419\n1 420\n1 421\n1 422\n1 423\n1 424\n1 425\n1 426\n1 427\n1 428\n1 429\n1 430\n1 431\n1 432\n1 433\n1 434\n1 435\n1 436\n1 437\n1 438\n1 439\n1 440\n1 441\n1 442\n1 443\n1 444\n1 445\n1 446\n1 447\n1 448\n1 449\n1 450\n1 451\n1 452\n1 453\n1 454\n1 455\n1 456\n1 457\n1 458\n1 459\n1 460\n1 461\n1 462\n1 463\n1 464\n1 465\n1 466\n1 467\n1 468\n1 469\n1 470\n1 471\n1 472\n1 473\n1 474\n1 475\n1 476\n1 477\n1 478\n1 479\n1 480\n1 481\n1 482\n1 483\n1 484\n1 485\n1 486\n1 487\n1 488\n1 489\n1 490\n1 491\n1 492\n1 493\n1 494\n1 495\n1 496\n1 497\n1 498\n1 499\n1 500\n1 501\n1 502\n1 503\n1 504\n1 505\n1 506\n1 507\n1 508\n1 509\n1 510\n1 511\n1 512\n1 513\n1 514\n1 515\n1 516\n1 517\n1 518\n1 519\n1 520\n1 521\n1 522\n1 523\n1 524\n1 525\n1 526\n1 527\n1 528\n1 529\n1 530\n1 531\n1 532\n1 533\n1 534\n1 535\n1 536\n1 537\n1 538\n1 539\n1 540\n1 541\n1 542\n1 543\n1 544\n1 545\n1 546\n1 547\n1 548\n1 549\n1 550\n1 551\n1 552\n1 553\n1 554\n1 555\n1 556\n1 557\n1 558\n1 559\n1 560\n1 561\n1 562\n1 563\n1 564\n1 565\n1 566\n1 567\n1 568\n1 569\n1 570\n1 571\n1 572\n1 573\n1 574\n1 575\n1 576\n1 577\n1 578\n1 579\n1 580\n1 581\n1 582\n1 583\n1 584\n1 585\n1 586\n1 587\n1 588\n1 589\n1 590\n1 591\n1 592\n1 593\n1 594\n1 595\n1 596\n1 597\n1 598\n1 599\n1 600\n1 601\n1 602\n1 603\n1 604\n1 605\n1 606\n1 607\n1 608\n1 609\n1 610\n1 611\n1 612\n1 613\n1 614\n1 615\n1 616\n1 617\n1 618\n1 619\n1 620\n1 621\n1 622\n1 623\n1 624\n1 625\n1 626\n1 627\n1 628\n1 629\n1 630\n1 631\n1 632\n1 633\n1 634\n1 635\n1 636\n1 637\n1 638\n1 639\n1 640\n1 641\n1 642\n1 643\n1 644\n1 645\n1 646\n1 647\n1 648\n1 649\n1 650\n1 651\n1 652\n1 653\n1 654\n1 655\n1 656\n1 657\n1 658\n1 659\n1 660\n1 661\n1 662\n1 663\n1 664\n1 665\n1 666\n1 667\n1 668\n1 669\n1 670\n1 671\n1 672\n1 673\n1 674\n1 675\n1 676\n1 677\n1 678\n1 679\n1 680\n1 681\n1 682\n1 683\n1 684\n1 685\n1 686\n1 687\n1 688\n1 689\n1 690\n1 691\n1 692\n1 693\n1 694\n1 695\n1 696\n1 697\n1 698\n1 699\n1 700\n1 701\n1 702\n1 703\n1 704\n1 705\n1 706\n1 707\n1 708\n1 709\n1 710\n1 711\n1 712\n1 713\n1 714\n1 715\n1 716\n1 717\n1 718\n1 719\n1 720\n1 721\n1 722\n1 723\n1 724\n1 725\n1 726\n1 727\n1 728\n1 729\n1 730\n1 731\n1 732\n1 733\n1 734\n1 735\n1 736\n1 737\n1 738\n1 739\n1 740\n1 741\n1 742\n1 743\n1 744\n1 745\n1 746\n1 747\n1 748\n1 749\n1 750\n1 751\n1 752\n1 753\n1 754\n1 755\n1 756\n1 757\n1 758\n1 759\n1 760\n1 761\n1 762\n1 763\n1 764\n1 765\n1 766\n1 767\n1 768\n1 769\n1 770\n1 771\n1 772\n1 773\n1 774\n1 775\n1 776\n1 777\n1 778\n1 779\n1 780\n1 781\n1 782\n1 783\n1 784\n1 785\n1 786\n1 787\n1 788\n1 789\n1 790\n1 791\n1 792\n1 793\n1 794\n1 795\n1 796\n1 797\n1 798\n1 799\n1 800\n1 801\n1 802\n1 803\n1 804\n1 805\n1 806\n1 807\n1 808\n1 809\n1 810\n1 811\n1 812\n1 813\n1 814\n1 815\n1 816\n1 817\n1 818\n1 819\n1 820\n1 821\n1 822\n1 823\n1 824\n1 825\n1 826\n1 827\n1 828\n1 829\n1 830\n1 831\n1 832\n1 833\n1 834\n1 835\n1 836\n1 837\n1 838\n1 839\n1 840\n1 841\n1 842\n1 843\n1 844\n1 845\n1 846\n1 847\n1 848\n1 849\n1 850\n1 851\n1 852\n1 853\n1 854\n1 855\n1 856\n1 857\n1 858\n1 859\n1 860\n1 861\n1 862\n1 863\n1 864\n1 865\n1 866\n1 867\n1 868\n1 869\n1 870\n1 871\n1 872\n1 873\n1 874\n1 875\n1 876\n1 877\n1 878\n1 879\n1 880\n1 881\n1 882\n1 883\n1 884\n1 885\n1 886\n1 887\n1 888\n1 889\n1 890\n1 891\n1 892\n1 893\n1 894\n1 895\n1 896\n1 897\n1 898\n1 899\n1 900\n1 901\n1 902\n1 903\n1 904\n1 905\n1 906\n1 907\n1 908\n1 909\n1 910\n1 911\n1 912\n1 913\n1 914\n1 915\n1 916\n1 917\n1 918\n1 919\n1 920\n1 921\n1 922\n1 923\n1 924\n1 925\n1 926\n1 927\n1 928\n1 929\n1 930\n1 931\n1 932\n1 933\n1 934\n1 935\n1 936\n1 937\n1 938\n1 939\n1 940\n1 941\n1 942\n1 943\n1 944\n1 945\n1 946\n1 947\n1 948\n1 949\n1 950\n1 951\n1 952\n1 953\n1 954\n1 955\n1 956\n1 957\n1 958\n1 959\n1 960\n1 961\n1 962\n1 963\n1 964\n1 965\n1 966\n1 967\n1 968\n1 969\n1 970\n1 971\n1 972\n1 973\n1 974\n1 975\n1 976\n1 977\n1 978\n1 979\n1 980\n1 981\n1 982\n1 983\n1 984\n1 985\n1 986\n1 987\n1 988\n1 989\n1 990\n1 991\n1 992\n1 993\n1 994\n1 995\n1 996\n1 997\n1 998\n1 999\n1 1000\n1 1001\n1 1002\n1 1003\n1 1004\n1 1005\n1 1006\n1 1007\n1 1008\n1 1009\n1 1010\n1 1011\n1 1012\n1 1013\n1 1014\n1 1015\n1 1016\n1 1017\n1 1018\n1 1019\n1 1020\n1 1021\n1 1022\n1 1023\n1 1024\n1 1025\n1 1026\n1 1027\n1 1028\n1 1029\n1 1030\n1 1031\n1 1032\n1 1033\n1 1034\n1 1035\n1 1036\n1 1037\n1 1038\n1 1039\n1 1040\n1 1041\n1 1042\n1 1043\n1 1044\n1 1045\n1 1046\n1 1047\n1 1048\n1 1049\n1 1050\n1 1051\n1 1052\n1 1053\n1 1054\n1 1055\n1 1056\n1 1057\n1 1058\n1 1059\n1 1060\n1 1061\n1 1062\n1 1063\n1 1064\n1 1065\n1 1066\n1 1067\n1 1068\n1 1069\n1 1070\n1 1071\n1 1072\n1 1073\n1 1074\n1 1075\n1 1076\n1 1077\n1 1078\n1 1079\n1 1080\n1 1081\n1 1082\n1 1083\n1 1084\n1 1085\n1 1086\n1 1087\n1 1088\n1 1089\n1 1090\n1 1091\n1 1092\n1 1093\n1 1094\n1 1095\n1 1096\n1 1097\n1 1098\n1 1099\n1 1100\n1 1101\n1 1102\n1 1103\n1 1104\n1 1105\n1 1106\n1 1107\n1 1108\n1 1109\n1 1110\n1 1111\n1 1112\n1 1113\n1 1114\n1 1115\n1 1116\n1 1117\n1 1118\n1 1119\n1 1120\n1 1121\n1 1122\n1 1123\n1 1124\n1 1125\n1 1126\n1 1127\n1 1128\n1 1129\n1 1130\n1 1131\n1 1132\n1 1133\n1 1134\n1 1135\n1 1136\n1 1137\n1 1138\n1 1139\n1 1140\n1 1141\n1 1142\n1 1143\n1 1144\n1 1145\n1 1146\n1 1147\n1 1148\n1 1149\n1 1150\n1 1151\n1 1152\n1 1153\n1 1154\n1 1155\n1 1156\n1 1157\n1 1158\n1 1159\n1 1160\n1 1161\n1 1162\n1 1163\n1 1164\n1 1165\n1 1166\n1 1167\n1 1168\n1 1169\n1 1170\n1 1171\n1 1172\n1 1173\n1 1174\n1 1175\n1 1176\n1 1177\n1 1178\n1 1179\n1 1180\n1 1181\n1 1182\n1 1183\n1 1184\n1 1185\n1 1186\n1 1187\n1 1188\n1 1189\n1 1190\n1 1191\n1 1192\n1 1193\n1 1194\n1 1195\n1 1196\n1 1197\n1 1198\n1 1199\n1 1200\n1 1201\n1 1202\n1 1203\n1 1204\n1 1205\n1 1206\n1 1207\n1 1208\n1 1209\n1 1210\n1 1211\n1 1212\n1 1213\n1 1214\n1 1215\n1 1216\n1 1217\n1 1218\n1 1219\n1 1220\n1 1221\n1 1222\n1 1223\n1 1224\n1 1225\n1 1226\n1 1227\n1 1228\n1 1229\n1 1230\n1 1231\n1 1232\n1 1233\n1 1234\n1 1235\n1 1236\n1 1237\n1 1238\n1 1239\n1 1240\n1 1241\n1 1242\n1 1243\n1 1244\n1 1245\n1 1246\n1 1247\n1 1248\n1 1249\n1 1250\n1 1251\n1 1252\n1 1253\n1 1254\n1 1255\n1 1256\n1 1257\n1 1258\n1 1259\n1 1260\n1 1261\n1 1262\n1 1263\n1 1264\n1 1265\n1 1266\n1 1267\n1 1268\n1 1269\n1 1270\n1 1271\n1 1272\n1 1273\n1 1274\n1 1275\n1 1276\n1 1277\n1 1278\n1 1279\n1 1280\n1 1281\n1 1282\n1 1283\n1 1284\n1 1285\n1 1286\n1 1287\n1 1288\n1 1289\n1 1290\n1 1291\n1 1292\n1 1293\n1 1294\n1 1295\n1 1296\n1 1297\n1 1298\n1 1299\n1 1300\n1 1301\n1 1302\n1 1303\n1 1304\n1 1305\n1 1306\n1 1307\n1 1308\n1 1309\n1 1310\n1 1311\n1 1312\n1 1313\n1 1314\n1 1315\n1 1316\n1 1317\n1 1318\n1 1319\n1 1320\n1 1321\n1 1322\n1 1323\n1 1324\n1 1325\n1 1326\n1 1327\n1 1328\n1 1329\n1 1330\n1 1331\n1 1332\n1 1333\n1 1334\n1 1335\n1 1336\n1 1337\n1 1338\n1 1339\n1 1340\n1 1341\n1 1342\n1 1343\n1 1344\n1 1345\n1 1346\n1 1347\n1 1348\n1 1349\n1 1350\n1 1351\n1 1352\n1 1353\n1 1354\n1 1355\n1 1356\n1 1357\n1 1358\n1 1359\n1 1360\n1 1361\n1 1362\n1 1363\n1 1364\n1 1365\n1 1366\n1 1367\n1 1368\n1 1369\n1 1370\n1 1371\n1 1372\n1 1373\n1 1374\n1 1375\n1 1376\n1 1377\n1 1378\n1 1379\n1 1380\n1 1381\n1 1382\n1 1383\n1 1384\n1 1385\n1 1386\n1 1387\n1 1388\n1 1389\n1 1390\n1 1391\n1 1392\n1 1393\n1 1394\n1 1395\n1 1396\n1 1397\n1 1398\n1 1399\n1 1400\n1 1401\n1 1402\n1 1403\n1 1404\n1 1405\n1 1406\n1 1407\n1 1408\n1 1409\n1 1410\n1 1411\n1 1412\n1 1413\n1 1414\n1 1415\n1 1416\n1 1417\n1 1418\n1 1419\n1 1420\n1 1421\n1 1422\n1 1423\n1 1424\n1 1425\n1 1426\n1 1427\n1 1428\n1 1429\n1 1430\n1 1431\n1 1432\n1 1433\n1 1434\n1 1435\n1 1436\n1 1437\n1 1438\n1 1439\n1 1440\n1 1441\n1 1442\n1 1443\n1 1444\n1 1445\n1 1446\n1 1447\n1 1448\n1 1449\n1 1450\n1 1451\n1 1452\n1 1453\n1 1454\n1 1455\n1 1456\n1 1457\n1 1458\n1 1459\n1 1460\n1 1461\n1 1462\n1 1463\n1 1464\n1 1465\n1 1466\n1 1467\n1 1468\n1 1469\n1 1470\n1 1471\n1 1472\n1 1473\n1 1474\n1 1475\n1 1476\n1 1477\n1 1478\n1 1479\n1 1480\n1 1481\n1 1482\n1 1483\n1 1484\n1 1485\n1 1486\n1 1487\n1 1488\n1 1489\n1 1490\n1 1491\n1 1492\n1 1493\n1 1494\n1 1495\n1 1496\n1 1497\n1 1498\n1 1499\n1 1500\n1 1501\n1 1502\n1 1503\n1 1504\n1 1505\n1 1506\n1 1507\n1 1508\n1 1509\n1 1510\n1 1511\n1 1512\n1 1513\n1 1514\n1 1515\n1 1516\n1 1517\n1 1518\n1 1519\n1 1520\n1 1521\n1 1522\n1 1523\n1 1524\n1 1525\n1 1526\n1 1527\n1 1528\n1 1529\n1 1530\n1 1531\n1 1532\n1 1533\n1 1534\n1 1535\n1 1536\n1 1537\n1 1538\n1 1539\n1 1540\n1 1541\n1 1542\n1 1543\n1 1544\n1 1545\n1 1546\n1 1547\n1 1548\n1 1549\n1 1550\n1 1551\n1 1552\n1 1553\n1 1554\n1 1555\n1 1556\n1 1557\n1 1558\n1 1559\n1 1560\n1 1561\n1 1562\n1 1563\n1 1564\n1 1565\n1 1566\n1 1567\n1 1568\n1 1569\n1 1570\n1 1571\n1 1572\n1 1573\n1 1574\n1 1575\n1 1576\n1 1577\n1 1578\n1 1579\n1 1580\n1 1581\n1 1582\n1 1583\n1 1584\n1 1585\n1 1586\n1 1587\n1 1588\n1 1589\n1 1590\n1 1591\n1 1592\n1 1593\n1 1594\n1 1595\n1 1596\n1 1597\n1 1598\n1 1599\n1 1600\n1 1601\n1 1602\n1 1603\n1 1604\n1 1605\n1 1606\n1 1607\n1 1608\n1 1609\n1 1610\n1 1611\n1 1612\n1 1613\n1 1614\n1 1615\n1 1616\n1 1617\n1 1618\n1 1619\n1 1620\n1 1621\n1 1622\n1 1623\n1 1624\n1 1625\n1 1626\n1 1627\n1 1628\n1 1629\n1 1630\n1 1631\n1 1632\n1 1633\n1 1634\n1 1635\n1 1636\n1 1637\n1 1638\n1 1639\n1 1640\n1 1641\n1 1642\n1 1643\n1 1644\n1 1645\n1 1646\n1 1647\n1 1648\n1 1649\n1 1650\n1 1651\n1 1652\n1 1653\n1 1654\n1 1655\n1 1656\n1 1657\n1 1658\n1 1659\n1 1660\n1 1661\n1 1662\n1 1663\n1 1664\n1 1665\n1 1666\n1 1667\n1 1668\n1 1669\n1 1670\n1 1671\n1 1672\n1 1673\n1 1674\n1 1675\n1 1676\n1 1677\n1 1678\n1 1679\n1 1680\n1 1681\n1 1682\n1 1683\n1 1684\n1 1685\n1 1686\n1 1687\n1 1688\n1 1689\n1 1690\n1 1691\n1 1692\n1 1693\n1 1694\n1 1695\n1 1696\n1 1697\n1 1698\n1 1699\n1 1700\n1 1701\n1 1702\n1 1703\n1 1704\n1 1705\n1 1706\n1 1707\n1 1708\n1 1709\n1 1710\n1 1711\n1 1712\n1 1713\n1 1714\n1 1715\n1 1716\n1 1717\n1 1718\n1 1719\n1 1720\n1 1721\n1 1722\n1 1723\n1 1724\n1 1725\n1 1726\n1 1727\n1 1728\n1 1729\n1 1730\n1 1731\n1 1732\n1 1733\n1 1734\n1 1735\n1 1736\n1 1737\n1 1738\n1 1739\n1 1740\n1 1741\n1 1742\n1 1743\n1 1744\n1 1745\n1 1746\n1 1747\n1 1748\n1 1749\n1 1750\n1 1751\n1 1752\n1 1753\n1 1754\n1 1755\n1 1756\n1 1757\n1 1758\n1 1759\n1 1760\n1 1761\n1 1762\n1 1763\n1 1764\n1 1765\n1 1766\n1 1767\n1 1768\n1 1769\n1 1770\n1 1771\n1 1772\n1 1773\n1 1774\n1 1775\n1 1776\n1 1777\n1 1778\n1 1779\n1 1780\n1 1781\n1 1782\n1 1783\n1 1784\n1 1785\n1 1786\n1 1787\n1 1788\n1 1789\n1 1790\n1 1791\n1 1792\n1 1793\n1 1794\n1 1795\n1 1796\n1 1797\n1 1798\n1 1799\n1 1800\n1 1801\n1 1802\n1 1803\n1 1804\n1 1805\n1 1806\n1 1807\n1 1808\n1 1809\n1 1810\n1 1811\n1 1812\n1 1813\n1 1814\n1 1815\n1 1816\n1 1817\n1 1818\n1 1819\n1 1820\n1 1821\n1 1822\n1 1823\n1 1824\n1 1825\n1 1826\n1 1827\n1 1828\n1 1829\n1 1830\n1 1831\n1 1832\n1 1833\n1 1834\n1 1835\n1 1836\n1 1837\n1 1838\n1 1839\n1 1840\n1 1841\n1 1842\n1 1843\n1 1844\n1 1845\n1 1846\n1 1847\n1 1848\n1 1849\n1 1850\n1 1851\n1 1852\n1 1853\n1 1854\n1 1855\n1 1856\n1 1857\n1 1858\n1 1859\n1 1860\n1 1861\n1 1862\n1 1863\n1 1864\n1 1865\n1 1866\n1 1867\n1 1868\n1 1869\n1 1870\n1 1871\n1 1872\n1 1873\n1 1874\n1 1875\n1 1876\n1 1877\n1 1878\n1 1879\n1 1880\n1 1881\n1 1882\n1 1883\n1 1884\n1 1885\n1 1886\n1 1887\n1 1888\n1 1889\n1 1890\n1 1891\n1 1892\n1 1893\n1 1894\n1 1895\n1 1896\n1 1897\n1 1898\n1 1899\n1 1900\n1 1901\n1 1902\n1 1903\n1 1904\n1 1905\n1 1906\n1 1907\n1 1908\n1 1909\n1 1910\n1 1911\n1 1912\n1 1913\n1 1914\n1 1915\n1 1916\n1 1917\n1 1918\n1 1919\n1 1920\n1 1921\n1 1922\n1 1923\n1 1924\n1 1925\n1 1926\n1 1927\n1 1928\n1 1929\n1 1930\n1 1931\n1 1932\n1 1933\n1 1934\n1 1935\n1 1936\n1 1937\n1 1938\n1 1939\n1 1940\n1 1941\n1 1942\n1 1943\n1 1944\n1 1945\n1 1946\n1 1947\n1 1948\n1 1949\n1 1950\n1 1951\n1 1952\n1 1953\n1 1954\n1 1955\n1 1956\n1 1957\n1 1958\n1 1959\n1 1960\n1 1961\n1 1962\n1 1963\n1 1964\n1 1965\n1 1966\n1 1967\n1 1968\n1 1969\n1 1970\n1 1971\n1 1972\n1 1973\n1 1974\n1 1975\n1 1976\n1 1977\n1 1978\n1 1979\n1 1980\n1 1981\n1 1982\n1 1983\n1 1984\n1 1985\n1 1986\n1 1987\n1 1988\n1 1989\n1 1990\n1 1991\n1 1992\n1 1993\n1 1994\n1 1995\n1 1996\n1 1997\n1 1998\n1 1999\n1 2000\n1 2001\n1 2002\n1 2003\n1 2004\n1 2005\n1 2006\n1 2007\n1 2008\n1 2009\n1 2010\n1 2011\n1 2012\n1 2013\n1 2014\n1 2015\n1 2016\n1 2017\n1 2018\n1 2019\n1 2020\n1 2021\n1 2022\n1 2023\n1 2024\n1 2025\n1 2026\n1 2027\n1 2028\n1 2029\n1 2030\n1 2031\n1 2032\n1 2033\n1 2034\n1 2035\n1 2036\n1 2037\n1 2038\n1 2039\n1 2040\n1 2041\n1 2042\n1 2043\n1 2044\n1 2045\n1 2046\n1 2047\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 3125\n2 3126\n2 3127\n2 3128\n2 3129\n2 3130\n2 3131\n2 3132\n2 3133\n2 3134\n2 3135\n2 3136\n2 3137\n2 3138\n2 3139\n2 3140\n2 3141\n2 3142\n2 3143\n2 3144\n2 3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n2 3213\n2 3214\n2 3215\n2 3216\n2 3217\n2 3218\n2 3219\n2 3220\n2 3221\n2 3222\n2 3223\n2 3224\n2 3225\n2 3226\n2 3227\n2 3228\n2 3229\n2 3230\n2 3231\n2 3232\n2 3233\n2 3234\n2 3235\n2 3236\n2 3237\n2 3238\n2 3239\n2 3240\n2 3241\n2 3242\n2 3243\n2 3244\n2 3245\n2 3246\n2 3247\n2 3248\n2 3249\n2 3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 3295\n2 3296\n2 3297\n2 3298\n2 3299\n2 3300\n2 3301\n2 3302\n2 3303\n2 3304\n2 3305\n2 3306\n2 3307\n2 3308\n2 3309\n2 3310\n2 3311\n2 3312\n2 3313\n2 3314\n2 3315\n2 3316\n2 3317\n2 3318\n2 3319\n2 3320\n2 3321\n2 3322\n2 3323\n2 3324\n2 3325\n2 3326\n2 3327\n2 3328\n2 3329\n2 3330\n2 3331\n2 3332\n2 3333\n2 3334\n2 3335\n2 3336\n2 3337\n2 3338\n2 3339\n2 3340\n2 3341\n2 3342\n2 3343\n2 3344\n2 3345\n2 3346\n2 3347\n2 3348\n2 3349\n2 3350\n2 3351\n2 3352\n2 3353\n2 3354\n2 3355\n2 3356\n2 3357\n2 3358\n2 3359\n2 3360\n2 3361\n2 3362\n2 3363\n2 3364\n2 3365\n2 3366\n2 3367\n2 3368\n2 3369\n2 3370\n2 3371\n2 3372\n2 3373\n2 3374\n2 3375\n2 3376\n2 3377\n2 3378\n2 3379\n2 3380\n2 3381\n2 3382\n2 3383\n2 3384\n2 3385\n2 3386\n2 3387\n2 3388\n2 3389\n2 3390\n2 3391\n2 3392\n2 3393\n2 3394\n2 3395\n2 3396\n2 3397\n2 3398\n2 3399\n2 3400\n2 3401\n2 3402\n2 3403\n2 3404\n2 3405\n2 3406\n2 3407\n2 3408\n2 3409\n2 3410\n2 3411\n2 3412\n2 3413\n2 3414\n2 3415\n2 3416\n2 3417\n2 3418\n2 3419\n2 3420\n2 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78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n1 382\n1 383\n1 384\n1 385\n1 386\n1 387\n1 388\n1 389\n1 390\n1 391\n1 392\n1 393\n1 394\n1 395\n1 396\n1 397\n1 398\n1 399\n1 400\n1 401\n1 402\n1 403\n1 404\n1 405\n1 406\n1 407\n1 408\n1 409\n1 410\n1 411\n1 412\n1 413\n1 414\n1 415\n1 416\n1 417\n1 418\n1 419\n1 420\n1 421\n1 422\n1 423\n1 424\n1 425\n1 426\n1 427\n1 428\n1 429\n1 430\n1 431\n1 432\n1 433\n1 434\n1 435\n1 436\n1 437\n1 438\n1 439\n1 440\n1 441\n1 442\n1 443\n1 444\n1 445\n1 446\n1 447\n1 448\n1 449\n1 450\n1 451\n1 452\n1 453\n1 454\n1 455\n1 456\n1 457\n1 458\n1 459\n1 460\n1 461\n1 462\n1 463\n1 464\n1 465\n1 466\n1 467\n1 468\n1 469\n1 470\n1 471\n1 472\n1 473\n1 474\n1 475\n1 476\n1 477\n1 478\n1 479\n1 480\n1 481\n1 482\n1 483\n1 484\n1 485\n1 486\n1 487\n1 488\n1 489\n1 490\n1 491\n1 492\n1 493\n1 494\n1 495\n1 496\n1 497\n1 498\n1 499\n1 500\n1 501\n1 502\n1 503\n1 504\n1 505\n1 506\n1 507\n1 508\n1 509\n1 510\n1 511\n1 512\n1 513\n1 514\n1 515\n1 516\n1 517\n1 518\n1 519\n1 520\n1 521\n1 522\n1 523\n1 524\n1 525\n1 526\n1 527\n1 528\n1 529\n1 530\n1 531\n1 532\n1 533\n1 534\n1 535\n1 536\n1 537\n1 538\n1 539\n1 540\n1 541\n1 542\n1 543\n1 544\n1 545\n1 546\n1 547\n1 548\n1 549\n1 550\n1 551\n1 552\n1 553\n1 554\n1 555\n1 556\n1 557\n1 558\n1 559\n1 560\n1 561\n1 562\n1 563\n1 564\n1 565\n1 566\n1 567\n1 568\n1 569\n1 570\n1 571\n1 572\n1 573\n1 574\n1 575\n1 576\n1 577\n1 578\n1 579\n1 580\n1 581\n1 582\n1 583\n1 584\n1 585\n1 586\n1 587\n1 588\n1 589\n1 590\n1 591\n1 592\n1 593\n1 594\n1 595\n1 596\n1 597\n1 598\n1 599\n1 600\n1 601\n1 602\n1 603\n1 604\n1 605\n1 606\n1 607\n1 608\n1 609\n1 610\n1 611\n1 612\n1 613\n1 614\n1 615\n1 616\n1 617\n1 618\n1 619\n1 620\n1 621\n1 622\n1 623\n1 624\n1 625\n1 626\n1 627\n1 628\n1 629\n1 630\n1 631\n1 632\n1 633\n1 634\n1 635\n1 636\n1 637\n1 638\n1 639\n1 640\n1 641\n1 642\n1 643\n1 644\n1 645\n1 646\n1 647\n1 648\n1 649\n1 650\n1 651\n1 652\n1 653\n1 654\n1 655\n1 656\n1 657\n1 658\n1 659\n1 660\n1 661\n1 662\n1 663\n1 664\n1 665\n1 666\n1 667\n1 668\n1 669\n1 670\n1 671\n1 672\n1 673\n1 674\n1 675\n1 676\n1 677\n1 678\n1 679\n1 680\n1 681\n1 682\n1 683\n1 684\n1 685\n1 686\n1 687\n1 688\n1 689\n1 690\n1 691\n1 692\n1 693\n1 694\n1 695\n1 696\n1 697\n1 698\n1 699\n1 700\n1 701\n1 702\n1 703\n1 704\n1 705\n1 706\n1 707\n1 708\n1 709\n1 710\n1 711\n1 712\n1 713\n1 714\n1 715\n1 716\n1 717\n1 718\n1 719\n1 720\n1 721\n1 722\n1 723\n1 724\n1 725\n1 726\n1 727\n1 728\n1 729\n1 730\n1 731\n1 732\n1 733\n1 734\n1 735\n1 736\n1 737\n1 738\n1 739\n1 740\n1 741\n1 742\n1 743\n1 744\n1 745\n1 746\n1 747\n1 748\n1 749\n1 750\n1 751\n1 752\n1 753\n1 754\n1 755\n1 756\n1 757\n1 758\n1 759\n1 760\n1 761\n1 762\n1 763\n1 764\n1 765\n1 766\n1 767\n1 768\n1 769\n1 770\n1 771\n1 772\n1 773\n1 774\n1 775\n1 776\n1 777\n1 778\n1 779\n1 780\n1 781\n1 782\n1 783\n1 784\n1 785\n1 786\n1 787\n1 788\n1 789\n1 790\n1 791\n1 792\n1 793\n1 794\n1 795\n1 796\n1 797\n1 798\n1 799\n1 800\n1 801\n1 802\n1 803\n1 804\n1 805\n1 806\n1 807\n1 808\n1 809\n1 810\n1 811\n1 812\n1 813\n1 814\n1 815\n1 816\n1 817\n1 818\n1 819\n1 820\n1 821\n1 822\n1 823\n1 824\n1 825\n1 826\n1 827\n1 828\n1 829\n1 830\n1 831\n1 832\n1 833\n1 834\n1 835\n1 836\n1 837\n1 838\n1 839\n1 840\n1 841\n1 842\n1 843\n1 844\n1 845\n1 846\n1 847\n1 848\n1 849\n1 850\n1 851\n1 852\n1 853\n1 854\n1 855\n1 856\n1 857\n1 858\n1 859\n1 860\n1 861\n1 862\n1 863\n1 864\n1 865\n1 866\n1 867\n1 868\n1 869\n1 870\n1 871\n1 872\n1 873\n1 874\n1 875\n1 876\n1 877\n1 878\n1 879\n1 880\n1 881\n1 882\n1 883\n1 884\n1 885\n1 886\n1 887\n1 888\n1 889\n1 890\n1 891\n1 892\n1 893\n1 894\n1 895\n1 896\n1 897\n1 898\n1 899\n1 900\n1 901\n1 902\n1 903\n1 904\n1 905\n1 906\n1 907\n1 908\n1 909\n1 910\n1 911\n1 912\n1 913\n1 914\n1 915\n1 916\n1 917\n1 918\n1 919\n1 920\n1 921\n1 922\n1 923\n1 924\n1 925\n1 926\n1 927\n1 928\n1 929\n1 930\n1 931\n1 932\n1 933\n1 934\n1 935\n1 936\n1 937\n1 938\n1 939\n1 940\n1 941\n1 942\n1 943\n1 944\n1 945\n1 946\n1 947\n1 948\n1 949\n1 950\n1 951\n1 952\n1 953\n1 954\n1 955\n1 956\n1 957\n1 958\n1 959\n1 960\n1 961\n1 962\n1 963\n1 964\n1 965\n1 966\n1 967\n1 968\n1 969\n1 970\n1 971\n1 972\n1 973\n1 974\n1 975\n1 976\n1 977\n1 978\n1 979\n1 980\n1 981\n1 982\n1 983\n1 984\n1 985\n1 986\n1 987\n1 988\n1 989\n1 990\n1 991\n1 992\n1 993\n1 994\n1 995\n1 996\n1 997\n1 998\n1 999\n1 1000\n1 1001\n1 1002\n1 1003\n1 1004\n1 1005\n1 1006\n1 1007\n1 1008\n1 1009\n1 1010\n1 1011\n1 1012\n1 1013\n1 1014\n1 1015\n1 1016\n1 1017\n1 1018\n1 1019\n1 1020\n1 1021\n1 1022\n1 1023\n1 1024\n1 1025\n1 1026\n1 1027\n1 1028\n1 1029\n1 1030\n1 1031\n1 1032\n1 1033\n1 1034\n1 1035\n1 1036\n1 1037\n1 1038\n1 1039\n1 1040\n1 1041\n1 1042\n1 1043\n1 1044\n1 1045\n1 1046\n1 1047\n1 1048\n1 1049\n1 1050\n1 1051\n1 1052\n1 1053\n1 1054\n1 1055\n1 1056\n1 1057\n1 1058\n1 1059\n1 1060\n1 1061\n1 1062\n1 1063\n1 1064\n1 1065\n1 1066\n1 1067\n1 1068\n1 1069\n1 1070\n1 1071\n1 1072\n1 1073\n1 1074\n1 1075\n1 1076\n1 1077\n1 1078\n1 1079\n1 1080\n1 1081\n1 1082\n1 1083\n1 1084\n1 1085\n1 1086\n1 1087\n1 1088\n1 1089\n1 1090\n1 1091\n1 1092\n1 1093\n1 1094\n1 1095\n1 1096\n1 1097\n1 1098\n1 1099\n1 1100\n1 1101\n1 1102\n1 1103\n1 1104\n1 1105\n1 1106\n1 1107\n1 1108\n1 1109\n1 1110\n1 1111\n1 1112\n1 1113\n1 1114\n1 1115\n1 1116\n1 1117\n1 1118\n1 1119\n1 1120\n1 1121\n1 1122\n1 1123\n1 1124\n1 1125\n1 1126\n1 1127\n1 1128\n1 1129\n1 1130\n1 1131\n1 1132\n1 1133\n1 1134\n1 1135\n1 1136\n1 1137\n1 1138\n1 1139\n1 1140\n1 1141\n1 1142\n1 1143\n1 1144\n1 1145\n1 1146\n1 1147\n1 1148\n1 1149\n1 1150\n1 1151\n1 1152\n1 1153\n1 1154\n1 1155\n1 1156\n1 1157\n1 1158\n1 1159\n1 1160\n1 1161\n1 1162\n1 1163\n1 1164\n1 1165\n1 1166\n1 1167\n1 1168\n1 1169\n1 1170\n1 1171\n1 1172\n1 1173\n1 1174\n1 1175\n1 1176\n1 1177\n1 1178\n1 1179\n1 1180\n1 1181\n1 1182\n1 1183\n1 1184\n1 1185\n1 1186\n1 1187\n1 1188\n1 1189\n1 1190\n1 1191\n1 1192\n1 1193\n1 1194\n1 1195\n1 1196\n1 1197\n1 1198\n1 1199\n1 1200\n1 1201\n1 1202\n1 1203\n1 1204\n1 1205\n1 1206\n1 1207\n1 1208\n1 1209\n1 1210\n1 1211\n1 1212\n1 1213\n1 1214\n1 1215\n1 1216\n1 1217\n1 1218\n1 1219\n1 1220\n1 1221\n1 1222\n1 1223\n1 1224\n1 1225\n1 1226\n1 1227\n1 1228\n1 1229\n1 1230\n1 1231\n1 1232\n1 1233\n1 1234\n1 1235\n1 1236\n1 1237\n1 1238\n1 1239\n1 1240\n1 1241\n1 1242\n1 1243\n1 1244\n1 1245\n1 1246\n1 1247\n1 1248\n1 1249\n1 1250\n1 1251\n1 1252\n1 1253\n1 1254\n1 1255\n1 1256\n1 1257\n1 1258\n1 1259\n1 1260\n1 1261\n1 1262\n1 1263\n1 1264\n1 1265\n1 1266\n1 1267\n1 1268\n1 1269\n1 1270\n1 1271\n1 1272\n1 1273\n1 1274\n1 1275\n1 1276\n1 1277\n1 1278\n1 1279\n1 1280\n1 1281\n1 1282\n1 1283\n1 1284\n1 1285\n1 1286\n1 1287\n1 1288\n1 1289\n1 1290\n1 1291\n1 1292\n1 1293\n1 1294\n1 1295\n1 1296\n1 1297\n1 1298\n1 1299\n1 1300\n1 1301\n1 1302\n1 1303\n1 1304\n1 1305\n1 1306\n1 1307\n1 1308\n1 1309\n1 1310\n1 1311\n1 1312\n1 1313\n1 1314\n1 1315\n1 1316\n1 1317\n1 1318\n1 1319\n1 1320\n1 1321\n1 1322\n1 1323\n1 1324\n1 1325\n1 1326\n1 1327\n1 1328\n1 1329\n1 1330\n1 1331\n1 1332\n1 1333\n1 1334\n1 1335\n1 1336\n1 1337\n1 1338\n1 1339\n1 1340\n1 1341\n1 1342\n1 1343\n1 1344\n1 1345\n1 1346\n1 1347\n1 1348\n1 1349\n1 1350\n1 1351\n1 1352\n1 1353\n1 1354\n1 1355\n1 1356\n1 1357\n1 1358\n1 1359\n1 1360\n1 1361\n1 1362\n1 1363\n1 1364\n1 1365\n1 1366\n1 1367\n1 1368\n1 1369\n1 1370\n1 1371\n1 1372\n1 1373\n1 1374\n1 1375\n1 1376\n1 1377\n1 1378\n1 1379\n1 1380\n1 1381\n1 1382\n1 1383\n1 1384\n1 1385\n1 1386\n1 1387\n1 1388\n1 1389\n1 1390\n1 1391\n1 1392\n1 1393\n1 1394\n1 1395\n1 1396\n1 1397\n1 1398\n1 1399\n1 1400\n1 1401\n1 1402\n1 1403\n1 1404\n1 1405\n1 1406\n1 1407\n1 1408\n1 1409\n1 1410\n1 1411\n1 1412\n1 1413\n1 1414\n1 1415\n1 1416\n1 1417\n1 1418\n1 1419\n1 1420\n1 1421\n1 1422\n1 1423\n1 1424\n1 1425\n1 1426\n1 1427\n1 1428\n1 1429\n1 1430\n1 1431\n1 1432\n1 1433\n1 1434\n1 1435\n1 1436\n1 1437\n1 1438\n1 1439\n1 1440\n1 1441\n1 1442\n1 1443\n1 1444\n1 1445\n1 1446\n1 1447\n1 1448\n1 1449\n1 1450\n1 1451\n1 1452\n1 1453\n1 1454\n1 1455\n1 1456\n1 1457\n1 1458\n1 1459\n1 1460\n1 1461\n1 1462\n1 1463\n1 1464\n1 1465\n1 1466\n1 1467\n1 1468\n1 1469\n1 1470\n1 1471\n1 1472\n1 1473\n1 1474\n1 1475\n1 1476\n1 1477\n1 1478\n1 1479\n1 1480\n1 1481\n1 1482\n1 1483\n1 1484\n1 1485\n1 1486\n1 1487\n1 1488\n1 1489\n1 1490\n1 1491\n1 1492\n1 1493\n1 1494\n1 1495\n1 1496\n1 1497\n1 1498\n1 1499\n1 1500\n1 1501\n1 1502\n1 1503\n1 1504\n1 1505\n1 1506\n1 1507\n1 1508\n1 1509\n1 1510\n1 1511\n1 1512\n1 1513\n1 1514\n1 1515\n1 1516\n1 1517\n1 1518\n1 1519\n1 1520\n1 1521\n1 1522\n1 1523\n1 1524\n1 1525\n1 1526\n1 1527\n1 1528\n1 1529\n1 1530\n1 1531\n1 1532\n1 1533\n1 1534\n1 1535\n1 1536\n1 1537\n1 1538\n1 1539\n1 1540\n1 1541\n1 1542\n1 1543\n1 1544\n1 1545\n1 1546\n1 1547\n1 1548\n1 1549\n1 1550\n1 1551\n1 1552\n1 1553\n1 1554\n1 1555\n1 1556\n1 1557\n1 1558\n1 1559\n1 1560\n1 1561\n1 1562\n1 1563\n1 1564\n1 1565\n1 1566\n1 1567\n1 1568\n1 1569\n1 1570\n1 1571\n1 1572\n1 1573\n1 1574\n1 1575\n1 1576\n1 1577\n1 1578\n1 1579\n1 1580\n1 1581\n1 1582\n1 1583\n1 1584\n1 1585\n1 1586\n1 1587\n1 1588\n1 1589\n1 1590\n1 1591\n1 1592\n1 1593\n1 1594\n1 1595\n1 1596\n1 1597\n1 1598\n1 1599\n1 1600\n1 1601\n1 1602\n1 1603\n1 1604\n1 1605\n1 1606\n1 1607\n1 1608\n1 1609\n1 1610\n1 1611\n1 1612\n1 1613\n1 1614\n1 1615\n1 1616\n1 1617\n1 1618\n1 1619\n1 1620\n1 1621\n1 1622\n1 1623\n1 1624\n1 1625\n1 1626\n1 1627\n1 1628\n1 1629\n1 1630\n1 1631\n1 1632\n1 1633\n1 1634\n1 1635\n1 1636\n1 1637\n1 1638\n1 1639\n1 1640\n1 1641\n1 1642\n1 1643\n1 1644\n1 1645\n1 1646\n1 1647\n1 1648\n1 1649\n1 1650\n1 1651\n1 1652\n1 1653\n1 1654\n1 1655\n1 1656\n1 1657\n1 1658\n1 1659\n1 1660\n1 1661\n1 1662\n1 1663\n1 1664\n1 1665\n1 1666\n1 1667\n1 1668\n1 1669\n1 1670\n1 1671\n1 1672\n1 1673\n1 1674\n1 1675\n1 1676\n1 1677\n1 1678\n1 1679\n1 1680\n1 1681\n1 1682\n1 1683\n1 1684\n1 1685\n1 1686\n1 1687\n1 1688\n1 1689\n1 1690\n1 1691\n1 1692\n1 1693\n1 1694\n1 1695\n1 1696\n1 1697\n1 1698\n1 1699\n1 1700\n1 1701\n1 1702\n1 1703\n1 1704\n1 1705\n1 1706\n1 1707\n1 1708\n1 1709\n1 1710\n1 1711\n1 1712\n1 1713\n1 1714\n1 1715\n1 1716\n1 1717\n1 1718\n1 1719\n1 1720\n1 1721\n1 1722\n1 1723\n1 1724\n1 1725\n1 1726\n1 1727\n1 1728\n1 1729\n1 1730\n1 1731\n1 1732\n1 1733\n1 1734\n1 1735\n1 1736\n1 1737\n1 1738\n1 1739\n1 1740\n1 1741\n1 1742\n1 1743\n1 1744\n1 1745\n1 1746\n1 1747\n1 1748\n1 1749\n1 1750\n1 1751\n1 1752\n1 1753\n1 1754\n1 1755\n1 1756\n1 1757\n1 1758\n1 1759\n1 1760\n1 1761\n1 1762\n1 1763\n1 1764\n1 1765\n1 1766\n1 1767\n1 1768\n1 1769\n1 1770\n1 1771\n1 1772\n1 1773\n1 1774\n1 1775\n1 1776\n1 1777\n1 1778\n1 1779\n1 1780\n1 1781\n1 1782\n1 1783\n1 1784\n1 1785\n1 1786\n1 1787\n1 1788\n1 1789\n1 1790\n1 1791\n1 1792\n1 1793\n1 1794\n1 1795\n1 1796\n1 1797\n1 1798\n1 1799\n1 1800\n1 1801\n1 1802\n1 1803\n1 1804\n1 1805\n1 1806\n1 1807\n1 1808\n1 1809\n1 1810\n1 1811\n1 1812\n1 1813\n1 1814\n1 1815\n1 1816\n1 1817\n1 1818\n1 1819\n1 1820\n1 1821\n1 1822\n1 1823\n1 1824\n1 1825\n1 1826\n1 1827\n1 1828\n1 1829\n1 1830\n1 1831\n1 1832\n1 1833\n1 1834\n1 1835\n1 1836\n1 1837\n1 1838\n1 1839\n1 1840\n1 1841\n1 1842\n1 1843\n1 1844\n1 1845\n1 1846\n1 1847\n1 1848\n1 1849\n1 1850\n1 1851\n1 1852\n1 1853\n1 1854\n1 1855\n1 1856\n1 1857\n1 1858\n1 1859\n1 1860\n1 1861\n1 1862\n1 1863\n1 1864\n1 1865\n1 1866\n1 1867\n1 1868\n1 1869\n1 1870\n1 1871\n1 1872\n1 1873\n1 1874\n1 1875\n1 1876\n1 1877\n1 1878\n1 1879\n1 1880\n1 1881\n1 1882\n1 1883\n1 1884\n1 1885\n1 1886\n1 1887\n1 1888\n1 1889\n1 1890\n1 1891\n1 1892\n1 1893\n1 1894\n1 1895\n1 1896\n1 1897\n1 1898\n1 1899\n1 1900\n1 1901\n1 1902\n1 1903\n1 1904\n1 1905\n1 1906\n1 1907\n1 1908\n1 1909\n1 1910\n1 1911\n1 1912\n1 1913\n1 1914\n1 1915\n1 1916\n1 1917\n1 1918\n1 1919\n1 1920\n1 1921\n1 1922\n1 1923\n1 1924\n1 1925\n1 1926\n1 1927\n1 1928\n1 1929\n1 1930\n1 1931\n1 1932\n1 1933\n1 1934\n1 1935\n1 1936\n1 1937\n1 1938\n1 1939\n1 1940\n1 1941\n1 1942\n1 1943\n1 1944\n1 1945\n1 1946\n1 1947\n1 1948\n1 1949\n1 1950\n1 1951\n1 1952\n1 1953\n1 1954\n1 1955\n1 1956\n1 1957\n1 1958\n1 1959\n1 1960\n1 1961\n1 1962\n1 1963\n1 1964\n1 1965\n1 1966\n1 1967\n1 1968\n1 1969\n1 1970\n1 1971\n1 1972\n1 1973\n1 1974\n1 1975\n1 1976\n1 1977\n1 1978\n1 1979\n1 1980\n1 1981\n1 1982\n1 1983\n1 1984\n1 1985\n1 1986\n1 1987\n1 1988\n1 1989\n1 1990\n1 1991\n1 1992\n1 1993\n1 1994\n1 1995\n1 1996\n1 1997\n1 1998\n1 1999\n1 2000\n1 2001\n1 2002\n1 2003\n1 2004\n1 2005\n1 2006\n1 2007\n1 2008\n1 2009\n1 2010\n1 2011\n1 2012\n1 2013\n1 2014\n1 2015\n1 2016\n1 2017\n1 2018\n1 2019\n1 2020\n1 2021\n1 2022\n1 2023\n1 2024\n1 2025\n1 2026\n1 2027\n1 2028\n1 2029\n1 2030\n1 2031\n1 2032\n1 2033\n1 2034\n1 2035\n1 2036\n1 2037\n1 2038\n1 2039\n1 2040\n1 2041\n1 2042\n1 2043\n1 2044\n1 2045\n1 2046\n1 2047\n1 2048\n1 2049\n1 2050\n1 2051\n1 2052\n1 2053\n1 2054\n1 2055\n1 2056\n1 2057\n1 2058\n1 2059\n1 2060\n1 2061\n1 2062\n1 2063\n1 2064\n1 2065\n1 2066\n1 2067\n1 2068\n1 2069\n1 2070\n1 2071\n1 2072\n1 2073\n1 2074\n1 2075\n1 2076\n1 2077\n1 2078\n1 2079\n1 2080\n1 2081\n1 2082\n1 2083\n1 2084\n1 2085\n1 2086\n1 2087\n1 2088\n1 2089\n1 2090\n1 2091\n1 2092\n1 2093\n1 2094\n1 2095\n1 2096\n1 2097\n1 2098\n1 2099\n1 2100\n1 2101\n1 2102\n1 2103\n1 2104\n1 2105\n1 2106\n1 2107\n1 2108\n1 2109\n1 2110\n1 2111\n1 2112\n1 2113\n1 2114\n1 2115\n1 2116\n1 2117\n1 2118\n1 2119\n1 2120\n1 2121\n1 2122\n1 2123\n1 2124\n1 2125\n1 2126\n1 2127\n1 2128\n1 2129\n1 2130\n1 2131\n1 2132\n1 2133\n1 2134\n1 2135\n1 2136\n1 2137\n1 2138\n1 2139\n1 2140\n1 2141\n1 2142\n1 2143\n1 2144\n1 2145\n1 2146\n1 2147\n1 2148\n1 2149\n1 2150\n1 2151\n1 2152\n1 2153\n1 2154\n1 2155\n1 2156\n1 2157\n1 2158\n1 2159\n1 2160\n1 2161\n1 2162\n1 2163\n1 2164\n1 2165\n1 2166\n1 2167\n1 2168\n1 2169\n1 2170\n1 2171\n1 2172\n1 2173\n1 2174\n1 2175\n1 2176\n1 2177\n1 2178\n1 2179\n1 2180\n1 2181\n1 2182\n1 2183\n1 2184\n1 2185\n1 2186\n1 2187\n1 2188\n1 2189\n1 2190\n1 2191\n1 2192\n1 2193\n1 2194\n1 2195\n1 2196\n1 2197\n1 2198\n1 2199\n1 2200\n1 2201\n1 2202\n1 2203\n1 2204\n1 2205\n1 2206\n1 2207\n1 2208\n1 2209\n1 2210\n1 2211\n1 2212\n1 2213\n1 2214\n1 2215\n1 2216\n1 2217\n1 2218\n1 2219\n1 2220\n1 2221\n1 2222\n1 2223\n1 2224\n1 2225\n1 2226\n1 2227\n1 2228\n1 2229\n1 2230\n1 2231\n1 2232\n1 2233\n1 2234\n1 2235\n1 2236\n1 2237\n1 2238\n1 2239\n1 2240\n1 2241\n1 2242\n1 2243\n1 2244\n1 2245\n1 2246\n1 2247\n1 2248\n1 2249\n1 2250\n1 2251\n1 2252\n1 2253\n1 2254\n1 2255\n1 2256\n1 2257\n1 2258\n1 2259\n1 2260\n1 2261\n1 2262\n1 2263\n1 2264\n1 2265\n1 2266\n1 2267\n1 2268\n1 2269\n1 2270\n1 2271\n1 2272\n1 2273\n1 2274\n1 2275\n1 2276\n1 2277\n1 2278\n1 2279\n1 2280\n1 2281\n1 2282\n1 2283\n1 2284\n1 2285\n1 2286\n1 2287\n1 2288\n1 2289\n1 2290\n1 2291\n1 2292\n1 2293\n1 2294\n1 2295\n1 2296\n1 2297\n1 2298\n1 2299\n1 2300\n1 2301\n1 2302\n1 2303\n1 2304\n1 2305\n1 2306\n1 2307\n1 2308\n1 2309\n1 2310\n1 2311\n1 2312\n1 2313\n1 2314\n1 2315\n1 2316\n1 2317\n1 2318\n1 2319\n1 2320\n1 2321\n1 2322\n1 2323\n1 2324\n1 2325\n1 2326\n1 2327\n1 2328\n1 2329\n1 2330\n1 2331\n1 2332\n1 2333\n1 2334\n1 2335\n1 2336\n1 2337\n1 2338\n1 2339\n1 2340\n1 2341\n1 2342\n1 2343\n1 2344\n1 2345\n1 2346\n1 2347\n1 2348\n1 2349\n1 2350\n1 2351\n1 2352\n1 2353\n1 2354\n1 2355\n1 2356\n1 2357\n1 2358\n1 2359\n1 2360\n1 2361\n1 2362\n1 2363\n1 2364\n1 2365\n1 2366\n1 2367\n1 2368\n1 2369\n1 2370\n1 2371\n1 2372\n1 2373\n1 2374\n1 2375\n1 2376\n1 2377\n1 2378\n1 2379\n1 2380\n1 2381\n1 2382\n1 2383\n1 2384\n1 2385\n1 2386\n1 2387\n1 2388\n1 2389\n1 2390\n1 2391\n1 2392\n1 2393\n1 2394\n1 2395\n1 2396\n1 2397\n1 2398\n1 2399\n1 2400\n1 2401\n1 2402\n1 2403\n1 2404\n1 2405\n1 2406\n1 2407\n1 2408\n1 2409\n1 2410\n1 2411\n1 2412\n1 2413\n1 2414\n1 2415\n1 2416\n1 2417\n1 2418\n1 2419\n1 2420\n1 2421\n1 2422\n1 2423\n1 2424\n1 2425\n1 2426\n1 2427\n1 2428\n1 2429\n1 2430\n1 2431\n1 2432\n1 2433\n1 2434\n1 2435\n1 2436\n1 2437\n1 2438\n1 2439\n1 2440\n1 2441\n1 2442\n1 2443\n1 2444\n1 2445\n1 2446\n1 2447\n1 2448\n1 2449\n1 2450\n1 2451\n1 2452\n1 2453\n1 2454\n1 2455\n1 2456\n1 2457\n1 2458\n1 2459\n1 2460\n1 2461\n1 2462\n1 2463\n1 2464\n1 2465\n1 2466\n1 2467\n1 2468\n1 2469\n1 2470\n1 2471\n1 2472\n1 2473\n1 2474\n1 2475\n1 2476\n1 2477\n1 2478\n1 2479\n1 2480\n1 2481\n1 2482\n1 2483\n1 2484\n1 2485\n1 2486\n1 2487\n1 2488\n1 2489\n1 2490\n1 2491\n1 2492\n1 2493\n1 2494\n1 2495\n1 2496\n1 2497\n1 2498\n1 2499\n1 2500\n1 2501\n1 2502\n1 2503\n1 2504\n1 2505\n1 2506\n1 2507\n1 2508\n1 2509\n1 2510\n1 2511\n1 2512\n1 2513\n1 2514\n1 2515\n1 2516\n1 2517\n1 2518\n1 2519\n1 2520\n1 2521\n1 2522\n1 2523\n1 2524\n1 2525\n1 2526\n1 2527\n1 2528\n1 2529\n1 2530\n1 2531\n1 2532\n1 2533\n1 2534\n1 2535\n1 2536\n1 2537\n1 2538\n1 2539\n1 2540\n1 2541\n1 2542\n1 2543\n1 2544\n1 2545\n1 2546\n1 2547\n1 2548\n1 2549\n1 2550\n1 2551\n1 2552\n1 2553\n1 2554\n1 2555\n1 2556\n1 2557\n1 2558\n1 2559\n1 2560\n1 2561\n1 2562\n1 2563\n1 2564\n1 2565\n1 2566\n1 2567\n1 2568\n1 2569\n1 2570\n1 2571\n1 2572\n1 2573\n1 2574\n1 2575\n1 2576\n1 2577\n1 2578\n1 2579\n1 2580\n1 2581\n1 2582\n1 2583\n1 2584\n1 2585\n1 2586\n1 2587\n1 2588\n1 2589\n1 2590\n1 2591\n1 2592\n1 2593\n1 2594\n1 2595\n1 2596\n1 2597\n1 2598\n1 2599\n1 2600\n1 2601\n1 2602\n1 2603\n1 2604\n1 2605\n1 2606\n1 2607\n1 2608\n1 2609\n1 2610\n1 2611\n1 2612\n1 2613\n1 2614\n1 2615\n1 2616\n1 2617\n1 2618\n1 2619\n1 2620\n1 2621\n1 2622\n1 2623\n1 2624\n1 2625\n1 2626\n1 2627\n1 2628\n1 2629\n1 2630\n1 2631\n1 2632\n1 2633\n1 2634\n1 2635\n1 2636\n1 2637\n1 2638\n1 2639\n1 2640\n1 2641\n1 2642\n1 2643\n1 2644\n1 2645\n1 2646\n1 2647\n1 2648\n1 2649\n1 2650\n1 2651\n1 2652\n1 2653\n1 2654\n1 2655\n1 2656\n1 2657\n1 2658\n1 2659\n1 2660\n1 2661\n1 2662\n1 2663\n1 2664\n1 2665\n1 2666\n1 2667\n1 2668\n1 2669\n1 2670\n1 2671\n1 2672\n1 2673\n1 2674\n1 2675\n1 2676\n1 2677\n1 2678\n1 2679\n1 2680\n1 2681\n1 2682\n1 2683\n1 2684\n1 2685\n1 2686\n1 2687\n1 2688\n1 2689\n1 2690\n1 2691\n1 2692\n1 2693\n1 2694\n1 2695\n1 2696\n1 2697\n1 2698\n1 2699\n1 2700\n1 2701\n1 2702\n1 2703\n1 2704\n1 2705\n1 2706\n1 2707\n1 2708\n1 2709\n1 2710\n1 2711\n1 2712\n1 2713\n1 2714\n1 2715\n1 2716\n1 2717\n1 2718\n1 2719\n1 2720\n1 2721\n1 2722\n1 2723\n1 2724\n1 2725\n1 2726\n1 2727\n1 2728\n1 2729\n1 2730\n1 2731\n1 2732\n1 2733\n1 2734\n1 2735\n1 2736\n1 2737\n1 2738\n1 2739\n1 2740\n1 2741\n1 2742\n1 2743\n1 2744\n1 2745\n1 2746\n1 2747\n1 2748\n1 2749\n1 2750\n1 2751\n1 2752\n1 2753\n1 2754\n1 2755\n1 2756\n1 2757\n1 2758\n1 2759\n1 2760\n1 2761\n1 2762\n1 2763\n1 2764\n1 2765\n1 2766\n1 2767\n1 2768\n1 2769\n1 2770\n1 2771\n1 2772\n1 2773\n1 2774\n1 2775\n1 2776\n1 2777\n1 2778\n1 2779\n1 2780\n1 2781\n1 2782\n1 2783\n1 2784\n1 2785\n1 2786\n1 2787\n1 2788\n1 2789\n1 2790\n1 2791\n1 2792\n1 2793\n1 2794\n1 2795\n1 2796\n1 2797\n1 2798\n1 2799\n1 2800\n1 2801\n1 2802\n1 2803\n1 2804\n1 2805\n1 2806\n1 2807\n1 2808\n1 2809\n1 2810\n1 2811\n1 2812\n1 2813\n1 2814\n1 2815\n1 2816\n1 2817\n1 2818\n1 2819\n1 2820\n1 2821\n1 2822\n1 2823\n1 2824\n1 2825\n1 2826\n1 2827\n1 2828\n1 2829\n1 2830\n1 2831\n1 2832\n1 2833\n1 2834\n1 2835\n1 2836\n1 2837\n1 2838\n1 2839\n1 2840\n1 2841\n1 2842\n1 2843\n1 2844\n1 2845\n1 2846\n1 2847\n1 2848\n1 2849\n1 2850\n1 2851\n1 2852\n1 2853\n1 2854\n1 2855\n1 2856\n1 2857\n1 2858\n1 2859\n1 2860\n1 2861\n1 2862\n1 2863\n1 2864\n1 2865\n1 2866\n1 2867\n1 2868\n1 2869\n1 2870\n1 2871\n1 2872\n1 2873\n1 2874\n1 2875\n1 2876\n1 2877\n1 2878\n1 2879\n1 2880\n1 2881\n1 2882\n1 2883\n1 2884\n1 2885\n1 2886\n1 2887\n1 2888\n1 2889\n1 2890\n1 2891\n1 2892\n1 2893\n1 2894\n1 2895\n1 2896\n1 2897\n1 2898\n1 2899\n1 2900\n1 2901\n1 2902\n1 2903\n1 2904\n1 2905\n1 2906\n1 2907\n1 2908\n1 2909\n1 2910\n1 2911\n1 2912\n1 2913\n1 2914\n1 2915\n1 2916\n1 2917\n1 2918\n1 2919\n1 2920\n1 2921\n1 2922\n1 2923\n1 2924\n1 2925\n1 2926\n1 2927\n1 2928\n1 2929\n1 2930\n1 2931\n1 2932\n1 2933\n1 2934\n1 2935\n1 2936\n1 2937\n1 2938\n1 2939\n1 2940\n1 2941\n1 2942\n1 2943\n1 2944\n1 2945\n1 2946\n1 2947\n1 2948\n1 2949\n1 2950\n1 2951\n1 2952\n1 2953\n1 2954\n1 2955\n1 2956\n1 2957\n1 2958\n1 2959\n1 2960\n1 2961\n1 2962\n1 2963\n1 2964\n1 2965\n1 2966\n1 2967\n1 2968\n1 2969\n1 2970\n1 2971\n1 2972\n1 2973\n1 2974\n1 2975\n1 2976\n1 2977\n1 2978\n1 2979\n1 2980\n1 2981\n1 2982\n1 2983\n1 2984\n1 2985\n1 2986\n1 2987\n1 2988\n1 2989\n1 2990\n1 2991\n1 2992\n1 2993\n1 2994\n1 2995\n1 2996\n1 2997\n1 2998\n1 2999\n1 3000\n1 3001\n1 3002\n1 3003\n1 3004\n1 3005\n1 3006\n1 3007\n1 3008\n1 3009\n1 3010\n1 3011\n1 3012\n1 3013\n1 3014\n1 3015\n1 3016\n1 3017\n1 3018\n1 3019\n1 3020\n1 3021\n1 3022\n1 3023\n1 3024\n1 3025\n1 3026\n1 3027\n1 3028\n1 3029\n1 3030\n1 3031\n1 3032\n1 3033\n1 3034\n1 3035\n1 3036\n1 3037\n1 3038\n1 3039\n1 3040\n1 3041\n1 3042\n1 3043\n1 3044\n1 3045\n1 3046\n1 3047\n1 3048\n1 3049\n1 3050\n1 3051\n1 3052\n1 3053\n1 3054\n1 3055\n1 3056\n1 3057\n1 3058\n1 3059\n1 3060\n1 3061\n1 3062\n1 3063\n1 3064\n1 3065\n1 3066\n1 3067\n1 3068\n1 3069\n1 3070\n1 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9946\n1 9947\n1 9948\n1 9949\n1 9950\n1 9951\n1 9952\n1 9953\n1 9954\n1 9955\n1 9956\n1 9957\n1 9958\n1 9959\n1 9960\n1 9961\n1 9962\n1 9963\n1 9964\n1 9965\n1 9966\n1 9967\n1 9968\n1 9969\n1 9970\n1 9971\n1 9972\n1 9973\n1 9974\n1 9975\n1 9976\n1 9977\n1 9978\n1 9979\n1 9980\n1 9981\n1 9982\n1 9983\n1 9984\n1 9985\n1 9986\n1 9987\n1 9988\n1 9989\n1 9990\n1 9991\n1 9992\n1 9993\n1 9994\n1 9995\n1 9996\n1 9997\n1 9998\n1 9999\n1 10000\n1 10001\n1 10002\n1 10003\n1 10004\n1 10005\n1 10006\n1 10007\n1 10008\n1 10009\n1 10010\n1 10011\n1 10012\n1 10013\n1 10014\n1 10015\n1 10016\n1 10017\n1 10018\n1 10019\n1 10020\n1 10021\n1 10022\n1 10023\n1 10024\n1 10025\n1 10026\n1 10027\n1 10028\n1 10029\n1 10030\n1 10031\n1 10032\n1 10033\n1 10034\n1 10035\n1 10036\n1 10037\n1 10038\n1 10039\n1 10040\n1 10041\n1 10042\n1 10043\n1 10044\n1 10045\n1 10046\n1 10047\n1 10048\n1 10049\n1 10050\n1 10051\n1 10052\n1 10053\n1 10054\n1 10055\n1 10056\n1 10057\n1 10058\n1 10059\n1 10060\n1 10061\n1 10062\n1 10063\n1 10064\n1 10065\n1 10066\n1 10067\n1 10068\n1 10069\n1 10070\n1 10071\n1 10072\n1 10073\n1 10074\n1 10075\n1 10076\n1 10077\n1 10078\n1 10079\n1 10080\n1 10081\n1 10082\n1 10083\n1 10084\n1 10085\n1 10086\n1 10087\n1 10088\n1 10089\n1 10090\n1 10091\n1 10092\n1 10093\n1 10094\n1 10095\n1 10096\n1 10097\n1 10098\n1 10099\n1 10100\n1 10101\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n1 11\n1 12\n1 13\n1 14\n1 15\n1 16\n1 17\n1 18\n1 19\n1 20\n1 21\n1 22\n1 23\n1 24\n1 25\n1 26\n1 27\n1 28\n1 29\n1 30\n1 31\n1 32\n1 33\n1 34\n1 35\n1 36\n1 37\n1 38\n1 39\n1 40\n1 41\n1 42\n1 43\n1 44\n1 45\n1 46\n1 47\n1 48\n1 49\n1 50\n1 51\n1 52\n1 53\n1 54\n1 55\n1 56\n1 57\n1 58\n1 59\n1 60\n1 61\n1 62\n1 63\n1 64\n1 65\n1 66\n1 67\n1 68\n1 69\n1 70\n1 71\n1 72\n1 73\n1 74\n1 75\n1 76\n1 77\n1 78\n1 79\n1 80\n1 81\n1 82\n1 83\n1 84\n1 85\n1 86\n1 87\n1 88\n1 89\n1 90\n1 91\n1 92\n1 93\n1 94\n1 95\n1 96\n1 97\n1 98\n1 99\n1 100\n1 101\n1 102\n1 103\n1 104\n1 105\n1 106\n1 107\n1 108\n1 109\n1 110\n1 111\n1 112\n1 113\n1 114\n1 115\n1 116\n1 117\n1 118\n1 119\n1 120\n1 121\n1 122\n1 123\n1 124\n1 125\n1 126\n1 127\n1 128\n1 129\n1 130\n1 131\n1 132\n1 133\n1 134\n1 135\n1 136\n1 137\n1 138\n1 139\n1 140\n1 141\n1 142\n1 143\n1 144\n1 145\n1 146\n1 147\n1 148\n1 149\n1 150\n1 151\n1 152\n1 153\n1 154\n1 155\n1 156\n1 157\n1 158\n1 159\n1 160\n1 161\n1 162\n1 163\n1 164\n1 165\n1 166\n1 167\n1 168\n1 169\n1 170\n1 171\n1 172\n1 173\n1 174\n1 175\n1 176\n1 177\n1 178\n1 179\n1 180\n1 181\n1 182\n1 183\n1 184\n1 185\n1 186\n1 187\n1 188\n1 189\n1 190\n1 191\n1 192\n1 193\n1 194\n1 195\n1 196\n1 197\n1 198\n1 199\n1 200\n1 201\n1 202\n1 203\n1 204\n1 205\n1 206\n1 207\n1 208\n1 209\n1 210\n1 211\n1 212\n1 213\n1 214\n1 215\n1 216\n1 217\n1 218\n1 219\n1 220\n1 221\n1 222\n1 223\n1 224\n1 225\n1 226\n1 227\n1 228\n1 229\n1 230\n1 231\n1 232\n1 233\n1 234\n1 235\n1 236\n1 237\n1 238\n1 239\n1 240\n1 241\n1 242\n1 243\n1 244\n1 245\n1 246\n1 247\n1 248\n1 249\n1 250\n1 251\n1 252\n1 253\n1 254\n1 255\n1 256\n1 257\n1 258\n1 259\n1 260\n1 261\n1 262\n1 263\n1 264\n1 265\n1 266\n1 267\n1 268\n1 269\n1 270\n1 271\n1 272\n1 273\n1 274\n1 275\n1 276\n1 277\n1 278\n1 279\n1 280\n1 281\n1 282\n1 283\n1 284\n1 285\n1 286\n1 287\n1 288\n1 289\n1 290\n1 291\n1 292\n1 293\n1 294\n1 295\n1 296\n1 297\n1 298\n1 299\n1 300\n1 301\n1 302\n1 303\n1 304\n1 305\n1 306\n1 307\n1 308\n1 309\n1 310\n1 311\n1 312\n1 313\n1 314\n1 315\n1 316\n1 317\n1 318\n1 319\n1 320\n1 321\n1 322\n1 323\n1 324\n1 325\n1 326\n1 327\n1 328\n1 329\n1 330\n1 331\n1 332\n1 333\n1 334\n1 335\n1 336\n1 337\n1 338\n1 339\n1 340\n1 341\n1 342\n1 343\n1 344\n1 345\n1 346\n1 347\n1 348\n1 349\n1 350\n1 351\n1 352\n1 353\n1 354\n1 355\n1 356\n1 357\n1 358\n1 359\n1 360\n1 361\n1 362\n1 363\n1 364\n1 365\n1 366\n1 367\n1 368\n1 369\n1 370\n1 371\n1 372\n1 373\n1 374\n1 375\n1 376\n1 377\n1 378\n1 379\n1 380\n1 381\n1 382\n1 383\n1 384\n1 385\n1 386\n1 387\n1 388\n1 389\n1 390\n1 391\n1 392\n1 393\n1 394\n1 395\n1 396\n1 397\n1 398\n1 399\n1 400\n1 401\n1 402\n1 403\n1 404\n1 405\n1 406\n1 407\n1 408\n1 409\n1 410\n1 411\n1 412\n1 413\n1 414\n1 415\n1 416\n1 417\n1 418\n1 419\n1 420\n1 421\n1 422\n1 423\n1 424\n1 425\n1 426\n1 427\n1 428\n1 429\n1 430\n1 431\n1 432\n1 433\n1 434\n1 435\n1 436\n1 437\n1 438\n1 439\n1 440\n1 441\n1 442\n1 443\n1 444\n1 445\n1 446\n1 447\n1 448\n1 449\n1 450\n1 451\n1 452\n1 453\n1 454\n1 455\n1 456\n1 457\n1 458\n1 459\n1 460\n1 461\n1 462\n1 463\n1 464\n1 465\n1 466\n1 467\n1 468\n1 469\n1 470\n1 471\n1 472\n1 473\n1 474\n1 475\n1 476\n1 477\n1 478\n1 479\n1 480\n1 481\n1 482\n1 483\n1 484\n1 485\n1 486\n1 487\n1 488\n1 489\n1 490\n1 491\n1 492\n1 493\n1 494\n1 495\n1 496\n1 497\n1 498\n1 499\n1 500\n1 501\n1 502\n1 503\n1 504\n1 505\n1 506\n1 507\n1 508\n1 509\n1 510\n1 511\n1 512\n1 513\n1 514\n1 515\n1 516\n1 517\n1 518\n1 519\n1 520\n1 521\n1 522\n1 523\n1 524\n1 525\n1 526\n1 527\n1 528\n1 529\n1 530\n1 531\n1 532\n1 533\n1 534\n1 535\n1 536\n1 537\n1 538\n1 539\n1 540\n1 541\n1 542\n1 543\n1 544\n1 545\n1 546\n1 547\n1 548\n1 549\n1 550\n1 551\n1 552\n1 553\n1 554\n1 555\n1 556\n1 557\n1 558\n1 559\n1 560\n1 561\n1 562\n1 563\n1 564\n1 565\n1 566\n1 567\n1 568\n1 569\n1 570\n1 571\n1 572\n1 573\n1 574\n1 575\n1 576\n1 577\n1 578\n1 579\n1 580\n1 581\n1 582\n1 583\n1 584\n1 585\n1 586\n1 587\n1 588\n1 589\n1 590\n1 591\n1 592\n1 593\n1 594\n1 595\n1 596\n1 597\n1 598\n1 599\n1 600\n1 601\n1 602\n1 603\n1 604\n1 605\n1 606\n1 607\n1 608\n1 609\n1 610\n1 611\n1 612\n1 613\n1 614\n1 615\n1 616\n1 617\n1 618\n1 619\n1 620\n1 621\n1 622\n1 623\n1 624\n1 625\n1 626\n1 627\n1 628\n1 629\n1 630\n1 631\n1 632\n1 633\n1 634\n1 635\n1 636\n1 637\n1 638\n1 639\n1 640\n1 641\n1 642\n1 643\n1 644\n1 645\n1 646\n1 647\n1 648\n1 649\n1 650\n1 651\n1 652\n1 653\n1 654\n1 655\n1 656\n1 657\n1 658\n1 659\n1 660\n1 661\n1 662\n1 663\n1 664\n1 665\n1 666\n1 667\n1 668\n1 669\n1 670\n1 671\n1 672\n1 673\n1 674\n1 675\n1 676\n1 677\n1 678\n1 679\n1 680\n1 681\n1 682\n1 683\n1 684\n1 685\n1 686\n1 687\n1 688\n1 689\n1 690\n1 691\n1 692\n1 693\n1 694\n1 695\n1 696\n1 697\n1 698\n1 699\n1 700\n1 701\n1 702\n1 703\n1 704\n1 705\n1 706\n1 707\n1 708\n1 709\n1 710\n1 711\n1 712\n1 713\n1 714\n1 715\n1 716\n1 717\n1 718\n1 719\n1 720\n1 721\n1 722\n1 723\n1 724\n1 725\n1 726\n1 727\n1 728\n1 729\n1 730\n1 731\n1 732\n1 733\n1 734\n1 735\n1 736\n1 737\n1 738\n1 739\n1 740\n1 741\n1 742\n1 743\n1 744\n1 745\n1 746\n1 747\n1 748\n1 749\n1 750\n1 751\n1 752\n1 753\n1 754\n1 755\n1 756\n1 757\n1 758\n1 759\n1 760\n1 761\n1 762\n1 763\n1 764\n1 765\n1 766\n1 767\n1 768\n1 769\n1 770\n1 771\n1 772\n1 773\n1 774\n1 775\n1 776\n1 777\n1 778\n1 779\n1 780\n1 781\n1 782\n1 783\n1 784\n1 785\n1 786\n1 787\n1 788\n1 789\n1 790\n1 791\n1 792\n1 793\n1 794\n1 795\n1 796\n1 797\n1 798\n1 799\n1 800\n1 801\n1 802\n1 803\n1 804\n1 805\n1 806\n1 807\n1 808\n1 809\n1 810\n1 811\n1 812\n1 813\n1 814\n1 815\n1 816\n1 817\n1 818\n1 819\n1 820\n1 821\n1 822\n1 823\n1 824\n1 825\n1 826\n1 827\n1 828\n1 829\n1 830\n1 831\n1 832\n1 833\n1 834\n1 835\n1 836\n1 837\n1 838\n1 839\n1 840\n1 841\n1 842\n1 843\n1 844\n1 845\n1 846\n1 847\n1 848\n1 849\n1 850\n1 851\n1 852\n1 853\n1 854\n1 855\n1 856\n1 857\n1 858\n1 859\n1 860\n1 861\n1 862\n1 863\n1 864\n1 865\n1 866\n1 867\n1 868\n1 869\n1 870\n1 871\n1 872\n1 873\n1 874\n1 875\n1 876\n1 877\n1 878\n1 879\n1 880\n1 881\n1 882\n1 883\n1 884\n1 885\n1 886\n1 887\n1 888\n1 889\n1 890\n1 891\n1 892\n1 893\n1 894\n1 895\n1 896\n1 897\n1 898\n1 899\n1 900\n1 901\n1 902\n1 903\n1 904\n1 905\n1 906\n1 907\n1 908\n1 909\n1 910\n1 911\n1 912\n1 913\n1 914\n1 915\n1 916\n1 917\n1 918\n1 919\n1 920\n1 921\n1 922\n1 923\n1 924\n1 925\n1 926\n1 927\n1 928\n1 929\n1 930\n1 931\n1 932\n1 933\n1 934\n1 935\n1 936\n1 937\n1 938\n1 939\n1 940\n1 941\n1 942\n1 943\n1 944\n1 945\n1 946\n1 947\n1 948\n1 949\n1 950\n1 951\n1 952\n1 953\n1 954\n1 955\n1 956\n1 957\n1 958\n1 959\n1 960\n1 961\n1 962\n1 963\n1 964\n1 965\n1 966\n1 967\n1 968\n1 969\n1 970\n1 971\n1 972\n1 973\n1 974\n1 975\n1 976\n1 977\n1 978\n1 979\n1 980\n1 981\n1 982\n1 983\n1 984\n1 985\n1 986\n1 987\n1 988\n1 989\n1 990\n1 991\n1 992\n1 993\n1 994\n1 995\n1 996\n1 997\n1 998\n1 999\n1 1000\n1 1001\n1 1002\n1 1003\n1 1004\n1 1005\n1 1006\n1 1007\n1 1008\n1 1009\n1 1010\n1 1011\n1 1012\n1 1013\n1 1014\n1 1015\n1 1016\n1 1017\n1 1018\n1 1019\n1 1020\n1 1021\n1 1022\n1 1023\n1 1024\n1 1025\n1 1026\n1 1027\n1 1028\n1 1029\n1 1030\n1 1031\n1 1032\n1 1033\n1 1034\n1 1035\n1 1036\n1 1037\n1 1038\n1 1039\n1 1040\n1 1041\n1 1042\n1 1043\n1 1044\n1 1045\n1 1046\n1 1047\n1 1048\n1 1049\n1 1050\n1 1051\n1 1052\n1 1053\n1 1054\n1 1055\n1 1056\n1 1057\n1 1058\n1 1059\n1 1060\n1 1061\n1 1062\n1 1063\n1 1064\n1 1065\n1 1066\n1 1067\n1 1068\n1 1069\n1 1070\n1 1071\n1 1072\n1 1073\n1 1074\n1 1075\n1 1076\n1 1077\n1 1078\n1 1079\n1 1080\n1 1081\n1 1082\n1 1083\n1 1084\n1 1085\n1 1086\n1 1087\n1 1088\n1 1089\n1 1090\n1 1091\n1 1092\n1 1093\n1 1094\n1 1095\n1 1096\n1 1097\n1 1098\n1 1099\n1 1100\n1 1101\n1 1102\n1 1103\n1 1104\n1 1105\n1 1106\n1 1107\n1 1108\n1 1109\n1 1110\n1 1111\n1 1112\n1 1113\n1 1114\n1 1115\n1 1116\n1 1117\n1 1118\n1 1119\n1 1120\n1 1121\n1 1122\n1 1123\n1 1124\n1 1125\n1 1126\n1 1127\n1 1128\n1 1129\n1 1130\n1 1131\n1 1132\n1 1133\n1 1134\n1 1135\n1 1136\n1 1137\n1 1138\n1 1139\n1 1140\n1 1141\n1 1142\n1 1143\n1 1144\n1 1145\n1 1146\n1 1147\n1 1148\n1 1149\n1 1150\n1 1151\n1 1152\n1 1153\n1 1154\n1 1155\n1 1156\n1 1157\n1 1158\n1 1159\n1 1160\n1 1161\n1 1162\n1 1163\n1 1164\n1 1165\n1 1166\n1 1167\n1 1168\n1 1169\n1 1170\n1 1171\n1 1172\n1 1173\n1 1174\n1 1175\n1 1176\n1 1177\n1 1178\n1 1179\n1 1180\n1 1181\n1 1182\n1 1183\n1 1184\n1 1185\n1 1186\n1 1187\n1 1188\n1 1189\n1 1190\n1 1191\n1 1192\n1 1193\n1 1194\n1 1195\n1 1196\n1 1197\n1 1198\n1 1199\n1 1200\n1 1201\n1 1202\n1 1203\n1 1204\n1 1205\n1 1206\n1 1207\n1 1208\n1 1209\n1 1210\n1 1211\n1 1212\n1 1213\n1 1214\n1 1215\n1 1216\n1 1217\n1 1218\n1 1219\n1 1220\n1 1221\n1 1222\n1 1223\n1 1224\n1 1225\n1 1226\n1 1227\n1 1228\n1 1229\n1 1230\n1 1231\n1 1232\n1 1233\n1 1234\n1 1235\n1 1236\n1 1237\n1 1238\n1 1239\n1 1240\n1 1241\n1 1242\n1 1243\n1 1244\n1 1245\n1 1246\n1 1247\n1 1248\n1 1249\n1 1250\n1 1251\n1 1252\n1 1253\n1 1254\n1 1255\n1 1256\n1 1257\n1 1258\n1 1259\n1 1260\n1 1261\n1 1262\n1 1263\n1 1264\n1 1265\n1 1266\n1 1267\n1 1268\n1 1269\n1 1270\n1 1271\n1 1272\n1 1273\n1 1274\n1 1275\n1 1276\n1 1277\n1 1278\n1 1279\n1 1280\n1 1281\n1 1282\n1 1283\n1 1284\n1 1285\n1 1286\n1 1287\n1 1288\n1 1289\n1 1290\n1 1291\n1 1292\n1 1293\n1 1294\n1 1295\n1 1296\n1 1297\n1 1298\n1 1299\n1 1300\n1 1301\n1 1302\n1 1303\n1 1304\n1 1305\n1 1306\n1 1307\n1 1308\n1 1309\n1 1310\n1 1311\n1 1312\n1 1313\n1 1314\n1 1315\n1 1316\n1 1317\n1 1318\n1 1319\n1 1320\n1 1321\n1 1322\n1 1323\n1 1324\n1 1325\n1 1326\n1 1327\n1 1328\n1 1329\n1 1330\n1 1331\n1 1332\n1 1333\n1 1334\n1 1335\n1 1336\n1 1337\n1 1338\n1 1339\n1 1340\n1 1341\n1 1342\n1 1343\n1 1344\n1 1345\n1 1346\n1 1347\n1 1348\n1 1349\n1 1350\n1 1351\n1 1352\n1 1353\n1 1354\n1 1355\n1 1356\n1 1357\n1 1358\n1 1359\n1 1360\n1 1361\n1 1362\n1 1363\n1 1364\n1 1365\n1 1366\n1 1367\n1 1368\n1 1369\n1 1370\n1 1371\n1 1372\n1 1373\n1 1374\n1 1375\n1 1376\n1 1377\n1 1378\n1 1379\n1 1380\n1 1381\n1 1382\n1 1383\n1 1384\n1 1385\n1 1386\n1 1387\n1 1388\n1 1389\n1 1390\n1 1391\n1 1392\n1 1393\n1 1394\n1 1395\n1 1396\n1 1397\n1 1398\n1 1399\n1 1400\n1 1401\n1 1402\n1 1403\n1 1404\n1 1405\n1 1406\n1 1407\n1 1408\n1 1409\n1 1410\n1 1411\n1 1412\n1 1413\n1 1414\n1 1415\n1 1416\n1 1417\n1 1418\n1 1419\n1 1420\n1 1421\n1 1422\n1 1423\n1 1424\n1 1425\n1 1426\n1 1427\n1 1428\n1 1429\n1 1430\n1 1431\n1 1432\n1 1433\n1 1434\n1 1435\n1 1436\n1 1437\n1 1438\n1 1439\n1 1440\n1 1441\n1 1442\n1 1443\n1 1444\n1 1445\n1 1446\n1 1447\n1 1448\n1 1449\n1 1450\n1 1451\n1 1452\n1 1453\n1 1454\n1 1455\n1 1456\n1 1457\n1 1458\n1 1459\n1 1460\n1 1461\n1 1462\n1 1463\n1 1464\n1 1465\n1 1466\n1 1467\n1 1468\n1 1469\n1 1470\n1 1471\n1 1472\n1 1473\n1 1474\n1 1475\n1 1476\n1 1477\n1 1478\n1 1479\n1 1480\n1 1481\n1 1482\n1 1483\n1 1484\n1 1485\n1 1486\n1 1487\n1 1488\n1 1489\n1 1490\n1 1491\n1 1492\n1 1493\n1 1494\n1 1495\n1 1496\n1 1497\n1 1498\n1 1499\n1 1500\n1 1501\n1 1502\n1 1503\n1 1504\n1 1505\n1 1506\n1 1507\n1 1508\n1 1509\n1 1510\n1 1511\n1 1512\n1 1513\n1 1514\n1 1515\n1 1516\n1 1517\n1 1518\n1 1519\n1 1520\n1 1521\n1 1522\n1 1523\n1 1524\n1 1525\n1 1526\n1 1527\n1 1528\n1 1529\n1 1530\n1 1531\n1 1532\n1 1533\n1 1534\n1 1535\n1 1536\n1 1537\n1 1538\n1 1539\n1 1540\n1 1541\n1 1542\n1 1543\n1 1544\n1 1545\n1 1546\n1 1547\n1 1548\n1 1549\n1 1550\n1 1551\n1 1552\n1 1553\n1 1554\n1 1555\n1 1556\n1 1557\n1 1558\n1 1559\n1 1560\n1 1561\n1 1562\n1 1563\n1 1564\n1 1565\n1 1566\n1 1567\n1 1568\n1 1569\n1 1570\n1 1571\n1 1572\n1 1573\n1 1574\n1 1575\n1 1576\n1 1577\n1 1578\n1 1579\n1 1580\n1 1581\n1 1582\n1 1583\n1 1584\n1 1585\n1 1586\n1 1587\n1 1588\n1 1589\n1 1590\n1 1591\n1 1592\n1 1593\n1 1594\n1 1595\n1 1596\n1 1597\n1 1598\n1 1599\n1 1600\n1 1601\n1 1602\n1 1603\n1 1604\n1 1605\n1 1606\n1 1607\n1 1608\n1 1609\n1 1610\n1 1611\n1 1612\n1 1613\n1 1614\n1 1615\n1 1616\n1 1617\n1 1618\n1 1619\n1 1620\n1 1621\n1 1622\n1 1623\n1 1624\n1 1625\n1 1626\n1 1627\n1 1628\n1 1629\n1 1630\n1 1631\n1 1632\n1 1633\n1 1634\n1 1635\n1 1636\n1 1637\n1 1638\n1 1639\n1 1640\n1 1641\n1 1642\n1 1643\n1 1644\n1 1645\n1 1646\n1 1647\n1 1648\n1 1649\n1 1650\n1 1651\n1 1652\n1 1653\n1 1654\n1 1655\n1 1656\n1 1657\n1 1658\n1 1659\n1 1660\n1 1661\n1 1662\n1 1663\n1 1664\n1 1665\n1 1666\n1 1667\n1 1668\n1 1669\n1 1670\n1 1671\n1 1672\n1 1673\n1 1674\n1 1675\n1 1676\n1 1677\n1 1678\n1 1679\n1 1680\n1 1681\n1 1682\n1 1683\n1 1684\n1 1685\n1 1686\n1 1687\n1 1688\n1 1689\n1 1690\n1 1691\n1 1692\n1 1693\n1 1694\n1 1695\n1 1696\n1 1697\n1 1698\n1 1699\n1 1700\n1 1701\n1 1702\n1 1703\n1 1704\n1 1705\n1 1706\n1 1707\n1 1708\n1 1709\n1 1710\n1 1711\n1 1712\n1 1713\n1 1714\n1 1715\n1 1716\n1 1717\n1 1718\n1 1719\n1 1720\n1 1721\n1 1722\n1 1723\n1 1724\n1 1725\n1 1726\n1 1727\n1 1728\n1 1729\n1 1730\n1 1731\n1 1732\n1 1733\n1 1734\n1 1735\n1 1736\n1 1737\n1 1738\n1 1739\n1 1740\n1 1741\n1 1742\n1 1743\n1 1744\n1 1745\n1 1746\n1 1747\n1 1748\n1 1749\n1 1750\n1 1751\n1 1752\n1 1753\n1 1754\n1 1755\n1 1756\n1 1757\n1 1758\n1 1759\n1 1760\n1 1761\n1 1762\n1 1763\n1 1764\n1 1765\n1 1766\n1 1767\n1 1768\n1 1769\n1 1770\n1 1771\n1 1772\n1 1773\n1 1774\n1 1775\n1 1776\n1 1777\n1 1778\n1 1779\n1 1780\n1 1781\n1 1782\n1 1783\n1 1784\n1 1785\n1 1786\n1 1787\n1 1788\n1 1789\n1 1790\n1 1791\n1 1792\n1 1793\n1 1794\n1 1795\n1 1796\n1 1797\n1 1798\n1 1799\n1 1800\n1 1801\n1 1802\n1 1803\n1 1804\n1 1805\n1 1806\n1 1807\n1 1808\n1 1809\n1 1810\n1 1811\n1 1812\n1 1813\n1 1814\n1 1815\n1 1816\n1 1817\n1 1818\n1 1819\n1 1820\n1 1821\n1 1822\n1 1823\n1 1824\n1 1825\n1 1826\n1 1827\n1 1828\n1 1829\n1 1830\n1 1831\n1 1832\n1 1833\n1 1834\n1 1835\n1 1836\n1 1837\n1 1838\n1 1839\n1 1840\n1 1841\n1 1842\n1 1843\n1 1844\n1 1845\n1 1846\n1 1847\n1 1848\n1 1849\n1 1850\n1 1851\n1 1852\n1 1853\n1 1854\n1 1855\n1 1856\n1 1857\n1 1858\n1 1859\n1 1860\n1 1861\n1 1862\n1 1863\n1 1864\n1 1865\n1 1866\n1 1867\n1 1868\n1 1869\n1 1870\n1 1871\n1 1872\n1 1873\n1 1874\n1 1875\n1 1876\n1 1877\n1 1878\n1 1879\n1 1880\n1 1881\n1 1882\n1 1883\n1 1884\n1 1885\n1 1886\n1 1887\n1 1888\n1 1889\n1 1890\n1 1891\n1 1892\n1 1893\n1 1894\n1 1895\n1 1896\n1 1897\n1 1898\n1 1899\n1 1900\n1 1901\n1 1902\n1 1903\n1 1904\n1 1905\n1 1906\n1 1907\n1 1908\n1 1909\n1 1910\n1 1911\n1 1912\n1 1913\n1 1914\n1 1915\n1 1916\n1 1917\n1 1918\n1 1919\n1 1920\n1 1921\n1 1922\n1 1923\n1 1924\n1 1925\n1 1926\n1 1927\n1 1928\n1 1929\n1 1930\n1 1931\n1 1932\n1 1933\n1 1934\n1 1935\n1 1936\n1 1937\n1 1938\n1 1939\n1 1940\n1 1941\n1 1942\n1 1943\n1 1944\n1 1945\n1 1946\n1 1947\n1 1948\n1 1949\n1 1950\n1 1951\n1 1952\n1 1953\n1 1954\n1 1955\n1 1956\n1 1957\n1 1958\n1 1959\n1 1960\n1 1961\n1 1962\n1 1963\n1 1964\n1 1965\n1 1966\n1 1967\n1 1968\n1 1969\n1 1970\n1 1971\n1 1972\n1 1973\n1 1974\n1 1975\n1 1976\n1 1977\n1 1978\n1 1979\n1 1980\n1 1981\n1 1982\n1 1983\n1 1984\n1 1985\n1 1986\n1 1987\n1 1988\n1 1989\n1 1990\n1 1991\n1 1992\n1 1993\n1 1994\n1 1995\n1 1996\n1 1997\n1 1998\n1 1999\n1 2000\n1 2001\n1 2002\n1 2003\n1 2004\n1 2005\n1 2006\n1 2007\n1 2008\n1 2009\n1 2010\n1 2011\n1 2012\n1 2013\n1 2014\n1 2015\n1 2016\n1 2017\n1 2018\n1 2019\n1 2020\n1 2021\n1 2022\n1 2023\n1 2024\n1 2025\n1 2026\n1 2027\n1 2028\n1 2029\n1 2030\n1 2031\n1 2032\n1 2033\n1 2034\n1 2035\n1 2036\n1 2037\n1 2038\n1 2039\n1 2040\n1 2041\n1 2042\n1 2043\n1 2044\n1 2045\n1 2046\n1 2047\n1 2048\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n", "-1\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 3125\n2 3126\n2 3127\n2 3128\n2 3129\n2 3130\n2 3131\n2 3132\n2 3133\n2 3134\n2 3135\n2 3136\n2 3137\n2 3138\n2 3139\n2 3140\n2 3141\n2 3142\n2 3143\n2 3144\n2 3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n2 3213\n2 3214\n2 3215\n2 3216\n2 3217\n2 3218\n2 3219\n2 3220\n2 3221\n2 3222\n2 3223\n2 3224\n2 3225\n2 3226\n2 3227\n2 3228\n2 3229\n2 3230\n2 3231\n2 3232\n2 3233\n2 3234\n2 3235\n2 3236\n2 3237\n2 3238\n2 3239\n2 3240\n2 3241\n2 3242\n2 3243\n2 3244\n2 3245\n2 3246\n2 3247\n2 3248\n2 3249\n2 3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 3295\n2 3296\n2 3297\n2 3298\n2 3299\n2 3300\n2 3301\n2 3302\n2 3303\n2 3304\n2 3305\n2 3306\n2 3307\n2 3308\n2 3309\n2 3310\n2 3311\n2 3312\n2 3313\n2 3314\n2 3315\n2 3316\n2 3317\n2 3318\n2 3319\n2 3320\n2 3321\n2 3322\n2 3323\n2 3324\n2 3325\n2 3326\n2 3327\n2 3328\n2 3329\n2 3330\n2 3331\n2 3332\n2 3333\n2 3334\n2 3335\n2 3336\n2 3337\n2 3338\n2 3339\n2 3340\n2 3341\n2 3342\n2 3343\n2 3344\n2 3345\n2 3346\n2 3347\n2 3348\n2 3349\n2 3350\n2 3351\n2 3352\n2 3353\n2 3354\n2 3355\n2 3356\n2 3357\n2 3358\n2 3359\n2 3360\n2 3361\n2 3362\n2 3363\n2 3364\n2 3365\n2 3366\n2 3367\n2 3368\n2 3369\n2 3370\n2 3371\n2 3372\n2 3373\n2 3374\n2 3375\n2 3376\n2 3377\n2 3378\n2 3379\n2 3380\n2 3381\n2 3382\n2 3383\n2 3384\n2 3385\n2 3386\n2 3387\n2 3388\n2 3389\n2 3390\n2 3391\n2 3392\n2 3393\n2 3394\n2 3395\n2 3396\n2 3397\n2 3398\n2 3399\n2 3400\n2 3401\n2 3402\n2 3403\n2 3404\n2 3405\n2 3406\n2 3407\n2 3408\n2 3409\n2 3410\n2 3411\n2 3412\n2 3413\n2 3414\n2 3415\n2 3416\n2 3417\n2 3418\n2 3419\n2 3420\n2 3421\n2 3422\n2 3423\n2 3424\n2 3425\n2 3426\n2 3427\n2 3428\n2 3429\n2 3430\n2 3431\n2 3432\n2 3433\n2 3434\n2 3435\n2 3436\n2 3437\n2 3438\n2 3439\n2 3440\n2 3441\n2 3442\n2 3443\n2 3444\n2 3445\n2 3446\n2 3447\n2 3448\n2 3449\n2 3450\n2 3451\n2 3452\n2 3453\n2 3454\n2 3455\n2 3456\n2 3457\n2 3458\n2 3459\n2 3460\n2 3461\n2 3462\n2 3463\n2 3464\n2 3465\n2 3466\n2 3467\n2 3468\n2 3469\n2 3470\n2 3471\n2 3472\n2 3473\n2 3474\n2 3475\n2 3476\n2 3477\n2 3478\n2 3479\n2 3480\n2 3481\n2 3482\n2 3483\n2 3484\n2 3485\n2 3486\n2 3487\n2 3488\n2 3489\n2 3490\n2 3491\n2 3492\n2 3493\n2 3494\n2 3495\n2 3496\n2 3497\n2 3498\n2 3499\n2 3500\n2 3501\n2 3502\n2 3503\n2 3504\n2 3505\n2 3506\n2 3507\n2 3508\n2 3509\n2 3510\n2 3511\n2 3512\n2 3513\n2 3514\n2 3515\n2 3516\n2 3517\n2 3518\n2 3519\n2 3520\n2 3521\n2 3522\n2 3523\n2 3524\n2 3525\n2 3526\n2 3527\n2 3528\n2 3529\n2 3530\n2 3531\n2 3532\n2 3533\n2 3534\n2 3535\n2 3536\n2 3537\n2 3538\n2 3539\n2 3540\n2 3541\n2 3542\n2 3543\n2 3544\n2 3545\n2 3546\n2 3547\n2 3548\n2 3549\n2 3550\n2 3551\n2 3552\n2 3553\n2 3554\n2 3555\n2 3556\n2 3557\n2 3558\n2 3559\n2 3560\n2 3561\n2 3562\n2 3563\n2 3564\n2 3565\n2 3566\n2 3567\n2 3568\n2 3569\n2 3570\n2 3571\n2 3572\n2 3573\n2 3574\n2 3575\n2 3576\n2 3577\n2 3578\n2 3579\n2 3580\n2 3581\n2 3582\n2 3583\n2 3584\n2 3585\n2 3586\n2 3587\n2 3588\n2 3589\n2 3590\n2 3591\n2 3592\n2 3593\n2 3594\n2 3595\n2 3596\n2 3597\n2 3598\n2 3599\n2 3600\n2 3601\n2 3602\n2 3603\n2 3604\n2 3605\n2 3606\n2 3607\n2 3608\n2 3609\n2 3610\n2 3611\n2 3612\n2 3613\n2 3614\n2 3615\n2 3616\n2 3617\n2 3618\n2 3619\n2 3620\n2 3621\n2 3622\n2 3623\n2 3624\n2 3625\n2 3626\n2 3627\n2 3628\n2 3629\n2 3630\n2 3631\n2 3632\n2 3633\n2 3634\n2 3635\n2 3636\n2 3637\n2 3638\n2 3639\n2 3640\n2 3641\n2 3642\n2 3643\n2 3644\n2 3645\n2 3646\n2 3647\n2 3648\n2 3649\n2 3650\n2 3651\n2 3652\n2 3653\n2 3654\n2 3655\n2 3656\n2 3657\n2 3658\n2 3659\n2 3660\n2 3661\n2 3662\n2 3663\n2 3664\n2 3665\n2 3666\n2 3667\n2 3668\n2 3669\n2 3670\n2 3671\n2 3672\n2 3673\n2 3674\n2 3675\n2 3676\n2 3677\n2 3678\n2 3679\n2 3680\n2 3681\n2 3682\n2 3683\n2 3684\n2 3685\n2 3686\n2 3687\n2 3688\n2 3689\n2 3690\n2 3691\n2 3692\n2 3693\n2 3694\n2 3695\n2 3696\n2 3697\n2 3698\n2 3699\n2 3700\n2 3701\n2 3702\n2 3703\n2 3704\n2 3705\n2 3706\n2 3707\n2 3708\n2 3709\n2 3710\n2 3711\n2 3712\n2 3713\n2 3714\n2 3715\n2 3716\n2 3717\n2 3718\n2 3719\n2 3720\n2 3721\n2 3722\n2 3723\n2 3724\n2 3725\n2 3726\n2 3727\n2 3728\n2 3729\n2 3730\n2 3731\n2 3732\n2 3733\n2 3734\n2 3735\n2 3736\n2 3737\n2 3738\n2 3739\n2 3740\n2 3741\n2 3742\n2 3743\n2 3744\n2 3745\n2 3746\n2 3747\n2 3748\n2 3749\n2 3750\n2 3751\n2 3752\n2 3753\n2 3754\n2 3755\n2 3756\n2 3757\n2 3758\n2 3759\n2 3760\n2 3761\n2 3762\n2 3763\n2 3764\n2 3765\n2 3766\n2 3767\n2 3768\n2 3769\n2 3770\n2 3771\n2 3772\n2 3773\n2 3774\n2 3775\n2 3776\n2 3777\n2 3778\n2 3779\n2 3780\n2 3781\n2 3782\n2 3783\n2 3784\n2 3785\n2 3786\n2 3787\n2 3788\n2 3789\n2 3790\n2 3791\n2 3792\n2 3793\n2 3794\n2 3795\n2 3796\n2 3797\n2 3798\n2 3799\n2 3800\n2 3801\n2 3802\n2 3803\n2 3804\n2 3805\n2 3806\n2 3807\n2 3808\n2 3809\n2 3810\n2 3811\n2 3812\n2 3813\n2 3814\n2 3815\n2 3816\n2 3817\n2 3818\n2 3819\n2 3820\n2 3821\n2 3822\n2 3823\n2 3824\n2 3825\n2 3826\n2 3827\n2 3828\n2 3829\n2 3830\n2 3831\n2 3832\n2 3833\n2 3834\n2 3835\n2 3836\n2 3837\n2 3838\n2 3839\n2 3840\n2 3841\n2 3842\n2 3843\n2 3844\n2 3845\n2 3846\n2 3847\n2 3848\n2 3849\n2 3850\n2 3851\n2 3852\n2 3853\n2 3854\n2 3855\n2 3856\n2 3857\n2 3858\n2 3859\n2 3860\n2 3861\n2 3862\n2 3863\n2 3864\n2 3865\n2 3866\n2 3867\n2 3868\n2 3869\n2 3870\n2 3871\n2 3872\n2 3873\n2 3874\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 1027\n1027 1028\n1028 1029\n1029 1030\n1030 1031\n1031 1032\n1032 1033\n1033 1034\n1034 1035\n1035 1036\n1036 1037\n1037 1038\n1038 1039\n1039 1040\n1040 1041\n1041 1042\n1042 1043\n1043 1044\n1044 1045\n1045 1046\n1046 1047\n1047 1048\n1048 1049\n1049 1050\n1050 1051\n1051 1052\n1052 1053\n1053 1054\n1054 1055\n1055 1056\n1056 1057\n1057 1058\n1058 1059\n1059 1060\n1060 1061\n1061 1062\n1062 1063\n1063 1064\n1064 1065\n1065 1066\n1066 1067\n1067 1068\n1068 1069\n1069 1070\n1070 1071\n1071 1072\n1072 1073\n1073 1074\n1074 1075\n1075 1076\n1076 1077\n1077 1078\n1078 1079\n1079 1080\n1080 1081\n1081 1082\n1082 1083\n1083 1084\n1084 1085\n1085 1086\n1086 1087\n1087 1088\n1088 1089\n1089 1090\n1090 1091\n1091 1092\n1092 1093\n1093 1094\n1094 1095\n1095 1096\n1096 1097\n1097 1098\n1098 1099\n1099 1100\n1100 1101\n1101 1102\n1102 1103\n1103 1104\n1104 1105\n1105 1106\n1106 1107\n1107 1108\n1108 1109\n1109 1110\n1110 1111\n1111 1112\n1112 1113\n1113 1114\n1114 1115\n1115 1116\n1116 1117\n1117 1118\n1118 1119\n1119 1120\n1120 1121\n1121 1122\n1122 1123\n1123 1124\n1124 1125\n1125 1126\n1126 1127\n1127 1128\n1128 1129\n1129 1130\n1130 1131\n1131 1132\n1132 1133\n1133 1134\n1134 1135\n1135 1136\n1136 1137\n1137 1138\n1138 1139\n1139 1140\n1140 1141\n1141 1142\n1142 1143\n1143 1144\n1144 1145\n1145 1146\n1146 1147\n1147 1148\n1148 1149\n1149 1150\n1150 1151\n1151 1152\n1152 1153\n1153 1154\n1154 1155\n1155 1156\n1156 1157\n1157 1158\n1158 1159\n1159 1160\n1160 1161\n1161 1162\n1162 1163\n1163 1164\n1164 1165\n1165 1166\n1166 1167\n1167 1168\n1168 1169\n1169 1170\n1170 1171\n1171 1172\n1172 1173\n1173 1174\n1174 1175\n1175 1176\n1176 1177\n1177 1178\n1178 1179\n1179 1180\n1180 1181\n1181 1182\n1182 1183\n1183 1184\n1184 1185\n1185 1186\n1186 1187\n1187 1188\n1188 1189\n1189 1190\n1190 1191\n1191 1192\n1192 1193\n1193 1194\n1194 1195\n1195 1196\n1196 1197\n1197 1198\n1198 1199\n1199 1200\n1200 1201\n1201 1202\n1202 1203\n1203 1204\n1204 1205\n1205 1206\n1206 1207\n1207 1208\n1208 1209\n1209 1210\n1210 1211\n1211 1212\n1212 1213\n1213 1214\n1214 1215\n1215 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3127\n3127 3128\n3128 3129\n3129 3130\n3130 3131\n3131 3132\n3132 3133\n3133 3134\n3134 3135\n3135 3136\n3136 3137\n3137 3138\n3138 3139\n3139 3140\n3140 3141\n3141 3142\n3142 3143\n3143 3144\n3144 3145\n3145 3146\n3146 3147\n3147 3148\n3148 3149\n3149 3150\n3150 3151\n3151 3152\n3152 3153\n3153 3154\n3154 3155\n3155 3156\n3156 3157\n3157 3158\n3158 3159\n3159 3160\n3160 3161\n3161 3162\n3162 3163\n3163 3164\n3164 3165\n3165 3166\n3166 3167\n3167 3168\n3168 3169\n3169 3170\n3170 3171\n3171 3172\n3172 3173\n3173 3174\n3174 3175\n3175 3176\n3176 3177\n3177 3178\n3178 3179\n3179 3180\n3180 3181\n3181 3182\n3182 3183\n3183 3184\n3184 3185\n3185 3186\n3186 3187\n3187 3188\n3188 3189\n3189 3190\n3190 3191\n3191 3192\n3192 3193\n3193 3194\n3194 3195\n3195 3196\n3196 3197\n3197 3198\n3198 3199\n3199 3200\n3200 3201\n3201 3202\n3202 3203\n3203 3204\n3204 3205\n3205 3206\n3206 3207\n3207 3208\n3208 3209\n3209 3210\n3210 3211\n3211 3212\n3212 3213\n3213 3214\n3214 3215\n3215 3216\n3216 3217\n3217 3218\n3218 3219\n3219 3220\n3220 3221\n3221 3222\n3222 3223\n3223 3224\n3224 3225\n3225 3226\n3226 3227\n3227 3228\n3228 3229\n3229 3230\n3230 3231\n3231 3232\n3232 3233\n3233 3234\n3234 3235\n3235 3236\n3236 3237\n3237 3238\n3238 3239\n3239 3240\n3240 3241\n3241 3242\n3242 3243\n3243 3244\n3244 3245\n3245 3246\n3246 3247\n3247 3248\n3248 3249\n3249 3250\n3250 3251\n3251 3252\n3252 3253\n3253 3254\n3254 3255\n3255 3256\n3256 3257\n3257 3258\n3258 3259\n3259 3260\n3260 3261\n3261 3262\n3262 3263\n3263 3264\n3264 3265\n3265 3266\n3266 3267\n3267 3268\n3268 3269\n3269 3270\n3270 3271\n3271 3272\n3272 3273\n3273 3274\n3274 3275\n3275 3276\n3276 3277\n3277 3278\n3278 3279\n3279 3280\n3280 3281\n3281 3282\n3282 3283\n3283 3284\n3284 3285\n3285 3286\n3286 3287\n3287 3288\n3288 3289\n3289 3290\n3290 3291\n3291 3292\n3292 3293\n3293 3294\n3294 3295\n3295 3296\n3296 3297\n3297 3298\n3298 3299\n3299 3300\n3300 3301\n3301 3302\n3302 3303\n3303 3304\n3304 3305\n3305 3306\n3306 3307\n3307 3308\n3308 3309\n3309 3310\n3310 3311\n3311 3312\n3312 3313\n3313 3314\n3314 3315\n3315 3316\n3316 3317\n3317 3318\n3318 3319\n3319 3320\n3320 3321\n3321 3322\n3322 3323\n3323 3324\n3324 3325\n3325 3326\n3326 3327\n3327 3328\n3328 3329\n3329 3330\n3330 3331\n3331 3332\n3332 3333\n3333 3334\n3334 3335\n3335 3336\n3336 3337\n3337 3338\n3338 3339\n3339 3340\n3340 3341\n3341 3342\n3342 3343\n3343 3344\n3344 3345\n3345 3346\n3346 3347\n3347 3348\n3348 3349\n3349 3350\n3350 3351\n3351 3352\n3352 3353\n3353 3354\n3354 3355\n3355 3356\n3356 3357\n3357 3358\n3358 3359\n3359 3360\n3360 3361\n3361 3362\n3362 3363\n3363 3364\n3364 3365\n3365 3366\n3366 3367\n3367 3368\n3368 3369\n3369 3370\n3370 3371\n3371 3372\n3372 3373\n3373 3374\n3374 3375\n3375 3376\n3376 3377\n3377 3378\n3378 3379\n3379 3380\n3380 3381\n3381 3382\n3382 3383\n3383 3384\n3384 3385\n3385 3386\n3386 3387\n3387 3388\n3388 3389\n3389 3390\n3390 3391\n3391 3392\n3392 3393\n3393 3394\n3394 3395\n3395 3396\n3396 3397\n3397 3398\n3398 3399\n3399 3400\n3400 3401\n3401 3402\n3402 3403\n3403 3404\n3404 3405\n3405 3406\n3406 3407\n3407 3408\n3408 3409\n3409 3410\n3410 3411\n3411 3412\n3412 3413\n3413 3414\n3414 3415\n3415 3416\n3416 3417\n3417 3418\n3418 3419\n3419 3420\n3420 3421\n3421 3422\n3422 3423\n3423 3424\n3424 3425\n3425 3426\n3426 3427\n3427 3428\n3428 3429\n3429 3430\n3430 3431\n3431 3432\n3432 3433\n3433 3434\n3434 3435\n3435 3436\n3436 3437\n3437 3438\n3438 3439\n3439 3440\n3440 3441\n3441 3442\n3442 3443\n3443 3444\n3444 3445\n3445 3446\n3446 3447\n3447 3448\n3448 3449\n3449 3450\n3450 3451\n3451 3452\n3452 3453\n3453 3454\n3454 3455\n3455 3456\n3456 3457\n3457 3458\n3458 3459\n3459 3460\n3460 3461\n3461 3462\n3462 3463\n3463 3464\n3464 3465\n3465 3466\n3466 3467\n3467 3468\n3468 3469\n3469 3470\n3470 3471\n3471 3472\n3472 3473\n3473 3474\n3474 3475\n3475 3476\n3476 3477\n3477 3478\n3478 3479\n3479 3480\n3480 3481\n3481 3482\n3482 3483\n3483 3484\n3484 3485\n3485 3486\n3486 3487\n3487 3488\n3488 3489\n3489 3490\n3490 3491\n3491 3492\n3492 3493\n3493 3494\n3494 3495\n3495 3496\n3496 3497\n3497 3498\n3498 3499\n3499 3500\n3500 3501\n3501 3502\n3502 3503\n3503 3504\n3504 3505\n3505 3506\n3506 3507\n3507 3508\n3508 3509\n3509 3510\n3510 3511\n3511 3512\n3512 3513\n3513 3514\n3514 3515\n3515 3516\n3516 3517\n3517 3518\n3518 3519\n3519 3520\n3520 3521\n3521 3522\n3522 3523\n3523 3524\n3524 3525\n3525 3526\n3526 3527\n3527 3528\n3528 3529\n3529 3530\n3530 3531\n3531 3532\n3532 3533\n3533 3534\n3534 3535\n3535 3536\n3536 3537\n3537 3538\n3538 3539\n3539 3540\n3540 3541\n3541 3542\n3542 3543\n3543 3544\n3544 3545\n3545 3546\n3546 3547\n3547 3548\n3548 3549\n3549 3550\n3550 3551\n3551 3552\n3552 3553\n3553 3554\n3554 3555\n3555 3556\n3556 3557\n3557 3558\n3558 3559\n3559 3560\n3560 3561\n3561 3562\n3562 3563\n3563 3564\n3564 3565\n3565 3566\n3566 3567\n3567 3568\n3568 3569\n3569 3570\n3570 3571\n3571 3572\n3572 3573\n3573 3574\n3574 3575\n3575 3576\n3576 3577\n3577 3578\n3578 3579\n3579 3580\n3580 3581\n3581 3582\n3582 3583\n3583 3584\n3584 3585\n3585 3586\n3586 3587\n3587 3588\n3588 3589\n3589 3590\n3590 3591\n3591 3592\n3592 3593\n3593 3594\n3594 3595\n3595 3596\n3596 3597\n3597 3598\n3598 3599\n3599 3600\n3600 3601\n3601 3602\n3602 3603\n3603 3604\n3604 3605\n3605 3606\n3606 3607\n3607 3608\n3608 3609\n3609 3610\n3610 3611\n3611 3612\n3612 3613\n3613 3614\n3614 3615\n3615 3616\n3616 3617\n3617 3618\n3618 3619\n3619 3620\n3620 3621\n3621 3622\n3622 3623\n3623 3624\n3624 3625\n3625 3626\n3626 3627\n3627 3628\n3628 3629\n3629 3630\n3630 3631\n3631 3632\n3632 3633\n3633 3634\n3634 3635\n3635 3636\n3636 3637\n3637 3638\n3638 3639\n3639 3640\n3640 3641\n3641 3642\n3642 3643\n3643 3644\n3644 3645\n3645 3646\n3646 3647\n3647 3648\n3648 3649\n3649 3650\n3650 3651\n3651 3652\n3652 3653\n3653 3654\n3654 3655\n3655 3656\n3656 3657\n3657 3658\n3658 3659\n3659 3660\n3660 3661\n3661 3662\n3662 3663\n3663 3664\n3664 3665\n3665 3666\n3666 3667\n3667 3668\n3668 3669\n3669 3670\n3670 3671\n3671 3672\n3672 3673\n3673 3674\n3674 3675\n3675 3676\n3676 3677\n3677 3678\n3678 3679\n3679 3680\n3680 3681\n3681 3682\n3682 3683\n3683 3684\n3684 3685\n3685 3686\n3686 3687\n3687 3688\n3688 3689\n3689 3690\n3690 3691\n3691 3692\n3692 3693\n3693 3694\n3694 3695\n3695 3696\n3696 3697\n3697 3698\n3698 3699\n3699 3700\n3700 3701\n3701 3702\n3702 3703\n3703 3704\n3704 3705\n3705 3706\n3706 3707\n3707 3708\n3708 3709\n3709 3710\n3710 3711\n3711 3712\n3712 3713\n3713 3714\n3714 3715\n3715 3716\n3716 3717\n3717 3718\n3718 3719\n3719 3720\n3720 3721\n3721 3722\n3722 3723\n3723 3724\n3724 3725\n3725 3726\n3726 3727\n3727 3728\n3728 3729\n3729 3730\n3730 3731\n3731 3732\n3732 3733\n3733 3734\n3734 3735\n3735 3736\n3736 3737\n3737 3738\n3738 3739\n3739 3740\n3740 3741\n3741 3742\n3742 3743\n3743 3744\n3744 3745\n3745 3746\n3746 3747\n3747 3748\n3748 3749\n3749 3750\n3750 3751\n3751 3752\n3752 3753\n3753 3754\n3754 3755\n3755 3756\n3756 3757\n3757 3758\n3758 3759\n3759 3760\n3760 3761\n3761 3762\n3762 3763\n3763 3764\n3764 3765\n3765 3766\n3766 3767\n3767 3768\n3768 3769\n3769 3770\n3770 3771\n3771 3772\n3772 3773\n3773 3774\n3774 3775\n3775 3776\n3776 3777\n3777 3778\n3778 3779\n3779 3780\n3780 3781\n3781 3782\n3782 3783\n3783 3784\n3784 3785\n3785 3786\n3786 3787\n3787 3788\n3788 3789\n3789 3790\n3790 3791\n3791 3792\n3792 3793\n3793 3794\n3794 3795\n3795 3796\n3796 3797\n3797 3798\n3798 3799\n3799 3800\n3800 3801\n3801 3802\n3802 3803\n3803 3804\n3804 3805\n3805 3806\n3806 3807\n3807 3808\n3808 3809\n3809 3810\n3810 3811\n3811 3812\n3812 3813\n3813 3814\n3814 3815\n3815 3816\n3816 3817\n3817 3818\n3818 3819\n3819 3820\n3820 3821\n3821 3822\n3822 3823\n3823 3824\n3824 3825\n3825 3826\n3826 3827\n3827 3828\n3828 3829\n3829 3830\n3830 3831\n3831 3832\n3832 3833\n3833 3834\n3834 3835\n3835 3836\n3836 3837\n3837 3838\n3838 3839\n3839 3840\n3840 3841\n3841 3842\n3842 3843\n3843 3844\n3844 3845\n3845 3846\n3846 3847\n3847 3848\n3848 3849\n3849 3850\n3850 3851\n3851 3852\n3852 3853\n3853 3854\n3854 3855\n3855 3856\n3856 3857\n3857 3858\n3858 3859\n3859 3860\n3860 3861\n3861 3862\n3862 3863\n3863 3864\n3864 3865\n3865 3866\n3866 3867\n3867 3868\n3868 3869\n3869 3870\n3870 3871\n3871 3872\n3872 3873\n3873 3874\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 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711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 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2674\n2674 2675\n2675 2676\n2676 2677\n2677 2678\n2678 2679\n2679 2680\n2680 2681\n2681 2682\n2682 2683\n2683 2684\n2684 2685\n2685 2686\n2686 2687\n2687 2688\n2688 2689\n2689 2690\n2690 2691\n2691 2692\n2692 2693\n2693 2694\n2694 2695\n2695 2696\n2696 2697\n2697 2698\n2698 2699\n2699 2700\n2700 2701\n2701 2702\n2702 2703\n2703 2704\n2704 2705\n2705 2706\n2706 2707\n2707 2708\n2708 2709\n2709 2710\n2710 2711\n2711 2712\n2712 2713\n2713 2714\n2714 2715\n2715 2716\n2716 2717\n2717 2718\n2718 2719\n2719 2720\n2720 2721\n2721 2722\n2722 2723\n2723 2724\n2724 2725\n2725 2726\n2726 2727\n2727 2728\n2728 2729\n2729 2730\n2730 2731\n2731 2732\n2732 2733\n2733 2734\n2734 2735\n2735 2736\n2736 2737\n2737 2738\n2738 2739\n2739 2740\n2740 2741\n2741 2742\n2742 2743\n2743 2744\n2744 2745\n2745 2746\n2746 2747\n2747 2748\n2748 2749\n2749 2750\n2750 2751\n2751 2752\n2752 2753\n2753 2754\n2754 2755\n2755 2756\n2756 2757\n2757 2758\n2758 2759\n2759 2760\n2760 2761\n2761 2762\n2762 2763\n2763 2764\n2764 2765\n2765 2766\n2766 2767\n2767 2768\n2768 2769\n2769 2770\n2770 2771\n2771 2772\n2772 2773\n2773 2774\n2774 2775\n2775 2776\n2776 2777\n2777 2778\n2778 2779\n2779 2780\n2780 2781\n2781 2782\n2782 2783\n2783 2784\n2784 2785\n2785 2786\n2786 2787\n2787 2788\n2788 2789\n2789 2790\n2790 2791\n2791 2792\n2792 2793\n2793 2794\n2794 2795\n2795 2796\n2796 2797\n2797 2798\n2798 2799\n2799 2800\n2800 2801\n2801 2802\n2802 2803\n2803 2804\n2804 2805\n2805 2806\n2806 2807\n2807 2808\n2808 2809\n2809 2810\n2810 2811\n2811 2812\n2812 2813\n2813 2814\n2814 2815\n2815 2816\n2816 2817\n2817 2818\n2818 2819\n2819 2820\n2820 2821\n2821 2822\n2822 2823\n2823 2824\n2824 2825\n2825 2826\n2826 2827\n2827 2828\n2828 2829\n2829 2830\n2830 2831\n2831 2832\n2832 2833\n2833 2834\n2834 2835\n2835 2836\n2836 2837\n2837 2838\n2838 2839\n2839 2840\n2840 2841\n2841 2842\n2842 2843\n2843 2844\n2844 2845\n2845 2846\n2846 2847\n2847 2848\n2848 2849\n2849 2850\n2850 2851\n2851 2852\n2852 2853\n2853 2854\n2854 2855\n2855 2856\n2856 2857\n2857 2858\n2858 2859\n2859 2860\n2860 2861\n2861 2862\n2862 2863\n2863 2864\n2864 2865\n2865 2866\n2866 2867\n2867 2868\n2868 2869\n2869 2870\n2870 2871\n2871 2872\n2872 2873\n2873 2874\n2874 2875\n2875 2876\n2876 2877\n2877 2878\n2878 2879\n2879 2880\n2880 2881\n2881 2882\n2882 2883\n2883 2884\n2884 2885\n2885 2886\n2886 2887\n2887 2888\n2888 2889\n2889 2890\n2890 2891\n2891 2892\n2892 2893\n2893 2894\n2894 2895\n2895 2896\n2896 2897\n2897 2898\n2898 2899\n2899 2900\n2900 2901\n2901 2902\n2902 2903\n2903 2904\n2904 2905\n2905 2906\n2906 2907\n2907 2908\n2908 2909\n2909 2910\n2910 2911\n2911 2912\n2912 2913\n2913 2914\n2914 2915\n2915 2916\n2916 2917\n2917 2918\n2918 2919\n2919 2920\n2920 2921\n2921 2922\n2922 2923\n2923 2924\n2924 2925\n2925 2926\n2926 2927\n2927 2928\n2928 2929\n2929 2930\n2930 2931\n2931 2932\n2932 2933\n2933 2934\n2934 2935\n2935 2936\n2936 2937\n2937 2938\n2938 2939\n2939 2940\n2940 2941\n2941 2942\n2942 2943\n2943 2944\n2944 2945\n2945 2946\n2946 2947\n2947 2948\n2948 2949\n2949 2950\n2950 2951\n2951 2952\n2952 2953\n2953 2954\n2954 2955\n2955 2956\n2956 2957\n2957 2958\n2958 2959\n2959 2960\n2960 2961\n2961 2962\n2962 2963\n2963 2964\n2964 2965\n2965 2966\n2966 2967\n2967 2968\n2968 2969\n2969 2970\n2970 2971\n2971 2972\n2972 2973\n2973 2974\n2974 2975\n2975 2976\n2976 2977\n2977 2978\n2978 2979\n2979 2980\n2980 2981\n2981 2982\n2982 2983\n2983 2984\n2984 2985\n2985 2986\n2986 2987\n2987 2988\n2988 2989\n2989 2990\n2990 2991\n2991 2992\n2992 2993\n2993 2994\n2994 2995\n2995 2996\n2996 2997\n2997 2998\n2998 2999\n2999 3000\n3000 3001\n3001 3002\n3002 3003\n3003 3004\n3004 3005\n3005 3006\n3006 3007\n3007 3008\n3008 3009\n3009 3010\n3010 3011\n3011 3012\n3012 3013\n3013 3014\n3014 3015\n3015 3016\n3016 3017\n3017 3018\n3018 3019\n3019 3020\n3020 3021\n3021 3022\n3022 3023\n3023 3024\n3024 3025\n3025 3026\n3026 3027\n3027 3028\n3028 3029\n3029 3030\n3030 3031\n3031 3032\n3032 3033\n3033 3034\n3034 3035\n3035 3036\n3036 3037\n3037 3038\n3038 3039\n3039 3040\n3040 3041\n3041 3042\n3042 3043\n3043 3044\n3044 3045\n3045 3046\n3046 3047\n3047 3048\n3048 3049\n3049 3050\n3050 3051\n3051 3052\n3052 3053\n3053 3054\n3054 3055\n3055 3056\n3056 3057\n3057 3058\n3058 3059\n3059 3060\n3060 3061\n3061 3062\n3062 3063\n3063 3064\n3064 3065\n3065 3066\n3066 3067\n3067 3068\n3068 3069\n3069 3070\n3070 3071\n3071 3072\n3072 3073\n3073 3074\n3074 3075\n3075 3076\n3076 3077\n3077 3078\n3078 3079\n3079 3080\n3080 3081\n3081 3082\n3082 3083\n3083 3084\n3084 3085\n3085 3086\n3086 3087\n3087 3088\n3088 3089\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 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3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n2 3213\n2 3214\n2 3215\n2 3216\n2 3217\n2 3218\n2 3219\n2 3220\n2 3221\n2 3222\n2 3223\n2 3224\n2 3225\n2 3226\n2 3227\n2 3228\n2 3229\n2 3230\n2 3231\n2 3232\n2 3233\n2 3234\n2 3235\n2 3236\n2 3237\n2 3238\n2 3239\n2 3240\n2 3241\n2 3242\n2 3243\n2 3244\n2 3245\n2 3246\n2 3247\n2 3248\n2 3249\n2 3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 3295\n2 3296\n2 3297\n2 3298\n2 3299\n2 3300\n2 3301\n2 3302\n2 3303\n2 3304\n2 3305\n2 3306\n2 3307\n2 3308\n2 3309\n2 3310\n2 3311\n2 3312\n2 3313\n2 3314\n2 3315\n2 3316\n2 3317\n2 3318\n2 3319\n2 3320\n2 3321\n2 3322\n2 3323\n2 3324\n2 3325\n2 3326\n2 3327\n2 3328\n2 3329\n2 3330\n2 3331\n2 3332\n2 3333\n2 3334\n2 3335\n2 3336\n2 3337\n2 3338\n2 3339\n2 3340\n2 3341\n2 3342\n2 3343\n2 3344\n2 3345\n2 3346\n2 3347\n2 3348\n2 3349\n2 3350\n2 3351\n2 3352\n2 3353\n2 3354\n2 3355\n2 3356\n2 3357\n2 3358\n2 3359\n2 3360\n2 3361\n2 3362\n2 3363\n2 3364\n2 3365\n2 3366\n2 3367\n2 3368\n2 3369\n2 3370\n2 3371\n2 3372\n2 3373\n2 3374\n2 3375\n2 3376\n2 3377\n2 3378\n2 3379\n2 3380\n2 3381\n2 3382\n2 3383\n2 3384\n2 3385\n2 3386\n2 3387\n2 3388\n2 3389\n2 3390\n2 3391\n2 3392\n2 3393\n2 3394\n2 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9520\n2 9521\n2 9522\n2 9523\n2 9524\n2 9525\n2 9526\n2 9527\n2 9528\n2 9529\n2 9530\n2 9531\n2 9532\n2 9533\n2 9534\n2 9535\n2 9536\n2 9537\n2 9538\n2 9539\n2 9540\n2 9541\n2 9542\n2 9543\n2 9544\n2 9545\n2 9546\n2 9547\n2 9548\n2 9549\n2 9550\n2 9551\n2 9552\n2 9553\n2 9554\n2 9555\n2 9556\n2 9557\n2 9558\n2 9559\n2 9560\n2 9561\n2 9562\n2 9563\n2 9564\n2 9565\n2 9566\n2 9567\n2 9568\n2 9569\n2 9570\n2 9571\n2 9572\n2 9573\n2 9574\n2 9575\n2 9576\n2 9577\n2 9578\n2 9579\n2 9580\n2 9581\n2 9582\n2 9583\n2 9584\n2 9585\n2 9586\n2 9587\n2 9588\n2 9589\n2 9590\n2 9591\n2 9592\n2 9593\n2 9594\n2 9595\n2 9596\n2 9597\n2 9598\n2 9599\n2 9600\n2 9601\n2 9602\n2 9603\n2 9604\n2 9605\n2 9606\n2 9607\n2 9608\n2 9609\n2 9610\n2 9611\n2 9612\n2 9613\n2 9614\n2 9615\n2 9616\n2 9617\n2 9618\n2 9619\n2 9620\n2 9621\n2 9622\n2 9623\n2 9624\n2 9625\n2 9626\n2 9627\n2 9628\n2 9629\n2 9630\n2 9631\n2 9632\n2 9633\n2 9634\n2 9635\n2 9636\n2 9637\n2 9638\n2 9639\n2 9640\n2 9641\n2 9642\n2 9643\n2 9644\n2 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9770\n2 9771\n2 9772\n2 9773\n2 9774\n2 9775\n2 9776\n2 9777\n2 9778\n2 9779\n2 9780\n2 9781\n2 9782\n2 9783\n2 9784\n2 9785\n2 9786\n2 9787\n2 9788\n2 9789\n2 9790\n2 9791\n2 9792\n2 9793\n2 9794\n2 9795\n2 9796\n2 9797\n2 9798\n2 9799\n2 9800\n2 9801\n2 9802\n2 9803\n2 9804\n2 9805\n2 9806\n2 9807\n2 9808\n2 9809\n2 9810\n2 9811\n2 9812\n2 9813\n2 9814\n2 9815\n2 9816\n2 9817\n2 9818\n2 9819\n2 9820\n2 9821\n2 9822\n2 9823\n2 9824\n2 9825\n2 9826\n2 9827\n2 9828\n2 9829\n2 9830\n2 9831\n2 9832\n2 9833\n2 9834\n2 9835\n2 9836\n2 9837\n2 9838\n2 9839\n2 9840\n2 9841\n2 9842\n2 9843\n2 9844\n2 9845\n2 9846\n2 9847\n2 9848\n2 9849\n2 9850\n2 9851\n2 9852\n2 9853\n2 9854\n2 9855\n2 9856\n2 9857\n2 9858\n2 9859\n2 9860\n2 9861\n2 9862\n2 9863\n2 9864\n2 9865\n2 9866\n2 9867\n2 9868\n2 9869\n2 9870\n2 9871\n2 9872\n2 9873\n2 9874\n2 9875\n2 9876\n2 9877\n2 9878\n2 9879\n2 9880\n2 9881\n2 9882\n2 9883\n2 9884\n2 9885\n2 9886\n2 9887\n2 9888\n2 9889\n2 9890\n2 9891\n2 9892\n2 9893\n2 9894\n2 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152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 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707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 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1123\n1123 1124\n1124 1125\n1125 1126\n1126 1127\n1127 1128\n1128 1129\n1129 1130\n1130 1131\n1131 1132\n1132 1133\n1133 1134\n1134 1135\n1135 1136\n1136 1137\n1137 1138\n1138 1139\n1139 1140\n1140 1141\n1141 1142\n1142 1143\n1143 1144\n1144 1145\n1145 1146\n1146 1147\n1147 1148\n1148 1149\n1149 1150\n1150 1151\n1151 1152\n1152 1153\n1153 1154\n1154 1155\n1155 1156\n1156 1157\n1157 1158\n1158 1159\n1159 1160\n1160 1161\n1161 1162\n1162 1163\n1163 1164\n1164 1165\n1165 1166\n1166 1167\n1167 1168\n1168 1169\n1169 1170\n1170 1171\n1171 1172\n1172 1173\n1173 1174\n1174 1175\n1175 1176\n1176 1177\n1177 1178\n1178 1179\n1179 1180\n1180 1181\n1181 1182\n1182 1183\n1183 1184\n1184 1185\n1185 1186\n1186 1187\n1187 1188\n1188 1189\n1189 1190\n1190 1191\n1191 1192\n1192 1193\n1193 1194\n1194 1195\n1195 1196\n1196 1197\n1197 1198\n1198 1199\n1199 1200\n1200 1201\n1201 1202\n1202 1203\n1203 1204\n1204 1205\n1205 1206\n1206 1207\n1207 1208\n1208 1209\n1209 1210\n1210 1211\n1211 1212\n1212 1213\n1213 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9586\n9586 9587\n9587 9588\n9588 9589\n9589 9590\n9590 9591\n9591 9592\n9592 9593\n9593 9594\n9594 9595\n9595 9596\n9596 9597\n9597 9598\n9598 9599\n9599 9600\n9600 9601\n9601 9602\n9602 9603\n9603 9604\n9604 9605\n9605 9606\n9606 9607\n9607 9608\n9608 9609\n9609 9610\n9610 9611\n9611 9612\n9612 9613\n9613 9614\n9614 9615\n9615 9616\n9616 9617\n9617 9618\n9618 9619\n9619 9620\n9620 9621\n9621 9622\n9622 9623\n9623 9624\n9624 9625\n9625 9626\n9626 9627\n9627 9628\n9628 9629\n9629 9630\n9630 9631\n9631 9632\n9632 9633\n9633 9634\n9634 9635\n9635 9636\n9636 9637\n9637 9638\n9638 9639\n9639 9640\n9640 9641\n9641 9642\n9642 9643\n9643 9644\n9644 9645\n9645 9646\n9646 9647\n9647 9648\n9648 9649\n9649 9650\n9650 9651\n9651 9652\n9652 9653\n9653 9654\n9654 9655\n9655 9656\n9656 9657\n9657 9658\n9658 9659\n9659 9660\n9660 9661\n9661 9662\n9662 9663\n9663 9664\n9664 9665\n9665 9666\n9666 9667\n9667 9668\n9668 9669\n9669 9670\n9670 9671\n9671 9672\n9672 9673\n9673 9674\n9674 9675\n9675 9676\n9676 9677\n9677 9678\n9678 9679\n9679 9680\n9680 9681\n9681 9682\n9682 9683\n9683 9684\n9684 9685\n9685 9686\n9686 9687\n9687 9688\n9688 9689\n9689 9690\n9690 9691\n9691 9692\n9692 9693\n9693 9694\n9694 9695\n9695 9696\n9696 9697\n9697 9698\n9698 9699\n9699 9700\n9700 9701\n9701 9702\n9702 9703\n9703 9704\n9704 9705\n9705 9706\n9706 9707\n9707 9708\n9708 9709\n9709 9710\n9710 9711\n9711 9712\n9712 9713\n9713 9714\n9714 9715\n9715 9716\n9716 9717\n9717 9718\n9718 9719\n9719 9720\n9720 9721\n9721 9722\n9722 9723\n9723 9724\n9724 9725\n9725 9726\n9726 9727\n9727 9728\n9728 9729\n9729 9730\n9730 9731\n9731 9732\n9732 9733\n9733 9734\n9734 9735\n9735 9736\n9736 9737\n9737 9738\n9738 9739\n9739 9740\n9740 9741\n9741 9742\n9742 9743\n9743 9744\n9744 9745\n9745 9746\n9746 9747\n9747 9748\n9748 9749\n9749 9750\n9750 9751\n9751 9752\n9752 9753\n9753 9754\n9754 9755\n9755 9756\n9756 9757\n9757 9758\n9758 9759\n9759 9760\n9760 9761\n9761 9762\n9762 9763\n9763 9764\n9764 9765\n9765 9766\n9766 9767\n9767 9768\n9768 9769\n9769 9770\n9770 9771\n9771 9772\n9772 9773\n9773 9774\n9774 9775\n9775 9776\n9776 9777\n9777 9778\n9778 9779\n9779 9780\n9780 9781\n9781 9782\n9782 9783\n9783 9784\n9784 9785\n9785 9786\n9786 9787\n9787 9788\n9788 9789\n9789 9790\n9790 9791\n9791 9792\n9792 9793\n9793 9794\n9794 9795\n9795 9796\n9796 9797\n9797 9798\n9798 9799\n9799 9800\n9800 9801\n9801 9802\n9802 9803\n9803 9804\n9804 9805\n9805 9806\n9806 9807\n9807 9808\n9808 9809\n9809 9810\n9810 9811\n9811 9812\n9812 9813\n9813 9814\n9814 9815\n9815 9816\n9816 9817\n9817 9818\n9818 9819\n9819 9820\n9820 9821\n9821 9822\n9822 9823\n9823 9824\n9824 9825\n9825 9826\n9826 9827\n9827 9828\n9828 9829\n9829 9830\n9830 9831\n9831 9832\n9832 9833\n9833 9834\n9834 9835\n9835 9836\n9836 9837\n9837 9838\n9838 9839\n9839 9840\n9840 9841\n9841 9842\n9842 9843\n9843 9844\n9844 9845\n9845 9846\n9846 9847\n9847 9848\n9848 9849\n9849 9850\n9850 9851\n9851 9852\n9852 9853\n9853 9854\n9854 9855\n9855 9856\n9856 9857\n9857 9858\n9858 9859\n9859 9860\n9860 9861\n9861 9862\n9862 9863\n9863 9864\n9864 9865\n9865 9866\n9866 9867\n9867 9868\n9868 9869\n9869 9870\n9870 9871\n9871 9872\n9872 9873\n9873 9874\n9874 9875\n9875 9876\n9876 9877\n9877 9878\n9878 9879\n9879 9880\n9880 9881\n9881 9882\n9882 9883\n9883 9884\n9884 9885\n9885 9886\n9886 9887\n9887 9888\n9888 9889\n9889 9890\n9890 9891\n9891 9892\n9892 9893\n9893 9894\n9894 9895\n9895 9896\n9896 9897\n9897 9898\n9898 9899\n9899 9900\n9900 9901\n9901 9902\n9902 9903\n9903 9904\n9904 9905\n9905 9906\n9906 9907\n9907 9908\n9908 9909\n9909 9910\n9910 9911\n9911 9912\n9912 9913\n9913 9914\n9914 9915\n9915 9916\n9916 9917\n9917 9918\n9918 9919\n9919 9920\n9920 9921\n9921 9922\n9922 9923\n9923 9924\n9924 9925\n9925 9926\n9926 9927\n9927 9928\n9928 9929\n9929 9930\n9930 9931\n9931 9932\n9932 9933\n9933 9934\n9934 9935\n9935 9936\n9936 9937\n9937 9938\n9938 9939\n9939 9940\n9940 9941\n9941 9942\n9942 9943\n9943 9944\n9944 9945\n9945 9946\n9946 9947\n9947 9948\n9948 9949\n9949 9950\n9950 9951\n9951 9952\n9952 9953\n9953 9954\n9954 9955\n9955 9956\n9956 9957\n9957 9958\n9958 9959\n9959 9960\n9960 9961\n9961 9962\n9962 9963\n9963 9964\n9964 9965\n9965 9966\n9966 9967\n9967 9968\n9968 9969\n9969 9970\n9970 9971\n9971 9972\n9972 9973\n9973 9974\n9974 9975\n9975 9976\n9976 9977\n9977 9978\n9978 9979\n9979 9980\n9980 9981\n9981 9982\n9982 9983\n9983 9984\n9984 9985\n9985 9986\n9986 9987\n9987 9988\n9988 9989\n9989 9990\n9990 9991\n9991 9992\n9992 9993\n9993 9994\n9994 9995\n9995 9996\n9996 9997\n9997 9998\n9998 9999\n9999 10000\n10000 10001\n10001 10002\n10002 10003\n10003 10004\n10004 10005\n10005 10006\n10006 10007\n10007 10008\n10008 10009\n10009 10010\n10010 10011\n10011 10012\n10012 10013\n10013 10014\n10014 10015\n10015 10016\n10016 10017\n10017 10018\n10018 10019\n10019 10020\n10020 10021\n10021 10022\n10022 10023\n10023 10024\n10024 10025\n10025 10026\n10026 10027\n10027 10028\n10028 10029\n10029 10030\n10030 10031\n10031 10032\n10032 10033\n10033 10034\n10034 10035\n10035 10036\n10036 10037\n10037 10038\n10038 10039\n10039 10040\n10040 10041\n10041 10042\n10042 10043\n10043 10044\n10044 10045\n10045 10046\n10046 10047\n10047 10048\n10048 10049\n10049 10050\n10050 10051\n10051 10052\n10052 10053\n10053 10054\n10054 10055\n10055 10056\n10056 10057\n10057 10058\n10058 10059\n10059 10060\n10060 10061\n10061 10062\n10062 10063\n10063 10064\n10064 10065\n10065 10066\n10066 10067\n10067 10068\n10068 10069\n10069 10070\n10070 10071\n10071 10072\n10072 10073\n10073 10074\n10074 10075\n10075 10076\n10076 10077\n10077 10078\n10078 10079\n10079 10080\n10080 10081\n10081 10082\n10082 10083\n10083 10084\n10084 10085\n10085 10086\n10086 10087\n10087 10088\n10088 10089\n10089 10090\n10090 10091\n10091 10092\n10092 10093\n10093 10094\n10094 10095\n10095 10096\n10096 10097\n10097 10098\n10098 10099\n10099 10100\n10100 10101\n10101 10102\n10102 10103\n10103 10104\n10104 10105\n10105 10106\n10106 10107\n10107 10108\n10108 10109\n10109 10110\n10110 10111\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 1027\n1027 1028\n1028 1029\n1029 1030\n1030 1031\n1031 1032\n1032 1033\n1033 1034\n1034 1035\n1035 1036\n1036 1037\n1037 1038\n1038 1039\n1039 1040\n1040 1041\n1041 1042\n1042 1043\n1043 1044\n1044 1045\n1045 1046\n1046 1047\n1047 1048\n1048 1049\n1049 1050\n1050 1051\n1051 1052\n1052 1053\n1053 1054\n1054 1055\n1055 1056\n1056 1057\n1057 1058\n1058 1059\n1059 1060\n1060 1061\n1061 1062\n1062 1063\n1063 1064\n1064 1065\n1065 1066\n1066 1067\n1067 1068\n1068 1069\n1069 1070\n1070 1071\n1071 1072\n1072 1073\n1073 1074\n1074 1075\n1075 1076\n1076 1077\n1077 1078\n1078 1079\n1079 1080\n1080 1081\n1081 1082\n1082 1083\n1083 1084\n1084 1085\n1085 1086\n1086 1087\n1087 1088\n1088 1089\n1089 1090\n1090 1091\n1091 1092\n1092 1093\n1093 1094\n1094 1095\n1095 1096\n1096 1097\n1097 1098\n1098 1099\n1099 1100\n1100 1101\n1101 1102\n1102 1103\n1103 1104\n1104 1105\n1105 1106\n1106 1107\n1107 1108\n1108 1109\n1109 1110\n1110 1111\n1111 1112\n1112 1113\n1113 1114\n1114 1115\n1115 1116\n1116 1117\n1117 1118\n1118 1119\n1119 1120\n1120 1121\n1121 1122\n1122 1123\n1123 1124\n1124 1125\n1125 1126\n1126 1127\n1127 1128\n1128 1129\n1129 1130\n1130 1131\n1131 1132\n1132 1133\n1133 1134\n1134 1135\n1135 1136\n1136 1137\n1137 1138\n1138 1139\n1139 1140\n1140 1141\n1141 1142\n1142 1143\n1143 1144\n1144 1145\n1145 1146\n1146 1147\n1147 1148\n1148 1149\n1149 1150\n1150 1151\n1151 1152\n1152 1153\n1153 1154\n1154 1155\n1155 1156\n1156 1157\n1157 1158\n1158 1159\n1159 1160\n1160 1161\n1161 1162\n1162 1163\n1163 1164\n1164 1165\n1165 1166\n1166 1167\n1167 1168\n1168 1169\n1169 1170\n1170 1171\n1171 1172\n1172 1173\n1173 1174\n1174 1175\n1175 1176\n1176 1177\n1177 1178\n1178 1179\n1179 1180\n1180 1181\n1181 1182\n1182 1183\n1183 1184\n1184 1185\n1185 1186\n1186 1187\n1187 1188\n1188 1189\n1189 1190\n1190 1191\n1191 1192\n1192 1193\n1193 1194\n1194 1195\n1195 1196\n1196 1197\n1197 1198\n1198 1199\n1199 1200\n1200 1201\n1201 1202\n1202 1203\n1203 1204\n1204 1205\n1205 1206\n1206 1207\n1207 1208\n1208 1209\n1209 1210\n1210 1211\n1211 1212\n1212 1213\n1213 1214\n1214 1215\n1215 1216\n1216 1217\n1217 1218\n1218 1219\n1219 1220\n1220 1221\n1221 1222\n1222 1223\n1223 1224\n1224 1225\n1225 1226\n1226 1227\n1227 1228\n1228 1229\n1229 1230\n1230 1231\n1231 1232\n1232 1233\n1233 1234\n1234 1235\n1235 1236\n1236 1237\n1237 1238\n1238 1239\n1239 1240\n1240 1241\n1241 1242\n1242 1243\n1243 1244\n1244 1245\n1245 1246\n1246 1247\n1247 1248\n1248 1249\n1249 1250\n1250 1251\n1251 1252\n1252 1253\n1253 1254\n1254 1255\n1255 1256\n1256 1257\n1257 1258\n1258 1259\n1259 1260\n1260 1261\n1261 1262\n1262 1263\n1263 1264\n1264 1265\n1265 1266\n1266 1267\n1267 1268\n1268 1269\n1269 1270\n1270 1271\n1271 1272\n1272 1273\n1273 1274\n1274 1275\n1275 1276\n1276 1277\n1277 1278\n1278 1279\n1279 1280\n1280 1281\n1281 1282\n1282 1283\n1283 1284\n1284 1285\n1285 1286\n1286 1287\n1287 1288\n1288 1289\n1289 1290\n1290 1291\n1291 1292\n1292 1293\n1293 1294\n1294 1295\n1295 1296\n1296 1297\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 1027\n1027 1028\n1028 1029\n1029 1030\n1030 1031\n1031 1032\n1032 1033\n1033 1034\n1034 1035\n1035 1036\n1036 1037\n1037 1038\n1038 1039\n1039 1040\n1040 1041\n1041 1042\n1042 1043\n1043 1044\n1044 1045\n1045 1046\n1046 1047\n1047 1048\n1048 1049\n1049 1050\n1050 1051\n1051 1052\n1052 1053\n1053 1054\n1054 1055\n1055 1056\n1056 1057\n1057 1058\n1058 1059\n1059 1060\n1060 1061\n1061 1062\n1062 1063\n1063 1064\n1064 1065\n1065 1066\n1066 1067\n1067 1068\n1068 1069\n1069 1070\n1070 1071\n1071 1072\n1072 1073\n1073 1074\n1074 1075\n1075 1076\n1076 1077\n1077 1078\n1078 1079\n1079 1080\n1080 1081\n1081 1082\n1082 1083\n1083 1084\n1084 1085\n1085 1086\n1086 1087\n1087 1088\n1088 1089\n1089 1090\n1090 1091\n1091 1092\n1092 1093\n1093 1094\n1094 1095\n1095 1096\n1096 1097\n1097 1098\n1098 1099\n1099 1100\n1100 1101\n1101 1102\n1102 1103\n1103 1104\n1104 1105\n1105 1106\n1106 1107\n1107 1108\n1108 1109\n1109 1110\n1110 1111\n1111 1112\n1112 1113\n1113 1114\n1114 1115\n1115 1116\n1116 1117\n1117 1118\n1118 1119\n1119 1120\n1120 1121\n1121 1122\n1122 1123\n1123 1124\n1124 1125\n1125 1126\n1126 1127\n1127 1128\n1128 1129\n1129 1130\n1130 1131\n1131 1132\n1132 1133\n1133 1134\n1134 1135\n1135 1136\n1136 1137\n1137 1138\n1138 1139\n1139 1140\n1140 1141\n1141 1142\n1142 1143\n1143 1144\n1144 1145\n1145 1146\n1146 1147\n1147 1148\n1148 1149\n1149 1150\n1150 1151\n1151 1152\n1152 1153\n1153 1154\n1154 1155\n1155 1156\n1156 1157\n1157 1158\n1158 1159\n1159 1160\n1160 1161\n1161 1162\n1162 1163\n1163 1164\n1164 1165\n1165 1166\n1166 1167\n1167 1168\n1168 1169\n1169 1170\n1170 1171\n1171 1172\n1172 1173\n1173 1174\n1174 1175\n1175 1176\n1176 1177\n1177 1178\n1178 1179\n1179 1180\n1180 1181\n1181 1182\n1182 1183\n1183 1184\n1184 1185\n1185 1186\n1186 1187\n1187 1188\n1188 1189\n1189 1190\n1190 1191\n1191 1192\n1192 1193\n1193 1194\n1194 1195\n1195 1196\n1196 1197\n1197 1198\n1198 1199\n1199 1200\n1200 1201\n1201 1202\n1202 1203\n1203 1204\n1204 1205\n1205 1206\n1206 1207\n1207 1208\n1208 1209\n1209 1210\n1210 1211\n1211 1212\n1212 1213\n1213 1214\n1214 1215\n1215 1216\n1216 1217\n1217 1218\n1218 1219\n1219 1220\n1220 1221\n1221 1222\n1222 1223\n1223 1224\n1224 1225\n1225 1226\n1226 1227\n1227 1228\n1228 1229\n1229 1230\n1230 1231\n1231 1232\n1232 1233\n1233 1234\n1234 1235\n1235 1236\n1236 1237\n1237 1238\n1238 1239\n1239 1240\n1240 1241\n1241 1242\n1242 1243\n1243 1244\n1244 1245\n1245 1246\n1246 1247\n1247 1248\n1248 1249\n1249 1250\n1250 1251\n1251 1252\n1252 1253\n1253 1254\n1254 1255\n1255 1256\n1256 1257\n1257 1258\n1258 1259\n1259 1260\n1260 1261\n1261 1262\n1262 1263\n1263 1264\n1264 1265\n1265 1266\n1266 1267\n1267 1268\n1268 1269\n1269 1270\n1270 1271\n1271 1272\n1272 1273\n1273 1274\n1274 1275\n1275 1276\n1276 1277\n1277 1278\n1278 1279\n1279 1280\n1280 1281\n1281 1282\n1282 1283\n1283 1284\n1284 1285\n1285 1286\n1286 1287\n1287 1288\n1288 1289\n1289 1290\n1290 1291\n1291 1292\n1292 1293\n1293 1294\n1294 1295\n1295 1296\n1296 1297\n1297 1298\n1298 1299\n1299 1300\n1300 1301\n1301 1302\n1302 1303\n1303 1304\n1304 1305\n1305 1306\n1306 1307\n1307 1308\n1308 1309\n1309 1310\n1310 1311\n1311 1312\n1312 1313\n1313 1314\n1314 1315\n1315 1316\n1316 1317\n1317 1318\n1318 1319\n1319 1320\n1320 1321\n1321 1322\n1322 1323\n1323 1324\n1324 1325\n1325 1326\n1326 1327\n1327 1328\n1328 1329\n1329 1330\n1330 1331\n1331 1332\n1332 1333\n1333 1334\n1334 1335\n1335 1336\n1336 1337\n1337 1338\n1338 1339\n1339 1340\n1340 1341\n1341 1342\n1342 1343\n1343 1344\n1344 1345\n1345 1346\n1346 1347\n1347 1348\n1348 1349\n1349 1350\n1350 1351\n1351 1352\n1352 1353\n1353 1354\n1354 1355\n1355 1356\n1356 1357\n1357 1358\n1358 1359\n1359 1360\n1360 1361\n1361 1362\n1362 1363\n1363 1364\n1364 1365\n1365 1366\n1366 1367\n1367 1368\n1368 1369\n1369 1370\n1370 1371\n1371 1372\n1372 1373\n1373 1374\n1374 1375\n1375 1376\n1376 1377\n1377 1378\n1378 1379\n1379 1380\n1380 1381\n1381 1382\n1382 1383\n1383 1384\n1384 1385\n1385 1386\n1386 1387\n1387 1388\n1388 1389\n1389 1390\n1390 1391\n1391 1392\n1392 1393\n1393 1394\n1394 1395\n1395 1396\n1396 1397\n1397 1398\n1398 1399\n1399 1400\n1400 1401\n1401 1402\n1402 1403\n1403 1404\n1404 1405\n1405 1406\n1406 1407\n1407 1408\n1408 1409\n1409 1410\n1410 1411\n1411 1412\n1412 1413\n1413 1414\n1414 1415\n1415 1416\n1416 1417\n1417 1418\n1418 1419\n1419 1420\n1420 1421\n1421 1422\n1422 1423\n1423 1424\n1424 1425\n1425 1426\n1426 1427\n1427 1428\n1428 1429\n1429 1430\n1430 1431\n1431 1432\n1432 1433\n1433 1434\n1434 1435\n1435 1436\n1436 1437\n1437 1438\n1438 1439\n1439 1440\n1440 1441\n1441 1442\n1442 1443\n1443 1444\n1444 1445\n1445 1446\n1446 1447\n1447 1448\n1448 1449\n1449 1450\n1450 1451\n1451 1452\n1452 1453\n1453 1454\n1454 1455\n1455 1456\n1456 1457\n1457 1458\n1458 1459\n1459 1460\n1460 1461\n1461 1462\n1462 1463\n1463 1464\n1464 1465\n1465 1466\n1466 1467\n1467 1468\n1468 1469\n1469 1470\n1470 1471\n1471 1472\n1472 1473\n1473 1474\n1474 1475\n1475 1476\n1476 1477\n1477 1478\n1478 1479\n1479 1480\n1480 1481\n1481 1482\n1482 1483\n1483 1484\n1484 1485\n1485 1486\n1486 1487\n1487 1488\n1488 1489\n1489 1490\n1490 1491\n1491 1492\n1492 1493\n1493 1494\n1494 1495\n1495 1496\n1496 1497\n1497 1498\n1498 1499\n1499 1500\n1500 1501\n1501 1502\n1502 1503\n1503 1504\n1504 1505\n1505 1506\n1506 1507\n1507 1508\n1508 1509\n1509 1510\n1510 1511\n1511 1512\n1512 1513\n1513 1514\n1514 1515\n1515 1516\n1516 1517\n1517 1518\n1518 1519\n1519 1520\n1520 1521\n1521 1522\n1522 1523\n1523 1524\n1524 1525\n1525 1526\n1526 1527\n1527 1528\n1528 1529\n1529 1530\n1530 1531\n1531 1532\n1532 1533\n1533 1534\n1534 1535\n1535 1536\n1536 1537\n1537 1538\n1538 1539\n1539 1540\n1540 1541\n1541 1542\n1542 1543\n1543 1544\n1544 1545\n1545 1546\n1546 1547\n1547 1548\n1548 1549\n1549 1550\n1550 1551\n1551 1552\n1552 1553\n1553 1554\n1554 1555\n1555 1556\n1556 1557\n1557 1558\n1558 1559\n1559 1560\n1560 1561\n1561 1562\n1562 1563\n1563 1564\n1564 1565\n1565 1566\n1566 1567\n1567 1568\n1568 1569\n1569 1570\n1570 1571\n1571 1572\n1572 1573\n1573 1574\n1574 1575\n1575 1576\n1576 1577\n1577 1578\n1578 1579\n1579 1580\n1580 1581\n1581 1582\n1582 1583\n1583 1584\n1584 1585\n1585 1586\n1586 1587\n1587 1588\n1588 1589\n1589 1590\n1590 1591\n1591 1592\n1592 1593\n1593 1594\n1594 1595\n1595 1596\n1596 1597\n1597 1598\n1598 1599\n1599 1600\n1600 1601\n1601 1602\n1602 1603\n1603 1604\n1604 1605\n1605 1606\n1606 1607\n1607 1608\n1608 1609\n1609 1610\n1610 1611\n1611 1612\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 3125\n2 3126\n2 3127\n2 3128\n2 3129\n2 3130\n2 3131\n2 3132\n2 3133\n2 3134\n2 3135\n2 3136\n2 3137\n2 3138\n2 3139\n2 3140\n2 3141\n2 3142\n2 3143\n2 3144\n2 3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n2 3213\n2 3214\n2 3215\n2 3216\n2 3217\n2 3218\n2 3219\n2 3220\n2 3221\n2 3222\n2 3223\n2 3224\n2 3225\n2 3226\n2 3227\n2 3228\n2 3229\n2 3230\n2 3231\n2 3232\n2 3233\n2 3234\n2 3235\n2 3236\n2 3237\n2 3238\n2 3239\n2 3240\n2 3241\n2 3242\n2 3243\n2 3244\n2 3245\n2 3246\n2 3247\n2 3248\n2 3249\n2 3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 3295\n2 3296\n2 3297\n2 3298\n2 3299\n2 3300\n2 3301\n2 3302\n2 3303\n2 3304\n2 3305\n2 3306\n2 3307\n2 3308\n2 3309\n2 3310\n2 3311\n2 3312\n2 3313\n2 3314\n2 3315\n2 3316\n2 3317\n2 3318\n2 3319\n2 3320\n2 3321\n2 3322\n2 3323\n2 3324\n2 3325\n2 3326\n2 3327\n2 3328\n2 3329\n2 3330\n2 3331\n2 3332\n2 3333\n2 3334\n2 3335\n2 3336\n2 3337\n2 3338\n2 3339\n2 3340\n2 3341\n2 3342\n2 3343\n2 3344\n2 3345\n2 3346\n2 3347\n2 3348\n2 3349\n2 3350\n2 3351\n2 3352\n2 3353\n2 3354\n2 3355\n2 3356\n2 3357\n2 3358\n2 3359\n2 3360\n2 3361\n2 3362\n2 3363\n2 3364\n2 3365\n2 3366\n2 3367\n2 3368\n2 3369\n2 3370\n2 3371\n2 3372\n2 3373\n2 3374\n2 3375\n2 3376\n2 3377\n2 3378\n2 3379\n2 3380\n2 3381\n2 3382\n2 3383\n2 3384\n2 3385\n2 3386\n2 3387\n2 3388\n2 3389\n2 3390\n2 3391\n2 3392\n2 3393\n2 3394\n2 3395\n2 3396\n2 3397\n2 3398\n2 3399\n2 3400\n2 3401\n2 3402\n2 3403\n2 3404\n2 3405\n2 3406\n2 3407\n2 3408\n2 3409\n2 3410\n2 3411\n2 3412\n2 3413\n2 3414\n2 3415\n2 3416\n2 3417\n2 3418\n2 3419\n2 3420\n2 3421\n2 3422\n2 3423\n2 3424\n2 3425\n2 3426\n2 3427\n2 3428\n2 3429\n2 3430\n2 3431\n2 3432\n2 3433\n2 3434\n2 3435\n2 3436\n2 3437\n2 3438\n2 3439\n2 3440\n2 3441\n2 3442\n2 3443\n2 3444\n2 3445\n2 3446\n2 3447\n2 3448\n2 3449\n2 3450\n2 3451\n2 3452\n2 3453\n2 3454\n2 3455\n2 3456\n2 3457\n2 3458\n2 3459\n2 3460\n2 3461\n2 3462\n2 3463\n2 3464\n2 3465\n2 3466\n2 3467\n2 3468\n2 3469\n2 3470\n2 3471\n2 3472\n2 3473\n2 3474\n2 3475\n2 3476\n2 3477\n2 3478\n2 3479\n2 3480\n2 3481\n2 3482\n2 3483\n2 3484\n2 3485\n2 3486\n2 3487\n2 3488\n2 3489\n2 3490\n2 3491\n2 3492\n2 3493\n2 3494\n2 3495\n2 3496\n2 3497\n2 3498\n2 3499\n2 3500\n2 3501\n2 3502\n2 3503\n2 3504\n2 3505\n2 3506\n2 3507\n2 3508\n2 3509\n2 3510\n2 3511\n2 3512\n2 3513\n2 3514\n2 3515\n2 3516\n2 3517\n2 3518\n2 3519\n2 3520\n2 3521\n2 3522\n2 3523\n2 3524\n2 3525\n2 3526\n2 3527\n2 3528\n2 3529\n2 3530\n2 3531\n2 3532\n2 3533\n2 3534\n2 3535\n2 3536\n2 3537\n2 3538\n2 3539\n2 3540\n2 3541\n2 3542\n2 3543\n2 3544\n2 3545\n2 3546\n2 3547\n2 3548\n2 3549\n2 3550\n2 3551\n2 3552\n2 3553\n2 3554\n2 3555\n2 3556\n2 3557\n2 3558\n2 3559\n2 3560\n2 3561\n2 3562\n2 3563\n2 3564\n2 3565\n2 3566\n2 3567\n2 3568\n2 3569\n2 3570\n2 3571\n2 3572\n2 3573\n2 3574\n2 3575\n2 3576\n2 3577\n2 3578\n2 3579\n2 3580\n2 3581\n2 3582\n2 3583\n2 3584\n2 3585\n2 3586\n2 3587\n2 3588\n2 3589\n2 3590\n2 3591\n2 3592\n2 3593\n2 3594\n2 3595\n2 3596\n2 3597\n2 3598\n2 3599\n2 3600\n2 3601\n2 3602\n2 3603\n2 3604\n2 3605\n2 3606\n2 3607\n2 3608\n2 3609\n2 3610\n2 3611\n2 3612\n2 3613\n2 3614\n2 3615\n2 3616\n2 3617\n2 3618\n2 3619\n2 3620\n2 3621\n2 3622\n2 3623\n2 3624\n2 3625\n2 3626\n2 3627\n2 3628\n2 3629\n2 3630\n2 3631\n2 3632\n2 3633\n2 3634\n2 3635\n2 3636\n2 3637\n2 3638\n2 3639\n2 3640\n2 3641\n2 3642\n2 3643\n2 3644\n2 3645\n2 3646\n2 3647\n2 3648\n2 3649\n2 3650\n2 3651\n2 3652\n2 3653\n2 3654\n2 3655\n2 3656\n2 3657\n2 3658\n2 3659\n2 3660\n2 3661\n2 3662\n2 3663\n2 3664\n2 3665\n2 3666\n2 3667\n2 3668\n2 3669\n2 3670\n2 3671\n2 3672\n2 3673\n2 3674\n2 3675\n2 3676\n2 3677\n2 3678\n2 3679\n2 3680\n2 3681\n2 3682\n2 3683\n2 3684\n2 3685\n2 3686\n2 3687\n2 3688\n2 3689\n2 3690\n2 3691\n2 3692\n2 3693\n2 3694\n2 3695\n2 3696\n2 3697\n2 3698\n2 3699\n2 3700\n2 3701\n2 3702\n2 3703\n2 3704\n2 3705\n2 3706\n2 3707\n2 3708\n2 3709\n2 3710\n2 3711\n2 3712\n2 3713\n2 3714\n2 3715\n2 3716\n2 3717\n2 3718\n2 3719\n2 3720\n2 3721\n2 3722\n2 3723\n2 3724\n2 3725\n2 3726\n2 3727\n2 3728\n2 3729\n2 3730\n2 3731\n2 3732\n2 3733\n2 3734\n2 3735\n2 3736\n2 3737\n2 3738\n2 3739\n2 3740\n2 3741\n2 3742\n2 3743\n2 3744\n2 3745\n2 3746\n2 3747\n2 3748\n2 3749\n2 3750\n2 3751\n2 3752\n2 3753\n2 3754\n2 3755\n2 3756\n2 3757\n2 3758\n2 3759\n2 3760\n2 3761\n2 3762\n2 3763\n2 3764\n2 3765\n2 3766\n2 3767\n2 3768\n2 3769\n2 3770\n2 3771\n2 3772\n2 3773\n2 3774\n2 3775\n2 3776\n2 3777\n2 3778\n2 3779\n2 3780\n2 3781\n2 3782\n2 3783\n2 3784\n2 3785\n2 3786\n2 3787\n2 3788\n2 3789\n2 3790\n2 3791\n2 3792\n2 3793\n2 3794\n2 3795\n2 3796\n2 3797\n2 3798\n2 3799\n2 3800\n2 3801\n2 3802\n2 3803\n2 3804\n2 3805\n2 3806\n2 3807\n2 3808\n2 3809\n2 3810\n2 3811\n2 3812\n2 3813\n2 3814\n2 3815\n2 3816\n2 3817\n2 3818\n2 3819\n2 3820\n2 3821\n2 3822\n2 3823\n2 3824\n2 3825\n2 3826\n2 3827\n2 3828\n2 3829\n2 3830\n2 3831\n2 3832\n2 3833\n2 3834\n2 3835\n2 3836\n2 3837\n2 3838\n2 3839\n2 3840\n2 3841\n2 3842\n2 3843\n2 3844\n2 3845\n2 3846\n2 3847\n2 3848\n2 3849\n2 3850\n2 3851\n2 3852\n2 3853\n2 3854\n2 3855\n2 3856\n2 3857\n2 3858\n2 3859\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 1027\n1027 1028\n1028 1029\n1029 1030\n1030 1031\n1031 1032\n1032 1033\n1033 1034\n1034 1035\n1035 1036\n1036 1037\n1037 1038\n1038 1039\n1039 1040\n1040 1041\n1041 1042\n1042 1043\n1043 1044\n1044 1045\n1045 1046\n1046 1047\n1047 1048\n1048 1049\n1049 1050\n1050 1051\n1051 1052\n1052 1053\n1053 1054\n1054 1055\n1055 1056\n1056 1057\n1057 1058\n1058 1059\n1059 1060\n1060 1061\n1061 1062\n1062 1063\n1063 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1155\n1155 1156\n1156 1157\n1157 1158\n1158 1159\n1159 1160\n1160 1161\n1161 1162\n1162 1163\n1163 1164\n1164 1165\n1165 1166\n1166 1167\n1167 1168\n1168 1169\n1169 1170\n1170 1171\n1171 1172\n1172 1173\n1173 1174\n1174 1175\n1175 1176\n1176 1177\n1177 1178\n1178 1179\n1179 1180\n1180 1181\n1181 1182\n1182 1183\n1183 1184\n1184 1185\n1185 1186\n1186 1187\n1187 1188\n1188 1189\n1189 1190\n1190 1191\n1191 1192\n1192 1193\n1193 1194\n1194 1195\n1195 1196\n1196 1197\n1197 1198\n1198 1199\n1199 1200\n1200 1201\n1201 1202\n1202 1203\n1203 1204\n1204 1205\n1205 1206\n1206 1207\n1207 1208\n1208 1209\n1209 1210\n1210 1211\n1211 1212\n1212 1213\n1213 1214\n1214 1215\n1215 1216\n1216 1217\n1217 1218\n1218 1219\n1219 1220\n1220 1221\n1221 1222\n1222 1223\n1223 1224\n1224 1225\n1225 1226\n1226 1227\n1227 1228\n1228 1229\n1229 1230\n1230 1231\n1231 1232\n1232 1233\n1233 1234\n1234 1235\n1235 1236\n1236 1237\n1237 1238\n1238 1239\n1239 1240\n1240 1241\n1241 1242\n1242 1243\n1243 1244\n1244 1245\n1245 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3157\n3157 3158\n3158 3159\n3159 3160\n3160 3161\n3161 3162\n3162 3163\n3163 3164\n3164 3165\n3165 3166\n3166 3167\n3167 3168\n3168 3169\n3169 3170\n3170 3171\n3171 3172\n3172 3173\n3173 3174\n3174 3175\n3175 3176\n3176 3177\n3177 3178\n3178 3179\n3179 3180\n3180 3181\n3181 3182\n3182 3183\n3183 3184\n3184 3185\n3185 3186\n3186 3187\n3187 3188\n3188 3189\n3189 3190\n3190 3191\n3191 3192\n3192 3193\n3193 3194\n3194 3195\n3195 3196\n3196 3197\n3197 3198\n3198 3199\n3199 3200\n3200 3201\n3201 3202\n3202 3203\n3203 3204\n3204 3205\n3205 3206\n3206 3207\n3207 3208\n3208 3209\n3209 3210\n3210 3211\n3211 3212\n3212 3213\n3213 3214\n3214 3215\n3215 3216\n3216 3217\n3217 3218\n3218 3219\n3219 3220\n3220 3221\n3221 3222\n3222 3223\n3223 3224\n3224 3225\n3225 3226\n3226 3227\n3227 3228\n3228 3229\n3229 3230\n3230 3231\n3231 3232\n3232 3233\n3233 3234\n3234 3235\n3235 3236\n3236 3237\n3237 3238\n3238 3239\n3239 3240\n3240 3241\n3241 3242\n3242 3243\n3243 3244\n3244 3245\n3245 3246\n3246 3247\n3247 3248\n3248 3249\n3249 3250\n3250 3251\n3251 3252\n3252 3253\n3253 3254\n3254 3255\n3255 3256\n3256 3257\n3257 3258\n3258 3259\n3259 3260\n3260 3261\n3261 3262\n3262 3263\n3263 3264\n3264 3265\n3265 3266\n3266 3267\n3267 3268\n3268 3269\n3269 3270\n3270 3271\n3271 3272\n3272 3273\n3273 3274\n3274 3275\n3275 3276\n3276 3277\n3277 3278\n3278 3279\n3279 3280\n3280 3281\n3281 3282\n3282 3283\n3283 3284\n3284 3285\n3285 3286\n3286 3287\n3287 3288\n3288 3289\n3289 3290\n3290 3291\n3291 3292\n3292 3293\n3293 3294\n3294 3295\n3295 3296\n3296 3297\n3297 3298\n3298 3299\n3299 3300\n3300 3301\n3301 3302\n3302 3303\n3303 3304\n3304 3305\n3305 3306\n3306 3307\n3307 3308\n3308 3309\n3309 3310\n3310 3311\n3311 3312\n3312 3313\n3313 3314\n3314 3315\n3315 3316\n3316 3317\n3317 3318\n3318 3319\n3319 3320\n3320 3321\n3321 3322\n3322 3323\n3323 3324\n3324 3325\n3325 3326\n3326 3327\n3327 3328\n3328 3329\n3329 3330\n3330 3331\n3331 3332\n3332 3333\n3333 3334\n3334 3335\n3335 3336\n3336 3337\n3337 3338\n3338 3339\n3339 3340\n3340 3341\n3341 3342\n3342 3343\n3343 3344\n3344 3345\n3345 3346\n3346 3347\n3347 3348\n3348 3349\n3349 3350\n3350 3351\n3351 3352\n3352 3353\n3353 3354\n3354 3355\n3355 3356\n3356 3357\n3357 3358\n3358 3359\n3359 3360\n3360 3361\n3361 3362\n3362 3363\n3363 3364\n3364 3365\n3365 3366\n3366 3367\n3367 3368\n3368 3369\n3369 3370\n3370 3371\n3371 3372\n3372 3373\n3373 3374\n3374 3375\n3375 3376\n3376 3377\n3377 3378\n3378 3379\n3379 3380\n3380 3381\n3381 3382\n3382 3383\n3383 3384\n3384 3385\n3385 3386\n3386 3387\n3387 3388\n3388 3389\n3389 3390\n3390 3391\n3391 3392\n3392 3393\n3393 3394\n3394 3395\n3395 3396\n3396 3397\n3397 3398\n3398 3399\n3399 3400\n3400 3401\n3401 3402\n3402 3403\n3403 3404\n3404 3405\n3405 3406\n3406 3407\n3407 3408\n3408 3409\n3409 3410\n3410 3411\n3411 3412\n3412 3413\n3413 3414\n3414 3415\n3415 3416\n3416 3417\n3417 3418\n3418 3419\n3419 3420\n3420 3421\n3421 3422\n3422 3423\n3423 3424\n3424 3425\n3425 3426\n3426 3427\n3427 3428\n3428 3429\n3429 3430\n3430 3431\n3431 3432\n3432 3433\n3433 3434\n3434 3435\n3435 3436\n3436 3437\n3437 3438\n3438 3439\n3439 3440\n3440 3441\n3441 3442\n3442 3443\n3443 3444\n3444 3445\n3445 3446\n3446 3447\n3447 3448\n3448 3449\n3449 3450\n3450 3451\n3451 3452\n3452 3453\n3453 3454\n3454 3455\n3455 3456\n3456 3457\n3457 3458\n3458 3459\n3459 3460\n3460 3461\n3461 3462\n3462 3463\n3463 3464\n3464 3465\n3465 3466\n3466 3467\n3467 3468\n3468 3469\n3469 3470\n3470 3471\n3471 3472\n3472 3473\n3473 3474\n3474 3475\n3475 3476\n3476 3477\n3477 3478\n3478 3479\n3479 3480\n3480 3481\n3481 3482\n3482 3483\n3483 3484\n3484 3485\n3485 3486\n3486 3487\n3487 3488\n3488 3489\n3489 3490\n3490 3491\n3491 3492\n3492 3493\n3493 3494\n3494 3495\n3495 3496\n3496 3497\n3497 3498\n3498 3499\n3499 3500\n3500 3501\n3501 3502\n3502 3503\n3503 3504\n3504 3505\n3505 3506\n3506 3507\n3507 3508\n3508 3509\n3509 3510\n3510 3511\n3511 3512\n3512 3513\n3513 3514\n3514 3515\n3515 3516\n3516 3517\n3517 3518\n3518 3519\n3519 3520\n3520 3521\n3521 3522\n3522 3523\n3523 3524\n3524 3525\n3525 3526\n3526 3527\n3527 3528\n3528 3529\n3529 3530\n3530 3531\n3531 3532\n3532 3533\n3533 3534\n3534 3535\n3535 3536\n3536 3537\n3537 3538\n3538 3539\n3539 3540\n3540 3541\n3541 3542\n3542 3543\n3543 3544\n3544 3545\n3545 3546\n3546 3547\n3547 3548\n3548 3549\n3549 3550\n3550 3551\n3551 3552\n3552 3553\n3553 3554\n3554 3555\n3555 3556\n3556 3557\n3557 3558\n3558 3559\n3559 3560\n3560 3561\n3561 3562\n3562 3563\n3563 3564\n3564 3565\n3565 3566\n3566 3567\n3567 3568\n3568 3569\n3569 3570\n3570 3571\n3571 3572\n3572 3573\n3573 3574\n3574 3575\n3575 3576\n3576 3577\n3577 3578\n3578 3579\n3579 3580\n3580 3581\n3581 3582\n3582 3583\n3583 3584\n3584 3585\n3585 3586\n3586 3587\n3587 3588\n3588 3589\n3589 3590\n3590 3591\n3591 3592\n3592 3593\n3593 3594\n3594 3595\n3595 3596\n3596 3597\n3597 3598\n3598 3599\n3599 3600\n3600 3601\n3601 3602\n3602 3603\n3603 3604\n3604 3605\n3605 3606\n3606 3607\n3607 3608\n3608 3609\n3609 3610\n3610 3611\n3611 3612\n3612 3613\n3613 3614\n3614 3615\n3615 3616\n3616 3617\n3617 3618\n3618 3619\n3619 3620\n3620 3621\n3621 3622\n3622 3623\n3623 3624\n3624 3625\n3625 3626\n3626 3627\n3627 3628\n3628 3629\n3629 3630\n3630 3631\n3631 3632\n3632 3633\n3633 3634\n3634 3635\n3635 3636\n3636 3637\n3637 3638\n3638 3639\n3639 3640\n3640 3641\n3641 3642\n3642 3643\n3643 3644\n3644 3645\n3645 3646\n3646 3647\n3647 3648\n3648 3649\n3649 3650\n3650 3651\n3651 3652\n3652 3653\n3653 3654\n3654 3655\n3655 3656\n3656 3657\n3657 3658\n3658 3659\n3659 3660\n3660 3661\n3661 3662\n3662 3663\n3663 3664\n3664 3665\n3665 3666\n3666 3667\n3667 3668\n3668 3669\n3669 3670\n3670 3671\n3671 3672\n3672 3673\n3673 3674\n3674 3675\n3675 3676\n3676 3677\n3677 3678\n3678 3679\n3679 3680\n3680 3681\n3681 3682\n3682 3683\n3683 3684\n3684 3685\n3685 3686\n3686 3687\n3687 3688\n3688 3689\n3689 3690\n3690 3691\n3691 3692\n3692 3693\n3693 3694\n3694 3695\n3695 3696\n3696 3697\n3697 3698\n3698 3699\n3699 3700\n3700 3701\n3701 3702\n3702 3703\n3703 3704\n3704 3705\n3705 3706\n3706 3707\n3707 3708\n3708 3709\n3709 3710\n3710 3711\n3711 3712\n3712 3713\n3713 3714\n3714 3715\n3715 3716\n3716 3717\n3717 3718\n3718 3719\n3719 3720\n3720 3721\n3721 3722\n3722 3723\n3723 3724\n3724 3725\n3725 3726\n3726 3727\n3727 3728\n3728 3729\n3729 3730\n3730 3731\n3731 3732\n3732 3733\n3733 3734\n3734 3735\n3735 3736\n3736 3737\n3737 3738\n3738 3739\n3739 3740\n3740 3741\n3741 3742\n3742 3743\n3743 3744\n3744 3745\n3745 3746\n3746 3747\n3747 3748\n3748 3749\n3749 3750\n3750 3751\n3751 3752\n3752 3753\n3753 3754\n3754 3755\n3755 3756\n3756 3757\n3757 3758\n3758 3759\n3759 3760\n3760 3761\n3761 3762\n3762 3763\n3763 3764\n3764 3765\n3765 3766\n3766 3767\n3767 3768\n3768 3769\n3769 3770\n3770 3771\n3771 3772\n3772 3773\n3773 3774\n3774 3775\n3775 3776\n3776 3777\n3777 3778\n3778 3779\n3779 3780\n3780 3781\n3781 3782\n3782 3783\n3783 3784\n3784 3785\n3785 3786\n3786 3787\n3787 3788\n3788 3789\n3789 3790\n3790 3791\n3791 3792\n3792 3793\n3793 3794\n3794 3795\n3795 3796\n3796 3797\n3797 3798\n3798 3799\n3799 3800\n3800 3801\n3801 3802\n3802 3803\n3803 3804\n3804 3805\n3805 3806\n3806 3807\n3807 3808\n3808 3809\n3809 3810\n3810 3811\n3811 3812\n3812 3813\n3813 3814\n3814 3815\n3815 3816\n3816 3817\n3817 3818\n3818 3819\n3819 3820\n3820 3821\n3821 3822\n3822 3823\n3823 3824\n3824 3825\n3825 3826\n3826 3827\n3827 3828\n3828 3829\n3829 3830\n3830 3831\n3831 3832\n3832 3833\n3833 3834\n3834 3835\n3835 3836\n3836 3837\n3837 3838\n3838 3839\n3839 3840\n3840 3841\n3841 3842\n3842 3843\n3843 3844\n3844 3845\n3845 3846\n3846 3847\n3847 3848\n3848 3849\n3849 3850\n3850 3851\n3851 3852\n3852 3853\n3853 3854\n3854 3855\n3855 3856\n3856 3857\n3857 3858\n3858 3859\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 3125\n2 3126\n2 3127\n2 3128\n2 3129\n2 3130\n2 3131\n2 3132\n2 3133\n2 3134\n2 3135\n2 3136\n2 3137\n2 3138\n2 3139\n2 3140\n2 3141\n2 3142\n2 3143\n2 3144\n2 3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n2 3213\n2 3214\n2 3215\n2 3216\n2 3217\n2 3218\n2 3219\n2 3220\n2 3221\n2 3222\n2 3223\n2 3224\n2 3225\n2 3226\n2 3227\n2 3228\n2 3229\n2 3230\n2 3231\n2 3232\n2 3233\n2 3234\n2 3235\n2 3236\n2 3237\n2 3238\n2 3239\n2 3240\n2 3241\n2 3242\n2 3243\n2 3244\n2 3245\n2 3246\n2 3247\n2 3248\n2 3249\n2 3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 3295\n2 3296\n2 3297\n2 3298\n2 3299\n2 3300\n2 3301\n2 3302\n2 3303\n2 3304\n2 3305\n2 3306\n2 3307\n2 3308\n2 3309\n2 3310\n2 3311\n2 3312\n2 3313\n2 3314\n2 3315\n2 3316\n2 3317\n2 3318\n2 3319\n2 3320\n2 3321\n2 3322\n2 3323\n2 3324\n2 3325\n2 3326\n2 3327\n2 3328\n2 3329\n2 3330\n2 3331\n2 3332\n2 3333\n2 3334\n2 3335\n2 3336\n2 3337\n2 3338\n2 3339\n2 3340\n2 3341\n2 3342\n2 3343\n2 3344\n2 3345\n2 3346\n2 3347\n2 3348\n2 3349\n2 3350\n2 3351\n2 3352\n2 3353\n2 3354\n2 3355\n2 3356\n2 3357\n2 3358\n2 3359\n2 3360\n2 3361\n2 3362\n2 3363\n2 3364\n2 3365\n2 3366\n2 3367\n2 3368\n2 3369\n2 3370\n2 3371\n2 3372\n2 3373\n2 3374\n2 3375\n2 3376\n2 3377\n2 3378\n2 3379\n2 3380\n2 3381\n2 3382\n2 3383\n2 3384\n2 3385\n2 3386\n2 3387\n2 3388\n2 3389\n2 3390\n2 3391\n2 3392\n2 3393\n2 3394\n2 3395\n2 3396\n2 3397\n2 3398\n2 3399\n2 3400\n2 3401\n2 3402\n2 3403\n2 3404\n2 3405\n2 3406\n2 3407\n2 3408\n2 3409\n2 3410\n2 3411\n2 3412\n2 3413\n2 3414\n2 3415\n2 3416\n2 3417\n2 3418\n2 3419\n2 3420\n2 3421\n2 3422\n2 3423\n2 3424\n2 3425\n2 3426\n2 3427\n2 3428\n2 3429\n2 3430\n2 3431\n2 3432\n2 3433\n2 3434\n2 3435\n2 3436\n2 3437\n2 3438\n2 3439\n2 3440\n2 3441\n2 3442\n2 3443\n2 3444\n2 3445\n2 3446\n2 3447\n2 3448\n2 3449\n2 3450\n2 3451\n2 3452\n2 3453\n2 3454\n2 3455\n2 3456\n2 3457\n2 3458\n2 3459\n2 3460\n2 3461\n2 3462\n2 3463\n2 3464\n2 3465\n2 3466\n2 3467\n2 3468\n2 3469\n2 3470\n2 3471\n2 3472\n2 3473\n2 3474\n2 3475\n2 3476\n2 3477\n2 3478\n2 3479\n2 3480\n2 3481\n2 3482\n2 3483\n2 3484\n2 3485\n2 3486\n2 3487\n2 3488\n2 3489\n2 3490\n2 3491\n2 3492\n2 3493\n2 3494\n2 3495\n2 3496\n2 3497\n2 3498\n2 3499\n2 3500\n2 3501\n2 3502\n2 3503\n2 3504\n2 3505\n2 3506\n2 3507\n2 3508\n2 3509\n2 3510\n2 3511\n2 3512\n2 3513\n2 3514\n2 3515\n2 3516\n2 3517\n2 3518\n2 3519\n2 3520\n2 3521\n2 3522\n2 3523\n2 3524\n2 3525\n2 3526\n2 3527\n2 3528\n2 3529\n2 3530\n2 3531\n2 3532\n2 3533\n2 3534\n2 3535\n2 3536\n2 3537\n2 3538\n2 3539\n2 3540\n2 3541\n2 3542\n2 3543\n2 3544\n2 3545\n2 3546\n2 3547\n2 3548\n2 3549\n2 3550\n2 3551\n2 3552\n2 3553\n2 3554\n2 3555\n2 3556\n2 3557\n2 3558\n2 3559\n2 3560\n2 3561\n2 3562\n2 3563\n2 3564\n2 3565\n2 3566\n2 3567\n2 3568\n2 3569\n2 3570\n2 3571\n2 3572\n2 3573\n2 3574\n2 3575\n2 3576\n2 3577\n2 3578\n2 3579\n2 3580\n2 3581\n2 3582\n2 3583\n2 3584\n2 3585\n2 3586\n2 3587\n2 3588\n2 3589\n2 3590\n2 3591\n2 3592\n2 3593\n2 3594\n2 3595\n2 3596\n2 3597\n2 3598\n2 3599\n2 3600\n2 3601\n2 3602\n2 3603\n2 3604\n2 3605\n2 3606\n2 3607\n2 3608\n2 3609\n2 3610\n2 3611\n2 3612\n2 3613\n2 3614\n2 3615\n2 3616\n2 3617\n2 3618\n2 3619\n2 3620\n2 3621\n2 3622\n2 3623\n2 3624\n2 3625\n2 3626\n2 3627\n2 3628\n2 3629\n2 3630\n2 3631\n2 3632\n2 3633\n2 3634\n2 3635\n2 3636\n2 3637\n2 3638\n2 3639\n2 3640\n2 3641\n2 3642\n2 3643\n2 3644\n2 3645\n2 3646\n2 3647\n2 3648\n2 3649\n2 3650\n2 3651\n2 3652\n2 3653\n2 3654\n2 3655\n2 3656\n2 3657\n2 3658\n2 3659\n2 3660\n2 3661\n2 3662\n2 3663\n2 3664\n2 3665\n2 3666\n2 3667\n2 3668\n2 3669\n2 3670\n2 3671\n2 3672\n2 3673\n2 3674\n2 3675\n2 3676\n2 3677\n2 3678\n2 3679\n2 3680\n2 3681\n2 3682\n2 3683\n2 3684\n2 3685\n2 3686\n2 3687\n2 3688\n2 3689\n2 3690\n2 3691\n2 3692\n2 3693\n2 3694\n2 3695\n2 3696\n2 3697\n2 3698\n2 3699\n2 3700\n2 3701\n2 3702\n2 3703\n2 3704\n2 3705\n2 3706\n2 3707\n2 3708\n2 3709\n2 3710\n2 3711\n2 3712\n2 3713\n2 3714\n2 3715\n2 3716\n2 3717\n2 3718\n2 3719\n2 3720\n2 3721\n2 3722\n2 3723\n2 3724\n2 3725\n2 3726\n2 3727\n2 3728\n2 3729\n2 3730\n2 3731\n2 3732\n2 3733\n2 3734\n2 3735\n2 3736\n2 3737\n2 3738\n2 3739\n2 3740\n2 3741\n2 3742\n2 3743\n2 3744\n2 3745\n2 3746\n2 3747\n2 3748\n2 3749\n2 3750\n2 3751\n2 3752\n2 3753\n2 3754\n2 3755\n2 3756\n2 3757\n2 3758\n2 3759\n2 3760\n2 3761\n2 3762\n2 3763\n2 3764\n2 3765\n2 3766\n2 3767\n2 3768\n2 3769\n2 3770\n2 3771\n2 3772\n2 3773\n2 3774\n2 3775\n2 3776\n2 3777\n2 3778\n2 3779\n2 3780\n2 3781\n2 3782\n2 3783\n2 3784\n2 3785\n2 3786\n2 3787\n2 3788\n2 3789\n2 3790\n2 3791\n2 3792\n2 3793\n2 3794\n2 3795\n2 3796\n2 3797\n2 3798\n2 3799\n2 3800\n2 3801\n2 3802\n2 3803\n2 3804\n2 3805\n2 3806\n2 3807\n2 3808\n2 3809\n2 3810\n2 3811\n2 3812\n2 3813\n2 3814\n2 3815\n2 3816\n2 3817\n2 3818\n2 3819\n2 3820\n2 3821\n2 3822\n2 3823\n2 3824\n2 3825\n2 3826\n2 3827\n2 3828\n2 3829\n2 3830\n2 3831\n2 3832\n2 3833\n2 3834\n2 3835\n2 3836\n2 3837\n2 3838\n2 3839\n2 3840\n2 3841\n2 3842\n2 3843\n2 3844\n2 3845\n2 3846\n2 3847\n2 3848\n2 3849\n2 3850\n2 3851\n2 3852\n2 3853\n2 3854\n2 3855\n2 3856\n2 3857\n2 3858\n2 3859\n2 3860\n2 3861\n2 3862\n2 3863\n2 3864\n2 3865\n2 3866\n2 3867\n2 3868\n2 3869\n2 3870\n2 3871\n2 3872\n2 3873\n2 3874\n2 3875\n2 3876\n2 3877\n2 3878\n2 3879\n2 3880\n2 3881\n2 3882\n2 3883\n2 3884\n2 3885\n2 3886\n2 3887\n2 3888\n2 3889\n2 3890\n2 3891\n2 3892\n2 3893\n2 3894\n2 3895\n2 3896\n2 3897\n2 3898\n2 3899\n2 3900\n2 3901\n2 3902\n2 3903\n2 3904\n2 3905\n2 3906\n2 3907\n2 3908\n2 3909\n2 3910\n2 3911\n2 3912\n2 3913\n2 3914\n2 3915\n2 3916\n2 3917\n2 3918\n2 3919\n2 3920\n2 3921\n2 3922\n2 3923\n2 3924\n2 3925\n2 3926\n2 3927\n2 3928\n2 3929\n2 3930\n2 3931\n2 3932\n2 3933\n2 3934\n2 3935\n2 3936\n2 3937\n2 3938\n2 3939\n2 3940\n2 3941\n2 3942\n2 3943\n2 3944\n2 3945\n2 3946\n2 3947\n2 3948\n2 3949\n2 3950\n2 3951\n2 3952\n2 3953\n2 3954\n2 3955\n2 3956\n2 3957\n2 3958\n2 3959\n2 3960\n2 3961\n2 3962\n2 3963\n2 3964\n2 3965\n2 3966\n2 3967\n2 3968\n2 3969\n2 3970\n2 3971\n2 3972\n2 3973\n2 3974\n2 3975\n2 3976\n2 3977\n2 3978\n2 3979\n2 3980\n2 3981\n2 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564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 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9924\n9924 9925\n9925 9926\n9926 9927\n9927 9928\n9928 9929\n9929 9930\n9930 9931\n9931 9932\n9932 9933\n9933 9934\n9934 9935\n9935 9936\n9936 9937\n9937 9938\n9938 9939\n9939 9940\n9940 9941\n9941 9942\n9942 9943\n9943 9944\n9944 9945\n9945 9946\n9946 9947\n9947 9948\n9948 9949\n9949 9950\n9950 9951\n9951 9952\n9952 9953\n9953 9954\n9954 9955\n9955 9956\n9956 9957\n9957 9958\n9958 9959\n9959 9960\n9960 9961\n9961 9962\n9962 9963\n9963 9964\n9964 9965\n9965 9966\n9966 9967\n9967 9968\n9968 9969\n9969 9970\n9970 9971\n9971 9972\n9972 9973\n9973 9974\n9974 9975\n9975 9976\n9976 9977\n9977 9978\n9978 9979\n9979 9980\n9980 9981\n9981 9982\n9982 9983\n9983 9984\n9984 9985\n9985 9986\n9986 9987\n9987 9988\n9988 9989\n9989 9990\n9990 9991\n9991 9992\n9992 9993\n9993 9994\n9994 9995\n9995 9996\n9996 9997\n9997 9998\n9998 9999\n9999 10000\n10000 10001\n10001 10002\n10002 10003\n10003 10004\n10004 10005\n10005 10006\n10006 10007\n10007 10008\n10008 10009\n10009 10010\n10010 10011\n10011 10012\n10012 10013\n10013 10014\n10014 10015\n10015 10016\n10016 10017\n10017 10018\n10018 10019\n10019 10020\n10020 10021\n10021 10022\n10022 10023\n10023 10024\n10024 10025\n10025 10026\n10026 10027\n10027 10028\n10028 10029\n10029 10030\n10030 10031\n10031 10032\n10032 10033\n10033 10034\n10034 10035\n10035 10036\n10036 10037\n10037 10038\n10038 10039\n10039 10040\n10040 10041\n10041 10042\n10042 10043\n10043 10044\n10044 10045\n10045 10046\n10046 10047\n10047 10048\n10048 10049\n10049 10050\n10050 10051\n10051 10052\n10052 10053\n10053 10054\n10054 10055\n10055 10056\n10056 10057\n10057 10058\n10058 10059\n10059 10060\n10060 10061\n10061 10062\n10062 10063\n10063 10064\n10064 10065\n10065 10066\n10066 10067\n10067 10068\n10068 10069\n10069 10070\n10070 10071\n10071 10072\n10072 10073\n10073 10074\n10074 10075\n10075 10076\n10076 10077\n10077 10078\n10078 10079\n10079 10080\n10080 10081\n10081 10082\n10082 10083\n10083 10084\n10084 10085\n10085 10086\n10086 10087\n10087 10088\n10088 10089\n10089 10090\n10090 10091\n10091 10092\n10092 10093\n10093 10094\n10094 10095\n10095 10096\n10096 10097\n10097 10098\n10098 10099\n10099 10100\n10100 10101\n10101 10102\n10102 10103\n10103 10104\n10104 10105\n10105 10106\n10106 10107\n10107 10108\n10108 10109\n10109 10110\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 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671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 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893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 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1367\n1367 1368\n1368 1369\n1369 1370\n1370 1371\n1371 1372\n1372 1373\n1373 1374\n1374 1375\n1375 1376\n1376 1377\n1377 1378\n1378 1379\n1379 1380\n1380 1381\n1381 1382\n1382 1383\n1383 1384\n1384 1385\n1385 1386\n1386 1387\n1387 1388\n1388 1389\n1389 1390\n1390 1391\n1391 1392\n1392 1393\n1393 1394\n1394 1395\n1395 1396\n1396 1397\n1397 1398\n1398 1399\n1399 1400\n1400 1401\n1401 1402\n1402 1403\n1403 1404\n1404 1405\n1405 1406\n1406 1407\n1407 1408\n1408 1409\n1409 1410\n1410 1411\n1411 1412\n1412 1413\n1413 1414\n1414 1415\n1415 1416\n1416 1417\n1417 1418\n1418 1419\n1419 1420\n1420 1421\n1421 1422\n1422 1423\n1423 1424\n1424 1425\n1425 1426\n1426 1427\n1427 1428\n1428 1429\n1429 1430\n1430 1431\n1431 1432\n1432 1433\n1433 1434\n1434 1435\n1435 1436\n1436 1437\n1437 1438\n1438 1439\n1439 1440\n1440 1441\n1441 1442\n1442 1443\n1443 1444\n1444 1445\n1445 1446\n1446 1447\n1447 1448\n1448 1449\n1449 1450\n1450 1451\n1451 1452\n1452 1453\n1453 1454\n1454 1455\n1455 1456\n1456 1457\n1457 1458\n1458 1459\n1459 1460\n1460 1461\n1461 1462\n1462 1463\n1463 1464\n1464 1465\n1465 1466\n1466 1467\n1467 1468\n1468 1469\n1469 1470\n1470 1471\n1471 1472\n1472 1473\n1473 1474\n1474 1475\n1475 1476\n1476 1477\n1477 1478\n1478 1479\n1479 1480\n1480 1481\n1481 1482\n1482 1483\n1483 1484\n1484 1485\n1485 1486\n1486 1487\n1487 1488\n1488 1489\n1489 1490\n1490 1491\n1491 1492\n1492 1493\n1493 1494\n1494 1495\n1495 1496\n1496 1497\n1497 1498\n1498 1499\n1499 1500\n1500 1501\n1501 1502\n1502 1503\n1503 1504\n1504 1505\n1505 1506\n1506 1507\n1507 1508\n1508 1509\n1509 1510\n1510 1511\n1511 1512\n1512 1513\n1513 1514\n1514 1515\n1515 1516\n1516 1517\n1517 1518\n1518 1519\n1519 1520\n1520 1521\n1521 1522\n1522 1523\n1523 1524\n1524 1525\n1525 1526\n1526 1527\n1527 1528\n1528 1529\n1529 1530\n1530 1531\n1531 1532\n1532 1533\n1533 1534\n1534 1535\n1535 1536\n1536 1537\n1537 1538\n1538 1539\n1539 1540\n1540 1541\n1541 1542\n1542 1543\n1543 1544\n1544 1545\n1545 1546\n1546 1547\n1547 1548\n1548 1549\n1549 1550\n1550 1551\n1551 1552\n1552 1553\n1553 1554\n1554 1555\n1555 1556\n1556 1557\n1557 1558\n1558 1559\n1559 1560\n1560 1561\n1561 1562\n1562 1563\n1563 1564\n1564 1565\n1565 1566\n1566 1567\n1567 1568\n1568 1569\n1569 1570\n1570 1571\n1571 1572\n1572 1573\n1573 1574\n1574 1575\n1575 1576\n1576 1577\n1577 1578\n1578 1579\n1579 1580\n1580 1581\n1581 1582\n1582 1583\n1583 1584\n1584 1585\n1585 1586\n1586 1587\n1587 1588\n1588 1589\n1589 1590\n1590 1591\n1591 1592\n1592 1593\n1593 1594\n1594 1595\n1595 1596\n1596 1597\n1597 1598\n1598 1599\n1599 1600\n1600 1601\n1601 1602\n1602 1603\n1603 1604\n1604 1605\n1605 1606\n1606 1607\n1607 1608\n1608 1609\n1609 1610\n1610 1611\n1611 1612\n1612 1613\n1613 1614\n1614 1615\n1615 1616\n1616 1617\n1617 1618\n1618 1619\n1619 1620\n1620 1621\n1621 1622\n1622 1623\n1623 1624\n1624 1625\n1625 1626\n1626 1627\n1627 1628\n1628 1629\n1629 1630\n1630 1631\n1631 1632\n1632 1633\n1633 1634\n1634 1635\n1635 1636\n1636 1637\n1637 1638\n1638 1639\n1639 1640\n1640 1641\n1641 1642\n1642 1643\n1643 1644\n1644 1645\n1645 1646\n1646 1647\n1647 1648\n1648 1649\n1649 1650\n1650 1651\n1651 1652\n1652 1653\n1653 1654\n1654 1655\n1655 1656\n1656 1657\n1657 1658\n1658 1659\n1659 1660\n1660 1661\n1661 1662\n1662 1663\n1663 1664\n1664 1665\n1665 1666\n1666 1667\n1667 1668\n1668 1669\n1669 1670\n1670 1671\n1671 1672\n1672 1673\n1673 1674\n1674 1675\n1675 1676\n1676 1677\n1677 1678\n1678 1679\n1679 1680\n1680 1681\n1681 1682\n1682 1683\n1683 1684\n1684 1685\n1685 1686\n1686 1687\n1687 1688\n1688 1689\n1689 1690\n1690 1691\n1691 1692\n1692 1693\n1693 1694\n1694 1695\n1695 1696\n1696 1697\n1697 1698\n1698 1699\n1699 1700\n1700 1701\n1701 1702\n1702 1703\n1703 1704\n1704 1705\n1705 1706\n1706 1707\n1707 1708\n1708 1709\n1709 1710\n1710 1711\n1711 1712\n1712 1713\n1713 1714\n1714 1715\n1715 1716\n1716 1717\n1717 1718\n1718 1719\n1719 1720\n1720 1721\n1721 1722\n1722 1723\n1723 1724\n1724 1725\n1725 1726\n1726 1727\n1727 1728\n1728 1729\n1729 1730\n1730 1731\n1731 1732\n1732 1733\n1733 1734\n1734 1735\n1735 1736\n1736 1737\n1737 1738\n1738 1739\n1739 1740\n1740 1741\n1741 1742\n1742 1743\n1743 1744\n1744 1745\n1745 1746\n1746 1747\n1747 1748\n1748 1749\n1749 1750\n1750 1751\n1751 1752\n1752 1753\n1753 1754\n1754 1755\n1755 1756\n1756 1757\n1757 1758\n1758 1759\n1759 1760\n1760 1761\n1761 1762\n1762 1763\n1763 1764\n1764 1765\n1765 1766\n1766 1767\n1767 1768\n1768 1769\n1769 1770\n1770 1771\n1771 1772\n1772 1773\n1773 1774\n1774 1775\n1775 1776\n1776 1777\n1777 1778\n1778 1779\n1779 1780\n1780 1781\n1781 1782\n1782 1783\n1783 1784\n1784 1785\n1785 1786\n1786 1787\n1787 1788\n1788 1789\n1789 1790\n1790 1791\n1791 1792\n1792 1793\n1793 1794\n1794 1795\n1795 1796\n1796 1797\n1797 1798\n1798 1799\n1799 1800\n1800 1801\n1801 1802\n1802 1803\n1803 1804\n1804 1805\n1805 1806\n1806 1807\n1807 1808\n1808 1809\n1809 1810\n1810 1811\n1811 1812\n1812 1813\n1813 1814\n1814 1815\n1815 1816\n1816 1817\n1817 1818\n1818 1819\n1819 1820\n1820 1821\n1821 1822\n1822 1823\n1823 1824\n1824 1825\n1825 1826\n1826 1827\n1827 1828\n1828 1829\n1829 1830\n1830 1831\n1831 1832\n1832 1833\n1833 1834\n1834 1835\n1835 1836\n1836 1837\n1837 1838\n1838 1839\n1839 1840\n1840 1841\n1841 1842\n1842 1843\n1843 1844\n1844 1845\n1845 1846\n1846 1847\n1847 1848\n1848 1849\n1849 1850\n1850 1851\n1851 1852\n1852 1853\n1853 1854\n1854 1855\n1855 1856\n1856 1857\n1857 1858\n1858 1859\n1859 1860\n1860 1861\n1861 1862\n1862 1863\n1863 1864\n1864 1865\n1865 1866\n1866 1867\n1867 1868\n1868 1869\n1869 1870\n1870 1871\n1871 1872\n1872 1873\n1873 1874\n1874 1875\n1875 1876\n1876 1877\n1877 1878\n1878 1879\n1879 1880\n1880 1881\n1881 1882\n1882 1883\n1883 1884\n1884 1885\n1885 1886\n1886 1887\n1887 1888\n1888 1889\n1889 1890\n1890 1891\n1891 1892\n1892 1893\n1893 1894\n1894 1895\n1895 1896\n1896 1897\n1897 1898\n1898 1899\n1899 1900\n1900 1901\n1901 1902\n1902 1903\n1903 1904\n1904 1905\n1905 1906\n1906 1907\n1907 1908\n1908 1909\n1909 1910\n1910 1911\n1911 1912\n1912 1913\n1913 1914\n1914 1915\n1915 1916\n1916 1917\n1917 1918\n1918 1919\n1919 1920\n1920 1921\n1921 1922\n1922 1923\n1923 1924\n1924 1925\n1925 1926\n1926 1927\n1927 1928\n1928 1929\n1929 1930\n1930 1931\n1931 1932\n1932 1933\n1933 1934\n1934 1935\n1935 1936\n1936 1937\n1937 1938\n1938 1939\n1939 1940\n1940 1941\n1941 1942\n1942 1943\n1943 1944\n1944 1945\n1945 1946\n1946 1947\n1947 1948\n1948 1949\n1949 1950\n1950 1951\n1951 1952\n1952 1953\n1953 1954\n1954 1955\n1955 1956\n1956 1957\n1957 1958\n1958 1959\n1959 1960\n1960 1961\n1961 1962\n1962 1963\n1963 1964\n1964 1965\n1965 1966\n1966 1967\n1967 1968\n1968 1969\n1969 1970\n1970 1971\n1971 1972\n1972 1973\n1973 1974\n1974 1975\n1975 1976\n1976 1977\n1977 1978\n1978 1979\n1979 1980\n1980 1981\n1981 1982\n1982 1983\n1983 1984\n1984 1985\n1985 1986\n1986 1987\n1987 1988\n1988 1989\n1989 1990\n1990 1991\n1991 1992\n1992 1993\n1993 1994\n1994 1995\n1995 1996\n1996 1997\n1997 1998\n1998 1999\n1999 2000\n2000 2001\n2001 2002\n2002 2003\n2003 2004\n2004 2005\n2005 2006\n2006 2007\n2007 2008\n2008 2009\n2009 2010\n2010 2011\n2011 2012\n2012 2013\n2013 2014\n2014 2015\n2015 2016\n2016 2017\n2017 2018\n2018 2019\n2019 2020\n2020 2021\n2021 2022\n2022 2023\n2023 2024\n2024 2025\n2025 2026\n2026 2027\n2027 2028\n2028 2029\n2029 2030\n2030 2031\n2031 2032\n2032 2033\n2033 2034\n2034 2035\n2035 2036\n2036 2037\n2037 2038\n2038 2039\n2039 2040\n2040 2041\n2041 2042\n2042 2043\n2043 2044\n2044 2045\n2045 2046\n2046 2047\n2047 2048\n2048 2049\n2049 2050\n2050 2051\n2051 2052\n2052 2053\n2053 2054\n2054 2055\n2055 2056\n2056 2057\n2057 2058\n2058 2059\n2059 2060\n2060 2061\n2061 2062\n2062 2063\n2063 2064\n2064 2065\n2065 2066\n2066 2067\n2067 2068\n2068 2069\n2069 2070\n2070 2071\n2071 2072\n2072 2073\n2073 2074\n2074 2075\n2075 2076\n2076 2077\n2077 2078\n2078 2079\n2079 2080\n2080 2081\n2081 2082\n2082 2083\n2083 2084\n2084 2085\n2085 2086\n2086 2087\n2087 2088\n2088 2089\n2089 2090\n2090 2091\n2091 2092\n2092 2093\n2093 2094\n2094 2095\n2095 2096\n2096 2097\n2097 2098\n2098 2099\n2099 2100\n2100 2101\n2101 2102\n2102 2103\n2103 2104\n2104 2105\n2105 2106\n2106 2107\n2107 2108\n2108 2109\n2109 2110\n2110 2111\n2111 2112\n2112 2113\n2113 2114\n2114 2115\n2115 2116\n2116 2117\n2117 2118\n2118 2119\n2119 2120\n2120 2121\n2121 2122\n2122 2123\n2123 2124\n2124 2125\n2125 2126\n2126 2127\n2127 2128\n2128 2129\n2129 2130\n2130 2131\n2131 2132\n2132 2133\n2133 2134\n2134 2135\n2135 2136\n2136 2137\n2137 2138\n2138 2139\n2139 2140\n2140 2141\n2141 2142\n2142 2143\n2143 2144\n2144 2145\n2145 2146\n2146 2147\n2147 2148\n2148 2149\n2149 2150\n2150 2151\n2151 2152\n2152 2153\n2153 2154\n2154 2155\n2155 2156\n2156 2157\n2157 2158\n2158 2159\n2159 2160\n2160 2161\n2161 2162\n2162 2163\n2163 2164\n2164 2165\n2165 2166\n2166 2167\n2167 2168\n2168 2169\n2169 2170\n2170 2171\n2171 2172\n2172 2173\n2173 2174\n2174 2175\n2175 2176\n2176 2177\n2177 2178\n2178 2179\n2179 2180\n2180 2181\n2181 2182\n2182 2183\n2183 2184\n2184 2185\n2185 2186\n2186 2187\n2187 2188\n2188 2189\n2189 2190\n2190 2191\n2191 2192\n2192 2193\n2193 2194\n2194 2195\n2195 2196\n2196 2197\n2197 2198\n2198 2199\n2199 2200\n2200 2201\n2201 2202\n2202 2203\n2203 2204\n2204 2205\n2205 2206\n2206 2207\n2207 2208\n2208 2209\n2209 2210\n2210 2211\n2211 2212\n2212 2213\n2213 2214\n2214 2215\n2215 2216\n2216 2217\n2217 2218\n2218 2219\n2219 2220\n2220 2221\n2221 2222\n2222 2223\n2223 2224\n2224 2225\n2225 2226\n2226 2227\n2227 2228\n2228 2229\n2229 2230\n2230 2231\n2231 2232\n2232 2233\n2233 2234\n2234 2235\n2235 2236\n2236 2237\n2237 2238\n2238 2239\n2239 2240\n2240 2241\n2241 2242\n2242 2243\n2243 2244\n2244 2245\n2245 2246\n2246 2247\n2247 2248\n2248 2249\n2249 2250\n2250 2251\n2251 2252\n2252 2253\n2253 2254\n2254 2255\n2255 2256\n2256 2257\n2257 2258\n2258 2259\n2259 2260\n2260 2261\n2261 2262\n2262 2263\n2263 2264\n2264 2265\n2265 2266\n2266 2267\n2267 2268\n2268 2269\n2269 2270\n2270 2271\n2271 2272\n2272 2273\n2273 2274\n2274 2275\n2275 2276\n2276 2277\n2277 2278\n2278 2279\n2279 2280\n2280 2281\n2281 2282\n2282 2283\n2283 2284\n2284 2285\n2285 2286\n2286 2287\n2287 2288\n2288 2289\n2289 2290\n2290 2291\n2291 2292\n2292 2293\n2293 2294\n2294 2295\n2295 2296\n2296 2297\n2297 2298\n2298 2299\n2299 2300\n2300 2301\n2301 2302\n2302 2303\n2303 2304\n2304 2305\n2305 2306\n2306 2307\n2307 2308\n2308 2309\n2309 2310\n2310 2311\n2311 2312\n2312 2313\n2313 2314\n2314 2315\n2315 2316\n2316 2317\n2317 2318\n2318 2319\n2319 2320\n2320 2321\n2321 2322\n2322 2323\n2323 2324\n2324 2325\n2325 2326\n2326 2327\n2327 2328\n2328 2329\n2329 2330\n2330 2331\n2331 2332\n2332 2333\n2333 2334\n2334 2335\n2335 2336\n2336 2337\n2337 2338\n2338 2339\n2339 2340\n2340 2341\n2341 2342\n2342 2343\n2343 2344\n2344 2345\n2345 2346\n2346 2347\n2347 2348\n2348 2349\n2349 2350\n2350 2351\n2351 2352\n2352 2353\n2353 2354\n2354 2355\n2355 2356\n2356 2357\n2357 2358\n2358 2359\n2359 2360\n2360 2361\n2361 2362\n2362 2363\n2363 2364\n2364 2365\n2365 2366\n2366 2367\n2367 2368\n2368 2369\n2369 2370\n2370 2371\n2371 2372\n2372 2373\n2373 2374\n2374 2375\n2375 2376\n2376 2377\n2377 2378\n2378 2379\n2379 2380\n2380 2381\n2381 2382\n2382 2383\n2383 2384\n2384 2385\n2385 2386\n2386 2387\n2387 2388\n2388 2389\n2389 2390\n2390 2391\n2391 2392\n2392 2393\n2393 2394\n2394 2395\n2395 2396\n2396 2397\n2397 2398\n2398 2399\n2399 2400\n2400 2401\n2401 2402\n2402 2403\n2403 2404\n2404 2405\n2405 2406\n2406 2407\n2407 2408\n2408 2409\n2409 2410\n2410 2411\n2411 2412\n2412 2413\n2413 2414\n2414 2415\n2415 2416\n2416 2417\n2417 2418\n2418 2419\n2419 2420\n2420 2421\n2421 2422\n2422 2423\n2423 2424\n2424 2425\n2425 2426\n2426 2427\n2427 2428\n2428 2429\n2429 2430\n2430 2431\n2431 2432\n2432 2433\n2433 2434\n2434 2435\n2435 2436\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 3125\n2 3126\n2 3127\n2 3128\n2 3129\n2 3130\n2 3131\n2 3132\n2 3133\n2 3134\n2 3135\n2 3136\n2 3137\n2 3138\n2 3139\n2 3140\n2 3141\n2 3142\n2 3143\n2 3144\n2 3145\n2 3146\n2 3147\n2 3148\n2 3149\n2 3150\n2 3151\n2 3152\n2 3153\n2 3154\n2 3155\n2 3156\n2 3157\n2 3158\n2 3159\n2 3160\n2 3161\n2 3162\n2 3163\n2 3164\n2 3165\n2 3166\n2 3167\n2 3168\n2 3169\n2 3170\n2 3171\n2 3172\n2 3173\n2 3174\n2 3175\n2 3176\n2 3177\n2 3178\n2 3179\n2 3180\n2 3181\n2 3182\n2 3183\n2 3184\n2 3185\n2 3186\n2 3187\n2 3188\n2 3189\n2 3190\n2 3191\n2 3192\n2 3193\n2 3194\n2 3195\n2 3196\n2 3197\n2 3198\n2 3199\n2 3200\n2 3201\n2 3202\n2 3203\n2 3204\n2 3205\n2 3206\n2 3207\n2 3208\n2 3209\n2 3210\n2 3211\n2 3212\n2 3213\n2 3214\n2 3215\n2 3216\n2 3217\n2 3218\n2 3219\n2 3220\n2 3221\n2 3222\n2 3223\n2 3224\n2 3225\n2 3226\n2 3227\n2 3228\n2 3229\n2 3230\n2 3231\n2 3232\n2 3233\n2 3234\n2 3235\n2 3236\n2 3237\n2 3238\n2 3239\n2 3240\n2 3241\n2 3242\n2 3243\n2 3244\n2 3245\n2 3246\n2 3247\n2 3248\n2 3249\n2 3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 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3920\n2 3921\n2 3922\n2 3923\n2 3924\n2 3925\n2 3926\n2 3927\n2 3928\n2 3929\n2 3930\n2 3931\n2 3932\n2 3933\n2 3934\n2 3935\n2 3936\n2 3937\n2 3938\n2 3939\n2 3940\n2 3941\n2 3942\n2 3943\n2 3944\n2 3945\n2 3946\n2 3947\n2 3948\n2 3949\n2 3950\n2 3951\n2 3952\n2 3953\n2 3954\n2 3955\n2 3956\n2 3957\n2 3958\n2 3959\n2 3960\n2 3961\n2 3962\n2 3963\n2 3964\n2 3965\n2 3966\n2 3967\n2 3968\n2 3969\n2 3970\n2 3971\n2 3972\n2 3973\n2 3974\n2 3975\n2 3976\n2 3977\n2 3978\n2 3979\n2 3980\n2 3981\n2 3982\n2 3983\n2 3984\n2 3985\n2 3986\n2 3987\n2 3988\n2 3989\n2 3990\n2 3991\n2 3992\n2 3993\n2 3994\n2 3995\n2 3996\n2 3997\n2 3998\n2 3999\n2 4000\n2 4001\n2 4002\n2 4003\n2 4004\n2 4005\n2 4006\n2 4007\n2 4008\n2 4009\n2 4010\n2 4011\n2 4012\n2 4013\n2 4014\n2 4015\n2 4016\n2 4017\n2 4018\n2 4019\n2 4020\n2 4021\n2 4022\n2 4023\n2 4024\n2 4025\n2 4026\n2 4027\n2 4028\n2 4029\n2 4030\n2 4031\n2 4032\n2 4033\n2 4034\n2 4035\n2 4036\n2 4037\n2 4038\n2 4039\n2 4040\n2 4041\n2 4042\n2 4043\n2 4044\n2 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256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 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5668\n5668 5669\n5669 5670\n5670 5671\n5671 5672\n5672 5673\n5673 5674\n5674 5675\n5675 5676\n5676 5677\n5677 5678\n5678 5679\n5679 5680\n5680 5681\n5681 5682\n5682 5683\n5683 5684\n5684 5685\n5685 5686\n5686 5687\n5687 5688\n5688 5689\n5689 5690\n5690 5691\n5691 5692\n5692 5693\n5693 5694\n5694 5695\n5695 5696\n5696 5697\n5697 5698\n5698 5699\n5699 5700\n5700 5701\n5701 5702\n5702 5703\n5703 5704\n5704 5705\n5705 5706\n5706 5707\n5707 5708\n5708 5709\n5709 5710\n5710 5711\n5711 5712\n5712 5713\n5713 5714\n5714 5715\n5715 5716\n5716 5717\n5717 5718\n5718 5719\n5719 5720\n5720 5721\n5721 5722\n5722 5723\n5723 5724\n5724 5725\n5725 5726\n5726 5727\n5727 5728\n5728 5729\n5729 5730\n5730 5731\n5731 5732\n5732 5733\n5733 5734\n5734 5735\n5735 5736\n5736 5737\n5737 5738\n5738 5739\n5739 5740\n5740 5741\n5741 5742\n5742 5743\n5743 5744\n5744 5745\n5745 5746\n5746 5747\n5747 5748\n5748 5749\n5749 5750\n5750 5751\n5751 5752\n5752 5753\n5753 5754\n5754 5755\n5755 5756\n5756 5757\n5757 5758\n5758 5759\n5759 5760\n5760 5761\n5761 5762\n5762 5763\n5763 5764\n5764 5765\n5765 5766\n5766 5767\n5767 5768\n5768 5769\n5769 5770\n5770 5771\n5771 5772\n5772 5773\n5773 5774\n5774 5775\n5775 5776\n5776 5777\n5777 5778\n5778 5779\n5779 5780\n5780 5781\n5781 5782\n5782 5783\n5783 5784\n5784 5785\n5785 5786\n5786 5787\n5787 5788\n5788 5789\n5789 5790\n5790 5791\n5791 5792\n5792 5793\n5793 5794\n5794 5795\n5795 5796\n5796 5797\n5797 5798\n5798 5799\n5799 5800\n5800 5801\n5801 5802\n5802 5803\n5803 5804\n5804 5805\n5805 5806\n5806 5807\n5807 5808\n5808 5809\n5809 5810\n5810 5811\n5811 5812\n5812 5813\n5813 5814\n5814 5815\n5815 5816\n5816 5817\n5817 5818\n5818 5819\n5819 5820\n5820 5821\n5821 5822\n5822 5823\n5823 5824\n5824 5825\n5825 5826\n5826 5827\n5827 5828\n5828 5829\n5829 5830\n5830 5831\n5831 5832\n5832 5833\n5833 5834\n5834 5835\n5835 5836\n5836 5837\n5837 5838\n5838 5839\n5839 5840\n5840 5841\n5841 5842\n5842 5843\n5843 5844\n5844 5845\n5845 5846\n5846 5847\n5847 5848\n5848 5849\n5849 5850\n5850 5851\n5851 5852\n5852 5853\n5853 5854\n5854 5855\n5855 5856\n5856 5857\n5857 5858\n5858 5859\n5859 5860\n5860 5861\n5861 5862\n5862 5863\n5863 5864\n5864 5865\n5865 5866\n5866 5867\n5867 5868\n5868 5869\n5869 5870\n5870 5871\n5871 5872\n5872 5873\n5873 5874\n5874 5875\n5875 5876\n5876 5877\n5877 5878\n5878 5879\n5879 5880\n5880 5881\n5881 5882\n5882 5883\n5883 5884\n5884 5885\n5885 5886\n5886 5887\n5887 5888\n5888 5889\n5889 5890\n5890 5891\n5891 5892\n5892 5893\n5893 5894\n5894 5895\n5895 5896\n5896 5897\n5897 5898\n5898 5899\n5899 5900\n5900 5901\n5901 5902\n5902 5903\n5903 5904\n5904 5905\n5905 5906\n5906 5907\n5907 5908\n5908 5909\n5909 5910\n5910 5911\n5911 5912\n5912 5913\n5913 5914\n5914 5915\n5915 5916\n5916 5917\n5917 5918\n5918 5919\n5919 5920\n5920 5921\n5921 5922\n5922 5923\n5923 5924\n5924 5925\n5925 5926\n5926 5927\n5927 5928\n5928 5929\n5929 5930\n5930 5931\n5931 5932\n5932 5933\n5933 5934\n5934 5935\n5935 5936\n5936 5937\n5937 5938\n5938 5939\n5939 5940\n5940 5941\n5941 5942\n5942 5943\n5943 5944\n5944 5945\n5945 5946\n5946 5947\n5947 5948\n5948 5949\n5949 5950\n5950 5951\n5951 5952\n5952 5953\n5953 5954\n5954 5955\n5955 5956\n5956 5957\n5957 5958\n5958 5959\n5959 5960\n5960 5961\n5961 5962\n5962 5963\n5963 5964\n5964 5965\n5965 5966\n5966 5967\n5967 5968\n5968 5969\n5969 5970\n5970 5971\n5971 5972\n5972 5973\n5973 5974\n5974 5975\n5975 5976\n5976 5977\n5977 5978\n5978 5979\n5979 5980\n5980 5981\n5981 5982\n5982 5983\n5983 5984\n5984 5985\n5985 5986\n5986 5987\n5987 5988\n5988 5989\n5989 5990\n5990 5991\n5991 5992\n5992 5993\n5993 5994\n5994 5995\n5995 5996\n5996 5997\n5997 5998\n5998 5999\n5999 6000\n6000 6001\n6001 6002\n6002 6003\n6003 6004\n6004 6005\n6005 6006\n6006 6007\n6007 6008\n6008 6009\n6009 6010\n6010 6011\n6011 6012\n6012 6013\n6013 6014\n6014 6015\n6015 6016\n6016 6017\n6017 6018\n6018 6019\n6019 6020\n6020 6021\n6021 6022\n6022 6023\n6023 6024\n6024 6025\n6025 6026\n6026 6027\n6027 6028\n6028 6029\n6029 6030\n6030 6031\n6031 6032\n6032 6033\n6033 6034\n6034 6035\n6035 6036\n6036 6037\n6037 6038\n6038 6039\n6039 6040\n6040 6041\n6041 6042\n6042 6043\n6043 6044\n6044 6045\n6045 6046\n6046 6047\n6047 6048\n6048 6049\n6049 6050\n6050 6051\n6051 6052\n6052 6053\n6053 6054\n6054 6055\n6055 6056\n6056 6057\n6057 6058\n6058 6059\n6059 6060\n6060 6061\n6061 6062\n6062 6063\n6063 6064\n6064 6065\n6065 6066\n6066 6067\n6067 6068\n6068 6069\n6069 6070\n6070 6071\n6071 6072\n6072 6073\n6073 6074\n6074 6075\n6075 6076\n6076 6077\n6077 6078\n6078 6079\n6079 6080\n6080 6081\n6081 6082\n6082 6083\n6083 6084\n6084 6085\n6085 6086\n6086 6087\n6087 6088\n6088 6089\n6089 6090\n6090 6091\n6091 6092\n6092 6093\n6093 6094\n6094 6095\n6095 6096\n6096 6097\n6097 6098\n6098 6099\n6099 6100\n6100 6101\n6101 6102\n6102 6103\n6103 6104\n6104 6105\n6105 6106\n6106 6107\n6107 6108\n6108 6109\n6109 6110\n6110 6111\n6111 6112\n6112 6113\n6113 6114\n6114 6115\n6115 6116\n6116 6117\n6117 6118\n6118 6119\n6119 6120\n6120 6121\n6121 6122\n6122 6123\n6123 6124\n6124 6125\n6125 6126\n6126 6127\n6127 6128\n6128 6129\n6129 6130\n6130 6131\n6131 6132\n6132 6133\n6133 6134\n6134 6135\n6135 6136\n6136 6137\n6137 6138\n6138 6139\n6139 6140\n6140 6141\n6141 6142\n6142 6143\n6143 6144\n6144 6145\n6145 6146\n6146 6147\n6147 6148\n6148 6149\n6149 6150\n6150 6151\n6151 6152\n6152 6153\n6153 6154\n6154 6155\n6155 6156\n6156 6157\n6157 6158\n6158 6159\n6159 6160\n6160 6161\n6161 6162\n6162 6163\n6163 6164\n6164 6165\n6165 6166\n6166 6167\n6167 6168\n6168 6169\n6169 6170\n6170 6171\n6171 6172\n6172 6173\n6173 6174\n6174 6175\n6175 6176\n6176 6177\n6177 6178\n6178 6179\n6179 6180\n6180 6181\n6181 6182\n6182 6183\n6183 6184\n6184 6185\n6185 6186\n6186 6187\n6187 6188\n6188 6189\n6189 6190\n6190 6191\n6191 6192\n6192 6193\n6193 6194\n6194 6195\n6195 6196\n6196 6197\n6197 6198\n6198 6199\n6199 6200\n6200 6201\n6201 6202\n6202 6203\n6203 6204\n6204 6205\n6205 6206\n6206 6207\n6207 6208\n6208 6209\n6209 6210\n6210 6211\n6211 6212\n6212 6213\n6213 6214\n6214 6215\n6215 6216\n6216 6217\n6217 6218\n6218 6219\n6219 6220\n6220 6221\n6221 6222\n6222 6223\n6223 6224\n6224 6225\n6225 6226\n6226 6227\n6227 6228\n6228 6229\n6229 6230\n6230 6231\n6231 6232\n6232 6233\n6233 6234\n6234 6235\n6235 6236\n6236 6237\n6237 6238\n6238 6239\n6239 6240\n6240 6241\n6241 6242\n6242 6243\n6243 6244\n6244 6245\n6245 6246\n6246 6247\n6247 6248\n6248 6249\n6249 6250\n6250 6251\n6251 6252\n6252 6253\n6253 6254\n6254 6255\n6255 6256\n6256 6257\n6257 6258\n6258 6259\n6259 6260\n6260 6261\n6261 6262\n6262 6263\n6263 6264\n6264 6265\n6265 6266\n6266 6267\n6267 6268\n6268 6269\n6269 6270\n6270 6271\n6271 6272\n6272 6273\n6273 6274\n6274 6275\n6275 6276\n6276 6277\n6277 6278\n6278 6279\n6279 6280\n6280 6281\n6281 6282\n6282 6283\n6283 6284\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 1027\n1027 1028\n1028 1029\n1029 1030\n1030 1031\n1031 1032\n1032 1033\n1033 1034\n1034 1035\n1035 1036\n1036 1037\n1037 1038\n1038 1039\n1039 1040\n1040 1041\n1041 1042\n1042 1043\n1043 1044\n1044 1045\n1045 1046\n1046 1047\n1047 1048\n1048 1049\n1049 1050\n1050 1051\n1051 1052\n1052 1053\n1053 1054\n1054 1055\n1055 1056\n1056 1057\n1057 1058\n1058 1059\n1059 1060\n1060 1061\n1061 1062\n1062 1063\n1063 1064\n1064 1065\n1065 1066\n1066 1067\n1067 1068\n1068 1069\n1069 1070\n1070 1071\n1071 1072\n1072 1073\n1073 1074\n1074 1075\n1075 1076\n1076 1077\n1077 1078\n1078 1079\n1079 1080\n1080 1081\n1081 1082\n1082 1083\n1083 1084\n1084 1085\n1085 1086\n1086 1087\n1087 1088\n1088 1089\n1089 1090\n1090 1091\n1091 1092\n1092 1093\n1093 1094\n1094 1095\n1095 1096\n1096 1097\n1097 1098\n1098 1099\n1099 1100\n1100 1101\n1101 1102\n1102 1103\n1103 1104\n1104 1105\n1105 1106\n1106 1107\n1107 1108\n1108 1109\n1109 1110\n1110 1111\n1111 1112\n1112 1113\n1113 1114\n1114 1115\n1115 1116\n1116 1117\n1117 1118\n1118 1119\n1119 1120\n1120 1121\n1121 1122\n1122 1123\n1123 1124\n1124 1125\n1125 1126\n1126 1127\n1127 1128\n1128 1129\n1129 1130\n1130 1131\n1131 1132\n1132 1133\n1133 1134\n1134 1135\n1135 1136\n1136 1137\n1137 1138\n1138 1139\n1139 1140\n1140 1141\n1141 1142\n1142 1143\n1143 1144\n1144 1145\n1145 1146\n1146 1147\n1147 1148\n1148 1149\n1149 1150\n1150 1151\n1151 1152\n1152 1153\n1153 1154\n1154 1155\n1155 1156\n1156 1157\n1157 1158\n1158 1159\n1159 1160\n1160 1161\n1161 1162\n1162 1163\n1163 1164\n1164 1165\n1165 1166\n1166 1167\n1167 1168\n1168 1169\n1169 1170\n1170 1171\n1171 1172\n1172 1173\n1173 1174\n1174 1175\n1175 1176\n1176 1177\n1177 1178\n1178 1179\n1179 1180\n1180 1181\n1181 1182\n1182 1183\n1183 1184\n1184 1185\n1185 1186\n1186 1187\n1187 1188\n1188 1189\n1189 1190\n1190 1191\n1191 1192\n1192 1193\n1193 1194\n1194 1195\n1195 1196\n1196 1197\n1197 1198\n1198 1199\n1199 1200\n1200 1201\n1201 1202\n1202 1203\n1203 1204\n1204 1205\n1205 1206\n1206 1207\n1207 1208\n1208 1209\n1209 1210\n1210 1211\n1211 1212\n1212 1213\n1213 1214\n1214 1215\n1215 1216\n1216 1217\n1217 1218\n1218 1219\n1219 1220\n1220 1221\n1221 1222\n1222 1223\n1223 1224\n1224 1225\n1225 1226\n1226 1227\n1227 1228\n1228 1229\n1229 1230\n1230 1231\n1231 1232\n1232 1233\n1233 1234\n1234 1235\n1235 1236\n1236 1237\n1237 1238\n1238 1239\n1239 1240\n1240 1241\n1241 1242\n1242 1243\n1243 1244\n1244 1245\n1245 1246\n1246 1247\n1247 1248\n1248 1249\n1249 1250\n1250 1251\n1251 1252\n1252 1253\n1253 1254\n1254 1255\n1255 1256\n1256 1257\n1257 1258\n1258 1259\n1259 1260\n1260 1261\n1261 1262\n1262 1263\n1263 1264\n1264 1265\n1265 1266\n1266 1267\n1267 1268\n1268 1269\n1269 1270\n1270 1271\n1271 1272\n1272 1273\n1273 1274\n1274 1275\n1275 1276\n1276 1277\n1277 1278\n1278 1279\n1279 1280\n1280 1281\n1281 1282\n1282 1283\n1283 1284\n1284 1285\n1285 1286\n1286 1287\n1287 1288\n1288 1289\n1289 1290\n1290 1291\n1291 1292\n1292 1293\n1293 1294\n1294 1295\n1295 1296\n1296 1297\n1297 1298\n1298 1299\n1299 1300\n1300 1301\n1301 1302\n1302 1303\n1303 1304\n1304 1305\n1305 1306\n1306 1307\n1307 1308\n1308 1309\n1309 1310\n1310 1311\n1311 1312\n1312 1313\n1313 1314\n1314 1315\n1315 1316\n1316 1317\n1317 1318\n1318 1319\n1319 1320\n1320 1321\n1321 1322\n1322 1323\n1323 1324\n1324 1325\n1325 1326\n1326 1327\n1327 1328\n1328 1329\n1329 1330\n1330 1331\n1331 1332\n1332 1333\n1333 1334\n1334 1335\n1335 1336\n1336 1337\n1337 1338\n1338 1339\n1339 1340\n1340 1341\n1341 1342\n1342 1343\n1343 1344\n1344 1345\n1345 1346\n1346 1347\n1347 1348\n1348 1349\n1349 1350\n1350 1351\n1351 1352\n1352 1353\n1353 1354\n1354 1355\n1355 1356\n1356 1357\n1357 1358\n1358 1359\n1359 1360\n1360 1361\n1361 1362\n1362 1363\n1363 1364\n1364 1365\n1365 1366\n1366 1367\n1367 1368\n1368 1369\n1369 1370\n1370 1371\n1371 1372\n1372 1373\n1373 1374\n1374 1375\n1375 1376\n1376 1377\n1377 1378\n1378 1379\n1379 1380\n1380 1381\n1381 1382\n1382 1383\n1383 1384\n1384 1385\n1385 1386\n1386 1387\n1387 1388\n1388 1389\n1389 1390\n1390 1391\n1391 1392\n1392 1393\n1393 1394\n1394 1395\n1395 1396\n1396 1397\n1397 1398\n1398 1399\n1399 1400\n1400 1401\n1401 1402\n1402 1403\n1403 1404\n1404 1405\n1405 1406\n1406 1407\n1407 1408\n1408 1409\n1409 1410\n1410 1411\n1411 1412\n1412 1413\n1413 1414\n1414 1415\n1415 1416\n1416 1417\n1417 1418\n1418 1419\n1419 1420\n1420 1421\n1421 1422\n1422 1423\n1423 1424\n1424 1425\n1425 1426\n1426 1427\n1427 1428\n1428 1429\n1429 1430\n1430 1431\n1431 1432\n1432 1433\n1433 1434\n1434 1435\n1435 1436\n1436 1437\n1437 1438\n1438 1439\n1439 1440\n1440 1441\n1441 1442\n1442 1443\n1443 1444\n1444 1445\n1445 1446\n1446 1447\n1447 1448\n1448 1449\n1449 1450\n1450 1451\n1451 1452\n1452 1453\n1453 1454\n1454 1455\n1455 1456\n1456 1457\n1457 1458\n1458 1459\n1459 1460\n1460 1461\n1461 1462\n1462 1463\n1463 1464\n1464 1465\n1465 1466\n1466 1467\n1467 1468\n1468 1469\n1469 1470\n1470 1471\n1471 1472\n1472 1473\n1473 1474\n1474 1475\n1475 1476\n1476 1477\n1477 1478\n1478 1479\n1479 1480\n1480 1481\n1481 1482\n1482 1483\n1483 1484\n1484 1485\n1485 1486\n1486 1487\n1487 1488\n1488 1489\n1489 1490\n1490 1491\n1491 1492\n1492 1493\n1493 1494\n1494 1495\n1495 1496\n1496 1497\n1497 1498\n1498 1499\n1499 1500\n1500 1501\n1501 1502\n1502 1503\n1503 1504\n1504 1505\n1505 1506\n1506 1507\n1507 1508\n1508 1509\n1509 1510\n1510 1511\n1511 1512\n1512 1513\n1513 1514\n1514 1515\n1515 1516\n1516 1517\n1517 1518\n1518 1519\n1519 1520\n1520 1521\n1521 1522\n1522 1523\n1523 1524\n1524 1525\n1525 1526\n1526 1527\n1527 1528\n1528 1529\n1529 1530\n1530 1531\n1531 1532\n1532 1533\n1533 1534\n1534 1535\n1535 1536\n1536 1537\n1537 1538\n1538 1539\n1539 1540\n1540 1541\n1541 1542\n1542 1543\n1543 1544\n1544 1545\n1545 1546\n1546 1547\n1547 1548\n1548 1549\n1549 1550\n1550 1551\n1551 1552\n1552 1553\n1553 1554\n1554 1555\n1555 1556\n1556 1557\n1557 1558\n1558 1559\n1559 1560\n1560 1561\n1561 1562\n1562 1563\n1563 1564\n1564 1565\n1565 1566\n1566 1567\n1567 1568\n1568 1569\n1569 1570\n1570 1571\n1571 1572\n1572 1573\n1573 1574\n1574 1575\n1575 1576\n1576 1577\n1577 1578\n1578 1579\n1579 1580\n1580 1581\n1581 1582\n1582 1583\n1583 1584\n1584 1585\n1585 1586\n1586 1587\n1587 1588\n1588 1589\n1589 1590\n1590 1591\n1591 1592\n1592 1593\n1593 1594\n1594 1595\n1595 1596\n1596 1597\n1597 1598\n1598 1599\n1599 1600\n1600 1601\n1601 1602\n1602 1603\n1603 1604\n1604 1605\n1605 1606\n1606 1607\n1607 1608\n1608 1609\n1609 1610\n1610 1611\n1611 1612\n1612 1613\n1613 1614\n1614 1615\n1615 1616\n1616 1617\n1617 1618\n1618 1619\n1619 1620\n1620 1621\n1621 1622\n1622 1623\n1623 1624\n1624 1625\n1625 1626\n1626 1627\n1627 1628\n1628 1629\n1629 1630\n1630 1631\n1631 1632\n1632 1633\n1633 1634\n1634 1635\n1635 1636\n1636 1637\n1637 1638\n1638 1639\n1639 1640\n1640 1641\n1641 1642\n1642 1643\n1643 1644\n1644 1645\n1645 1646\n1646 1647\n1647 1648\n1648 1649\n1649 1650\n1650 1651\n1651 1652\n1652 1653\n1653 1654\n1654 1655\n1655 1656\n1656 1657\n1657 1658\n1658 1659\n1659 1660\n1660 1661\n1661 1662\n1662 1663\n1663 1664\n1664 1665\n1665 1666\n1666 1667\n1667 1668\n1668 1669\n1669 1670\n1670 1671\n1671 1672\n1672 1673\n1673 1674\n1674 1675\n1675 1676\n1676 1677\n1677 1678\n1678 1679\n1679 1680\n1680 1681\n1681 1682\n1682 1683\n1683 1684\n1684 1685\n1685 1686\n1686 1687\n1687 1688\n1688 1689\n1689 1690\n1690 1691\n1691 1692\n1692 1693\n1693 1694\n1694 1695\n1695 1696\n1696 1697\n1697 1698\n1698 1699\n1699 1700\n1700 1701\n1701 1702\n1702 1703\n1703 1704\n1704 1705\n1705 1706\n1706 1707\n1707 1708\n1708 1709\n1709 1710\n1710 1711\n1711 1712\n1712 1713\n1713 1714\n1714 1715\n1715 1716\n1716 1717\n1717 1718\n1718 1719\n1719 1720\n1720 1721\n1721 1722\n1722 1723\n1723 1724\n1724 1725\n1725 1726\n1726 1727\n1727 1728\n1728 1729\n1729 1730\n1730 1731\n1731 1732\n1732 1733\n1733 1734\n1734 1735\n1735 1736\n1736 1737\n1737 1738\n1738 1739\n1739 1740\n1740 1741\n1741 1742\n1742 1743\n1743 1744\n1744 1745\n1745 1746\n1746 1747\n1747 1748\n1748 1749\n1749 1750\n1750 1751\n1751 1752\n1752 1753\n1753 1754\n1754 1755\n1755 1756\n1756 1757\n1757 1758\n1758 1759\n1759 1760\n1760 1761\n1761 1762\n1762 1763\n1763 1764\n1764 1765\n1765 1766\n1766 1767\n1767 1768\n1768 1769\n1769 1770\n1770 1771\n1771 1772\n1772 1773\n1773 1774\n1774 1775\n1775 1776\n1776 1777\n1777 1778\n1778 1779\n1779 1780\n1780 1781\n1781 1782\n1782 1783\n1783 1784\n1784 1785\n1785 1786\n1786 1787\n1787 1788\n1788 1789\n1789 1790\n1790 1791\n1791 1792\n1792 1793\n1793 1794\n1794 1795\n1795 1796\n1796 1797\n1797 1798\n1798 1799\n1799 1800\n1800 1801\n1801 1802\n1802 1803\n1803 1804\n1804 1805\n1805 1806\n1806 1807\n1807 1808\n1808 1809\n1809 1810\n1810 1811\n1811 1812\n1812 1813\n1813 1814\n1814 1815\n1815 1816\n1816 1817\n1817 1818\n1818 1819\n1819 1820\n1820 1821\n1821 1822\n1822 1823\n1823 1824\n1824 1825\n1825 1826\n1826 1827\n1827 1828\n1828 1829\n1829 1830\n1830 1831\n1831 1832\n1832 1833\n1833 1834\n1834 1835\n1835 1836\n1836 1837\n1837 1838\n1838 1839\n1839 1840\n1840 1841\n1841 1842\n1842 1843\n1843 1844\n1844 1845\n1845 1846\n1846 1847\n1847 1848\n1848 1849\n1849 1850\n1850 1851\n1851 1852\n1852 1853\n1853 1854\n1854 1855\n1855 1856\n1856 1857\n1857 1858\n1858 1859\n1859 1860\n1860 1861\n1861 1862\n1862 1863\n1863 1864\n1864 1865\n1865 1866\n1866 1867\n1867 1868\n1868 1869\n1869 1870\n1870 1871\n1871 1872\n1872 1873\n1873 1874\n1874 1875\n1875 1876\n1876 1877\n1877 1878\n1878 1879\n1879 1880\n1880 1881\n1881 1882\n1882 1883\n1883 1884\n1884 1885\n1885 1886\n1886 1887\n1887 1888\n1888 1889\n1889 1890\n1890 1891\n1891 1892\n1892 1893\n1893 1894\n1894 1895\n1895 1896\n1896 1897\n1897 1898\n1898 1899\n1899 1900\n1900 1901\n1901 1902\n1902 1903\n1903 1904\n1904 1905\n1905 1906\n1906 1907\n1907 1908\n1908 1909\n1909 1910\n1910 1911\n1911 1912\n1912 1913\n1913 1914\n1914 1915\n1915 1916\n1916 1917\n1917 1918\n1918 1919\n1919 1920\n1920 1921\n1921 1922\n1922 1923\n1923 1924\n1924 1925\n1925 1926\n1926 1927\n1927 1928\n1928 1929\n1929 1930\n1930 1931\n1931 1932\n1932 1933\n1933 1934\n1934 1935\n1935 1936\n1936 1937\n1937 1938\n1938 1939\n1939 1940\n1940 1941\n1941 1942\n1942 1943\n1943 1944\n1944 1945\n1945 1946\n1946 1947\n1947 1948\n1948 1949\n1949 1950\n1950 1951\n1951 1952\n1952 1953\n1953 1954\n1954 1955\n1955 1956\n1956 1957\n1957 1958\n1958 1959\n1959 1960\n1960 1961\n1961 1962\n1962 1963\n1963 1964\n1964 1965\n1965 1966\n1966 1967\n1967 1968\n1968 1969\n1969 1970\n1970 1971\n1971 1972\n1972 1973\n1973 1974\n1974 1975\n1975 1976\n1976 1977\n1977 1978\n1978 1979\n1979 1980\n1980 1981\n1981 1982\n1982 1983\n1983 1984\n1984 1985\n1985 1986\n1986 1987\n1987 1988\n1988 1989\n1989 1990\n1990 1991\n1991 1992\n1992 1993\n1993 1994\n1994 1995\n1995 1996\n1996 1997\n1997 1998\n1998 1999\n1999 2000\n2000 2001\n2001 2002\n2002 2003\n2003 2004\n2004 2005\n2005 2006\n2006 2007\n2007 2008\n2008 2009\n2009 2010\n2010 2011\n2011 2012\n2012 2013\n2013 2014\n2014 2015\n2015 2016\n2016 2017\n2017 2018\n2018 2019\n2019 2020\n2020 2021\n2021 2022\n2022 2023\n2023 2024\n2024 2025\n2025 2026\n2026 2027\n2027 2028\n2028 2029\n2029 2030\n2030 2031\n2031 2032\n2032 2033\n2033 2034\n2034 2035\n2035 2036\n2036 2037\n2037 2038\n2038 2039\n2039 2040\n2040 2041\n2041 2042\n2042 2043\n2043 2044\n2044 2045\n2045 2046\n2046 2047\n2047 2048\n2048 2049\n2049 2050\n2050 2051\n2051 2052\n2052 2053\n2053 2054\n2054 2055\n2055 2056\n2056 2057\n2057 2058\n2058 2059\n2059 2060\n2060 2061\n2061 2062\n2062 2063\n2063 2064\n2064 2065\n2065 2066\n2066 2067\n2067 2068\n2068 2069\n2069 2070\n2070 2071\n2071 2072\n2072 2073\n2073 2074\n2074 2075\n2075 2076\n2076 2077\n2077 2078\n2078 2079\n2079 2080\n2080 2081\n2081 2082\n2082 2083\n2083 2084\n2084 2085\n2085 2086\n2086 2087\n2087 2088\n2088 2089\n2089 2090\n2090 2091\n2091 2092\n2092 2093\n2093 2094\n2094 2095\n2095 2096\n2096 2097\n2097 2098\n2098 2099\n2099 2100\n2100 2101\n2101 2102\n2102 2103\n2103 2104\n2104 2105\n2105 2106\n2106 2107\n2107 2108\n2108 2109\n2109 2110\n2110 2111\n2111 2112\n2112 2113\n2113 2114\n2114 2115\n2115 2116\n2116 2117\n2117 2118\n2118 2119\n2119 2120\n2120 2121\n2121 2122\n2122 2123\n2123 2124\n2124 2125\n2125 2126\n2126 2127\n2127 2128\n2128 2129\n2129 2130\n2130 2131\n2131 2132\n2132 2133\n2133 2134\n2134 2135\n2135 2136\n2136 2137\n2137 2138\n2138 2139\n2139 2140\n2140 2141\n2141 2142\n2142 2143\n2143 2144\n2144 2145\n2145 2146\n2146 2147\n2147 2148\n2148 2149\n2149 2150\n2150 2151\n2151 2152\n2152 2153\n2153 2154\n2154 2155\n2155 2156\n2156 2157\n2157 2158\n2158 2159\n2159 2160\n2160 2161\n2161 2162\n2162 2163\n2163 2164\n2164 2165\n2165 2166\n2166 2167\n2167 2168\n2168 2169\n2169 2170\n2170 2171\n2171 2172\n2172 2173\n2173 2174\n2174 2175\n2175 2176\n2176 2177\n2177 2178\n2178 2179\n2179 2180\n2180 2181\n2181 2182\n2182 2183\n2183 2184\n2184 2185\n2185 2186\n2186 2187\n2187 2188\n2188 2189\n2189 2190\n2190 2191\n2191 2192\n2192 2193\n2193 2194\n2194 2195\n2195 2196\n2196 2197\n2197 2198\n2198 2199\n2199 2200\n2200 2201\n2201 2202\n2202 2203\n2203 2204\n2204 2205\n2205 2206\n2206 2207\n2207 2208\n2208 2209\n2209 2210\n2210 2211\n2211 2212\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n2 1159\n2 1160\n2 1161\n2 1162\n2 1163\n2 1164\n2 1165\n2 1166\n2 1167\n2 1168\n2 1169\n2 1170\n2 1171\n2 1172\n2 1173\n2 1174\n2 1175\n2 1176\n2 1177\n2 1178\n2 1179\n2 1180\n2 1181\n2 1182\n2 1183\n2 1184\n2 1185\n2 1186\n2 1187\n2 1188\n2 1189\n2 1190\n2 1191\n2 1192\n2 1193\n2 1194\n2 1195\n2 1196\n2 1197\n2 1198\n2 1199\n2 1200\n2 1201\n2 1202\n2 1203\n2 1204\n2 1205\n2 1206\n2 1207\n2 1208\n2 1209\n2 1210\n2 1211\n2 1212\n2 1213\n2 1214\n2 1215\n2 1216\n2 1217\n2 1218\n2 1219\n2 1220\n2 1221\n2 1222\n2 1223\n2 1224\n2 1225\n2 1226\n2 1227\n2 1228\n2 1229\n2 1230\n2 1231\n2 1232\n2 1233\n2 1234\n2 1235\n2 1236\n2 1237\n2 1238\n2 1239\n2 1240\n2 1241\n2 1242\n2 1243\n2 1244\n2 1245\n2 1246\n2 1247\n2 1248\n2 1249\n2 1250\n2 1251\n2 1252\n2 1253\n2 1254\n2 1255\n2 1256\n2 1257\n2 1258\n2 1259\n2 1260\n2 1261\n2 1262\n2 1263\n2 1264\n2 1265\n2 1266\n2 1267\n2 1268\n2 1269\n2 1270\n2 1271\n2 1272\n2 1273\n2 1274\n2 1275\n2 1276\n2 1277\n2 1278\n2 1279\n2 1280\n2 1281\n2 1282\n2 1283\n2 1284\n2 1285\n2 1286\n2 1287\n2 1288\n2 1289\n2 1290\n2 1291\n2 1292\n2 1293\n2 1294\n2 1295\n2 1296\n2 1297\n2 1298\n2 1299\n2 1300\n2 1301\n2 1302\n2 1303\n2 1304\n2 1305\n2 1306\n2 1307\n2 1308\n2 1309\n2 1310\n2 1311\n2 1312\n2 1313\n2 1314\n2 1315\n2 1316\n2 1317\n2 1318\n2 1319\n2 1320\n2 1321\n2 1322\n2 1323\n2 1324\n2 1325\n2 1326\n2 1327\n2 1328\n2 1329\n2 1330\n2 1331\n2 1332\n2 1333\n2 1334\n2 1335\n2 1336\n2 1337\n2 1338\n2 1339\n2 1340\n2 1341\n2 1342\n2 1343\n2 1344\n2 1345\n2 1346\n2 1347\n2 1348\n2 1349\n2 1350\n2 1351\n2 1352\n2 1353\n2 1354\n2 1355\n2 1356\n2 1357\n2 1358\n2 1359\n2 1360\n2 1361\n2 1362\n2 1363\n2 1364\n2 1365\n2 1366\n2 1367\n2 1368\n2 1369\n2 1370\n2 1371\n2 1372\n2 1373\n2 1374\n2 1375\n2 1376\n2 1377\n2 1378\n2 1379\n2 1380\n2 1381\n2 1382\n2 1383\n2 1384\n2 1385\n2 1386\n2 1387\n2 1388\n2 1389\n2 1390\n2 1391\n2 1392\n2 1393\n2 1394\n2 1395\n2 1396\n2 1397\n2 1398\n2 1399\n2 1400\n2 1401\n2 1402\n2 1403\n2 1404\n2 1405\n2 1406\n2 1407\n2 1408\n2 1409\n2 1410\n2 1411\n2 1412\n2 1413\n2 1414\n2 1415\n2 1416\n2 1417\n2 1418\n2 1419\n2 1420\n2 1421\n2 1422\n2 1423\n2 1424\n2 1425\n2 1426\n2 1427\n2 1428\n2 1429\n2 1430\n2 1431\n2 1432\n2 1433\n2 1434\n2 1435\n2 1436\n2 1437\n2 1438\n2 1439\n2 1440\n2 1441\n2 1442\n2 1443\n2 1444\n2 1445\n2 1446\n2 1447\n2 1448\n2 1449\n2 1450\n2 1451\n2 1452\n2 1453\n2 1454\n2 1455\n2 1456\n2 1457\n2 1458\n2 1459\n2 1460\n2 1461\n2 1462\n2 1463\n2 1464\n2 1465\n2 1466\n2 1467\n2 1468\n2 1469\n2 1470\n2 1471\n2 1472\n2 1473\n2 1474\n2 1475\n2 1476\n2 1477\n2 1478\n2 1479\n2 1480\n2 1481\n2 1482\n2 1483\n2 1484\n2 1485\n2 1486\n2 1487\n2 1488\n2 1489\n2 1490\n2 1491\n2 1492\n2 1493\n2 1494\n2 1495\n2 1496\n2 1497\n2 1498\n2 1499\n2 1500\n2 1501\n2 1502\n2 1503\n2 1504\n2 1505\n2 1506\n2 1507\n2 1508\n2 1509\n2 1510\n2 1511\n2 1512\n2 1513\n2 1514\n2 1515\n2 1516\n2 1517\n2 1518\n2 1519\n2 1520\n2 1521\n2 1522\n2 1523\n2 1524\n2 1525\n2 1526\n2 1527\n2 1528\n2 1529\n2 1530\n2 1531\n2 1532\n2 1533\n2 1534\n2 1535\n2 1536\n2 1537\n2 1538\n2 1539\n2 1540\n2 1541\n2 1542\n2 1543\n2 1544\n2 1545\n2 1546\n2 1547\n2 1548\n2 1549\n2 1550\n2 1551\n2 1552\n2 1553\n2 1554\n2 1555\n2 1556\n2 1557\n2 1558\n2 1559\n2 1560\n2 1561\n2 1562\n2 1563\n2 1564\n2 1565\n2 1566\n2 1567\n2 1568\n2 1569\n2 1570\n2 1571\n2 1572\n2 1573\n2 1574\n2 1575\n2 1576\n2 1577\n2 1578\n2 1579\n2 1580\n2 1581\n2 1582\n2 1583\n2 1584\n2 1585\n2 1586\n2 1587\n2 1588\n2 1589\n2 1590\n2 1591\n2 1592\n2 1593\n2 1594\n2 1595\n2 1596\n2 1597\n2 1598\n2 1599\n2 1600\n2 1601\n2 1602\n2 1603\n2 1604\n2 1605\n2 1606\n2 1607\n2 1608\n2 1609\n2 1610\n2 1611\n2 1612\n2 1613\n2 1614\n2 1615\n2 1616\n2 1617\n2 1618\n2 1619\n2 1620\n2 1621\n2 1622\n2 1623\n2 1624\n2 1625\n2 1626\n2 1627\n2 1628\n2 1629\n2 1630\n2 1631\n2 1632\n2 1633\n2 1634\n2 1635\n2 1636\n2 1637\n2 1638\n2 1639\n2 1640\n2 1641\n2 1642\n2 1643\n2 1644\n2 1645\n2 1646\n2 1647\n2 1648\n2 1649\n2 1650\n2 1651\n2 1652\n2 1653\n2 1654\n2 1655\n2 1656\n2 1657\n2 1658\n2 1659\n2 1660\n2 1661\n2 1662\n2 1663\n2 1664\n2 1665\n2 1666\n2 1667\n2 1668\n2 1669\n2 1670\n2 1671\n2 1672\n2 1673\n2 1674\n2 1675\n2 1676\n2 1677\n2 1678\n2 1679\n2 1680\n2 1681\n2 1682\n2 1683\n2 1684\n2 1685\n2 1686\n2 1687\n2 1688\n2 1689\n2 1690\n2 1691\n2 1692\n2 1693\n2 1694\n2 1695\n2 1696\n2 1697\n2 1698\n2 1699\n2 1700\n2 1701\n2 1702\n2 1703\n2 1704\n2 1705\n2 1706\n2 1707\n2 1708\n2 1709\n2 1710\n2 1711\n2 1712\n2 1713\n2 1714\n2 1715\n2 1716\n2 1717\n2 1718\n2 1719\n2 1720\n2 1721\n2 1722\n2 1723\n2 1724\n2 1725\n2 1726\n2 1727\n2 1728\n2 1729\n2 1730\n2 1731\n2 1732\n2 1733\n2 1734\n2 1735\n2 1736\n2 1737\n2 1738\n2 1739\n2 1740\n2 1741\n2 1742\n2 1743\n2 1744\n2 1745\n2 1746\n2 1747\n2 1748\n2 1749\n2 1750\n2 1751\n2 1752\n2 1753\n2 1754\n2 1755\n2 1756\n2 1757\n2 1758\n2 1759\n2 1760\n2 1761\n2 1762\n2 1763\n2 1764\n2 1765\n2 1766\n2 1767\n2 1768\n2 1769\n2 1770\n2 1771\n2 1772\n2 1773\n2 1774\n2 1775\n2 1776\n2 1777\n2 1778\n2 1779\n2 1780\n2 1781\n2 1782\n2 1783\n2 1784\n2 1785\n2 1786\n2 1787\n2 1788\n2 1789\n2 1790\n2 1791\n2 1792\n2 1793\n2 1794\n2 1795\n2 1796\n2 1797\n2 1798\n2 1799\n2 1800\n2 1801\n2 1802\n2 1803\n2 1804\n2 1805\n2 1806\n2 1807\n2 1808\n2 1809\n2 1810\n2 1811\n2 1812\n2 1813\n2 1814\n2 1815\n2 1816\n2 1817\n2 1818\n2 1819\n2 1820\n2 1821\n2 1822\n2 1823\n2 1824\n2 1825\n2 1826\n2 1827\n2 1828\n2 1829\n2 1830\n2 1831\n2 1832\n2 1833\n2 1834\n2 1835\n2 1836\n2 1837\n2 1838\n2 1839\n2 1840\n2 1841\n2 1842\n2 1843\n2 1844\n2 1845\n2 1846\n2 1847\n2 1848\n2 1849\n2 1850\n2 1851\n2 1852\n2 1853\n2 1854\n2 1855\n2 1856\n2 1857\n2 1858\n2 1859\n2 1860\n2 1861\n2 1862\n2 1863\n2 1864\n2 1865\n2 1866\n2 1867\n2 1868\n2 1869\n2 1870\n2 1871\n2 1872\n2 1873\n2 1874\n2 1875\n2 1876\n2 1877\n2 1878\n2 1879\n2 1880\n2 1881\n2 1882\n2 1883\n2 1884\n2 1885\n2 1886\n2 1887\n2 1888\n2 1889\n2 1890\n2 1891\n2 1892\n2 1893\n2 1894\n2 1895\n2 1896\n2 1897\n2 1898\n2 1899\n2 1900\n2 1901\n2 1902\n2 1903\n2 1904\n2 1905\n2 1906\n2 1907\n2 1908\n2 1909\n2 1910\n2 1911\n2 1912\n2 1913\n2 1914\n2 1915\n2 1916\n2 1917\n2 1918\n2 1919\n2 1920\n2 1921\n2 1922\n2 1923\n2 1924\n2 1925\n2 1926\n2 1927\n2 1928\n2 1929\n2 1930\n2 1931\n2 1932\n2 1933\n2 1934\n2 1935\n2 1936\n2 1937\n2 1938\n2 1939\n2 1940\n2 1941\n2 1942\n2 1943\n2 1944\n2 1945\n2 1946\n2 1947\n2 1948\n2 1949\n2 1950\n2 1951\n2 1952\n2 1953\n2 1954\n2 1955\n2 1956\n2 1957\n2 1958\n2 1959\n2 1960\n2 1961\n2 1962\n2 1963\n2 1964\n2 1965\n2 1966\n2 1967\n2 1968\n2 1969\n2 1970\n2 1971\n2 1972\n2 1973\n2 1974\n2 1975\n2 1976\n2 1977\n2 1978\n2 1979\n2 1980\n2 1981\n2 1982\n2 1983\n2 1984\n2 1985\n2 1986\n2 1987\n2 1988\n2 1989\n2 1990\n2 1991\n2 1992\n2 1993\n2 1994\n2 1995\n2 1996\n2 1997\n2 1998\n2 1999\n2 2000\n2 2001\n2 2002\n2 2003\n2 2004\n2 2005\n2 2006\n2 2007\n2 2008\n2 2009\n2 2010\n2 2011\n2 2012\n2 2013\n2 2014\n2 2015\n2 2016\n2 2017\n2 2018\n2 2019\n2 2020\n2 2021\n2 2022\n2 2023\n2 2024\n2 2025\n2 2026\n2 2027\n2 2028\n2 2029\n2 2030\n2 2031\n2 2032\n2 2033\n2 2034\n2 2035\n2 2036\n2 2037\n2 2038\n2 2039\n2 2040\n2 2041\n2 2042\n2 2043\n2 2044\n2 2045\n2 2046\n2 2047\n2 2048\n2 2049\n2 2050\n2 2051\n2 2052\n2 2053\n2 2054\n2 2055\n2 2056\n2 2057\n2 2058\n2 2059\n2 2060\n2 2061\n2 2062\n2 2063\n2 2064\n2 2065\n2 2066\n2 2067\n2 2068\n2 2069\n2 2070\n2 2071\n2 2072\n2 2073\n2 2074\n2 2075\n2 2076\n2 2077\n2 2078\n2 2079\n2 2080\n2 2081\n2 2082\n2 2083\n2 2084\n2 2085\n2 2086\n2 2087\n2 2088\n2 2089\n2 2090\n2 2091\n2 2092\n2 2093\n2 2094\n2 2095\n2 2096\n2 2097\n2 2098\n2 2099\n2 2100\n2 2101\n2 2102\n2 2103\n2 2104\n2 2105\n2 2106\n2 2107\n2 2108\n2 2109\n2 2110\n2 2111\n2 2112\n2 2113\n2 2114\n2 2115\n2 2116\n2 2117\n2 2118\n2 2119\n2 2120\n2 2121\n2 2122\n2 2123\n2 2124\n2 2125\n2 2126\n2 2127\n2 2128\n2 2129\n2 2130\n2 2131\n2 2132\n2 2133\n2 2134\n2 2135\n2 2136\n2 2137\n2 2138\n2 2139\n2 2140\n2 2141\n2 2142\n2 2143\n2 2144\n2 2145\n2 2146\n2 2147\n2 2148\n2 2149\n2 2150\n2 2151\n2 2152\n2 2153\n2 2154\n2 2155\n2 2156\n2 2157\n2 2158\n2 2159\n2 2160\n2 2161\n2 2162\n2 2163\n2 2164\n2 2165\n2 2166\n2 2167\n2 2168\n2 2169\n2 2170\n2 2171\n2 2172\n2 2173\n2 2174\n2 2175\n2 2176\n2 2177\n2 2178\n2 2179\n2 2180\n2 2181\n2 2182\n2 2183\n2 2184\n2 2185\n2 2186\n2 2187\n2 2188\n2 2189\n2 2190\n2 2191\n2 2192\n2 2193\n2 2194\n2 2195\n2 2196\n2 2197\n2 2198\n2 2199\n2 2200\n2 2201\n2 2202\n2 2203\n2 2204\n2 2205\n2 2206\n2 2207\n2 2208\n2 2209\n2 2210\n2 2211\n2 2212\n2 2213\n2 2214\n2 2215\n2 2216\n2 2217\n2 2218\n2 2219\n2 2220\n2 2221\n2 2222\n2 2223\n2 2224\n2 2225\n2 2226\n2 2227\n2 2228\n2 2229\n2 2230\n2 2231\n2 2232\n2 2233\n2 2234\n2 2235\n2 2236\n2 2237\n2 2238\n2 2239\n2 2240\n2 2241\n2 2242\n2 2243\n2 2244\n2 2245\n2 2246\n2 2247\n2 2248\n2 2249\n2 2250\n2 2251\n2 2252\n2 2253\n2 2254\n2 2255\n2 2256\n2 2257\n2 2258\n2 2259\n2 2260\n2 2261\n2 2262\n2 2263\n2 2264\n2 2265\n2 2266\n2 2267\n2 2268\n2 2269\n2 2270\n2 2271\n2 2272\n2 2273\n2 2274\n2 2275\n2 2276\n2 2277\n2 2278\n2 2279\n2 2280\n2 2281\n2 2282\n2 2283\n2 2284\n2 2285\n2 2286\n2 2287\n2 2288\n2 2289\n2 2290\n2 2291\n2 2292\n2 2293\n2 2294\n2 2295\n2 2296\n2 2297\n2 2298\n2 2299\n2 2300\n2 2301\n2 2302\n2 2303\n2 2304\n2 2305\n2 2306\n2 2307\n2 2308\n2 2309\n2 2310\n2 2311\n2 2312\n2 2313\n2 2314\n2 2315\n2 2316\n2 2317\n2 2318\n2 2319\n2 2320\n2 2321\n2 2322\n2 2323\n2 2324\n2 2325\n2 2326\n2 2327\n2 2328\n2 2329\n2 2330\n2 2331\n2 2332\n2 2333\n2 2334\n2 2335\n2 2336\n2 2337\n2 2338\n2 2339\n2 2340\n2 2341\n2 2342\n2 2343\n2 2344\n2 2345\n2 2346\n2 2347\n2 2348\n2 2349\n2 2350\n2 2351\n2 2352\n2 2353\n2 2354\n2 2355\n2 2356\n2 2357\n2 2358\n2 2359\n2 2360\n2 2361\n2 2362\n2 2363\n2 2364\n2 2365\n2 2366\n2 2367\n2 2368\n2 2369\n2 2370\n2 2371\n2 2372\n2 2373\n2 2374\n2 2375\n2 2376\n2 2377\n2 2378\n2 2379\n2 2380\n2 2381\n2 2382\n2 2383\n2 2384\n2 2385\n2 2386\n2 2387\n2 2388\n2 2389\n2 2390\n2 2391\n2 2392\n2 2393\n2 2394\n2 2395\n2 2396\n2 2397\n2 2398\n2 2399\n2 2400\n2 2401\n2 2402\n2 2403\n2 2404\n2 2405\n2 2406\n2 2407\n2 2408\n2 2409\n2 2410\n2 2411\n2 2412\n2 2413\n2 2414\n2 2415\n2 2416\n2 2417\n2 2418\n2 2419\n2 2420\n2 2421\n2 2422\n2 2423\n2 2424\n2 2425\n2 2426\n2 2427\n2 2428\n2 2429\n2 2430\n2 2431\n2 2432\n2 2433\n2 2434\n2 2435\n2 2436\n2 2437\n2 2438\n2 2439\n2 2440\n2 2441\n2 2442\n2 2443\n2 2444\n2 2445\n2 2446\n2 2447\n2 2448\n2 2449\n2 2450\n2 2451\n2 2452\n2 2453\n2 2454\n2 2455\n2 2456\n2 2457\n2 2458\n2 2459\n2 2460\n2 2461\n2 2462\n2 2463\n2 2464\n2 2465\n2 2466\n2 2467\n2 2468\n2 2469\n2 2470\n2 2471\n2 2472\n2 2473\n2 2474\n2 2475\n2 2476\n2 2477\n2 2478\n2 2479\n2 2480\n2 2481\n2 2482\n2 2483\n2 2484\n2 2485\n2 2486\n2 2487\n2 2488\n2 2489\n2 2490\n2 2491\n2 2492\n2 2493\n2 2494\n2 2495\n2 2496\n2 2497\n2 2498\n2 2499\n2 2500\n2 2501\n2 2502\n2 2503\n2 2504\n2 2505\n2 2506\n2 2507\n2 2508\n2 2509\n2 2510\n2 2511\n2 2512\n2 2513\n2 2514\n2 2515\n2 2516\n2 2517\n2 2518\n2 2519\n2 2520\n2 2521\n2 2522\n2 2523\n2 2524\n2 2525\n2 2526\n2 2527\n2 2528\n2 2529\n2 2530\n2 2531\n2 2532\n2 2533\n2 2534\n2 2535\n2 2536\n2 2537\n2 2538\n2 2539\n2 2540\n2 2541\n2 2542\n2 2543\n2 2544\n2 2545\n2 2546\n2 2547\n2 2548\n2 2549\n2 2550\n2 2551\n2 2552\n2 2553\n2 2554\n2 2555\n2 2556\n2 2557\n2 2558\n2 2559\n2 2560\n2 2561\n2 2562\n2 2563\n2 2564\n2 2565\n2 2566\n2 2567\n2 2568\n2 2569\n2 2570\n2 2571\n2 2572\n2 2573\n2 2574\n2 2575\n2 2576\n2 2577\n2 2578\n2 2579\n2 2580\n2 2581\n2 2582\n2 2583\n2 2584\n2 2585\n2 2586\n2 2587\n2 2588\n2 2589\n2 2590\n2 2591\n2 2592\n2 2593\n2 2594\n2 2595\n2 2596\n2 2597\n2 2598\n2 2599\n2 2600\n2 2601\n2 2602\n2 2603\n2 2604\n2 2605\n2 2606\n2 2607\n2 2608\n2 2609\n2 2610\n2 2611\n2 2612\n2 2613\n2 2614\n2 2615\n2 2616\n2 2617\n2 2618\n2 2619\n2 2620\n2 2621\n2 2622\n2 2623\n2 2624\n2 2625\n2 2626\n2 2627\n2 2628\n2 2629\n2 2630\n2 2631\n2 2632\n2 2633\n2 2634\n2 2635\n2 2636\n2 2637\n2 2638\n2 2639\n2 2640\n2 2641\n2 2642\n2 2643\n2 2644\n2 2645\n2 2646\n2 2647\n2 2648\n2 2649\n2 2650\n2 2651\n2 2652\n2 2653\n2 2654\n2 2655\n2 2656\n2 2657\n2 2658\n2 2659\n2 2660\n2 2661\n2 2662\n2 2663\n2 2664\n2 2665\n2 2666\n2 2667\n2 2668\n2 2669\n2 2670\n2 2671\n2 2672\n2 2673\n2 2674\n2 2675\n2 2676\n2 2677\n2 2678\n2 2679\n2 2680\n2 2681\n2 2682\n2 2683\n2 2684\n2 2685\n2 2686\n2 2687\n2 2688\n2 2689\n2 2690\n2 2691\n2 2692\n2 2693\n2 2694\n2 2695\n2 2696\n2 2697\n2 2698\n2 2699\n2 2700\n2 2701\n2 2702\n2 2703\n2 2704\n2 2705\n2 2706\n2 2707\n2 2708\n2 2709\n2 2710\n2 2711\n2 2712\n2 2713\n2 2714\n2 2715\n2 2716\n2 2717\n2 2718\n2 2719\n2 2720\n2 2721\n2 2722\n2 2723\n2 2724\n2 2725\n2 2726\n2 2727\n2 2728\n2 2729\n2 2730\n2 2731\n2 2732\n2 2733\n2 2734\n2 2735\n2 2736\n2 2737\n2 2738\n2 2739\n2 2740\n2 2741\n2 2742\n2 2743\n2 2744\n2 2745\n2 2746\n2 2747\n2 2748\n2 2749\n2 2750\n2 2751\n2 2752\n2 2753\n2 2754\n2 2755\n2 2756\n2 2757\n2 2758\n2 2759\n2 2760\n2 2761\n2 2762\n2 2763\n2 2764\n2 2765\n2 2766\n2 2767\n2 2768\n2 2769\n2 2770\n2 2771\n2 2772\n2 2773\n2 2774\n2 2775\n2 2776\n2 2777\n2 2778\n2 2779\n2 2780\n2 2781\n2 2782\n2 2783\n2 2784\n2 2785\n2 2786\n2 2787\n2 2788\n2 2789\n2 2790\n2 2791\n2 2792\n2 2793\n2 2794\n2 2795\n2 2796\n2 2797\n2 2798\n2 2799\n2 2800\n2 2801\n2 2802\n2 2803\n2 2804\n2 2805\n2 2806\n2 2807\n2 2808\n2 2809\n2 2810\n2 2811\n2 2812\n2 2813\n2 2814\n2 2815\n2 2816\n2 2817\n2 2818\n2 2819\n2 2820\n2 2821\n2 2822\n2 2823\n2 2824\n2 2825\n2 2826\n2 2827\n2 2828\n2 2829\n2 2830\n2 2831\n2 2832\n2 2833\n2 2834\n2 2835\n2 2836\n2 2837\n2 2838\n2 2839\n2 2840\n2 2841\n2 2842\n2 2843\n2 2844\n2 2845\n2 2846\n2 2847\n2 2848\n2 2849\n2 2850\n2 2851\n2 2852\n2 2853\n2 2854\n2 2855\n2 2856\n2 2857\n2 2858\n2 2859\n2 2860\n2 2861\n2 2862\n2 2863\n2 2864\n2 2865\n2 2866\n2 2867\n2 2868\n2 2869\n2 2870\n2 2871\n2 2872\n2 2873\n2 2874\n2 2875\n2 2876\n2 2877\n2 2878\n2 2879\n2 2880\n2 2881\n2 2882\n2 2883\n2 2884\n2 2885\n2 2886\n2 2887\n2 2888\n2 2889\n2 2890\n2 2891\n2 2892\n2 2893\n2 2894\n2 2895\n2 2896\n2 2897\n2 2898\n2 2899\n2 2900\n2 2901\n2 2902\n2 2903\n2 2904\n2 2905\n2 2906\n2 2907\n2 2908\n2 2909\n2 2910\n2 2911\n2 2912\n2 2913\n2 2914\n2 2915\n2 2916\n2 2917\n2 2918\n2 2919\n2 2920\n2 2921\n2 2922\n2 2923\n2 2924\n2 2925\n2 2926\n2 2927\n2 2928\n2 2929\n2 2930\n2 2931\n2 2932\n2 2933\n2 2934\n2 2935\n2 2936\n2 2937\n2 2938\n2 2939\n2 2940\n2 2941\n2 2942\n2 2943\n2 2944\n2 2945\n2 2946\n2 2947\n2 2948\n2 2949\n2 2950\n2 2951\n2 2952\n2 2953\n2 2954\n2 2955\n2 2956\n2 2957\n2 2958\n2 2959\n2 2960\n2 2961\n2 2962\n2 2963\n2 2964\n2 2965\n2 2966\n2 2967\n2 2968\n2 2969\n2 2970\n2 2971\n2 2972\n2 2973\n2 2974\n2 2975\n2 2976\n2 2977\n2 2978\n2 2979\n2 2980\n2 2981\n2 2982\n2 2983\n2 2984\n2 2985\n2 2986\n2 2987\n2 2988\n2 2989\n2 2990\n2 2991\n2 2992\n2 2993\n2 2994\n2 2995\n2 2996\n2 2997\n2 2998\n2 2999\n2 3000\n2 3001\n2 3002\n2 3003\n2 3004\n2 3005\n2 3006\n2 3007\n2 3008\n2 3009\n2 3010\n2 3011\n2 3012\n2 3013\n2 3014\n2 3015\n2 3016\n2 3017\n2 3018\n2 3019\n2 3020\n2 3021\n2 3022\n2 3023\n2 3024\n2 3025\n2 3026\n2 3027\n2 3028\n2 3029\n2 3030\n2 3031\n2 3032\n2 3033\n2 3034\n2 3035\n2 3036\n2 3037\n2 3038\n2 3039\n2 3040\n2 3041\n2 3042\n2 3043\n2 3044\n2 3045\n2 3046\n2 3047\n2 3048\n2 3049\n2 3050\n2 3051\n2 3052\n2 3053\n2 3054\n2 3055\n2 3056\n2 3057\n2 3058\n2 3059\n2 3060\n2 3061\n2 3062\n2 3063\n2 3064\n2 3065\n2 3066\n2 3067\n2 3068\n2 3069\n2 3070\n2 3071\n2 3072\n2 3073\n2 3074\n2 3075\n2 3076\n2 3077\n2 3078\n2 3079\n2 3080\n2 3081\n2 3082\n2 3083\n2 3084\n2 3085\n2 3086\n2 3087\n2 3088\n2 3089\n2 3090\n2 3091\n2 3092\n2 3093\n2 3094\n2 3095\n2 3096\n2 3097\n2 3098\n2 3099\n2 3100\n2 3101\n2 3102\n2 3103\n2 3104\n2 3105\n2 3106\n2 3107\n2 3108\n2 3109\n2 3110\n2 3111\n2 3112\n2 3113\n2 3114\n2 3115\n2 3116\n2 3117\n2 3118\n2 3119\n2 3120\n2 3121\n2 3122\n2 3123\n2 3124\n2 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3250\n2 3251\n2 3252\n2 3253\n2 3254\n2 3255\n2 3256\n2 3257\n2 3258\n2 3259\n2 3260\n2 3261\n2 3262\n2 3263\n2 3264\n2 3265\n2 3266\n2 3267\n2 3268\n2 3269\n2 3270\n2 3271\n2 3272\n2 3273\n2 3274\n2 3275\n2 3276\n2 3277\n2 3278\n2 3279\n2 3280\n2 3281\n2 3282\n2 3283\n2 3284\n2 3285\n2 3286\n2 3287\n2 3288\n2 3289\n2 3290\n2 3291\n2 3292\n2 3293\n2 3294\n2 3295\n2 3296\n2 3297\n2 3298\n2 3299\n2 3300\n2 3301\n2 3302\n2 3303\n2 3304\n2 3305\n2 3306\n2 3307\n2 3308\n2 3309\n2 3310\n2 3311\n2 3312\n2 3313\n2 3314\n2 3315\n2 3316\n2 3317\n2 3318\n2 3319\n2 3320\n2 3321\n2 3322\n2 3323\n2 3324\n2 3325\n2 3326\n2 3327\n2 3328\n2 3329\n2 3330\n2 3331\n2 3332\n2 3333\n2 3334\n2 3335\n2 3336\n2 3337\n2 3338\n2 3339\n2 3340\n2 3341\n2 3342\n2 3343\n2 3344\n2 3345\n2 3346\n2 3347\n2 3348\n2 3349\n2 3350\n2 3351\n2 3352\n2 3353\n2 3354\n2 3355\n2 3356\n2 3357\n2 3358\n2 3359\n2 3360\n2 3361\n2 3362\n2 3363\n2 3364\n2 3365\n2 3366\n2 3367\n2 3368\n2 3369\n2 3370\n2 3371\n2 3372\n2 3373\n2 3374\n2 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3500\n2 3501\n2 3502\n2 3503\n2 3504\n2 3505\n2 3506\n2 3507\n2 3508\n2 3509\n2 3510\n2 3511\n2 3512\n2 3513\n2 3514\n2 3515\n2 3516\n2 3517\n2 3518\n2 3519\n2 3520\n2 3521\n2 3522\n2 3523\n2 3524\n2 3525\n2 3526\n2 3527\n2 3528\n2 3529\n2 3530\n2 3531\n2 3532\n2 3533\n2 3534\n2 3535\n2 3536\n2 3537\n2 3538\n2 3539\n2 3540\n2 3541\n2 3542\n2 3543\n2 3544\n2 3545\n2 3546\n2 3547\n2 3548\n2 3549\n2 3550\n2 3551\n2 3552\n2 3553\n2 3554\n2 3555\n2 3556\n2 3557\n2 3558\n2 3559\n2 3560\n2 3561\n2 3562\n2 3563\n2 3564\n2 3565\n2 3566\n2 3567\n2 3568\n2 3569\n2 3570\n2 3571\n2 3572\n2 3573\n2 3574\n2 3575\n2 3576\n2 3577\n2 3578\n2 3579\n2 3580\n2 3581\n2 3582\n2 3583\n2 3584\n2 3585\n2 3586\n2 3587\n2 3588\n2 3589\n2 3590\n2 3591\n2 3592\n2 3593\n2 3594\n2 3595\n2 3596\n2 3597\n2 3598\n2 3599\n2 3600\n2 3601\n2 3602\n2 3603\n2 3604\n2 3605\n2 3606\n2 3607\n2 3608\n2 3609\n2 3610\n2 3611\n2 3612\n2 3613\n2 3614\n2 3615\n2 3616\n2 3617\n2 3618\n2 3619\n2 3620\n2 3621\n2 3622\n2 3623\n2 3624\n2 3625\n2 3626\n2 3627\n2 3628\n2 3629\n2 3630\n2 3631\n2 3632\n2 3633\n2 3634\n2 3635\n2 3636\n2 3637\n2 3638\n2 3639\n2 3640\n2 3641\n2 3642\n2 3643\n2 3644\n2 3645\n2 3646\n2 3647\n2 3648\n2 3649\n2 3650\n2 3651\n2 3652\n2 3653\n2 3654\n2 3655\n2 3656\n2 3657\n2 3658\n2 3659\n2 3660\n2 3661\n2 3662\n2 3663\n2 3664\n2 3665\n2 3666\n2 3667\n2 3668\n2 3669\n2 3670\n2 3671\n2 3672\n2 3673\n2 3674\n2 3675\n2 3676\n2 3677\n2 3678\n2 3679\n2 3680\n2 3681\n2 3682\n2 3683\n2 3684\n2 3685\n2 3686\n2 3687\n2 3688\n2 3689\n2 3690\n2 3691\n2 3692\n2 3693\n2 3694\n2 3695\n2 3696\n2 3697\n2 3698\n2 3699\n2 3700\n2 3701\n2 3702\n2 3703\n2 3704\n2 3705\n2 3706\n2 3707\n2 3708\n2 3709\n2 3710\n2 3711\n2 3712\n2 3713\n2 3714\n2 3715\n2 3716\n2 3717\n2 3718\n2 3719\n2 3720\n2 3721\n2 3722\n2 3723\n2 3724\n2 3725\n2 3726\n2 3727\n2 3728\n2 3729\n2 3730\n2 3731\n2 3732\n2 3733\n2 3734\n2 3735\n2 3736\n2 3737\n2 3738\n2 3739\n2 3740\n2 3741\n2 3742\n2 3743\n2 3744\n2 3745\n2 3746\n2 3747\n2 3748\n2 3749\n2 3750\n2 3751\n2 3752\n2 3753\n2 3754\n2 3755\n2 3756\n2 3757\n2 3758\n2 3759\n2 3760\n2 3761\n2 3762\n2 3763\n2 3764\n2 3765\n2 3766\n2 3767\n2 3768\n2 3769\n2 3770\n2 3771\n2 3772\n2 3773\n2 3774\n2 3775\n2 3776\n2 3777\n2 3778\n2 3779\n2 3780\n2 3781\n2 3782\n2 3783\n2 3784\n2 3785\n2 3786\n2 3787\n2 3788\n2 3789\n2 3790\n2 3791\n2 3792\n2 3793\n2 3794\n2 3795\n2 3796\n2 3797\n2 3798\n2 3799\n2 3800\n2 3801\n2 3802\n2 3803\n2 3804\n2 3805\n2 3806\n2 3807\n2 3808\n2 3809\n2 3810\n2 3811\n2 3812\n2 3813\n2 3814\n2 3815\n2 3816\n2 3817\n2 3818\n2 3819\n2 3820\n2 3821\n2 3822\n2 3823\n2 3824\n2 3825\n2 3826\n2 3827\n2 3828\n2 3829\n2 3830\n2 3831\n2 3832\n2 3833\n2 3834\n2 3835\n2 3836\n2 3837\n2 3838\n2 3839\n2 3840\n2 3841\n2 3842\n2 3843\n2 3844\n2 3845\n2 3846\n2 3847\n2 3848\n2 3849\n2 3850\n2 3851\n2 3852\n2 3853\n2 3854\n2 3855\n2 3856\n2 3857\n2 3858\n2 3859\n2 3860\n2 3861\n2 3862\n2 3863\n2 3864\n2 3865\n2 3866\n2 3867\n2 3868\n2 3869\n2 3870\n2 3871\n2 3872\n2 3873\n2 3874\n2 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4000\n2 4001\n2 4002\n2 4003\n2 4004\n2 4005\n2 4006\n2 4007\n2 4008\n2 4009\n2 4010\n2 4011\n2 4012\n2 4013\n2 4014\n2 4015\n2 4016\n2 4017\n2 4018\n2 4019\n2 4020\n2 4021\n2 4022\n2 4023\n2 4024\n2 4025\n2 4026\n2 4027\n2 4028\n2 4029\n2 4030\n2 4031\n2 4032\n2 4033\n2 4034\n2 4035\n2 4036\n2 4037\n2 4038\n2 4039\n2 4040\n2 4041\n2 4042\n2 4043\n2 4044\n2 4045\n2 4046\n2 4047\n2 4048\n2 4049\n2 4050\n2 4051\n2 4052\n2 4053\n2 4054\n2 4055\n2 4056\n2 4057\n2 4058\n2 4059\n2 4060\n2 4061\n2 4062\n2 4063\n2 4064\n2 4065\n2 4066\n2 4067\n2 4068\n2 4069\n2 4070\n2 4071\n2 4072\n2 4073\n2 4074\n2 4075\n2 4076\n2 4077\n2 4078\n2 4079\n2 4080\n2 4081\n2 4082\n2 4083\n2 4084\n2 4085\n2 4086\n2 4087\n2 4088\n2 4089\n2 4090\n2 4091\n2 4092\n2 4093\n2 4094\n2 4095\n2 4096\n2 4097\n2 4098\n2 4099\n2 4100\n2 4101\n2 4102\n2 4103\n2 4104\n2 4105\n2 4106\n2 4107\n2 4108\n2 4109\n2 4110\n2 4111\n2 4112\n2 4113\n2 4114\n2 4115\n2 4116\n2 4117\n2 4118\n2 4119\n2 4120\n2 4121\n2 4122\n2 4123\n2 4124\n2 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579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 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801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 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5751\n5751 5752\n5752 5753\n5753 5754\n5754 5755\n5755 5756\n5756 5757\n5757 5758\n5758 5759\n5759 5760\n5760 5761\n5761 5762\n5762 5763\n5763 5764\n5764 5765\n5765 5766\n5766 5767\n5767 5768\n5768 5769\n5769 5770\n5770 5771\n5771 5772\n5772 5773\n5773 5774\n5774 5775\n5775 5776\n5776 5777\n5777 5778\n5778 5779\n5779 5780\n5780 5781\n5781 5782\n5782 5783\n5783 5784\n5784 5785\n5785 5786\n5786 5787\n5787 5788\n5788 5789\n5789 5790\n5790 5791\n5791 5792\n5792 5793\n5793 5794\n5794 5795\n5795 5796\n5796 5797\n5797 5798\n5798 5799\n5799 5800\n5800 5801\n5801 5802\n5802 5803\n5803 5804\n5804 5805\n5805 5806\n5806 5807\n5807 5808\n5808 5809\n5809 5810\n5810 5811\n5811 5812\n5812 5813\n5813 5814\n5814 5815\n5815 5816\n5816 5817\n5817 5818\n5818 5819\n5819 5820\n5820 5821\n5821 5822\n5822 5823\n5823 5824\n5824 5825\n5825 5826\n5826 5827\n5827 5828\n5828 5829\n5829 5830\n5830 5831\n5831 5832\n5832 5833\n5833 5834\n5834 5835\n5835 5836\n5836 5837\n5837 5838\n5838 5839\n5839 5840\n5840 5841\n5841 5842\n5842 5843\n5843 5844\n5844 5845\n5845 5846\n5846 5847\n5847 5848\n5848 5849\n5849 5850\n5850 5851\n5851 5852\n5852 5853\n5853 5854\n5854 5855\n5855 5856\n5856 5857\n5857 5858\n5858 5859\n5859 5860\n5860 5861\n5861 5862\n5862 5863\n5863 5864\n5864 5865\n5865 5866\n5866 5867\n5867 5868\n5868 5869\n5869 5870\n5870 5871\n5871 5872\n5872 5873\n5873 5874\n5874 5875\n5875 5876\n5876 5877\n5877 5878\n5878 5879\n5879 5880\n5880 5881\n5881 5882\n5882 5883\n5883 5884\n5884 5885\n5885 5886\n5886 5887\n5887 5888\n5888 5889\n5889 5890\n5890 5891\n5891 5892\n5892 5893\n5893 5894\n5894 5895\n5895 5896\n5896 5897\n5897 5898\n5898 5899\n5899 5900\n5900 5901\n5901 5902\n5902 5903\n5903 5904\n5904 5905\n5905 5906\n5906 5907\n5907 5908\n5908 5909\n5909 5910\n5910 5911\n5911 5912\n5912 5913\n5913 5914\n5914 5915\n5915 5916\n5916 5917\n5917 5918\n5918 5919\n5919 5920\n5920 5921\n5921 5922\n5922 5923\n5923 5924\n5924 5925\n5925 5926\n5926 5927\n5927 5928\n5928 5929\n5929 5930\n5930 5931\n5931 5932\n5932 5933\n5933 5934\n5934 5935\n5935 5936\n5936 5937\n5937 5938\n5938 5939\n5939 5940\n5940 5941\n5941 5942\n5942 5943\n5943 5944\n5944 5945\n5945 5946\n5946 5947\n5947 5948\n5948 5949\n5949 5950\n5950 5951\n5951 5952\n5952 5953\n5953 5954\n5954 5955\n5955 5956\n5956 5957\n5957 5958\n5958 5959\n5959 5960\n5960 5961\n5961 5962\n5962 5963\n5963 5964\n5964 5965\n5965 5966\n5966 5967\n5967 5968\n5968 5969\n5969 5970\n5970 5971\n5971 5972\n5972 5973\n5973 5974\n5974 5975\n5975 5976\n5976 5977\n5977 5978\n5978 5979\n5979 5980\n5980 5981\n5981 5982\n5982 5983\n5983 5984\n5984 5985\n5985 5986\n5986 5987\n5987 5988\n5988 5989\n5989 5990\n5990 5991\n5991 5992\n5992 5993\n5993 5994\n5994 5995\n5995 5996\n5996 5997\n5997 5998\n5998 5999\n5999 6000\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n2 763\n2 764\n2 765\n2 766\n2 767\n2 768\n2 769\n2 770\n2 771\n2 772\n2 773\n2 774\n2 775\n2 776\n2 777\n2 778\n2 779\n2 780\n2 781\n2 782\n2 783\n2 784\n2 785\n2 786\n2 787\n2 788\n2 789\n2 790\n2 791\n2 792\n2 793\n2 794\n2 795\n2 796\n2 797\n2 798\n2 799\n2 800\n2 801\n2 802\n2 803\n2 804\n2 805\n2 806\n2 807\n2 808\n2 809\n2 810\n2 811\n2 812\n2 813\n2 814\n2 815\n2 816\n2 817\n2 818\n2 819\n2 820\n2 821\n2 822\n2 823\n2 824\n2 825\n2 826\n2 827\n2 828\n2 829\n2 830\n2 831\n2 832\n2 833\n2 834\n2 835\n2 836\n2 837\n2 838\n2 839\n2 840\n2 841\n2 842\n2 843\n2 844\n2 845\n2 846\n2 847\n2 848\n2 849\n2 850\n2 851\n2 852\n2 853\n2 854\n2 855\n2 856\n2 857\n2 858\n2 859\n2 860\n2 861\n2 862\n2 863\n2 864\n2 865\n2 866\n2 867\n2 868\n2 869\n2 870\n2 871\n2 872\n2 873\n2 874\n2 875\n2 876\n2 877\n2 878\n2 879\n2 880\n2 881\n2 882\n2 883\n2 884\n2 885\n2 886\n2 887\n2 888\n2 889\n2 890\n2 891\n2 892\n2 893\n2 894\n2 895\n2 896\n2 897\n2 898\n2 899\n2 900\n2 901\n2 902\n2 903\n2 904\n2 905\n2 906\n2 907\n2 908\n2 909\n2 910\n2 911\n2 912\n2 913\n2 914\n2 915\n2 916\n2 917\n2 918\n2 919\n2 920\n2 921\n2 922\n2 923\n2 924\n2 925\n2 926\n2 927\n2 928\n2 929\n2 930\n2 931\n2 932\n2 933\n2 934\n2 935\n2 936\n2 937\n2 938\n2 939\n2 940\n2 941\n2 942\n2 943\n2 944\n2 945\n2 946\n2 947\n2 948\n2 949\n2 950\n2 951\n2 952\n2 953\n2 954\n2 955\n2 956\n2 957\n2 958\n2 959\n2 960\n2 961\n2 962\n2 963\n2 964\n2 965\n2 966\n2 967\n2 968\n2 969\n2 970\n2 971\n2 972\n2 973\n2 974\n2 975\n2 976\n2 977\n2 978\n2 979\n2 980\n2 981\n2 982\n2 983\n2 984\n2 985\n2 986\n2 987\n2 988\n2 989\n2 990\n2 991\n2 992\n2 993\n2 994\n2 995\n2 996\n2 997\n2 998\n2 999\n2 1000\n2 1001\n2 1002\n2 1003\n2 1004\n2 1005\n2 1006\n2 1007\n2 1008\n2 1009\n2 1010\n2 1011\n2 1012\n2 1013\n2 1014\n2 1015\n2 1016\n2 1017\n2 1018\n2 1019\n2 1020\n2 1021\n2 1022\n2 1023\n2 1024\n2 1025\n2 1026\n2 1027\n2 1028\n2 1029\n2 1030\n2 1031\n2 1032\n2 1033\n2 1034\n2 1035\n2 1036\n2 1037\n2 1038\n2 1039\n2 1040\n2 1041\n2 1042\n2 1043\n2 1044\n2 1045\n2 1046\n2 1047\n2 1048\n2 1049\n2 1050\n2 1051\n2 1052\n2 1053\n2 1054\n2 1055\n2 1056\n2 1057\n2 1058\n2 1059\n2 1060\n2 1061\n2 1062\n2 1063\n2 1064\n2 1065\n2 1066\n2 1067\n2 1068\n2 1069\n2 1070\n2 1071\n2 1072\n2 1073\n2 1074\n2 1075\n2 1076\n2 1077\n2 1078\n2 1079\n2 1080\n2 1081\n2 1082\n2 1083\n2 1084\n2 1085\n2 1086\n2 1087\n2 1088\n2 1089\n2 1090\n2 1091\n2 1092\n2 1093\n2 1094\n2 1095\n2 1096\n2 1097\n2 1098\n2 1099\n2 1100\n2 1101\n2 1102\n2 1103\n2 1104\n2 1105\n2 1106\n2 1107\n2 1108\n2 1109\n2 1110\n2 1111\n2 1112\n2 1113\n2 1114\n2 1115\n2 1116\n2 1117\n2 1118\n2 1119\n2 1120\n2 1121\n2 1122\n2 1123\n2 1124\n2 1125\n2 1126\n2 1127\n2 1128\n2 1129\n2 1130\n2 1131\n2 1132\n2 1133\n2 1134\n2 1135\n2 1136\n2 1137\n2 1138\n2 1139\n2 1140\n2 1141\n2 1142\n2 1143\n2 1144\n2 1145\n2 1146\n2 1147\n2 1148\n2 1149\n2 1150\n2 1151\n2 1152\n2 1153\n2 1154\n2 1155\n2 1156\n2 1157\n2 1158\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n762 763\n763 764\n764 765\n765 766\n766 767\n767 768\n768 769\n769 770\n770 771\n771 772\n772 773\n773 774\n774 775\n775 776\n776 777\n777 778\n778 779\n779 780\n780 781\n781 782\n782 783\n783 784\n784 785\n785 786\n786 787\n787 788\n788 789\n789 790\n790 791\n791 792\n792 793\n793 794\n794 795\n795 796\n796 797\n797 798\n798 799\n799 800\n800 801\n801 802\n802 803\n803 804\n804 805\n805 806\n806 807\n807 808\n808 809\n809 810\n810 811\n811 812\n812 813\n813 814\n814 815\n815 816\n816 817\n817 818\n818 819\n819 820\n820 821\n821 822\n822 823\n823 824\n824 825\n825 826\n826 827\n827 828\n828 829\n829 830\n830 831\n831 832\n832 833\n833 834\n834 835\n835 836\n836 837\n837 838\n838 839\n839 840\n840 841\n841 842\n842 843\n843 844\n844 845\n845 846\n846 847\n847 848\n848 849\n849 850\n850 851\n851 852\n852 853\n853 854\n854 855\n855 856\n856 857\n857 858\n858 859\n859 860\n860 861\n861 862\n862 863\n863 864\n864 865\n865 866\n866 867\n867 868\n868 869\n869 870\n870 871\n871 872\n872 873\n873 874\n874 875\n875 876\n876 877\n877 878\n878 879\n879 880\n880 881\n881 882\n882 883\n883 884\n884 885\n885 886\n886 887\n887 888\n888 889\n889 890\n890 891\n891 892\n892 893\n893 894\n894 895\n895 896\n896 897\n897 898\n898 899\n899 900\n900 901\n901 902\n902 903\n903 904\n904 905\n905 906\n906 907\n907 908\n908 909\n909 910\n910 911\n911 912\n912 913\n913 914\n914 915\n915 916\n916 917\n917 918\n918 919\n919 920\n920 921\n921 922\n922 923\n923 924\n924 925\n925 926\n926 927\n927 928\n928 929\n929 930\n930 931\n931 932\n932 933\n933 934\n934 935\n935 936\n936 937\n937 938\n938 939\n939 940\n940 941\n941 942\n942 943\n943 944\n944 945\n945 946\n946 947\n947 948\n948 949\n949 950\n950 951\n951 952\n952 953\n953 954\n954 955\n955 956\n956 957\n957 958\n958 959\n959 960\n960 961\n961 962\n962 963\n963 964\n964 965\n965 966\n966 967\n967 968\n968 969\n969 970\n970 971\n971 972\n972 973\n973 974\n974 975\n975 976\n976 977\n977 978\n978 979\n979 980\n980 981\n981 982\n982 983\n983 984\n984 985\n985 986\n986 987\n987 988\n988 989\n989 990\n990 991\n991 992\n992 993\n993 994\n994 995\n995 996\n996 997\n997 998\n998 999\n999 1000\n1000 1001\n1001 1002\n1002 1003\n1003 1004\n1004 1005\n1005 1006\n1006 1007\n1007 1008\n1008 1009\n1009 1010\n1010 1011\n1011 1012\n1012 1013\n1013 1014\n1014 1015\n1015 1016\n1016 1017\n1017 1018\n1018 1019\n1019 1020\n1020 1021\n1021 1022\n1022 1023\n1023 1024\n1024 1025\n1025 1026\n1026 1027\n1027 1028\n1028 1029\n1029 1030\n1030 1031\n1031 1032\n1032 1033\n1033 1034\n1034 1035\n1035 1036\n1036 1037\n1037 1038\n1038 1039\n1039 1040\n1040 1041\n1041 1042\n1042 1043\n1043 1044\n1044 1045\n1045 1046\n1046 1047\n1047 1048\n1048 1049\n1049 1050\n1050 1051\n1051 1052\n1052 1053\n1053 1054\n1054 1055\n1055 1056\n1056 1057\n1057 1058\n1058 1059\n1059 1060\n1060 1061\n1061 1062\n1062 1063\n1063 1064\n1064 1065\n1065 1066\n1066 1067\n1067 1068\n1068 1069\n1069 1070\n1070 1071\n1071 1072\n1072 1073\n1073 1074\n1074 1075\n1075 1076\n1076 1077\n1077 1078\n1078 1079\n1079 1080\n1080 1081\n1081 1082\n1082 1083\n1083 1084\n1084 1085\n1085 1086\n1086 1087\n1087 1088\n1088 1089\n1089 1090\n1090 1091\n1091 1092\n1092 1093\n1093 1094\n1094 1095\n1095 1096\n1096 1097\n1097 1098\n1098 1099\n1099 1100\n1100 1101\n1101 1102\n1102 1103\n1103 1104\n1104 1105\n1105 1106\n1106 1107\n1107 1108\n1108 1109\n1109 1110\n1110 1111\n1111 1112\n1112 1113\n1113 1114\n1114 1115\n1115 1116\n1116 1117\n1117 1118\n1118 1119\n1119 1120\n1120 1121\n1121 1122\n1122 1123\n1123 1124\n1124 1125\n1125 1126\n1126 1127\n1127 1128\n1128 1129\n1129 1130\n1130 1131\n1131 1132\n1132 1133\n1133 1134\n1134 1135\n1135 1136\n1136 1137\n1137 1138\n1138 1139\n1139 1140\n1140 1141\n1141 1142\n1142 1143\n1143 1144\n1144 1145\n1145 1146\n1146 1147\n1147 1148\n1148 1149\n1149 1150\n1150 1151\n1151 1152\n1152 1153\n1153 1154\n1154 1155\n1155 1156\n1156 1157\n1157 1158\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n2 11\n2 12\n2 13\n2 14\n2 15\n2 16\n2 17\n2 18\n2 19\n2 20\n2 21\n2 22\n2 23\n2 24\n2 25\n2 26\n2 27\n2 28\n2 29\n2 30\n2 31\n2 32\n2 33\n2 34\n2 35\n2 36\n2 37\n2 38\n2 39\n2 40\n2 41\n2 42\n2 43\n2 44\n2 45\n2 46\n2 47\n2 48\n2 49\n2 50\n2 51\n2 52\n2 53\n2 54\n2 55\n2 56\n2 57\n2 58\n2 59\n2 60\n2 61\n2 62\n2 63\n2 64\n2 65\n2 66\n2 67\n2 68\n2 69\n2 70\n2 71\n2 72\n2 73\n2 74\n2 75\n2 76\n2 77\n2 78\n2 79\n2 80\n2 81\n2 82\n2 83\n2 84\n2 85\n2 86\n2 87\n2 88\n2 89\n2 90\n2 91\n2 92\n2 93\n2 94\n2 95\n2 96\n2 97\n2 98\n2 99\n2 100\n2 101\n2 102\n2 103\n2 104\n2 105\n2 106\n2 107\n2 108\n2 109\n2 110\n2 111\n2 112\n2 113\n2 114\n2 115\n2 116\n2 117\n2 118\n2 119\n2 120\n2 121\n2 122\n2 123\n2 124\n2 125\n2 126\n2 127\n2 128\n2 129\n2 130\n2 131\n2 132\n2 133\n2 134\n2 135\n2 136\n2 137\n2 138\n2 139\n2 140\n2 141\n2 142\n2 143\n2 144\n2 145\n2 146\n2 147\n2 148\n2 149\n2 150\n2 151\n2 152\n2 153\n2 154\n2 155\n2 156\n2 157\n2 158\n2 159\n2 160\n2 161\n2 162\n2 163\n2 164\n2 165\n2 166\n2 167\n2 168\n2 169\n2 170\n2 171\n2 172\n2 173\n2 174\n2 175\n2 176\n2 177\n2 178\n2 179\n2 180\n2 181\n2 182\n2 183\n2 184\n2 185\n2 186\n2 187\n2 188\n2 189\n2 190\n2 191\n2 192\n2 193\n2 194\n2 195\n2 196\n2 197\n2 198\n2 199\n2 200\n2 201\n2 202\n2 203\n2 204\n2 205\n2 206\n2 207\n2 208\n2 209\n2 210\n2 211\n2 212\n2 213\n2 214\n2 215\n2 216\n2 217\n2 218\n2 219\n2 220\n2 221\n2 222\n2 223\n2 224\n2 225\n2 226\n2 227\n2 228\n2 229\n2 230\n2 231\n2 232\n2 233\n2 234\n2 235\n2 236\n2 237\n2 238\n2 239\n2 240\n2 241\n2 242\n2 243\n2 244\n2 245\n2 246\n2 247\n2 248\n2 249\n2 250\n2 251\n2 252\n2 253\n2 254\n2 255\n2 256\n2 257\n2 258\n2 259\n2 260\n2 261\n2 262\n2 263\n2 264\n2 265\n2 266\n2 267\n2 268\n2 269\n2 270\n2 271\n2 272\n2 273\n2 274\n2 275\n2 276\n2 277\n2 278\n2 279\n2 280\n2 281\n2 282\n2 283\n2 284\n2 285\n2 286\n2 287\n2 288\n2 289\n2 290\n2 291\n2 292\n2 293\n2 294\n2 295\n2 296\n2 297\n2 298\n2 299\n2 300\n2 301\n2 302\n2 303\n2 304\n2 305\n2 306\n2 307\n2 308\n2 309\n2 310\n2 311\n2 312\n2 313\n2 314\n2 315\n2 316\n2 317\n2 318\n2 319\n2 320\n2 321\n2 322\n2 323\n2 324\n2 325\n2 326\n2 327\n2 328\n2 329\n2 330\n2 331\n2 332\n2 333\n2 334\n2 335\n2 336\n2 337\n2 338\n2 339\n2 340\n2 341\n2 342\n2 343\n2 344\n2 345\n2 346\n2 347\n2 348\n2 349\n2 350\n2 351\n2 352\n2 353\n2 354\n2 355\n2 356\n2 357\n2 358\n2 359\n2 360\n2 361\n2 362\n2 363\n2 364\n2 365\n2 366\n2 367\n2 368\n2 369\n2 370\n2 371\n2 372\n2 373\n2 374\n2 375\n2 376\n2 377\n2 378\n2 379\n2 380\n2 381\n2 382\n2 383\n2 384\n2 385\n2 386\n2 387\n2 388\n2 389\n2 390\n2 391\n2 392\n2 393\n2 394\n2 395\n2 396\n2 397\n2 398\n2 399\n2 400\n2 401\n2 402\n2 403\n2 404\n2 405\n2 406\n2 407\n2 408\n2 409\n2 410\n2 411\n2 412\n2 413\n2 414\n2 415\n2 416\n2 417\n2 418\n2 419\n2 420\n2 421\n2 422\n2 423\n2 424\n2 425\n2 426\n2 427\n2 428\n2 429\n2 430\n2 431\n2 432\n2 433\n2 434\n2 435\n2 436\n2 437\n2 438\n2 439\n2 440\n2 441\n2 442\n2 443\n2 444\n2 445\n2 446\n2 447\n2 448\n2 449\n2 450\n2 451\n2 452\n2 453\n2 454\n2 455\n2 456\n2 457\n2 458\n2 459\n2 460\n2 461\n2 462\n2 463\n2 464\n2 465\n2 466\n2 467\n2 468\n2 469\n2 470\n2 471\n2 472\n2 473\n2 474\n2 475\n2 476\n2 477\n2 478\n2 479\n2 480\n2 481\n2 482\n2 483\n2 484\n2 485\n2 486\n2 487\n2 488\n2 489\n2 490\n2 491\n2 492\n2 493\n2 494\n2 495\n2 496\n2 497\n2 498\n2 499\n2 500\n2 501\n2 502\n2 503\n2 504\n2 505\n2 506\n2 507\n2 508\n2 509\n2 510\n2 511\n2 512\n2 513\n2 514\n2 515\n2 516\n2 517\n2 518\n2 519\n2 520\n2 521\n2 522\n2 523\n2 524\n2 525\n2 526\n2 527\n2 528\n2 529\n2 530\n2 531\n2 532\n2 533\n2 534\n2 535\n2 536\n2 537\n2 538\n2 539\n2 540\n2 541\n2 542\n2 543\n2 544\n2 545\n2 546\n2 547\n2 548\n2 549\n2 550\n2 551\n2 552\n2 553\n2 554\n2 555\n2 556\n2 557\n2 558\n2 559\n2 560\n2 561\n2 562\n2 563\n2 564\n2 565\n2 566\n2 567\n2 568\n2 569\n2 570\n2 571\n2 572\n2 573\n2 574\n2 575\n2 576\n2 577\n2 578\n2 579\n2 580\n2 581\n2 582\n2 583\n2 584\n2 585\n2 586\n2 587\n2 588\n2 589\n2 590\n2 591\n2 592\n2 593\n2 594\n2 595\n2 596\n2 597\n2 598\n2 599\n2 600\n2 601\n2 602\n2 603\n2 604\n2 605\n2 606\n2 607\n2 608\n2 609\n2 610\n2 611\n2 612\n2 613\n2 614\n2 615\n2 616\n2 617\n2 618\n2 619\n2 620\n2 621\n2 622\n2 623\n2 624\n2 625\n2 626\n2 627\n2 628\n2 629\n2 630\n2 631\n2 632\n2 633\n2 634\n2 635\n2 636\n2 637\n2 638\n2 639\n2 640\n2 641\n2 642\n2 643\n2 644\n2 645\n2 646\n2 647\n2 648\n2 649\n2 650\n2 651\n2 652\n2 653\n2 654\n2 655\n2 656\n2 657\n2 658\n2 659\n2 660\n2 661\n2 662\n2 663\n2 664\n2 665\n2 666\n2 667\n2 668\n2 669\n2 670\n2 671\n2 672\n2 673\n2 674\n2 675\n2 676\n2 677\n2 678\n2 679\n2 680\n2 681\n2 682\n2 683\n2 684\n2 685\n2 686\n2 687\n2 688\n2 689\n2 690\n2 691\n2 692\n2 693\n2 694\n2 695\n2 696\n2 697\n2 698\n2 699\n2 700\n2 701\n2 702\n2 703\n2 704\n2 705\n2 706\n2 707\n2 708\n2 709\n2 710\n2 711\n2 712\n2 713\n2 714\n2 715\n2 716\n2 717\n2 718\n2 719\n2 720\n2 721\n2 722\n2 723\n2 724\n2 725\n2 726\n2 727\n2 728\n2 729\n2 730\n2 731\n2 732\n2 733\n2 734\n2 735\n2 736\n2 737\n2 738\n2 739\n2 740\n2 741\n2 742\n2 743\n2 744\n2 745\n2 746\n2 747\n2 748\n2 749\n2 750\n2 751\n2 752\n2 753\n2 754\n2 755\n2 756\n2 757\n2 758\n2 759\n2 760\n2 761\n2 762\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n53 54\n54 55\n55 56\n56 57\n57 58\n58 59\n59 60\n60 61\n61 62\n62 63\n63 64\n64 65\n65 66\n66 67\n67 68\n68 69\n69 70\n70 71\n71 72\n72 73\n73 74\n74 75\n75 76\n76 77\n77 78\n78 79\n79 80\n80 81\n81 82\n82 83\n83 84\n84 85\n85 86\n86 87\n87 88\n88 89\n89 90\n90 91\n91 92\n92 93\n93 94\n94 95\n95 96\n96 97\n97 98\n98 99\n99 100\n100 101\n101 102\n102 103\n103 104\n104 105\n105 106\n106 107\n107 108\n108 109\n109 110\n110 111\n111 112\n112 113\n113 114\n114 115\n115 116\n116 117\n117 118\n118 119\n119 120\n120 121\n121 122\n122 123\n123 124\n124 125\n125 126\n126 127\n127 128\n128 129\n129 130\n130 131\n131 132\n132 133\n133 134\n134 135\n135 136\n136 137\n137 138\n138 139\n139 140\n140 141\n141 142\n142 143\n143 144\n144 145\n145 146\n146 147\n147 148\n148 149\n149 150\n150 151\n151 152\n152 153\n153 154\n154 155\n155 156\n156 157\n157 158\n158 159\n159 160\n160 161\n161 162\n162 163\n163 164\n164 165\n165 166\n166 167\n167 168\n168 169\n169 170\n170 171\n171 172\n172 173\n173 174\n174 175\n175 176\n176 177\n177 178\n178 179\n179 180\n180 181\n181 182\n182 183\n183 184\n184 185\n185 186\n186 187\n187 188\n188 189\n189 190\n190 191\n191 192\n192 193\n193 194\n194 195\n195 196\n196 197\n197 198\n198 199\n199 200\n200 201\n201 202\n202 203\n203 204\n204 205\n205 206\n206 207\n207 208\n208 209\n209 210\n210 211\n211 212\n212 213\n213 214\n214 215\n215 216\n216 217\n217 218\n218 219\n219 220\n220 221\n221 222\n222 223\n223 224\n224 225\n225 226\n226 227\n227 228\n228 229\n229 230\n230 231\n231 232\n232 233\n233 234\n234 235\n235 236\n236 237\n237 238\n238 239\n239 240\n240 241\n241 242\n242 243\n243 244\n244 245\n245 246\n246 247\n247 248\n248 249\n249 250\n250 251\n251 252\n252 253\n253 254\n254 255\n255 256\n256 257\n257 258\n258 259\n259 260\n260 261\n261 262\n262 263\n263 264\n264 265\n265 266\n266 267\n267 268\n268 269\n269 270\n270 271\n271 272\n272 273\n273 274\n274 275\n275 276\n276 277\n277 278\n278 279\n279 280\n280 281\n281 282\n282 283\n283 284\n284 285\n285 286\n286 287\n287 288\n288 289\n289 290\n290 291\n291 292\n292 293\n293 294\n294 295\n295 296\n296 297\n297 298\n298 299\n299 300\n300 301\n301 302\n302 303\n303 304\n304 305\n305 306\n306 307\n307 308\n308 309\n309 310\n310 311\n311 312\n312 313\n313 314\n314 315\n315 316\n316 317\n317 318\n318 319\n319 320\n320 321\n321 322\n322 323\n323 324\n324 325\n325 326\n326 327\n327 328\n328 329\n329 330\n330 331\n331 332\n332 333\n333 334\n334 335\n335 336\n336 337\n337 338\n338 339\n339 340\n340 341\n341 342\n342 343\n343 344\n344 345\n345 346\n346 347\n347 348\n348 349\n349 350\n350 351\n351 352\n352 353\n353 354\n354 355\n355 356\n356 357\n357 358\n358 359\n359 360\n360 361\n361 362\n362 363\n363 364\n364 365\n365 366\n366 367\n367 368\n368 369\n369 370\n370 371\n371 372\n372 373\n373 374\n374 375\n375 376\n376 377\n377 378\n378 379\n379 380\n380 381\n381 382\n382 383\n383 384\n384 385\n385 386\n386 387\n387 388\n388 389\n389 390\n390 391\n391 392\n392 393\n393 394\n394 395\n395 396\n396 397\n397 398\n398 399\n399 400\n400 401\n401 402\n402 403\n403 404\n404 405\n405 406\n406 407\n407 408\n408 409\n409 410\n410 411\n411 412\n412 413\n413 414\n414 415\n415 416\n416 417\n417 418\n418 419\n419 420\n420 421\n421 422\n422 423\n423 424\n424 425\n425 426\n426 427\n427 428\n428 429\n429 430\n430 431\n431 432\n432 433\n433 434\n434 435\n435 436\n436 437\n437 438\n438 439\n439 440\n440 441\n441 442\n442 443\n443 444\n444 445\n445 446\n446 447\n447 448\n448 449\n449 450\n450 451\n451 452\n452 453\n453 454\n454 455\n455 456\n456 457\n457 458\n458 459\n459 460\n460 461\n461 462\n462 463\n463 464\n464 465\n465 466\n466 467\n467 468\n468 469\n469 470\n470 471\n471 472\n472 473\n473 474\n474 475\n475 476\n476 477\n477 478\n478 479\n479 480\n480 481\n481 482\n482 483\n483 484\n484 485\n485 486\n486 487\n487 488\n488 489\n489 490\n490 491\n491 492\n492 493\n493 494\n494 495\n495 496\n496 497\n497 498\n498 499\n499 500\n500 501\n501 502\n502 503\n503 504\n504 505\n505 506\n506 507\n507 508\n508 509\n509 510\n510 511\n511 512\n512 513\n513 514\n514 515\n515 516\n516 517\n517 518\n518 519\n519 520\n520 521\n521 522\n522 523\n523 524\n524 525\n525 526\n526 527\n527 528\n528 529\n529 530\n530 531\n531 532\n532 533\n533 534\n534 535\n535 536\n536 537\n537 538\n538 539\n539 540\n540 541\n541 542\n542 543\n543 544\n544 545\n545 546\n546 547\n547 548\n548 549\n549 550\n550 551\n551 552\n552 553\n553 554\n554 555\n555 556\n556 557\n557 558\n558 559\n559 560\n560 561\n561 562\n562 563\n563 564\n564 565\n565 566\n566 567\n567 568\n568 569\n569 570\n570 571\n571 572\n572 573\n573 574\n574 575\n575 576\n576 577\n577 578\n578 579\n579 580\n580 581\n581 582\n582 583\n583 584\n584 585\n585 586\n586 587\n587 588\n588 589\n589 590\n590 591\n591 592\n592 593\n593 594\n594 595\n595 596\n596 597\n597 598\n598 599\n599 600\n600 601\n601 602\n602 603\n603 604\n604 605\n605 606\n606 607\n607 608\n608 609\n609 610\n610 611\n611 612\n612 613\n613 614\n614 615\n615 616\n616 617\n617 618\n618 619\n619 620\n620 621\n621 622\n622 623\n623 624\n624 625\n625 626\n626 627\n627 628\n628 629\n629 630\n630 631\n631 632\n632 633\n633 634\n634 635\n635 636\n636 637\n637 638\n638 639\n639 640\n640 641\n641 642\n642 643\n643 644\n644 645\n645 646\n646 647\n647 648\n648 649\n649 650\n650 651\n651 652\n652 653\n653 654\n654 655\n655 656\n656 657\n657 658\n658 659\n659 660\n660 661\n661 662\n662 663\n663 664\n664 665\n665 666\n666 667\n667 668\n668 669\n669 670\n670 671\n671 672\n672 673\n673 674\n674 675\n675 676\n676 677\n677 678\n678 679\n679 680\n680 681\n681 682\n682 683\n683 684\n684 685\n685 686\n686 687\n687 688\n688 689\n689 690\n690 691\n691 692\n692 693\n693 694\n694 695\n695 696\n696 697\n697 698\n698 699\n699 700\n700 701\n701 702\n702 703\n703 704\n704 705\n705 706\n706 707\n707 708\n708 709\n709 710\n710 711\n711 712\n712 713\n713 714\n714 715\n715 716\n716 717\n717 718\n718 719\n719 720\n720 721\n721 722\n722 723\n723 724\n724 725\n725 726\n726 727\n727 728\n728 729\n729 730\n730 731\n731 732\n732 733\n733 734\n734 735\n735 736\n736 737\n737 738\n738 739\n739 740\n740 741\n741 742\n742 743\n743 744\n744 745\n745 746\n746 747\n747 748\n748 749\n749 750\n750 751\n751 752\n752 753\n753 754\n754 755\n755 756\n756 757\n757 758\n758 759\n759 760\n760 761\n761 762\n", "-1\n", "-1\n", "1 2\n1 3\n1 4\n2 5\n2 6\n2 7\n2 8\n2 9\n2 10\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n", "-1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Mahmoud was trying to solve the vertex cover problem on trees. The problem statement is: Given an undirected tree consisting of n nodes, find the minimum number of vertices that cover all the edges. Formally, we need to find a set of vertices such that for each edge (u, v) that belongs to the tree, either u is in the set, or v is in the set, or both are in the set. Mahmoud has found the following algorithm: * Root the tree at node 1. * Count the number of nodes at an even depth. Let it be evenCnt. * Count the number of nodes at an odd depth. Let it be oddCnt. * The answer is the minimum between evenCnt and oddCnt. The depth of a node in a tree is the number of edges in the shortest path between this node and the root. The depth of the root is 0. Ehab told Mahmoud that this algorithm is wrong, but he didn't believe because he had tested his algorithm against many trees and it worked, so Ehab asked you to find 2 trees consisting of n nodes. The algorithm should find an incorrect answer for the first tree and a correct answer for the second one. Input The only line contains an integer n (2 ≤ n ≤ 105), the number of nodes in the desired trees. Output The output should consist of 2 independent sections, each containing a tree. The algorithm should find an incorrect answer for the tree in the first section and a correct answer for the tree in the second. If a tree doesn't exist for some section, output "-1" (without quotes) for that section only. If the answer for a section exists, it should contain n - 1 lines, each containing 2 space-separated integers u and v (1 ≤ u, v ≤ n), which means that there's an undirected edge between node u and node v. If the given graph isn't a tree or it doesn't follow the format, you'll receive wrong answer verdict. If there are multiple answers, you can print any of them. Examples Input 2 Output -1 1 2 Input 8 Output 1 2 1 3 2 4 2 5 3 6 4 7 4 8 1 2 1 3 2 4 2 5 2 6 3 7 6 8 Note In the first sample, there is only 1 tree with 2 nodes (node 1 connected to node 2). The algorithm will produce a correct answer in it so we printed - 1 in the first section, but notice that we printed this tree in the second section. In the second sample: In the first tree, the algorithm will find an answer with 4 nodes, while there exists an answer with 3 nodes like this: <image> In the second tree, the algorithm will find an answer with 3 nodes which is correct: <image> ### Input: 8 ### Output: 1 2 1 3 1 4 2 5 2 6 2 7 2 8 1 2 1 3 1 4 1 5 1 6 1 7 1 8 ### Input: 2 ### Output: -1 1 2 ### Code: n = int(input()) if n <= 5: print(-1) else: print('1 2', '1 3', '1 4', '2 5', sep = '\n') for i in range(6, n + 1): print('2 {0:d}'.format(i)) for i in range(2, n + 1): print('1 {0:d}'.format(i))
p02581 AtCoder Beginner Contest 176 - Brave CHAIN_34728
We have 3N cards arranged in a row from left to right, where each card has an integer between 1 and N (inclusive) written on it. The integer written on the i-th card from the left is A_i. You will do the following operation N-1 times: * Rearrange the five leftmost cards in any order you like, then remove the three leftmost cards. If the integers written on those three cards are all equal, you gain 1 point. After these N-1 operations, if the integers written on the remaining three cards are all equal, you will gain 1 additional point. Find the maximum number of points you can gain. Constraints * 1 \leq N \leq 2000 * 1 \leq A_i \leq N Input Input is given from Standard Input in the following format: N A_1 A_2 \cdots A_{3N} Output Print the maximum number of points you can gain. Examples Input 2 1 2 1 2 2 1 Output 2 Input 3 1 1 2 2 3 3 3 2 1 Output 1 Input 3 1 1 2 2 2 3 3 3 1 Output 3
N = int(input()) A = [int(a) for a in input().split()] + [0] * 2 X = [[-10**10] * (N+1) for _ in range(N+1)] X[A[0]][A[1]] = 0 ans = 0 ma = 0 MA = [-5] * (N+1) MA[A[0]] = MA[A[1]] = 0 for i in range(N): B = A[i*3+2:i*3+5] cnt = len(set(B)) if cnt == 1: ans += 1 elif cnt == 2: a1 = B[0]^B[1]^B[2] a2 = (sum(B) - a1) // 2 X[a1], X[a1][a2], X[a2][a2] = [max(X[a2][j] + 1, X[j][a2] + 1, MA[j]) for j in range(N+1)], max(ma, X[a2][a2] + 1), max(ma, X[a1][a1] + 1) X[a2] = [max(x, m) for x, m in zip(X[a2], MA)] MA = [max(m, x1, x2) for m, x1, x2 in zip(MA, X[a1], X[a2])] MA[a1] = max(MA[a1], max(X[a1])) MA[a2] = max(MA[a2], X[a1][a2], X[a2][a2]) ma = max(ma, MA[a1], MA[a2]) else: a, b, c = B X[a][b], X[a][c], X[b][c] = max(ma, X[c][c] + 1), max(ma, X[b][b] + 1), max(ma, X[a][a] + 1) X[a] = [max(x, m) for x, m in zip(X[a], MA)] X[b] = [max(x, m) for x, m in zip(X[b], MA)] X[c] = [max(x, m) for x, m in zip(X[c], MA)] MA[a] = max(MA[a], max(X[a])) MA[b] = max(MA[b], X[a][b], max(X[b])) MA[c] = max(MA[c], X[a][c], X[b][c], max(X[c])) MA = [max(m, xa, xb, xc) for m, xa, xb, xc in zip(MA, X[a], X[b], X[c])] ma = max(ma, MA[a], MA[b], MA[c]) print(ans + max(ma, max(max(x) for x in X)))
{ "input": [ "3\n1 1 2 2 2 3 3 3 1", "3\n1 1 2 2 3 3 3 2 1", "2\n1 2 1 2 2 1", "3\n0 1 2 2 2 3 3 3 1", "2\n1 2 1 1 2 1", "3\n1 1 2 1 2 3 3 3 2", "2\n3 3 1 2 2 1", "3\n1 1 2 2 2 3 3 3 2", "2\n2 2 1 1 2 1", "2\n2 1 1 1 2 1", "2\n1 2 1 0 2 1", "3\n0 1 1 2 2 3 3 3 1", "2\n1 2 1 0 2 2", "3\n1 1 2 1 2 2 3 3 2", "3\n0 1 1 2 2 3 3 3 2", "3\n1 1 2 1 2 2 3 4 2", "3\n0 0 1 2 2 3 3 3 2", "3\n1 1 2 1 2 3 3 4 2", "3\n0 0 1 2 2 3 3 2 2", "3\n0 1 2 2 2 3 2 3 1", "3\n1 1 2 2 3 1 3 2 1", "2\n1 2 1 2 1 1", "2\n1 1 1 2 2 1", "3\n0 1 2 2 2 3 3 3 2", "2\n2 1 1 0 2 1", "2\n1 2 1 0 4 1", "3\n1 1 2 1 2 2 3 3 3", "3\n0 1 1 2 2 3 2 3 2", "3\n0 1 2 1 2 2 3 4 2", "3\n0 1 1 2 2 3 3 2 2", "2\n2 2 1 2 1 1", "2\n1 1 0 2 2 1", "3\n1 1 2 1 2 2 3 2 3", "3\n0 1 2 1 2 2 0 4 2", "2\n3 2 1 2 1 1", "3\n1 1 2 1 1 2 3 2 3", "3\n0 1 2 1 2 3 0 4 2", "3\n-1 1 2 1 2 3 0 4 2", "3\n1 1 2 2 2 3 3 0 1", "2\n1 2 1 2 0 1", "2\n1 1 1 1 2 1", "2\n3 1 1 1 2 1", "3\n0 2 1 2 2 3 3 3 2", "3\n1 1 2 1 2 4 3 3 2", "3\n0 1 1 2 2 3 3 3 3", "3\n1 0 1 2 2 3 3 3 2", "3\n1 1 2 1 2 0 3 4 2", "3\n0 0 1 2 2 3 4 2 2", "2\n1 2 1 2 1 0", "2\n2 1 1 0 4 1", "3\n0 1 1 2 2 3 2 1 2", "3\n0 1 2 1 2 3 3 4 2", "3\n0 1 1 2 2 3 3 0 2", "2\n1 2 2 2 1 1", "2\n1 1 0 2 0 1", "3\n1 1 2 2 2 2 3 2 3", "3\n0 1 2 1 2 0 0 4 2", "3\n2 1 2 1 1 2 3 2 3", "3\n1 1 2 1 2 3 0 4 2", "3\n-1 0 2 1 2 3 0 4 2", "3\n1 1 2 2 2 3 2 0 1", "2\n1 1 1 1 1 1", "2\n3 1 1 1 1 1", "3\n0 2 2 2 2 3 3 3 2", "3\n1 1 2 1 2 4 3 2 2", "3\n1 1 2 1 2 1 3 4 2", "3\n0 0 1 2 2 3 4 2 3", "3\n0 1 1 2 2 3 2 2 2", "3\n1 1 2 1 2 3 2 4 2", "3\n0 1 1 2 2 6 3 0 2", "2\n1 2 0 2 1 1", "2\n1 1 0 2 0 0", "3\n0 1 2 1 2 0 1 4 2", "3\n2 0 2 1 1 2 3 2 3", "2\n6 1 1 1 1 1", "3\n1 1 2 1 2 6 0 4 2", "2\n6 2 1 1 1 1", "3\n1 1 2 1 2 2 0 4 2", "3\n1 1 2 0 2 3 3 3 1", "3\n0 1 2 2 1 3 3 3 1", "2\n1 2 1 2 4 1", "3\n2 1 2 2 2 3 3 3 2", "2\n3 2 1 1 2 1", "3\n0 1 2 1 2 3 3 3 2", "3\n0 1 1 3 2 3 3 3 1", "3\n1 1 4 1 2 2 3 3 2", "3\n1 1 3 1 2 2 3 4 2", "3\n0 0 1 2 2 3 5 3 2", "3\n1 1 2 1 2 3 4 4 2", "3\n0 0 1 2 2 3 3 2 1", "2\n1 1 1 2 2 2", "2\n4 1 1 0 2 1", "2\n1 3 1 0 4 1", "3\n0 1 2 1 2 2 3 3 3", "3\n0 1 1 2 2 4 2 3 2", "2\n1 1 0 2 3 1", "3\n2 1 2 1 2 2 3 2 3", "3\n0 1 2 1 3 2 0 4 2", "2\n1 2 1 2 0 2", "2\n0 1 1 1 2 1", "3\n1 0 1 2 2 3 3 3 1", "3\n0 1 1 2 2 3 4 2 2", "3\n0 1 1 2 2 3 2 1 3" ], "output": [ "3", "1", "2", "2\n", "1\n", "3\n", "0\n", "2\n", "2\n", "1\n", "1\n", "2\n", "1\n", "2\n", "2\n", "2\n", "2\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "2\n", "1\n", "1\n", "3\n", "1\n", "1\n", "1\n", "2\n", "1\n", "2\n", "1\n", "1\n", "2\n", "1\n", "1\n", "2\n", "1\n", "1\n", "1\n", "2\n", "2\n", "1\n", "2\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "2\n", "1\n", "1\n", "1\n", "2\n", "2\n", "1\n", "2\n", "2\n", "1\n", "2\n", "2\n", "2\n", "1\n", "1\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "2\n", "1\n", "2\n", "2\n", "2\n", "1\n", "2\n", "1\n", "2\n", "2\n", "2\n", "2\n", "1\n", "2\n", "1\n", "2\n", "1\n", "1\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "2\n", "1\n", "1\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: We have 3N cards arranged in a row from left to right, where each card has an integer between 1 and N (inclusive) written on it. The integer written on the i-th card from the left is A_i. You will do the following operation N-1 times: * Rearrange the five leftmost cards in any order you like, then remove the three leftmost cards. If the integers written on those three cards are all equal, you gain 1 point. After these N-1 operations, if the integers written on the remaining three cards are all equal, you will gain 1 additional point. Find the maximum number of points you can gain. Constraints * 1 \leq N \leq 2000 * 1 \leq A_i \leq N Input Input is given from Standard Input in the following format: N A_1 A_2 \cdots A_{3N} Output Print the maximum number of points you can gain. Examples Input 2 1 2 1 2 2 1 Output 2 Input 3 1 1 2 2 3 3 3 2 1 Output 1 Input 3 1 1 2 2 2 3 3 3 1 Output 3 ### Input: 3 1 1 2 2 2 3 3 3 1 ### Output: 3 ### Input: 3 1 1 2 2 3 3 3 2 1 ### Output: 1 ### Code: N = int(input()) A = [int(a) for a in input().split()] + [0] * 2 X = [[-10**10] * (N+1) for _ in range(N+1)] X[A[0]][A[1]] = 0 ans = 0 ma = 0 MA = [-5] * (N+1) MA[A[0]] = MA[A[1]] = 0 for i in range(N): B = A[i*3+2:i*3+5] cnt = len(set(B)) if cnt == 1: ans += 1 elif cnt == 2: a1 = B[0]^B[1]^B[2] a2 = (sum(B) - a1) // 2 X[a1], X[a1][a2], X[a2][a2] = [max(X[a2][j] + 1, X[j][a2] + 1, MA[j]) for j in range(N+1)], max(ma, X[a2][a2] + 1), max(ma, X[a1][a1] + 1) X[a2] = [max(x, m) for x, m in zip(X[a2], MA)] MA = [max(m, x1, x2) for m, x1, x2 in zip(MA, X[a1], X[a2])] MA[a1] = max(MA[a1], max(X[a1])) MA[a2] = max(MA[a2], X[a1][a2], X[a2][a2]) ma = max(ma, MA[a1], MA[a2]) else: a, b, c = B X[a][b], X[a][c], X[b][c] = max(ma, X[c][c] + 1), max(ma, X[b][b] + 1), max(ma, X[a][a] + 1) X[a] = [max(x, m) for x, m in zip(X[a], MA)] X[b] = [max(x, m) for x, m in zip(X[b], MA)] X[c] = [max(x, m) for x, m in zip(X[c], MA)] MA[a] = max(MA[a], max(X[a])) MA[b] = max(MA[b], X[a][b], max(X[b])) MA[c] = max(MA[c], X[a][c], X[b][c], max(X[c])) MA = [max(m, xa, xb, xc) for m, xa, xb, xc in zip(MA, X[a], X[b], X[c])] ma = max(ma, MA[a], MA[b], MA[c]) print(ans + max(ma, max(max(x) for x in X)))
p02712 AtCoder Beginner Contest 162 - FizzBuzz Sum_34732
Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
N = int(input()) s = sum([i for i in range(1, N+1) if ((i%3)!=0) and ((i%5)!=0)]) print(s)
{ "input": [ "1000000", "15", "1100000", "16", "1110000", "23", "1110010", "3", "1111010", "1111110", "4", "8", "1", "7", "14", "19", "12", "0", "1000100", "18", "1101000", "39", "1010010", "1111111", "26", "1101100", "53", "1011010", "13", "1101111", "43", "45", "52", "30", "1100100", "97", "1011110", "22", "60", "58", "1110100", "113", "31", "1001110", "56", "37", "65", "1110101", "1011101", "34", "32", "1100101", "84", "123", "99", "160", "76", "86", "177", "48", "1010100", "1010000", "28", "51", "1100010", "1100110", "41", "77", "1000110", "46", "1010011", "1110110", "82", "1011011", "61", "62", "108", "79", "1111100", "150", "95", "102", "1101101", "72", "1011001", "1110001", "118", "74", "117", "293", "68", "67", "105", "126", "1010101", "1011000", "1101010", "1010110", "144", "1010111", "163", "1110011" ], "output": [ "266666333332", "60", "322667033332\n", "76\n", "328560000000\n", "157\n", "328565550022\n", "3\n", "329158562362\n", "329217448560\n", "7\n", "22\n", "1\n", "14\n", "60\n", "112\n", "33\n", "0\n", "266720336032\n", "93\n", "323253600000\n", "412\n", "272032053360\n", "329218559671\n", "183\n", "323311955632\n", "787\n", "272570655022\n", "46\n", "323318562262\n", "496\n", "540\n", "734\n", "240\n", "322725336000\n", "2534\n", "272625252262\n", "134\n", "960\n", "901\n", "328618832632\n", "3487\n", "271\n", "267258661522\n", "843\n", "374\n", "1147\n", "328619942733\n", "272620196733\n", "337\n", "303\n", "322726436101\n", "1897\n", "4083\n", "2632\n", "6772\n", "1576\n", "1983\n", "8283\n", "633\n", "272080536000\n", "272027003332\n", "211\n", "682\n", "322672533360\n", "322730836522\n", "453\n", "1653\n", "266725336560\n", "586\n", "272033063371\n", "328625493262\n", "1814\n", "272571666033\n", "1021\n", "1083\n", "3153\n", "1732\n", "329211893032\n", "6000\n", "2437\n", "2733\n", "323313056733\n", "1353\n", "272566611001\n", "328561110001\n", "3721\n", "1500\n", "3603\n", "23107\n", "1282\n", "1214\n", "2940\n", "4207\n", "272081546101\n", "272565600000\n", "323259105022\n", "272085586522\n", "5557\n", "272086596633\n", "7096\n", "328566660033\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 ### Input: 1000000 ### Output: 266666333332 ### Input: 15 ### Output: 60 ### Code: N = int(input()) s = sum([i for i in range(1, N+1) if ((i%3)!=0) and ((i%5)!=0)]) print(s)
p02841 Sumitomo Mitsui Trust Bank Programming Contest 2019 - November 30_34736
In this problem, a date is written as Y-M-D. For example, 2019-11-30 means November 30, 2019. Integers M_1, D_1, M_2, and D_2 will be given as input. It is known that the date 2019-M_2-D_2 follows 2019-M_1-D_1. Determine whether the date 2019-M_1-D_1 is the last day of a month. Constraints * Both 2019-M_1-D_1 and 2019-M_2-D_2 are valid dates in the Gregorian calendar. * The date 2019-M_2-D_2 follows 2019-M_1-D_1. Input Input is given from Standard Input in the following format: M_1 D_1 M_2 D_2 Output If the date 2019-M_1-D_1 is the last day of a month, print `1`; otherwise, print `0`. Examples Input 11 16 11 17 Output 0 Input 11 30 12 1 Output 1
input() _, d = input().split() print('1' if d == '1' else '0')
{ "input": [ "11 16\n11 17", "11 30\n12 1", "11 30\n6 1", "11 17\n11 17", "6 30\n12 1", "11 16\n11 28", "11 24\n11 28", "11 30\n18 1", "11 8\n11 28", "11 8\n11 17", "11 16\n11 31", "11 30\n35 1", "11 8\n11 32", "11 30\n2 1", "11 3\n11 8", "11 30\n26 1", "11 16\n11 46", "11 8\n11 33", "11 3\n11 7", "11 27\n11 46", "11 4\n11 46", "11 4\n11 30", "11 21\n11 28", "11 8\n11 46", "11 30\n31 1", "11 1\n11 46", "11 8\n11 52", "11 27\n11 50", "11 11\n11 46", "11 1\n11 71", "11 8\n11 58", "11 12\n11 46", "11 2\n11 71", "11 30\n23 1", "11 17\n11 20", "9 30\n12 1", "11 16\n11 56", "11 2\n11 28", "11 2\n11 17", "11 11\n11 31", "11 8\n11 50", "11 4\n11 73", "11 1\n11 30", "11 21\n11 27", "11 6\n11 46", "11 30\n58 1", "11 1\n11 47", "11 8\n11 44", "11 27\n11 91", "11 11\n11 61", "11 1\n11 61", "11 8\n11 64", "11 2\n11 99", "11 2\n11 20", "11 8\n11 71", "11 2\n11 47", "11 8\n11 23", "11 1\n11 116", "11 1\n11 20", "11 6\n11 28", "11 20\n11 28", "11 21\n11 31", "11 8\n11 94", "11 3\n11 9", "11 6\n11 7", "11 5\n11 46", "11 8\n11 92", "11 8\n11 61", "11 4\n11 71", "11 17\n11 38", "11 14\n11 56", "11 2\n11 32", "11 8\n11 63", "11 6\n11 77", "11 30\n63 1", "11 8\n11 175", "11 2\n11 125", "11 8\n11 111", "11 1\n11 21", "11 12\n11 61", "11 17\n11 65", "11 8\n11 97", "11 3\n11 77", "11 2\n11 110", "11 8\n11 101", "11 1\n11 39", "11 3\n11 61", "11 17\n11 122", "11 4\n11 110", "11 11\n11 101", "11 1\n11 7", "11 2\n11 61", "11 2\n11 7", "11 2\n11 24", "11 4\n11 7", "11 2\n11 10", "11 16\n11 19", "11 7\n11 28", "11 5\n11 7", "6 30\n31 1", "11 12\n11 57", "11 30\n42 1" ], "output": [ "0", "1", "1\n", "0\n", "1\n", "0\n", "0\n", "1\n", "0\n", "0\n", "0\n", "1\n", "0\n", "1\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "1\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: In this problem, a date is written as Y-M-D. For example, 2019-11-30 means November 30, 2019. Integers M_1, D_1, M_2, and D_2 will be given as input. It is known that the date 2019-M_2-D_2 follows 2019-M_1-D_1. Determine whether the date 2019-M_1-D_1 is the last day of a month. Constraints * Both 2019-M_1-D_1 and 2019-M_2-D_2 are valid dates in the Gregorian calendar. * The date 2019-M_2-D_2 follows 2019-M_1-D_1. Input Input is given from Standard Input in the following format: M_1 D_1 M_2 D_2 Output If the date 2019-M_1-D_1 is the last day of a month, print `1`; otherwise, print `0`. Examples Input 11 16 11 17 Output 0 Input 11 30 12 1 Output 1 ### Input: 11 16 11 17 ### Output: 0 ### Input: 11 30 12 1 ### Output: 1 ### Code: input() _, d = input().split() print('1' if d == '1' else '0')
p02978 AtCoder Grand Contest 035 - Add and Remove_34739
There is a stack of N cards, each of which has a non-negative integer written on it. The integer written on the i-th card from the top is A_i. Snuke will repeat the following operation until two cards remain: * Choose three consecutive cards from the stack. * Eat the middle card of the three. * For each of the other two cards, replace the integer written on it by the sum of that integer and the integer written on the card eaten. * Return the two cards to the original position in the stack, without swapping them. Find the minimum possible sum of the integers written on the last two cards remaining. Constraints * 2 \leq N \leq 18 * 0 \leq A_i \leq 10^9 (1\leq i\leq N) * All values in input are integers. Input Input is given from Standard Input in the following format: N A_1 A_2 ... A_N Output Print the minimum possible sum of the integers written on the last two cards remaining. Examples Input 4 3 1 4 2 Output 16 Input 6 5 2 4 1 6 9 Output 51 Input 10 3 1 4 1 5 9 2 6 5 3 Output 115
#YouTube import sys sys.setrecursionlimit(10**6) def kukan(l,r,el=1,er=1): em=el+er if l+1==r: return 0 if l+2==r: return a[l+1]*em t=(l,r,el,er) if t in memo: return memo[t] re=10**11 for m in range(l+1,r): tmp=kukan(l,m,el,em)+kukan(m,r,em,er)+a[m]*em if tmp<re: re=tmp memo[t]=re return re n=int(input()) a=list(map(int,input().split())) memo={} print(a[0]+kukan(0,n-1)+a[-1])
{ "input": [ "10\n3 1 4 1 5 9 2 6 5 3", "6\n5 2 4 1 6 9", "4\n3 1 4 2", "10\n3 1 4 1 5 9 2 11 5 3", "6\n5 2 4 1 1 9", "4\n1 1 4 2", "10\n3 1 4 1 5 2 2 11 5 3", "6\n5 2 4 1 1 15", "4\n1 0 4 2", "10\n3 1 4 1 5 2 2 11 5 4", "6\n5 2 4 1 0 15", "4\n1 0 2 2", "10\n3 1 4 1 5 2 2 11 0 4", "6\n5 2 4 0 0 15", "4\n2 0 2 2", "10\n5 1 4 1 5 2 2 11 0 4", "6\n5 2 2 0 0 15", "4\n2 0 3 2", "10\n5 1 4 0 5 2 2 11 0 4", "6\n5 2 2 0 0 13", "4\n2 0 6 2", "10\n7 1 4 0 5 2 2 11 0 4", "6\n5 2 2 0 0 14", "4\n2 1 6 2", "10\n7 1 4 0 5 2 2 11 0 1", "4\n2 1 6 0", "10\n7 1 4 0 5 2 2 16 0 1", "4\n3 1 6 0", "10\n7 1 4 0 0 2 2 16 0 1", "6\n4 4 2 0 0 14", "10\n7 1 4 0 0 2 2 4 0 1", "6\n4 8 2 0 0 14", "4\n4 1 6 1", "10\n2 1 4 0 0 2 2 4 0 1", "6\n4 8 4 0 0 14", "10\n2 1 3 0 0 2 2 4 0 1", "6\n3 8 2 0 0 14", "6\n3 3 2 -1 0 14", "10\n2 1 3 0 0 2 4 6 1 1", "10\n2 1 3 0 0 2 4 7 1 1", "4\n5 -1 3 1", "10\n2 1 3 1 0 2 4 7 1 1", "6\n3 6 2 0 0 27", "10\n2 1 3 1 0 2 4 7 1 0", "10\n0 1 3 1 0 2 4 7 1 0", "6\n3 6 2 0 1 35", "6\n4 6 2 0 0 35", "4\n8 -4 3 0", "10\n1 1 2 1 0 2 4 7 1 1", "4\n8 -4 3 1", "10\n1 1 2 1 0 2 4 5 1 1", "6\n2 2 4 0 0 35", "10\n1 1 2 1 0 3 4 5 1 1", "6\n4 2 4 0 0 35", "6\n4 2 4 0 -1 35", "4\n7 -4 8 1", "4\n7 -8 8 1", "4\n6 -8 8 1", "4\n6 -8 11 1", "6\n4 2 7 0 0 2", "4\n7 -8 11 1", "4\n7 -8 0 1", "6\n2 2 7 1 0 2", "4\n2 -8 0 1", "10\n1 1 2 1 0 3 4 0 0 2", "6\n2 2 7 1 -1 2", "4\n2 -8 0 2", "4\n2 -15 0 2", "4\n2 -15 0 1", "10\n1 -1 2 1 0 3 4 0 1 2", "4\n2 -15 -1 2", "4\n2 -15 -2 2", "4\n2 -20 -2 2", "6\n6 1 4 0 -1 2", "4\n2 -20 0 2", "10\n1 0 4 1 0 4 4 0 1 2", "4\n2 -13 0 2", "6\n6 1 4 0 -1 0", "4\n3 -13 0 2", "4\n3 -13 1 2", "4\n3 -22 1 2", "4\n3 -22 2 2", "6\n12 0 8 0 -1 1", "10\n1 -1 8 1 0 6 1 0 1 2", "4\n3 -43 2 3", "10\n1 -1 8 1 1 6 1 0 1 2", "4\n3 -43 1 3", "4\n3 -43 1 4", "4\n6 -43 1 4", "6\n12 -1 11 0 0 2", "4\n6 -49 1 4", "4\n6 -96 1 4", "4\n6 -20 1 4", "10\n1 -2 8 1 1 10 0 -1 0 2", "4\n6 -20 1 6", "4\n6 -20 1 5", "10\n1 -1 1 1 1 10 0 -1 0 2", "4\n6 -20 1 1", "4\n9 -20 1 0", "6\n3 -1 4 -2 -1 0", "4\n9 -5 1 0", "6\n3 -2 4 -2 -1 0", "6\n3 -2 5 -2 -1 0" ], "output": [ "115", "51", "16", "130\n", "35\n", "14\n", "110\n", "41\n", "11\n", "111\n", "37\n", "7\n", "95\n", "34\n", "8\n", "97\n", "30\n", "10\n", "91\n", "28\n", "16\n", "93\n", "29\n", "19\n", "90\n", "17\n", "100\n", "18\n", "77\n", "32\n", "50\n", "40\n", "20\n", "45\n", "46\n", "42\n", "39\n", "22\n", "56\n", "59\n", "9\n", "66\n", "48\n", "65\n", "63\n", "60\n", "57\n", "2\n", "61\n", "3\n", "55\n", "51\n", "58\n", "53\n", "49\n", "12\n", "0\n", "-1\n", "5\n", "26\n", "6\n", "-16\n", "27\n", "-21\n", "36\n", "23\n", "-20\n", "-41\n", "-42\n", "31\n", "-43\n", "-45\n", "-60\n", "15\n", "-56\n", "44\n", "-35\n", "13\n", "-34\n", "-32\n", "-59\n", "-57\n", "25\n", "47\n", "-119\n", "54\n", "-121\n", "-120\n", "-117\n", "33\n", "-135\n", "-276\n", "-48\n", "43\n", "-46\n", "-47\n", "21\n", "-51\n", "-49\n", "-5\n", "-4\n", "-8\n", "-6\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There is a stack of N cards, each of which has a non-negative integer written on it. The integer written on the i-th card from the top is A_i. Snuke will repeat the following operation until two cards remain: * Choose three consecutive cards from the stack. * Eat the middle card of the three. * For each of the other two cards, replace the integer written on it by the sum of that integer and the integer written on the card eaten. * Return the two cards to the original position in the stack, without swapping them. Find the minimum possible sum of the integers written on the last two cards remaining. Constraints * 2 \leq N \leq 18 * 0 \leq A_i \leq 10^9 (1\leq i\leq N) * All values in input are integers. Input Input is given from Standard Input in the following format: N A_1 A_2 ... A_N Output Print the minimum possible sum of the integers written on the last two cards remaining. Examples Input 4 3 1 4 2 Output 16 Input 6 5 2 4 1 6 9 Output 51 Input 10 3 1 4 1 5 9 2 6 5 3 Output 115 ### Input: 10 3 1 4 1 5 9 2 6 5 3 ### Output: 115 ### Input: 6 5 2 4 1 6 9 ### Output: 51 ### Code: #YouTube import sys sys.setrecursionlimit(10**6) def kukan(l,r,el=1,er=1): em=el+er if l+1==r: return 0 if l+2==r: return a[l+1]*em t=(l,r,el,er) if t in memo: return memo[t] re=10**11 for m in range(l+1,r): tmp=kukan(l,m,el,em)+kukan(m,r,em,er)+a[m]*em if tmp<re: re=tmp memo[t]=re return re n=int(input()) a=list(map(int,input().split())) memo={} print(a[0]+kukan(0,n-1)+a[-1])
p03118 World Tour Finals 2019 Open Contest - e_34742
There is a very long bench. The bench is divided into M sections, where M is a very large integer. Initially, the bench is vacant. Then, M people come to the bench one by one, and perform the following action: * We call a section comfortable if the section is currently unoccupied and is not adjacent to any occupied sections. If there is no comfortable section, the person leaves the bench. Otherwise, the person chooses one of comfortable sections uniformly at random, and sits there. (The choices are independent from each other). After all M people perform actions, Snuke chooses an interval of N consecutive sections uniformly at random (from M-N+1 possible intervals), and takes a photo. His photo can be described by a string of length N consisting of `X` and `-`: the i-th character of the string is `X` if the i-th section from the left in the interval is occupied, and `-` otherwise. Note that the photo is directed. For example, `-X--X` and `X--X-` are different photos. What is the probability that the photo matches a given string s? This probability depends on M. You need to compute the limit of this probability when M goes infinity. Here, we can prove that the limit can be uniquely written in the following format using three rational numbers p, q, r and e = 2.718 \ldots (the base of natural logarithm): p + \frac{q}{e} + \frac{r}{e^2} Your task is to compute these three rational numbers, and print them modulo 10^9 + 7, as described in Notes section. Constraints * 1 \leq N \leq 1000 * |s| = N * s consists of `X` and `-`. Input Input is given from Standard Input in the following format: N s Output Print three rational numbers p, q, r, separated by spaces. Examples Input 1 X Output 500000004 0 500000003 Input 3 --- Output 0 0 0 Input 5 X--X- Output 0 0 1 Input 5 X-X-X Output 500000004 0 833333337 Input 20 -X--X--X-X--X--X-X-X Output 0 0 183703705 Input 100 X-X-X-X-X-X-X-X-X-X--X-X-X-X-X-X-X-X-X-X-X-X-X-X-X--X--X-X-X-X--X--X-X-X--X-X-X--X-X--X--X-X--X-X-X- Output 0 0 435664291
#参考URL #https://qiita.com/ageprocpp/items/104c051b2ec2086f5a9b mod=10**9+7 def value(obj): if type(obj)==modint: tmp=obj.number else: tmp=obj return tmp%mod class modint(): number=0 def __init__(self,num): self.number=num%mod def __add__(self,other): tmp=value(other) return modint(self.number+tmp) def __iadd__(self,other): tmp=value(other) self.number+=tmp self.number%=mod return self def __sub__(self,other): tmp=value(other) return modint(self.number-tmp) def __isub__(self,other): tmp=value(other) self.number-=tmp self.number%=mod return self def __mul__(self,other): tmp=value(other) return modint(self.number*tmp) def __imul__(self,other): tmp=value(other) self.number*=tmp self.number%=mod return self def __truediv__(self,other): tmp=value(other) return self*pow(tmp,mod-2,mod) def __itruediv(self,other): tmp=value(other) self.number=self/tmp self.number%=mod return self def __repr__(self): return str(self.number) def __eq__(self,other): return value(self)==value(other) def __ne__(self,other): return value(self)!=value(other) def __str__(self): return str(self.number) def __int__(self): return self.number def __hash__(self): return self.number class polynomial(): sequence=[0] def __init__(self,seq): self.sequence=[] for i in seq: self.sequence.append(value(i)) def get(self,x): res=modint(0) tmp=modint(1) for a in self.sequence: res+=tmp*a tmp*=x if tmp==0: break return res def __add__(self,other): res=[] for i,a in enumerate(self.sequence): try: res[i]=a except IndexError: res.append(modint(0)) res[i]=a for i,a in enumerate(other.sequence): try: res[i]+=a except IndexError: res.append(modint(0)) res[i]+=a return polynomial(res) def __iadd__(self,other): return self+other def __sub__(self,other): res=[] for i,a in enumerate(self.sequence): try: res[i]=a except IndexError: res.append(modint(0)) res[i]=a for i,a in enumerate(other.sequence): try: res[i]-=a except IndexError: res.append(modint(0)) res[i]-=a return polynomial(res) def __isub__(self,other): return self-other def indef_integral(self): res=[modint(0)] for i,a in enumerate(self.sequence): res.append(modint(a)/(i+1)) return polynomial(res) def integrate(self,flag): #0: 0->x #1:x->1 if flag==0: return self.indef_integral() else: tmp=self.indef_integral() return polynomial([tmp.get(1)])-tmp def __repr__(self): return str(self.sequence) def __str__(self): return str(self.sequence) class func(): P=polynomial([modint(0)]) Q=polynomial([modint(0)]) C=modint(0) def __init__(self,poly1,poly2,cnst): self.P=poly1 self.Q=poly2 self.C=cnst def __add__(self,other): PP=self.P+other.P QQ=self.Q+other.Q CC=self.C+other.C return func(PP,QQ,CC) def __iadd__(self,other): return self+other def __sub__(self,other): PP=self.P-other.P QQ=self.Q-other.Q CC=self.C-other.C return func(PP,QQ,CC) def __isub__(self,other): return self-other def dintegrate(self,flag): if flag==0: PP=self.P.integrate(0)+polynomial([self.C]) QQ=self.Q.integrate(0) CC=modint(-1)*self.C else: PP=self.P.integrate(1) QQ=self.Q.integrate(1)+polynomial([modint(-1)*self.C]) CC=self.C return func(PP,QQ,CC) MAX_N=1009 N=int(input()) s=input() fact=[modint(0) for i in range(MAX_N+1)] inv=[modint(0) for i in range(MAX_N+1)] fact[0]=modint(1) for i in range(MAX_N): fact[i+1]=fact[i]*(i+1) inv[-1]=modint(1)/fact[-1] for i in range(MAX_N-1,-1,-1): inv[i]=inv[i+1]*(i+1) dp=[[[[func(polynomial([modint(0)]),polynomial([modint(0)]),modint(0)) for l in range(2)]for k in range(2)]for j in range(2)] for i in range(MAX_N+1)] if s[0]=="X": dp[0][0][1][0]=func(polynomial([modint(0)]),polynomial([modint(0)]),modint(1)) else: dp[0][0][0][1]=func(polynomial([modint(0)]),polynomial([modint(0)]),modint(1)) dp[0][1][1][1]=func(polynomial([modint(1)]),polynomial([modint(0)]),modint(-1)) for i in range(1,N): if s[i]=="X": dp[i][0][1][0]+=dp[i-1][1][1][0].dintegrate(0) dp[i][0][1][0]+=dp[i-1][1][1][1].dintegrate(0) dp[i][0][1][0]+=dp[i-1][0][0][1].dintegrate(1) dp[i][0][1][0]+=dp[i-1][0][1][1].dintegrate(1) dp[i][0][1][0]+=dp[i-1][1][0][1].dintegrate(1) dp[i][0][1][0]+=dp[i-1][1][1][1].dintegrate(1) else: dp[i][0][0][1]+=dp[i-1][1][1][0].dintegrate(0) dp[i][0][0][1]+=dp[i-1][1][1][1].dintegrate(0) dp[i][1][1][1]+=dp[i-1][0][1][0].dintegrate(0) dp[i][1][1][1]+=dp[i-1][0][1][1].dintegrate(0) dp[i][0][0][1]+=dp[i-1][0][1][0].dintegrate(1) dp[i][0][0][1]+=dp[i-1][0][1][1].dintegrate(1) dp[i][0][0][1]+=dp[i-1][1][1][0].dintegrate(1) dp[i][0][0][1]+=dp[i-1][1][1][1].dintegrate(1) a=modint(0) b=modint(0) c=modint(0) p = dp[N-1][0][1][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][0][1][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][0][1][1].C b-= dp[N-1][0][1][1].C p = dp[N-1][1][1][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][1][1][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][1][1][1].C b-= dp[N-1][1][1][1].C for x in range(2): for i,v in enumerate(dp[N-1][x][1][0].P.sequence): a+=modint(1)*v*fact[i] for j in range(i+1): b-=modint(1)*v*fact[i]*inv[j] for i,v in enumerate(dp[N-1][x][1][0].Q.sequence): b+=modint(1)*v*fact[i] for j in range(i+1): c-=modint(1)*v*fact[i]*inv[j] a+=dp[N-1][x][1][0].C/2 c-=dp[N-1][x][1][0].C/2 p = dp[N-1][0][0][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][0][0][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][0][0][1].C b-= dp[N-1][0][0][1].C p = dp[N-1][1][0][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][1][0][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][1][0][1].C b-= dp[N-1][1][0][1].C for x in range(2): for i,v in enumerate(dp[N-1][x][0][1].P.sequence): a-=modint(1)*v*fact[i] for j in range(i+1): b+=modint(1)*v*fact[i]*inv[j] for i,v in enumerate(dp[N-1][x][0][1].Q.sequence): b-=modint(1)*v*fact[i] for j in range(i+1): c+=modint(1)*v*fact[i]*inv[j] a-=dp[N-1][x][0][1].C/2 c+=dp[N-1][x][0][1].C/2 print(a,b,c)
{ "input": [ "5\nX--X-", "20\n-X--X--X-X--X--X-X-X", "100\nX-X-X-X-X-X-X-X-X-X--X-X-X-X-X-X-X-X-X-X-X-X-X-X-X--X--X-X-X-X--X--X-X-X--X-X-X--X-X--X--X-X--X-X-X-", "5\nX-X-X", "3\n---", "1\nX", "5\n-X--X", "20\nX-X-X--X--X-X--X--X-", "5\n-X-X-", "20\n-X--X--X-X-----XXX-X", "100\n-X-X-X--X-X--X--X-X--X-X-X--X-X-X--X--X-X-X-X--X--X-X-X-X-X-X-X-X-X-X-X-X-X-X-X--X-X-X-X-X-X-X-X-X-X", "5\nX-X--", "20\n-X.-X--X-X-----XXX-X", "20\nX-XXX-----X-X--X-.X-", "20\nX-XYX-----X-X--X-.X-", "20\nX-XZX-----X-X--X-.X-", "20\n-X.-X--X-X-----XZX-X", "20\nX-XZX-----X,X--X-.X-", "20\n-X.-X--X,X-----XZX-X", "20\n-X.-X--X,X-----XZX,X", "20\nX,XZX-----X,X--X-.X-", "20\nX,XZX-----X,X--X-.Y-", "20\n-Y.-X--X,X-----XZX,X", "20\n-Y.-X--X,X----,XZX,X", "20\n-Y.-X--X,W----,XZX,X", "5\n-XX--", "5\n---XX", "20\nX-XXX-----X-X--X--X-", "20\n-X.-X--X-X----,XXX-X", "20\nX-XXX-----X-X.-X-.X-", "20\n-X.-X--X-X-----XYX-X", "20\n-X.-X--X-X,----XZX-X", "20\n-X.-X--X-X------ZXXX", "20\n-,.-X--XXX-----XZX-X", "20\nX-XZX-----X,X--X-/X-", "20\n-X.-X--X,X-----XZX,W", "20\nX,XZX.----X,X--X--X-", "20\nX,XZY-----X,X--X-.Y-", "20\n-Y/-X--X,X-----XZX,X", "20\nX,XZX,----X,X--X-.Y-", "20\n-Y.-X--X,W----,XZX,W", "5\n--XX-", "5\nXX---", "20\nX-XX--X---X-X--X--X-", "20\n-X.-XX-X-X----,XXX--", "20\nX-XXX-----X.X.-X-.X-", "20\n-X.-Y--X-X-----XYX-X", "20\n-X.-Y--X-X,----XZX-X", "20\n--.-X--X-XX-----ZXXX", "20\n-,.-X--YXX-----XZX-X", "20\nY-XZX-----X,X--X-/X-", "20\nW,XZX-----X,X--X-.X-", "20\nX,XZX.----X,X-,X--X-", "20\nX,XZY----,X,X--X-.Y-", "20\n-Y/-X--X,X-----XZW,X", "20\nX,XZX,---.X,X--X-.Y-", "20\nW,XZX,----W,X--X-.Y-", "5\n,--XX", "20\nY-XX--X---X-X--X--X-", "20\n--XXX,----X-X-XX-.X-", "20\nX-XXX---,-X-X.-X-.X-", "20\nX-XYX-----X-X--Y-.X-", "20\n-X.-Y--X-W,----XZX-X", "20\nXXXZ-----XX-X--X-.--", "20\n-,.-W--YXX-----XZX-X", "20\nX-XZX-----X,X--X-/X.", "20\nW,XYX-----X,X--X-.X-", "20\nX,-ZX.---XX,X-,X--X-", "20\nX,XZY----,X,Y--X-.Y-", "20\n-Y/----X,X-X---XZW,X", "20\n-Y.-X--X,X.---,XZX,X", "20\nW,XZX,----W,X--X..Y-", "5\n--,XX", "20\nY-XX--X---W-X--X--X-", "20\n--XXX,--.-X-X-XX-.X-", "20\nX-XXX---,-X-W.-X-.X-", "20\nX-YYX-----X-X--Y-.X-", "20\n-X.-Y--X-W,----YZX-X", "20\nXXXZ-----XX-X-.X-.--", "20\n-,--W--YXX-----XZX-X", "20\nX-XZX---.-X,X--X-/X.", "20\nW,XYX-----X,X.-X-.X-", "20\nX,-ZX.---XX,X-,X--X,", "20\nX,XZY----,X+Y--X-.Y-", "20\n-X/----X,X-X---XZW,X", "20\n,Y.-X--X,X.---,XZX,X", "20\nW,XZW,----W,X--X..Y-", "20\n-X--X--X-W---X--XX-Y", "20\n-,XXX,--.-X-X-XX-.X-", "20\nX-XXX---,-X-W.-X-.X,", "20\nX-YYX-----X-X-.Y-.X-", "20\n-X.-Y--X,W,----YZX-X", "20\nXXXZ-----XX-X-.Y-.--", "20\n-,--W--YXX-----XZW-X", "20\nX-XZX---.-X,X--X-0X.", "20\nW,XY-X----X,X.-X-.X-", "20\n,X--X,-X,XX---.XZ-,X", "20\n-Y.-X--Y+X,----YZX,X", "20\nX,WZX---X-X,X----/X-", "20\nX,XZX,---.X,X--X-.Y,", "20\nW,XZW,----X,X--X..Y-", "20\n-X--XY-X-W---X--XX--", "20\n-,XXX,--.-X-X-XW-.X-", "20\nX-XXX---,-X--.WX-.X,", "20\n-X.-Y.-X-X-----XYY-X", "20\n-X.-Y--X,W-,---YZX-X" ], "output": [ "0 0 1", "0 0 183703705", "0 0 435664291", "500000004 0 833333337", "0 0 0", "500000004 0 500000003", "0 0 1\n", "0 0 183703705\n", "500000004 0 500000002\n", "0 0 0\n", "0 0 435664291\n", "0 0 666666672\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n", "0 0 0\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There is a very long bench. The bench is divided into M sections, where M is a very large integer. Initially, the bench is vacant. Then, M people come to the bench one by one, and perform the following action: * We call a section comfortable if the section is currently unoccupied and is not adjacent to any occupied sections. If there is no comfortable section, the person leaves the bench. Otherwise, the person chooses one of comfortable sections uniformly at random, and sits there. (The choices are independent from each other). After all M people perform actions, Snuke chooses an interval of N consecutive sections uniformly at random (from M-N+1 possible intervals), and takes a photo. His photo can be described by a string of length N consisting of `X` and `-`: the i-th character of the string is `X` if the i-th section from the left in the interval is occupied, and `-` otherwise. Note that the photo is directed. For example, `-X--X` and `X--X-` are different photos. What is the probability that the photo matches a given string s? This probability depends on M. You need to compute the limit of this probability when M goes infinity. Here, we can prove that the limit can be uniquely written in the following format using three rational numbers p, q, r and e = 2.718 \ldots (the base of natural logarithm): p + \frac{q}{e} + \frac{r}{e^2} Your task is to compute these three rational numbers, and print them modulo 10^9 + 7, as described in Notes section. Constraints * 1 \leq N \leq 1000 * |s| = N * s consists of `X` and `-`. Input Input is given from Standard Input in the following format: N s Output Print three rational numbers p, q, r, separated by spaces. Examples Input 1 X Output 500000004 0 500000003 Input 3 --- Output 0 0 0 Input 5 X--X- Output 0 0 1 Input 5 X-X-X Output 500000004 0 833333337 Input 20 -X--X--X-X--X--X-X-X Output 0 0 183703705 Input 100 X-X-X-X-X-X-X-X-X-X--X-X-X-X-X-X-X-X-X-X-X-X-X-X-X--X--X-X-X-X--X--X-X-X--X-X-X--X-X--X--X-X--X-X-X- Output 0 0 435664291 ### Input: 5 X--X- ### Output: 0 0 1 ### Input: 20 -X--X--X-X--X--X-X-X ### Output: 0 0 183703705 ### Code: #参考URL #https://qiita.com/ageprocpp/items/104c051b2ec2086f5a9b mod=10**9+7 def value(obj): if type(obj)==modint: tmp=obj.number else: tmp=obj return tmp%mod class modint(): number=0 def __init__(self,num): self.number=num%mod def __add__(self,other): tmp=value(other) return modint(self.number+tmp) def __iadd__(self,other): tmp=value(other) self.number+=tmp self.number%=mod return self def __sub__(self,other): tmp=value(other) return modint(self.number-tmp) def __isub__(self,other): tmp=value(other) self.number-=tmp self.number%=mod return self def __mul__(self,other): tmp=value(other) return modint(self.number*tmp) def __imul__(self,other): tmp=value(other) self.number*=tmp self.number%=mod return self def __truediv__(self,other): tmp=value(other) return self*pow(tmp,mod-2,mod) def __itruediv(self,other): tmp=value(other) self.number=self/tmp self.number%=mod return self def __repr__(self): return str(self.number) def __eq__(self,other): return value(self)==value(other) def __ne__(self,other): return value(self)!=value(other) def __str__(self): return str(self.number) def __int__(self): return self.number def __hash__(self): return self.number class polynomial(): sequence=[0] def __init__(self,seq): self.sequence=[] for i in seq: self.sequence.append(value(i)) def get(self,x): res=modint(0) tmp=modint(1) for a in self.sequence: res+=tmp*a tmp*=x if tmp==0: break return res def __add__(self,other): res=[] for i,a in enumerate(self.sequence): try: res[i]=a except IndexError: res.append(modint(0)) res[i]=a for i,a in enumerate(other.sequence): try: res[i]+=a except IndexError: res.append(modint(0)) res[i]+=a return polynomial(res) def __iadd__(self,other): return self+other def __sub__(self,other): res=[] for i,a in enumerate(self.sequence): try: res[i]=a except IndexError: res.append(modint(0)) res[i]=a for i,a in enumerate(other.sequence): try: res[i]-=a except IndexError: res.append(modint(0)) res[i]-=a return polynomial(res) def __isub__(self,other): return self-other def indef_integral(self): res=[modint(0)] for i,a in enumerate(self.sequence): res.append(modint(a)/(i+1)) return polynomial(res) def integrate(self,flag): #0: 0->x #1:x->1 if flag==0: return self.indef_integral() else: tmp=self.indef_integral() return polynomial([tmp.get(1)])-tmp def __repr__(self): return str(self.sequence) def __str__(self): return str(self.sequence) class func(): P=polynomial([modint(0)]) Q=polynomial([modint(0)]) C=modint(0) def __init__(self,poly1,poly2,cnst): self.P=poly1 self.Q=poly2 self.C=cnst def __add__(self,other): PP=self.P+other.P QQ=self.Q+other.Q CC=self.C+other.C return func(PP,QQ,CC) def __iadd__(self,other): return self+other def __sub__(self,other): PP=self.P-other.P QQ=self.Q-other.Q CC=self.C-other.C return func(PP,QQ,CC) def __isub__(self,other): return self-other def dintegrate(self,flag): if flag==0: PP=self.P.integrate(0)+polynomial([self.C]) QQ=self.Q.integrate(0) CC=modint(-1)*self.C else: PP=self.P.integrate(1) QQ=self.Q.integrate(1)+polynomial([modint(-1)*self.C]) CC=self.C return func(PP,QQ,CC) MAX_N=1009 N=int(input()) s=input() fact=[modint(0) for i in range(MAX_N+1)] inv=[modint(0) for i in range(MAX_N+1)] fact[0]=modint(1) for i in range(MAX_N): fact[i+1]=fact[i]*(i+1) inv[-1]=modint(1)/fact[-1] for i in range(MAX_N-1,-1,-1): inv[i]=inv[i+1]*(i+1) dp=[[[[func(polynomial([modint(0)]),polynomial([modint(0)]),modint(0)) for l in range(2)]for k in range(2)]for j in range(2)] for i in range(MAX_N+1)] if s[0]=="X": dp[0][0][1][0]=func(polynomial([modint(0)]),polynomial([modint(0)]),modint(1)) else: dp[0][0][0][1]=func(polynomial([modint(0)]),polynomial([modint(0)]),modint(1)) dp[0][1][1][1]=func(polynomial([modint(1)]),polynomial([modint(0)]),modint(-1)) for i in range(1,N): if s[i]=="X": dp[i][0][1][0]+=dp[i-1][1][1][0].dintegrate(0) dp[i][0][1][0]+=dp[i-1][1][1][1].dintegrate(0) dp[i][0][1][0]+=dp[i-1][0][0][1].dintegrate(1) dp[i][0][1][0]+=dp[i-1][0][1][1].dintegrate(1) dp[i][0][1][0]+=dp[i-1][1][0][1].dintegrate(1) dp[i][0][1][0]+=dp[i-1][1][1][1].dintegrate(1) else: dp[i][0][0][1]+=dp[i-1][1][1][0].dintegrate(0) dp[i][0][0][1]+=dp[i-1][1][1][1].dintegrate(0) dp[i][1][1][1]+=dp[i-1][0][1][0].dintegrate(0) dp[i][1][1][1]+=dp[i-1][0][1][1].dintegrate(0) dp[i][0][0][1]+=dp[i-1][0][1][0].dintegrate(1) dp[i][0][0][1]+=dp[i-1][0][1][1].dintegrate(1) dp[i][0][0][1]+=dp[i-1][1][1][0].dintegrate(1) dp[i][0][0][1]+=dp[i-1][1][1][1].dintegrate(1) a=modint(0) b=modint(0) c=modint(0) p = dp[N-1][0][1][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][0][1][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][0][1][1].C b-= dp[N-1][0][1][1].C p = dp[N-1][1][1][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][1][1][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][1][1][1].C b-= dp[N-1][1][1][1].C for x in range(2): for i,v in enumerate(dp[N-1][x][1][0].P.sequence): a+=modint(1)*v*fact[i] for j in range(i+1): b-=modint(1)*v*fact[i]*inv[j] for i,v in enumerate(dp[N-1][x][1][0].Q.sequence): b+=modint(1)*v*fact[i] for j in range(i+1): c-=modint(1)*v*fact[i]*inv[j] a+=dp[N-1][x][1][0].C/2 c-=dp[N-1][x][1][0].C/2 p = dp[N-1][0][0][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][0][0][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][0][0][1].C b-= dp[N-1][0][0][1].C p = dp[N-1][1][0][1].P.integrate(0) a+= p.get(1)-p.get(0) p = dp[N-1][1][0][1].Q.integrate(0) b+= p.get(1)-p.get(0) a+= dp[N-1][1][0][1].C b-= dp[N-1][1][0][1].C for x in range(2): for i,v in enumerate(dp[N-1][x][0][1].P.sequence): a-=modint(1)*v*fact[i] for j in range(i+1): b+=modint(1)*v*fact[i]*inv[j] for i,v in enumerate(dp[N-1][x][0][1].Q.sequence): b-=modint(1)*v*fact[i] for j in range(i+1): c+=modint(1)*v*fact[i]*inv[j] a-=dp[N-1][x][0][1].C/2 c+=dp[N-1][x][0][1].C/2 print(a,b,c)
p03261 AtCoder Beginner Contest 109 - Shiritori_34745
Takahashi is practicing shiritori alone again today. Shiritori is a game as follows: * In the first turn, a player announces any one word. * In the subsequent turns, a player announces a word that satisfies the following conditions: * That word is not announced before. * The first character of that word is the same as the last character of the last word announced. In this game, he is practicing to announce as many words as possible in ten seconds. You are given the number of words Takahashi announced, N, and the i-th word he announced, W_i, for each i. Determine if the rules of shiritori was observed, that is, every word announced by him satisfied the conditions. Constraints * N is an integer satisfying 2 \leq N \leq 100. * W_i is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters. Input Input is given from Standard Input in the following format: N W_1 W_2 : W_N Output If every word announced by Takahashi satisfied the conditions, print `Yes`; otherwise, print `No`. Examples Input 4 hoge english hoge enigma Output No Input 9 basic c cpp php python nadesico ocaml lua assembly Output Yes Input 8 a aa aaa aaaa aaaaa aaaaaa aaa aaaaaaa Output No Input 3 abc arc agc Output No
N = int(input()) W = [input() for i in range(N)] if all(W[i][0]==W[i-1][-1] and W[i] not in W[:i] for i in range(1, N)): print('Yes') else: print('No')
{ "input": [ "4\nhoge\nenglish\nhoge\nenigma", "9\nbasic\nc\ncpp\nphp\npython\nnadesico\nocaml\nlua\nassembly", "3\nabc\narc\nagc", "8\na\naa\naaa\naaaa\naaaaa\naaaaaa\naaa\naaaaaaa", "4\nhoge\nenglish\nhnge\nenigma", "9\nbasic\nc\npcp\nphp\npython\nnadesico\nocaml\nlua\nassembly", "3\naac\narc\nagc", "8\na\naa\naaa\naaaa\naaaaa\naaa`aa\naaa\naaaaaaa", "4\nhoge\nenglish\nhnge\nemigma", "9\nb`sic\nc\npcp\nphp\npython\nnadesico\nocaml\nlua\nassembly", "3\naac\ncra\nagc", "8\na\naa\naaa\naaaa\naaaaa\naaa`aa\naa`\naaaaaaa", "4\negoh\nenglish\nhnge\nemigma", "9\nb`sic\nc\npcp\nphp\npython\nnadesico\nocaml\nmua\nassembly", "3\naac\ncra\n`gc", "8\na\naa\naaa\naaaa\naaaaa\naaa_aa\naa`\naaaaaaa", "4\nfgoh\nenglish\nhnge\nemigma", "9\nb`sic\nc\nocp\nphp\npython\nnadesico\nocaml\nmua\nassembly", "3\naac\narc\n`gc", "8\na\naa\naaa\naaaa\n`aaaa\naaa_aa\naa`\naaaaaaa", "4\nhgof\nenglish\nhnge\nemigma", "9\nb`sic\nc\nocp\nphp\npython\nnadesico\nocaml\naum\nassembly", "3\ncaa\narc\n`gc", "8\na\na`\naaa\naaaa\n`aaaa\naaa_aa\naa`\naaaaaaa", "4\nhgof\nenglish\nhnge\nemigna", "9\nb`sic\nd\nocp\nphp\npython\nnadesico\nocaml\naum\nassembly", "3\ncaa\ncra\n`gc", "8\n`\na`\naaa\naaaa\n`aaaa\naaa_aa\naa`\naaaaaaa", "4\nhgof\nenglish\nhnge\nangime", "9\nb`sic\nd\nocp\nphp\npython\nnadesico\nocaml\naum\nabsemsly", "3\ncaa\ncra\ncg`", "8\n`\na`\naaa\naaaa\n`aaaa\naaa_aa\nba`\naaaaaaa", "4\nhgof\nenglish\nhnge\ningame", "9\nb`sic\nd\nncp\nphp\npython\nnadesico\nocaml\naum\nabsemsly", "3\ncaa\ncra\ngc`", "8\na\na`\naaa\naaaa\n`aaaa\naaa_aa\nba`\naaaaaaa", "4\nghof\nenglish\nhnge\ningame", "9\nb`sic\nd\nncp\nphp\npython\nnadetico\nocaml\naum\nabsemsly", "3\ncaa\ncrb\ngc`", "8\na\n``\naaa\naaaa\n`aaaa\naaa_aa\nba`\naaaaaaa", "4\nghof\nenglith\nhnge\ningame", "9\nb`sic\nd\nncp\nphp\nptyhon\nnadetico\nocaml\naum\nabsemsly", "3\ncaa\ncrb\n`cg", "8\na\n``\naaa\naaaa\n``aaa\naaa_aa\nba`\naaaaaaa", "4\nghof\nenglith\nhnge\ning`me", "9\nb`sic\nd\nncp\nphp\nptyhon\nnadftico\nocaml\naum\nabsemsly", "3\ncaa\ncra\n`cg", "8\na\n``\n`aa\naaaa\n``aaa\naaa_aa\nba`\naaaaaaa", "4\nghof\nenglith\nhoge\ning`me", "9\nb`sic\nd\nncp\nphp\nptyhon\nnadftico\nocaml\naum\naasemsly", "3\ncaa\ndra\n`cg", "8\na\n``\n`aa\naaaa\n``aaa\naa_aaa\nba`\naaaaaaa", "4\nghof\nfnglith\nhoge\ning`me", "9\nb`sic\nd\nncp\npgp\nptyhon\nnadftico\nocaml\naum\naasemsly", "3\ncaa\ndra\n`bg", "8\na\n``\n`aa\naaaa\n```aa\naa_aaa\nba`\naaaaaaa", "4\nghof\nfnglith\nhohe\ning`me", "9\nb`sic\nc\nncp\npgp\nptyhon\nnadftico\nocaml\naum\naasemsly", "3\ncaa\ndra\ngb`", "8\na\n_`\n`aa\naaaa\n```aa\naa_aaa\nba`\naaaaaaa", "4\nghof\nfnglith\nhohe\nimg`ne", "9\nb`sic\nc\nncp\nqgp\nptyhon\nnadftico\nocaml\naum\naasemsly", "3\ncaa\ndra\nhb`", "8\na\n_`\n`aa\naaaa\n```aa\nba_aaa\nba`\naaaaaaa", "4\nghof\nfntligh\nhohe\nimg`ne", "9\nb`sic\nc\nncp\nqgp\nptyhon\nnadftico\nobaml\naum\naasemsly", "3\ncaa\ncra\nhb`", "8\na\n_`\n`aa\naaaa\na``a`\nba_aaa\nba`\naaaaaaa", "4\nghof\nfntligh\nehoh\nimg`ne", "9\nb`sic\nc\nncp\nqfp\nptyhon\nnadftico\nobaml\naum\naasemsly", "3\ncaa\ncra\nbh`", "8\na\n_`\n`aa\naaaa\na``a`\nba_aaa\n`ab\naaaaaaa", "4\nfohg\nfntligh\nehoh\nimg`ne", "9\nb`sic\nc\nncp\nqfp\nptyhon\nnadftico\nob`ml\naum\naasemsly", "3\naca\ncra\nbh`", "8\na\n_`\n`aa\naaaa\na``a`\nba_aaa\n`ab\n`aaaaaa", "4\nfohg\nfntligh\nehoh\ning`ne", "9\nb`sic\nc\nncp\nqfp\nptyhpn\nnadftico\nob`ml\naum\naasemsly", "3\naca\ncrb\nbh`", "8\na\n_`\naa`\naaaa\na``a`\nba_aaa\n`ab\n`aaaaaa", "4\nfoig\nfntligh\nehoh\ning`ne", "9\nb`sjc\nc\nncp\nqfp\nptyhpn\nnadftico\nob`ml\naum\naasemsly", "3\naca\nbrc\nbh`", "8\na\n_`\naa`\naaaa\na``a`\nba_aaa\n`ba\n`aaaaaa", "4\nfoig\nfntligi\nehoh\ning`ne", "9\nb`sjc\nc\nncp\nqfp\nptyhpn\nnadftico\nob`ml\navm\naasemsly", "3\nacb\nbrc\nbh`", "8\na\n_`\naa`\nabaa\na``a`\nba_aaa\n`ba\n`aaaaaa", "4\nfojg\nfntligi\nehoh\ning`ne", "9\nb`sjc\nc\nncp\nqfp\nptyhpn\nnadfthco\nob`ml\navm\naasemsly", "3\nacc\nbrc\nbh`", "8\na\n_`\naa`\nabaa\na``aa\nba_aaa\n`ba\n`aaaaaa", "4\nfojg\nfnltigi\nehoh\ning`ne", "9\nb`sjc\nc\nncp\nqfp\nptyhpn\nnadfthco\nobm`l\navm\naasemsly", "3\nacc\nbrc\nhb`", "8\na\n_`\naa`\nabaa\na``aa\nbb_aaa\n`ba\n`aaaaaa", "4\nfojg\nfnlthgi\nehoh\ning`ne", "9\nb`sjc\nc\nncp\nqpf\nptyhpn\nnadfthco\nobm`l\navm\naasemsly", "3\nacc\nrbc\nhb`", "8\na\n_`\naa`\nabaa\na``ba\nbb_aaa\n`ba\n`aaaaaa", "4\nfogj\nfnlthgi\nehoh\ning`ne", "9\nb`sjc\nc\nncp\nqpf\nptyhpn\nnadfthco\nobm`l\navm\n`asemsly", "3\nacc\nrbc\n`bh", "8\na\n_`\naa`\nabaa\na``ba\nbb_aaa\n`ba\naaaaaa`" ], "output": [ "No", "Yes", "No", "No", "Yes\n", "No\n", "No\n", "No\n", "Yes\n", "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Takahashi is practicing shiritori alone again today. Shiritori is a game as follows: * In the first turn, a player announces any one word. * In the subsequent turns, a player announces a word that satisfies the following conditions: * That word is not announced before. * The first character of that word is the same as the last character of the last word announced. In this game, he is practicing to announce as many words as possible in ten seconds. You are given the number of words Takahashi announced, N, and the i-th word he announced, W_i, for each i. Determine if the rules of shiritori was observed, that is, every word announced by him satisfied the conditions. Constraints * N is an integer satisfying 2 \leq N \leq 100. * W_i is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters. Input Input is given from Standard Input in the following format: N W_1 W_2 : W_N Output If every word announced by Takahashi satisfied the conditions, print `Yes`; otherwise, print `No`. Examples Input 4 hoge english hoge enigma Output No Input 9 basic c cpp php python nadesico ocaml lua assembly Output Yes Input 8 a aa aaa aaaa aaaaa aaaaaa aaa aaaaaaa Output No Input 3 abc arc agc Output No ### Input: 4 hoge english hoge enigma ### Output: No ### Input: 9 basic c cpp php python nadesico ocaml lua assembly ### Output: Yes ### Code: N = int(input()) W = [input() for i in range(N)] if all(W[i][0]==W[i-1][-1] and W[i] not in W[:i] for i in range(1, N)): print('Yes') else: print('No')
p03419 AtCoder Regular Contest 091 - Flip Flip and Flip......_34749
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up. We will perform the following operation once for each square contains a card: * For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square. It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations. Constraints * 1 \leq N,M \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N M Output Print the number of cards that face down after all the operations. Examples Input 2 2 Output 0 Input 1 7 Output 5 Input 314 1592 Output 496080
n,m = map(int, input().split()) if n == 1 or m == 1: if n == 1 and m == 1: print(1) else: print(max(n,m)-2) else: print((m-2)*(n-2))
{ "input": [ "1 7", "2 2", "314 1592", "1 2", "582 1592", "0 0", "582 932", "0 -1", "1018 932", "1018 374", "527 374", "358 374", "592 374", "592 345", "592 673", "207 673", "128 673", "128 131", "128 260", "246 260", "373 260", "54 260", "54 36", "54 54", "54 104", "54 53", "54 83", "54 24", "54 27", "54 8", "54 12", "54 15", "54 21", "54 14", "71 14", "71 24", "21 24", "36 24", "60 24", "60 4", "60 5", "48 4", "21 0", "40 0", "40 -1", "40 -2", "66 0", "115 0", "63 0", "8 0", "13 1", "13 0", "15 0", "15 -1", "6 -2", "7 -2", "314 1692", "218 1592", "-1 -1", "582 1178", "-1 -2", "1495 932", "1018 260", "527 151", "613 374", "592 730", "676 345", "592 209", "241 673", "128 1084", "128 194", "128 121", "58 260", "531 260", "54 316", "42 36", "54 42", "54 149", "42 53", "54 23", "54 46", "54 10", "24 12", "29 15", "43 21", "54 18", "62 14", "15 24", "28 24", "71 46", "60 25", "60 3", "60 0", "48 0", "48 -1", "18 0", "69 -1", "41 -1", "40 -4", "88 0", "124 0", "63 -1", "8 -1" ], "output": [ "5", "0", "496080", "0\n", "922200\n", "4\n", "539400\n", "6\n", "944880\n", "377952\n", "195300\n", "132432\n", "219480\n", "202370\n", "395890\n", "137555\n", "84546\n", "16254\n", "32508\n", "62952\n", "95718\n", "13416\n", "1768\n", "2704\n", "5304\n", "2652\n", "4212\n", "1144\n", "1300\n", "312\n", "520\n", "676\n", "988\n", "624\n", "828\n", "1518\n", "418\n", "748\n", "1276\n", "116\n", "174\n", "92\n", "-38\n", "-76\n", "-114\n", "-152\n", "-128\n", "-226\n", "-122\n", "-12\n", "11\n", "-22\n", "-26\n", "-39\n", "-16\n", "-20\n", "527280\n", "343440\n", "9\n", "682080\n", "12\n", "1388490\n", "262128\n", "78225\n", "227292\n", "429520\n", "231182\n", "122130\n", "160369\n", "136332\n", "24192\n", "14994\n", "14448\n", "136482\n", "16328\n", "1360\n", "2080\n", "7644\n", "2040\n", "1092\n", "2288\n", "416\n", "220\n", "351\n", "779\n", "832\n", "720\n", "286\n", "572\n", "3036\n", "1334\n", "58\n", "-116\n", "-92\n", "-138\n", "-32\n", "-201\n", "-117\n", "-228\n", "-172\n", "-244\n", "-183\n", "-18\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up. We will perform the following operation once for each square contains a card: * For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square. It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations. Constraints * 1 \leq N,M \leq 10^9 * All input values are integers. Input Input is given from Standard Input in the following format: N M Output Print the number of cards that face down after all the operations. Examples Input 2 2 Output 0 Input 1 7 Output 5 Input 314 1592 Output 496080 ### Input: 1 7 ### Output: 5 ### Input: 2 2 ### Output: 0 ### Code: n,m = map(int, input().split()) if n == 1 or m == 1: if n == 1 and m == 1: print(1) else: print(max(n,m)-2) else: print((m-2)*(n-2))
p03577 CODE FESTIVAL 2017 qual B - XXFESTIVAL_34753
Rng is going to a festival. The name of the festival is given to you as a string S, which ends with `FESTIVAL`, from input. Answer the question: "Rng is going to a festival of what?" Output the answer. Here, assume that the name of "a festival of s" is a string obtained by appending `FESTIVAL` to the end of s. For example, `CODEFESTIVAL` is a festival of `CODE`. Constraints * 9 \leq |S| \leq 50 * S consists of uppercase English letters. * S ends with `FESTIVAL`. Input Input is given from Standard Input in the following format: S Output Print the answer to the question: "Rng is going to a festival of what?" Examples Input CODEFESTIVAL Output CODE Input CODEFESTIVALFESTIVAL Output CODEFESTIVAL Input YAKINIKUFESTIVAL Output YAKINIKU
# Problem A - XXFESTIVAL # input S = input() # inititliazation s_len = len(S) ans = S[:(s_len - 8)] # output print(ans)
{ "input": [ "YAKINIKUFESTIVAL", "CODEFESTIVALFESTIVAL", "CODEFESTIVAL", "YAKINIJUFESTIVAL", "CODEFESTIVALFERTIVAL", "CODEFESTIVAM", "LAVITSEFUJINIKAY", "CPDEFESTIVAM", "LAVITSEEUJINIKAY", "CODEFESTIWALFESTIWAL", "LAWITSEFLAWITSEFEDOC", "BPDEFDSTIVBM", "CODEFWSTIWALFESTIEAL", "MBVITSDFEDPB", "IAKINYJUEESTIVAL", "COCEFWSTIWALFESTIEAL", "MBWITSDFEDPB", "COCTFWSTIWALFESEIEAL", "COCTIWSTFWALFESEIEAL", "BPCEFDSTIWBM", "IAKINYEUCJSTIVAL", "LAEIESEFLAWFTSWITCOC", "LAVITSJCUEYNIKAI", "LAEIESEFLAFWTSWITCOC", "CPCEFDSTJWBM", "LCEIESEFLAFWTSWITCOA", "IIKANYEUCJSTIVAL", "AOCTIWSTWFALFESEIECL", "WPCEFDSTJCAM", "MACJTSDFECPW", "BOCTIWSTWFALFETEIECL", "NACJTSDFECPW", "BOCTEWSTWFALFETEIICL", "LCIIETEFLAFWTSWETCOB", "OACJTSDFECQW", "LAWHUCJSUEYNAKII", "MCIIETEFLAFWTSWETCOB", "WQCEFDSTJCAO", "MCIOETEFLAFWTSWETCIB", "BICTEWSTWFALFETEOICM", "LIKANYEUSICVHWAI", "NCIOETEFLAFWTSWETCIB", "WOCEFDSTJDAO", "IAWHVCISUEYNAKIL", "OADJTSDFECOW", "I@WHVCISUEYNAKIL", "BICTCWSTWFALFETEOIEN", "I@XHVCISUEYNAKIL", "ENIOETEFLAFWTSWCTCIB", "LIKAOYETSICVHX@I", "XFCEOCSSJDAO", "ENIOETEFL@FWTCWCTCIS", "XFDEOCSSJDAO", "I@YHVCISTEYNAKIM", "SICTCWCTWF@LFETEOINE", "XJDEOCSSFDAO", "SJDEOCSXFDAO", "SIHTCWCTWF@LFETEOCNE", "OADFXSCOEDJS", "I@YHVCHSTEYNKAHM", "I@YGVCHSTEYNKAHM", "FNCOETEFL@FWTCWCTHIS", "TJDENCSXFDAO", "MH@KNYETSHCVGY@I", "NADFXSCNEDJT", "FECOEUNFL@FWTCWCTHIS", "MI@KNYETSHBVGZ@I", "FECOEUOFL@FWTCWCTHIS", "EECOEUOFL@FWTCWCTHIS", "TDJENDSXFDAO", "MI@KOYET@HBVGZSI", "EECOEUOFL@FVTCWCTHIS", "MIVKOYET@HC@GZSI", "EECOEUWFL@FVTCOCTIIS", "TCJENDSXFDAO", "LIVKOYET@HC@GZSI", "TBJENDSXFDAO", "LIVKOXET@HC@GZSI", "EECOEUWEL@FVTCOCTIHS", "SBJENDSXFDAO", "ISZG@CH@TEXOKVIL", "SHITCOCTVF@LEWUEOCEE", "SHITCOCTOF@LEWUEVCDE", "TIVKPXEL@HC@GZSI", "SHITCOCTOF@MEWUEVCDE", "OADGXTDNEJBS", "SHITCOCTOE@MEWUEVCDE", "PADGXTDNEJBS", "IGZS@CH@MEXPKVIT", "EDCVEUWEM@EOTCOCTIHS", "PAEGXTDNEJBS", "TIVKPXEM@HC@SZGI", "ECDVEUWEM@EOTCOCTIHS", "IGZS@CG@MEXPKVIT", "ECDVDUWEM@EOTCOCTIHS", "IGZR@CG@MEXPKVIT", "ECDVDUWEM@FOTCOCTIHS", "IGZR@CGPMEX@KVIT", "ECDVDUVEM@FOTCOCTIHS", "P@EGXTCNEIBS", "SBIENCTXGE@P", "G@EPXTCNEIBS", "SHITCOCTOF@CEUUDVDME" ], "output": [ "YAKINIKU", "CODEFESTIVAL", "CODE", "YAKINIJU\n", "CODEFESTIVAL\n", "CODE\n", "LAVITSEF\n", "CPDE\n", "LAVITSEE\n", "CODEFESTIWAL\n", "LAWITSEFLAWI\n", "BPDE\n", "CODEFWSTIWAL\n", "MBVI\n", "IAKINYJU\n", "COCEFWSTIWAL\n", "MBWI\n", "COCTFWSTIWAL\n", "COCTIWSTFWAL\n", "BPCE\n", "IAKINYEU\n", "LAEIESEFLAWF\n", "LAVITSJC\n", "LAEIESEFLAFW\n", "CPCE\n", "LCEIESEFLAFW\n", "IIKANYEU\n", "AOCTIWSTWFAL\n", "WPCE\n", "MACJ\n", "BOCTIWSTWFAL\n", "NACJ\n", "BOCTEWSTWFAL\n", "LCIIETEFLAFW\n", "OACJ\n", "LAWHUCJS\n", "MCIIETEFLAFW\n", "WQCE\n", "MCIOETEFLAFW\n", "BICTEWSTWFAL\n", "LIKANYEU\n", "NCIOETEFLAFW\n", "WOCE\n", "IAWHVCIS\n", "OADJ\n", "I@WHVCIS\n", "BICTCWSTWFAL\n", "I@XHVCIS\n", "ENIOETEFLAFW\n", "LIKAOYET\n", "XFCE\n", "ENIOETEFL@FW\n", "XFDE\n", "I@YHVCIS\n", "SICTCWCTWF@L\n", "XJDE\n", "SJDE\n", "SIHTCWCTWF@L\n", "OADF\n", "I@YHVCHS\n", "I@YGVCHS\n", "FNCOETEFL@FW\n", "TJDE\n", "MH@KNYET\n", "NADF\n", "FECOEUNFL@FW\n", "MI@KNYET\n", "FECOEUOFL@FW\n", "EECOEUOFL@FW\n", "TDJE\n", "MI@KOYET\n", "EECOEUOFL@FV\n", "MIVKOYET\n", "EECOEUWFL@FV\n", "TCJE\n", "LIVKOYET\n", "TBJE\n", "LIVKOXET\n", "EECOEUWEL@FV\n", "SBJE\n", "ISZG@CH@\n", "SHITCOCTVF@L\n", "SHITCOCTOF@L\n", "TIVKPXEL\n", "SHITCOCTOF@M\n", "OADG\n", "SHITCOCTOE@M\n", "PADG\n", "IGZS@CH@\n", "EDCVEUWEM@EO\n", "PAEG\n", "TIVKPXEM\n", "ECDVEUWEM@EO\n", "IGZS@CG@\n", "ECDVDUWEM@EO\n", "IGZR@CG@\n", "ECDVDUWEM@FO\n", "IGZR@CGP\n", "ECDVDUVEM@FO\n", "P@EG\n", "SBIE\n", "G@EP\n", "SHITCOCTOF@C\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Rng is going to a festival. The name of the festival is given to you as a string S, which ends with `FESTIVAL`, from input. Answer the question: "Rng is going to a festival of what?" Output the answer. Here, assume that the name of "a festival of s" is a string obtained by appending `FESTIVAL` to the end of s. For example, `CODEFESTIVAL` is a festival of `CODE`. Constraints * 9 \leq |S| \leq 50 * S consists of uppercase English letters. * S ends with `FESTIVAL`. Input Input is given from Standard Input in the following format: S Output Print the answer to the question: "Rng is going to a festival of what?" Examples Input CODEFESTIVAL Output CODE Input CODEFESTIVALFESTIVAL Output CODEFESTIVAL Input YAKINIKUFESTIVAL Output YAKINIKU ### Input: YAKINIKUFESTIVAL ### Output: YAKINIKU ### Input: CODEFESTIVALFESTIVAL ### Output: CODEFESTIVAL ### Code: # Problem A - XXFESTIVAL # input S = input() # inititliazation s_len = len(S) ans = S[:(s_len - 8)] # output print(ans)
p03734 AtCoder Regular Contest 073 - Simple Knapsack_34757
You have N items and a bag of strength W. The i-th item has a weight of w_i and a value of v_i. You will select some of the items and put them in the bag. Here, the total weight of the selected items needs to be at most W. Your objective is to maximize the total value of the selected items. Constraints * 1 ≤ N ≤ 100 * 1 ≤ W ≤ 10^9 * 1 ≤ w_i ≤ 10^9 * For each i = 2,3,...,N, w_1 ≤ w_i ≤ w_1 + 3. * 1 ≤ v_i ≤ 10^7 * W, each w_i and v_i are integers. Input Input is given from Standard Input in the following format: N W w_1 v_1 w_2 v_2 : w_N v_N Output Print the maximum possible total value of the selected items. Examples Input 4 6 2 1 3 4 4 10 3 4 Output 11 Input 4 6 2 1 3 7 4 10 3 6 Output 13 Input 4 10 1 100 1 100 1 100 1 100 Output 400 Input 4 1 10 100 10 100 10 100 10 100 Output 0
# -*- coding: utf-8 -*- from itertools import accumulate, product from operator import itemgetter def inpl(): return tuple(map(int, input().split())) N, W = inpl() I = [inpl() for _ in range(N)] w1 = I[0][0] A = {w1 + x: [] for x in range(4)} for w, v in I: A[w].append(v) for k, v in A.items(): A[k] = [0] + list(accumulate(sorted(v, reverse=True))) res = 0 g0 = itemgetter(0) g1 = itemgetter(1) for L in product(enumerate(A[w1]), enumerate(A[w1+1]), enumerate(A[w1+2]), enumerate(A[w1+3])): if sum([(w1+i)*l for i, l in enumerate(map(g0, L))]) <= W: res = max(res, sum(map(g1, L))) print(res)
{ "input": [ "4 10\n1 100\n1 100\n1 100\n1 100", "4 1\n10 100\n10 100\n10 100\n10 100", "4 6\n2 1\n3 7\n4 10\n3 6", "4 6\n2 1\n3 4\n4 10\n3 4", "4 10\n1 100\n2 100\n1 100\n1 100", "4 1\n10 100\n10 100\n10 101\n10 100", "4 6\n2 1\n3 6\n4 10\n3 4", "4 10\n1 000\n1 100\n1 100\n1 100", "4 6\n2 1\n3 7\n4 10\n3 9", "4 12\n2 1\n3 4\n4 10\n3 4", "4 6\n2 1\n3 6\n4 8\n3 4", "4 6\n2 1\n3 6\n4 10\n3 9", "4 10\n1 100\n4 100\n1 101\n1 100", "4 6\n2 1\n3 6\n2 8\n3 4", "4 10\n1 100\n4 110\n1 101\n1 100", "4 10\n1 100\n4 110\n1 111\n1 100", "4 10\n1 100\n4 111\n1 111\n1 100", "4 6\n2 1\n3 8\n2 8\n2 8", "4 10\n1 100\n4 111\n1 111\n1 101", "4 2\n2 1\n3 8\n2 8\n2 8", "4 3\n2 1\n3 7\n4 10\n3 6", "4 10\n1 100\n4 110\n1 100\n1 100", "4 6\n2 1\n3 6\n4 8\n3 6", "4 9\n2 1\n3 4\n4 10\n2 4", "4 6\n2 1\n3 1\n2 8\n3 1", "4 6\n2 1\n3 12\n2 8\n3 4", "4 2\n1 100\n1 110\n1 111\n1 100", "4 6\n2 1\n3 14\n2 6\n3 8", "4 3\n2 0\n3 13\n4 10\n3 6", "4 13\n0 000\n1 000\n1 100\n1 100", "4 17\n0 100\n2 001\n1 100\n2 100", "4 1\n1 100\n1 101\n1 111\n1 101", "4 15\n0 100\n2 110\n2 100\n1 110", "4 1\n1 100\n1 100\n1 110\n1 100", "4 6\n2 1\n3 8\n2 13\n3 4", "4 10\n1 100\n4 101\n1 111\n1 100", "4 10\n0 000\n1 100\n1 110\n1 100", "4 10\n1 100\n1 110\n1 011\n1 100", "4 9\n2 1\n3 14\n2 6\n3 8", "4 6\n2 1\n3 2\n2 2\n3 1", "4 13\n0 000\n1 000\n1 100\n1 110", "4 13\n0 000\n1 100\n1 101\n1 000", "4 1\n1 100\n1 101\n1 011\n1 101", "4 13\n0 101\n1 100\n1 101\n1 100", "4 1\n1 100\n1 100\n1 010\n1 100", "4 6\n2 1\n3 16\n2 8\n4 2", "4 10\n1 100\n1 110\n1 001\n1 100", "4 9\n2 1\n3 17\n2 6\n3 8", "4 6\n2 1\n3 2\n2 4\n3 1", "4 13\n0 000\n1 100\n1 111\n1 000", "4 13\n0 101\n1 000\n1 101\n1 100", "4 15\n0 100\n0 110\n2 000\n2 110", "4 10\n0 111\n2 101\n1 100\n2 101", "4 1\n1 1\n3 6\n4 12\n3 4", "4 10\n0 111\n2 101\n1 100\n2 001", "4 28\n0 100\n2 011\n1 100\n2 111", "4 1\n0 001\n0 100\n1 111\n1 101", "4 9\n0 000\n0 101\n0 001\n0 100", "4 10\n0 111\n2 101\n1 100\n2 011", "4 3\n0 111\n2 101\n1 100\n2 011", "4 15\n0 011\n1 100\n0 001\n1 110", "4 15\n0 110\n1 101\n0 111\n1 110", "4 15\n0 100\n2 110\n2 110\n2 110", "4 6\n2 1\n3 3\n2 2\n3 1", "4 6\n2 1\n3 0\n2 9\n3 16", "4 13\n0 101\n1 001\n1 101\n0 000", "4 11\n2 -1\n5 6\n4 7\n3 22", "4 15\n0 011\n1 100\n0 110\n1 110", "4 13\n0 101\n1 101\n1 100\n0 101", "4 3\n0 111\n2 001\n1 101\n2 011", "4 15\n0 110\n1 100\n0 111\n1 110", "4 15\n0 000\n2 110\n2 110\n1 110", "4 2\n2 1\n3 3\n2 2\n3 1", "4 6\n2 1\n3 0\n2 7\n3 16", "4 0\n1 100\n1 100\n1 100\n1 100", "4 2\n10 100\n10 100\n10 100\n10 100", "4 10\n1 100\n4 100\n1 100\n1 100", "4 1\n10 100\n10 000\n10 101\n10 100", "4 0\n1 100\n1 100\n1 110\n1 100", "4 2\n10 110\n10 100\n10 100\n10 100", "4 1\n10 100\n10 000\n10 001\n10 100", "4 6\n2 0\n3 6\n4 10\n3 9", "4 0\n1 100\n1 100\n1 111\n1 100", "4 1\n10 100\n10 010\n10 001\n10 100", "4 6\n2 1\n3 8\n2 8\n3 4", "4 0\n1 100\n1 100\n1 101\n1 100", "4 6\n2 1\n3 8\n2 8\n3 8", "4 0\n1 100\n1 100\n1 001\n1 100", "4 10\n0 100\n1 100\n1 100\n1 100", "4 0\n10 100\n10 100\n10 100\n10 100", "4 9\n2 1\n3 4\n4 10\n3 4", "4 10\n0 100\n2 100\n1 100\n1 100", "4 10\n0 000\n1 100\n1 100\n1 100", "4 6\n2 1\n3 7\n4 10\n3 4", "4 0\n10 100\n10 000\n10 101\n10 100", "4 6\n2 1\n3 6\n4 8\n3 9", "4 0\n1 100\n1 100\n1 010\n1 100", "4 2\n10 110\n10 100\n10 101\n10 100", "4 10\n1 100\n4 100\n2 101\n1 100", "4 1\n10 100\n10 000\n10 011\n10 100", "4 6\n2 1\n3 1\n2 8\n3 4", "4 6\n2 0\n5 6\n4 10\n3 9", "4 0\n1 100\n1 100\n1 111\n1 101", "4 6\n2 1\n3 8\n2 8\n4 4" ], "output": [ "400", "0", "13", "11", "400\n", "0\n", "11\n", "300\n", "16\n", "19\n", "10\n", "15\n", "401\n", "14\n", "411\n", "421\n", "422\n", "17\n", "423\n", "8\n", "7\n", "410\n", "12\n", "18\n", "9\n", "20\n", "221\n", "22\n", "13\n", "200\n", "301\n", "111\n", "420\n", "110\n", "21\n", "412\n", "310\n", "321\n", "28\n", "4\n", "210\n", "201\n", "101\n", "402\n", "100\n", "24\n", "311\n", "31\n", "6\n", "211\n", "302\n", "320\n", "413\n", "1\n", "313\n", "322\n", "212\n", "202\n", "323\n", "312\n", "222\n", "432\n", "430\n", "5\n", "25\n", "203\n", "29\n", "331\n", "403\n", "223\n", "431\n", "330\n", "2\n", "23\n", "0\n", "0\n", "400\n", "0\n", "0\n", "0\n", "0\n", "15\n", "0\n", "0\n", "16\n", "0\n", "16\n", "0\n", "400\n", "0\n", "15\n", "400\n", "300\n", "11\n", "0\n", "15\n", "0\n", "0\n", "401\n", "0\n", "12\n", "10\n", "0\n", "16\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You have N items and a bag of strength W. The i-th item has a weight of w_i and a value of v_i. You will select some of the items and put them in the bag. Here, the total weight of the selected items needs to be at most W. Your objective is to maximize the total value of the selected items. Constraints * 1 ≤ N ≤ 100 * 1 ≤ W ≤ 10^9 * 1 ≤ w_i ≤ 10^9 * For each i = 2,3,...,N, w_1 ≤ w_i ≤ w_1 + 3. * 1 ≤ v_i ≤ 10^7 * W, each w_i and v_i are integers. Input Input is given from Standard Input in the following format: N W w_1 v_1 w_2 v_2 : w_N v_N Output Print the maximum possible total value of the selected items. Examples Input 4 6 2 1 3 4 4 10 3 4 Output 11 Input 4 6 2 1 3 7 4 10 3 6 Output 13 Input 4 10 1 100 1 100 1 100 1 100 Output 400 Input 4 1 10 100 10 100 10 100 10 100 Output 0 ### Input: 4 10 1 100 1 100 1 100 1 100 ### Output: 400 ### Input: 4 1 10 100 10 100 10 100 10 100 ### Output: 0 ### Code: # -*- coding: utf-8 -*- from itertools import accumulate, product from operator import itemgetter def inpl(): return tuple(map(int, input().split())) N, W = inpl() I = [inpl() for _ in range(N)] w1 = I[0][0] A = {w1 + x: [] for x in range(4)} for w, v in I: A[w].append(v) for k, v in A.items(): A[k] = [0] + list(accumulate(sorted(v, reverse=True))) res = 0 g0 = itemgetter(0) g1 = itemgetter(1) for L in product(enumerate(A[w1]), enumerate(A[w1+1]), enumerate(A[w1+2]), enumerate(A[w1+3])): if sum([(w1+i)*l for i, l in enumerate(map(g0, L))]) <= W: res = max(res, sum(map(g1, L))) print(res)
p03896 CODE FESTIVAL 2016 Relay (Parallel) - 3y3s Challenge_34761
There are N persons, conveniently numbered 1 through N. They will take 3y3s Challenge for N-1 seconds. During the challenge, each person must look at each of the N-1 other persons for 1 seconds, in some order. If any two persons look at each other during the challenge, the challenge ends in failure. Find the order in which each person looks at each of the N-1 other persons, to be successful in the challenge. Constraints * 2 \leq N \leq 100 Input The input is given from Standard Input in the following format: N Output If there exists no way to be successful in the challenge, print `-1`. If there exists a way to be successful in the challenge, print any such way in the following format: A_{1,1} A_{1,2} ... A_{1, N-1} A_{2,1} A_{2,2} ... A_{2, N-1} : A_{N,1} A_{N,2} ... A_{N, N-1} where A_{i, j} is the index of the person that the person numbered i looks at during the j-th second. Judging The output is considered correct only if all of the following conditions are satisfied: * 1 \leq A_{i,j} \leq N * For each i, A_{i,1}, A_{i,2}, ... , A_{i, N-1} are pairwise distinct. * Let X = A_{i, j}, then A_{X, j} \neq i always holds. Examples Input 7 Output 2 3 4 5 6 7 5 3 1 6 4 7 2 7 4 1 5 6 2 1 7 5 3 6 1 4 3 7 6 2 2 5 7 3 4 1 2 6 1 4 5 3 Input 2 Output -1
n = int(input()) if n == 2: print(-1) exit() if n % 2 == 1: for i in range(n): print(" ".join([str((item + i + 1) % n + 1) for item in range(n-1)])) else: for i in range(n): ans = [(item + i + 1) % n + 1 for item in range(n-1) if item != n // 2 - 1] ans.insert(0, (n // 2 + i) % n + 1) if i < n // 2: ans[0], ans[1] = ans[1], ans[0] print(" ".join([str(item) for item in ans]))
{ "input": [ "2", "7", "3", "4", "5", "6", "8", "10", "12", "19", "37", "26", "43", "27", "50", "13", "9", "11", "18", "14", "15", "21", "35", "28", "36", "24", "54", "22", "17", "39", "34", "25", "31", "30", "42", "20", "32", "16", "48", "46", "45", "81", "29", "51", "40", "47", "106", "23", "121", "82", "41", "155", "49", "217", "84", "64", "182", "55", "90", "92", "61", "93", "83", "57", "67", "53", "58", "87", "66", "69", "116", "74", "130", "91", "179", "100", "175", "126", "33", "38", "52", "71", "70", "134", "163", "60", "44", "97", "79", "80", "108", "56", "62", "95", "72", "63", "154", "118", "148", "78", "85", "180" ], "output": [ "-1", "2 3 4 5 6 7\n5 3 1 6 4 7\n2 7 4 1 5 6\n2 1 7 5 3 6\n1 4 3 7 6 2\n2 5 7 3 4 1\n2 6 1 4 5 3", "2 3\n3 1\n1 2\n", "3 2 4\n4 3 1\n4 1 2\n1 2 3\n", "2 3 4 5\n3 4 5 1\n4 5 1 2\n5 1 2 3\n1 2 3 4\n", "3 2 5 4 6\n4 3 6 5 1\n5 4 1 6 2\n5 6 1 2 3\n6 1 2 3 4\n1 2 3 4 5\n", "3 2 5 4 7 6 8\n4 3 6 5 8 7 1\n5 4 7 6 1 8 2\n6 5 8 7 2 1 3\n6 7 8 1 2 3 4\n7 8 1 2 3 4 5\n8 1 2 3 4 5 6\n1 2 3 4 5 6 7\n", "3 2 5 4 7 6 9 8 10\n4 3 6 5 8 7 10 9 1\n5 4 7 6 9 8 1 10 2\n6 5 8 7 10 9 2 1 3\n7 6 9 8 1 10 3 2 4\n7 8 9 10 1 2 3 4 5\n8 9 10 1 2 3 4 5 6\n9 10 1 2 3 4 5 6 7\n10 1 2 3 4 5 6 7 8\n1 2 3 4 5 6 7 8 9\n", "3 2 5 4 7 6 9 8 11 10 12\n4 3 6 5 8 7 10 9 12 11 1\n5 4 7 6 9 8 11 10 1 12 2\n6 5 8 7 10 9 12 11 2 1 3\n7 6 9 8 11 10 1 12 3 2 4\n8 7 10 9 12 11 2 1 4 3 5\n8 9 10 11 12 1 2 3 4 5 6\n9 10 11 12 1 2 3 4 5 6 7\n10 11 12 1 2 3 4 5 6 7 8\n11 12 1 2 3 4 5 6 7 8 9\n12 1 2 3 4 5 6 7 8 9 10\n1 2 3 4 5 6 7 8 9 10 11\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26\n29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27\n30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 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22 25 24 1 26 3 2 5 4 7 6 9 8 11 10 12\n15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 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36 37 38\n41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81\n3 4 5 6 7 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14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n103 104 105 106 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101\n104 105 106 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102\n105 106 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103\n106 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 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21 24 23 26 25 27\n31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 1 82 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 28\n32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 29\n33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 1 82 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 30\n34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 31\n35 34 37 36 39 38 41 40 43 42 45 44 47 46 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16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 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36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62\n65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64\n67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65\n68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66\n69 70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67\n70 71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68\n71 72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n72 73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n73 74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71\n74 75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72\n75 76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73\n76 77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74\n77 78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75\n78 79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76\n79 80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77\n80 81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78\n81 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79\n82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 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40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 1 2 3 4 5 6 7 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47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 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75 76 77 78 79 80\n83 84 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81\n84 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83\n", "3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 64\n4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 1\n5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 15\n19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16\n20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 17\n21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 18\n22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 19\n23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 20\n24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 21\n25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 22\n26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 23\n27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 24\n28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 25\n29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 26\n30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 27\n31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 28\n32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 29\n33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 1 64 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 30\n34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56\n59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n", "3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 182\n4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 1\n5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 132 131 134 133 136 135 138 137 140 139 142 141 144 143 146 145 148 147 150 149 152 151 154 153 156 155 158 157 160 159 162 161 164 163 166 165 168 167 170 169 172 171 174 173 176 175 178 177 180 179 182 181 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 117 116 119 118 121 120 123 122 125 124 127 126 129 128 131 130 133 132 135 134 137 136 139 138 141 140 143 142 145 144 147 146 149 148 151 150 153 152 155 154 157 156 159 158 161 160 163 162 165 164 167 166 169 168 171 170 173 172 175 174 177 176 179 178 181 180 1 182 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 118 117 120 119 122 121 124 123 126 125 128 127 130 129 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29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179\n182 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 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37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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41 42 43 44 45 46\n49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 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28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88\n91 92 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89\n92 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91\n", "2 3 4 5 6 7 8 9 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58 59 60 61 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 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32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56\n59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62\n65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64\n67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65\n68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66\n69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67\n70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68\n71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71\n74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72\n75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 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74 75 76 77\n80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78\n81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79\n82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80\n83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26\n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27\n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 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13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56\n59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62\n65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64\n67 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26\n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27\n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n", "3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 58\n4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 1\n5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 6 5 8 7 10 9 12 11 14 13 15\n19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 1 58 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16\n20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 17\n21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 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47 48 49 50 51 52 53 54 55 56 57\n60 61 62 63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62\n65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26\n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27\n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56\n59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n63 64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n64 65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62\n65 66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n66 67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64\n67 68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65\n68 69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66\n69 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 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80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 105 104 107 106 109 108 111 110 113 112 115 114 1 116 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 102 101 104 103 106 105 108 107 110 109 112 111 114 113 116 115 2 1 4 3 6 5 8 7 10 9 12 11 14 13 15\n19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 63 62 65 64 67 66 69 68 71 70 73 72 75 74 77 76 79 78 81 80 83 82 85 84 87 86 89 88 91 90 93 92 95 94 97 96 99 98 101 100 103 102 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28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 63 64 65 66 67 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55 56\n59 60 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n", "3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 44\n4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 1\n5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 10 9 12 11 14 13 15\n19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16\n20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 17\n21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 18\n22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 19\n23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 1 44 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 20\n24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22\n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24\n27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26\n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27\n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 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20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67\n70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68\n71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71\n74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72\n75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 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62 63 64 65 66 67 68 69 70 71 72 73 74 75 76\n79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77\n80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78\n81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79\n82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80\n83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81\n84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82\n85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83\n86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84\n87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85\n88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86\n89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87\n90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88\n91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89\n92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90\n93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91\n94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 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41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95\n98 99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96\n99 100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97\n100 101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98\n101 102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99\n102 103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n103 104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101\n104 105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102\n105 106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103\n106 107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104\n107 108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105\n108 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107\n", "3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 56\n4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 1\n5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 15\n19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16\n20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 17\n21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 18\n22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 19\n23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 20\n24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 21\n25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 22\n26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 23\n27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 24\n28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 25\n29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 1 56 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 26\n30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 27\n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30\n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n", "3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 62\n4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 1\n5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 2\n6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 3\n7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 4\n8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 5\n9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 6\n10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 7\n11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 8\n12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 9\n13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 10\n14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 11\n15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 12\n16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 13\n17 16 19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 14\n18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 15\n19 18 21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 16\n20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 17\n21 20 23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 18\n22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 19\n23 22 25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 20\n24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 21\n25 24 27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 22\n26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 23\n27 26 29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 24\n28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 25\n29 28 31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 26\n30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 27\n31 30 33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 28\n32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 29\n33 32 35 34 37 36 39 38 41 40 43 42 45 44 47 46 49 48 51 50 53 52 55 54 57 56 59 58 61 60 1 62 3 2 5 4 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 30\n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31\n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32\n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33\n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34\n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35\n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39\n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40\n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41\n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42\n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43\n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44\n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45\n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46\n49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48\n51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49\n52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51\n54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52\n55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53\n56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55\n58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56\n59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57\n60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58\n61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2\n5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3\n6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4\n7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5\n8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7\n10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8\n11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9\n12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10\n13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11\n14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12\n15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13\n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16\n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21\n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26\n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27\n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28\n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29\n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 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34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n72 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71\n", "2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63\n3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1\n4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 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133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160\n163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161\n164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162\n165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163\n166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164\n167 168 169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165\n168 169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166\n169 170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167\n170 171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168\n171 172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169\n172 173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170\n173 174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171\n174 175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172\n175 176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173\n176 177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174\n177 178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175\n178 179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176\n179 180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177\n180 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179\n" ] }
5ATCODER
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There are N persons, conveniently numbered 1 through N. They will take 3y3s Challenge for N-1 seconds. During the challenge, each person must look at each of the N-1 other persons for 1 seconds, in some order. If any two persons look at each other during the challenge, the challenge ends in failure. Find the order in which each person looks at each of the N-1 other persons, to be successful in the challenge. Constraints * 2 \leq N \leq 100 Input The input is given from Standard Input in the following format: N Output If there exists no way to be successful in the challenge, print `-1`. If there exists a way to be successful in the challenge, print any such way in the following format: A_{1,1} A_{1,2} ... A_{1, N-1} A_{2,1} A_{2,2} ... A_{2, N-1} : A_{N,1} A_{N,2} ... A_{N, N-1} where A_{i, j} is the index of the person that the person numbered i looks at during the j-th second. Judging The output is considered correct only if all of the following conditions are satisfied: * 1 \leq A_{i,j} \leq N * For each i, A_{i,1}, A_{i,2}, ... , A_{i, N-1} are pairwise distinct. * Let X = A_{i, j}, then A_{X, j} \neq i always holds. Examples Input 7 Output 2 3 4 5 6 7 5 3 1 6 4 7 2 7 4 1 5 6 2 1 7 5 3 6 1 4 3 7 6 2 2 5 7 3 4 1 2 6 1 4 5 3 Input 2 Output -1 ### Input: 2 ### Output: -1 ### Input: 7 ### Output: 2 3 4 5 6 7 5 3 1 6 4 7 2 7 4 1 5 6 2 1 7 5 3 6 1 4 3 7 6 2 2 5 7 3 4 1 2 6 1 4 5 3 ### Code: n = int(input()) if n == 2: print(-1) exit() if n % 2 == 1: for i in range(n): print(" ".join([str((item + i + 1) % n + 1) for item in range(n-1)])) else: for i in range(n): ans = [(item + i + 1) % n + 1 for item in range(n-1) if item != n // 2 - 1] ans.insert(0, (n // 2 + i) % n + 1) if i < n // 2: ans[0], ans[1] = ans[1], ans[0] print(" ".join([str(item) for item in ans]))
p00002 Digit Number_34765
Write a program which computes the digit number of sum of two integers a and b. Constraints * 0 ≤ a, b ≤ 1,000,000 * The number of datasets ≤ 200 Input There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF. Output Print the number of digits of a + b for each data set. Example Input 5 7 1 99 1000 999 Output 2 3 4
while 1: try: a,b=map(int,input().split()) print(len(str(a+b))) except: break
{ "input": [ "5 7\n1 99\n1000 999", "4 7\n1 99\n1000 999", "10 10\n2 36\n1000 25", "10 10\n2 3\n1000 6", "0 1\n2 3\n1001 6", "0 0\n3 0\n0101 6", "1 1\n5 0\n0001 6", "1 1\n5 0\n0001 9", "2 0\n13 1\n1011 4", "2 0\n13 1\n0011 4", "0 -1\n0 0\n0010 7", "0 -1\n0 0\n0111 7", "-1 -1\n0 -1\n0111 14", "-2 -1\n0 -1\n0011 14", "-2 0\n2 -1\n0001 0", "-2 -1\n2 -15\n0110 -1", "0 -1\n0 -1\n0011 -2", "2 -1\n-6 1\n1001 -14", "-12 0\n1 2\n1110 5", "-24 0\n0 2\n0110 7", "-21 -2\n0 1\n0011 0", "-2 -13\n1 0\n0000 1", "-11 0\n0 -1\n1010 0", "1 0\n1 -2\n0000 2", "0 -42\n0 -1\n0100 0", "0 -13\n1 -2\n0000 0", "6 7\n1 99\n1000 999", "6 7\n1 99\n1000 1964", "6 7\n1 99\n1000 191", "6 7\n1 99\n1000 245", "6 7\n1 99\n1000 161", "6 7\n1 99\n1000 225", "6 7\n1 99\n1010 225", "6 7\n1 99\n1010 244", "6 7\n1 99\n1000 244", "6 7\n1 99\n1000 34", "6 7\n1 99\n1000 25", "6 7\n2 99\n1000 25", "6 10\n2 99\n1000 25", "10 10\n2 99\n1000 25", "10 10\n2 36\n1000 6", "10 10\n2 25\n1000 6", "10 10\n2 3\n1001 6", "10 11\n2 3\n1001 6", "10 1\n2 3\n1001 6", "0 1\n2 3\n1011 6", "0 1\n2 3\n1101 6", "0 0\n2 3\n1101 6", "0 0\n3 3\n1101 6", "0 0\n3 0\n1101 6", "0 1\n3 0\n0101 6", "0 1\n3 -1\n0101 6", "1 1\n3 -1\n0101 6", "2 1\n3 -1\n0101 6", "2 1\n3 0\n0101 6", "2 1\n5 0\n0101 6", "0 1\n5 0\n0101 6", "1 1\n5 0\n0101 6", "1 1\n5 0\n0001 17", "1 1\n5 0\n0001 34", "1 1\n5 -1\n0001 34", "1 1\n5 -1\n0011 34", "1 1\n5 0\n0011 34", "0 1\n5 0\n0011 34", "0 1\n5 0\n0011 10", "0 1\n5 1\n0011 10", "0 1\n5 1\n0011 6", "0 1\n5 1\n0011 3", "0 1\n5 1\n0011 4", "0 1\n5 2\n0011 4", "0 1\n5 0\n0011 4", "0 2\n5 0\n0011 4", "0 2\n5 0\n0011 2", "0 2\n5 1\n0011 2", "0 4\n5 1\n0011 2", "0 4\n5 1\n1011 2", "0 0\n5 1\n1011 2", "0 0\n5 1\n1011 4", "0 0\n5 1\n1011 3", "0 0\n5 1\n1010 3", "1 0\n5 1\n1010 3", "2 0\n5 1\n1010 3", "2 0\n5 1\n1011 3", "2 0\n8 1\n1011 3", "2 0\n8 1\n1011 6", "2 0\n8 1\n1011 4", "2 0\n13 2\n0011 4", "2 0\n7 1\n0011 4", "2 0\n7 1\n0111 4", "2 0\n7 1\n0101 4", "2 0\n1 1\n0101 4", "2 -1\n1 1\n0101 4", "2 -1\n1 1\n0001 4", "2 -1\n1 1\n0011 4", "2 -1\n1 1\n0011 7", "2 -1\n1 1\n0010 7", "2 -1\n0 1\n0010 7", "2 -1\n0 1\n0011 7", "4 -1\n0 1\n0010 7", "4 -1\n0 0\n0010 7", "6 -1\n0 0\n0010 7" ], "output": [ "2\n3\n4", "2\n3\n4\n", "2\n2\n4\n", "2\n1\n4\n", "1\n1\n4\n", "1\n1\n3\n", "1\n1\n1\n", "1\n1\n2\n", "1\n2\n4\n", "1\n2\n2\n", "2\n1\n2\n", "2\n1\n3\n", "2\n2\n3\n", "2\n2\n2\n", "2\n1\n1\n", "2\n3\n3\n", "2\n2\n1\n", "1\n2\n3\n", "3\n1\n4\n", "3\n1\n3\n", "3\n1\n2\n", "3\n1\n1\n", "3\n2\n4\n", "1\n2\n1\n", "3\n2\n3\n", "3\n2\n1\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n3\n4\n", "2\n2\n4\n", "2\n2\n4\n", "2\n1\n4\n", "2\n1\n4\n", "2\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n1\n4\n", "1\n2\n2\n", "1\n1\n2\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n3\n", "1\n1\n1\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n", "1\n1\n2\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Write a program which computes the digit number of sum of two integers a and b. Constraints * 0 ≤ a, b ≤ 1,000,000 * The number of datasets ≤ 200 Input There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF. Output Print the number of digits of a + b for each data set. Example Input 5 7 1 99 1000 999 Output 2 3 4 ### Input: 5 7 1 99 1000 999 ### Output: 2 3 4 ### Input: 4 7 1 99 1000 999 ### Output: 2 3 4 ### Code: while 1: try: a,b=map(int,input().split()) print(len(str(a+b))) except: break
p00134 Exit Survey_34769
I conducted an exit poll of the shopping amount at a department store. Create a program that takes the shopping amount data as input, calculates the average shopping amount per person, and outputs it. The number of people surveyed shall be 100,000 or less, and the shopping amount per person shall not exceed 1 million yen. Input The input is given in the following format: n v1 v2 :: vn The first line gives the number of people surveyed n, and the following n lines give the integer vi representing the purchase amount of the ith person. Output Please output the average shopping amount (integer: rounded down to the nearest whole number) on one line. Example Input 6 12300 5600 33800 0 26495 52000 Output 21699
# AOJ 0134 Exit Survey # Python3 2018.6.18 bal4u sum = 0 n = int(input()) for i in range(n): sum += int(input()) print(sum // n)
{ "input": [ "6\n12300\n5600\n33800\n0\n26495\n52000", "6\n23426\n5600\n33800\n0\n26495\n52000", "6\n23426\n5600\n33800\n0\n17519\n52000", "6\n23426\n5600\n33800\n0\n14222\n52000", "6\n23426\n5600\n33800\n0\n2007\n52000", "6\n23426\n5600\n33800\n0\n2007\n80378", "6\n23426\n5600\n33800\n0\n3681\n80378", "6\n23426\n5600\n33800\n0\n3681\n10193", "6\n46488\n5600\n33800\n0\n3681\n10193", "6\n46488\n5600\n33800\n0\n1682\n10193", "6\n46488\n5600\n33800\n1\n1682\n10193", "6\n46488\n1887\n33800\n1\n1682\n10193", "6\n46488\n1887\n33800\n1\n1682\n17516", "6\n46488\n1887\n33800\n1\n3099\n17516", "6\n46488\n1887\n33800\n1\n3099\n22923", "6\n46488\n1887\n33800\n1\n2044\n22923", "6\n46488\n1887\n59564\n1\n2044\n22923", "6\n46488\n1887\n59564\n1\n2306\n22923", "6\n46488\n1887\n22806\n1\n2306\n22923", "6\n46488\n1887\n18072\n1\n2306\n22923", "6\n46488\n1887\n18072\n1\n2306\n12367", "6\n46488\n1887\n15526\n1\n2306\n12367", "6\n2617\n1887\n15526\n1\n2306\n12367", "6\n2617\n95\n15526\n1\n2306\n12367", "6\n1889\n95\n15526\n1\n2306\n12367", "6\n1889\n95\n11132\n1\n2306\n12367", "6\n1889\n95\n11132\n1\n1588\n12367", "6\n1889\n95\n11132\n2\n1371\n12367", "6\n1889\n95\n9553\n2\n1371\n12367", "6\n1889\n95\n9553\n2\n161\n12367", "6\n1889\n187\n9553\n2\n161\n12367", "6\n1889\n187\n10744\n2\n161\n12367", "6\n1889\n187\n10744\n2\n299\n12367", "6\n1889\n187\n10744\n0\n299\n12367", "6\n2491\n187\n10744\n0\n299\n12367", "6\n2491\n187\n10744\n0\n485\n12367", "6\n2491\n343\n10744\n0\n485\n12367", "6\n3670\n343\n10744\n0\n485\n12367", "6\n3670\n616\n10744\n0\n485\n12367", "6\n3670\n616\n10744\n0\n781\n12367", "6\n3670\n4\n10744\n0\n781\n12367", "6\n3670\n4\n10744\n0\n578\n12367", "6\n3670\n4\n4012\n1\n578\n12367", "6\n3670\n4\n6594\n1\n578\n12367", "6\n3670\n4\n6594\n1\n578\n4740", "6\n3670\n4\n6594\n2\n578\n4740", "6\n3670\n4\n11188\n2\n578\n4740", "6\n3670\n4\n3217\n2\n578\n4740", "6\n3670\n9\n3217\n2\n578\n4740", "6\n3670\n13\n3217\n1\n675\n4740", "6\n3824\n13\n3217\n1\n675\n4740", "6\n3824\n13\n3217\n1\n675\n9278", "6\n3824\n13\n4667\n1\n675\n9278", "6\n3824\n10\n4667\n1\n675\n9278", "6\n5798\n8\n4667\n1\n675\n9278", "6\n4792\n8\n4667\n1\n675\n9278", "6\n1537\n8\n4667\n1\n675\n9278", "6\n1537\n10\n4667\n1\n675\n3332", "6\n1537\n10\n4667\n1\n929\n3332", "6\n1537\n10\n4667\n1\n405\n3332", "6\n1537\n20\n4667\n1\n405\n3332", "6\n1537\n20\n550\n1\n405\n3332", "6\n1537\n20\n775\n1\n405\n3332", "6\n1537\n20\n775\n1\n405\n1204", "6\n1537\n20\n775\n2\n405\n62", "6\n1537\n20\n775\n2\n639\n62", "6\n1042\n20\n775\n2\n639\n62", "6\n1042\n21\n538\n2\n639\n62", "6\n1042\n8\n538\n2\n639\n62", "6\n1042\n8\n538\n2\n639\n104", "6\n1042\n8\n892\n2\n639\n104", "6\n1042\n8\n892\n2\n311\n104", "6\n1042\n8\n892\n2\n311\n9", "6\n1042\n8\n892\n2\n361\n9", "6\n1656\n8\n892\n2\n361\n9", "6\n1656\n8\n892\n2\n541\n9", "6\n1656\n7\n892\n2\n541\n9", "6\n1656\n7\n892\n2\n63\n6", "6\n1100\n7\n892\n2\n63\n6", "6\n1100\n7\n360\n2\n63\n6", "6\n1100\n7\n346\n2\n63\n7", "6\n1100\n11\n346\n4\n63\n7", "6\n1110\n9\n65\n6\n63\n7", "6\n1110\n17\n65\n6\n63\n7", "6\n1110\n14\n65\n9\n125\n7", "6\n1110\n10\n65\n16\n125\n7", "6\n1010\n10\n65\n16\n125\n7", "6\n1010\n10\n44\n16\n125\n7", "6\n1010\n10\n44\n16\n166\n7", "6\n1010\n10\n44\n16\n166\n0", "6\n1011\n10\n44\n16\n298\n0", "6\n1010\n10\n40\n16\n511\n0", "6\n1010\n17\n40\n16\n511\n0", "6\n1010\n17\n40\n16\n999\n0", "6\n1010\n17\n39\n16\n999\n0", "6\n1010\n17\n66\n16\n999\n0", "6\n1010\n17\n87\n16\n999\n0", "6\n1010\n17\n104\n16\n999\n0", "6\n0010\n17\n104\n16\n1535\n0", "6\n0010\n17\n39\n16\n1535\n0", "6\n0010\n17\n33\n16\n1535\n0" ], "output": [ "21699", "23553\n", "22057\n", "21508\n", "19472\n", "24201\n", "24480\n", "12783\n", "16627\n", "16293\n", "16294\n", "15675\n", "16895\n", "17131\n", "18033\n", "17857\n", "22151\n", "22194\n", "16068\n", "15279\n", "13520\n", "13095\n", "5784\n", "5485\n", "5364\n", "4631\n", "4512\n", "4476\n", "4212\n", "4011\n", "4026\n", "4225\n", "4248\n", "4247\n", "4348\n", "4379\n", "4405\n", "4601\n", "4647\n", "4696\n", "4594\n", "4560\n", "3438\n", "3869\n", "2597\n", "2598\n", "3363\n", "2035\n", "2036\n", "2052\n", "2078\n", "2834\n", "3076\n", "3075\n", "3404\n", "3236\n", "2694\n", "1703\n", "1746\n", "1658\n", "1660\n", "974\n", "1011\n", "657\n", "466\n", "505\n", "423\n", "384\n", "381\n", "388\n", "447\n", "393\n", "377\n", "385\n", "488\n", "518\n", "517\n", "437\n", "345\n", "256\n", "254\n", "255\n", "210\n", "211\n", "221\n", "222\n", "205\n", "202\n", "208\n", "207\n", "229\n", "264\n", "265\n", "347\n", "346\n", "351\n", "354\n", "357\n", "280\n", "269\n", "268\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: I conducted an exit poll of the shopping amount at a department store. Create a program that takes the shopping amount data as input, calculates the average shopping amount per person, and outputs it. The number of people surveyed shall be 100,000 or less, and the shopping amount per person shall not exceed 1 million yen. Input The input is given in the following format: n v1 v2 :: vn The first line gives the number of people surveyed n, and the following n lines give the integer vi representing the purchase amount of the ith person. Output Please output the average shopping amount (integer: rounded down to the nearest whole number) on one line. Example Input 6 12300 5600 33800 0 26495 52000 Output 21699 ### Input: 6 12300 5600 33800 0 26495 52000 ### Output: 21699 ### Input: 6 23426 5600 33800 0 26495 52000 ### Output: 23553 ### Code: # AOJ 0134 Exit Survey # Python3 2018.6.18 bal4u sum = 0 n = int(input()) for i in range(n): sum += int(input()) print(sum // n)
p00267 The Lonely Girl's Lie_34773
There is a game called Packet Monster. A game that catches, raises, fights and exchanges monsters, and is very popular all over Japan. Of course, in my class. That's why I also raise monsters so that I can play with everyone in this game, but sadly there is no opponent to play against. I'm not the type who is good at talking to people positively. So today, I'm lonely raising the level of the monster while waiting for my classmates to invite me. And finally, the long-awaited moment has arrived. One of my classmates asked me if I could play. She proudly showed her monsters. The general packet monster battle rule is that each player prepares N monsters and fights one against each other. Each monster has a number called "level" that indicates the degree of growth, and the monster with the higher level always wins. At the same level, it is a draw. Once a monster has fought, it cannot be made to fight any further. After N one-on-one battles, the winner is the player who wins the majority. The moment I saw her monster, I had a bad feeling. All her monsters look very strong. You can lose if you fight me. However, if I lose too badly, I think "it's not fun to fight this guy" and I think he won't play anymore. I hate it very much. So "Sorry, I don't have N monsters yet." I lied. Even if you don't win in the N rounds, you may win if you have a special rule to play with a smaller number of monsters. I said earlier that it's okay to lose, but I'm glad if I win. She accepted this special rule. In other words, the winner is the one who chooses k of each other's monsters and fights them one by one in turn, and wins the majority (that is, the number larger than k / 2). Earlier I knew the level of her monster. I don't know which monster she chooses and in what order. But if I decide how many monsters to play against, I may be able to win no matter what choice she makes. I would like to ask everyone. Enter the number of monsters N and the level of the monsters they have, and write a program that outputs the minimum number of monsters k that I can win no matter what choice she makes. input The input consists of multiple datasets. The end of the input is indicated by a single zero line. Each dataset is given in the following format: N a1 a2 ... aN b1 b2 ... bN The number of monsters N (1 ≤ N ≤ 40000) is given on the first line. On the second line, your monster's level ai (1 ≤ ai ≤ 100000) is given with one blank delimiter. On the third line, the level bi (1 ≤ bi ≤ 100000) of the classmate monster is given with one blank delimiter. The number of datasets does not exceed 50. output For each data set, if k (1 ≤ k <N) exists, the minimum value is output on one line. If k does not exist or k is equal to N, then NA is output. Example Input 10 4 9 1 9 5 9 2 3 2 1 8 7 6 5 10 5 5 4 7 6 5 4 3 2 5 1 4 4 4 4 4 4 4 1 3 2 4 3 2 1 0 Output 3 1 NA
from collections import deque while True: n = int(input()) if n == 0:break q1 = deque(sorted(map(int, input().split()))) q2 = deque(sorted(map(int, input().split()))) cnt = 0 for k in range(1, n): top1 = q1.pop() top2 = q2.pop() if top1 > top2: cnt += 1 q2.append(top2) q2.popleft() if cnt * 2 > k: print(k) break else: print("NA")
{ "input": [ "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 5 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 15 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 9 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 17 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 2 18 5 9 3 3 2 1\n8 7 6 5 10 5 9 4 7 12\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 2 3 2\n4 3 2 0\n0", "10\n4 17 1 9 5 18 2 3 2 1\n8 12 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 1 4 4 4\n0\n2 1 3 2\n5 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 7 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n7 1 3 2\n4 3 2 1\n0", "10\n4 9 2 18 5 9 3 3 2 1\n8 7 6 5 0 2 9 4 7 12\n5\n4 3 1 5 0\n8 4 4 4 4\n4\n4 0 5 2\n4 3 2 0\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 12 5 10 5 7 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n7 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 1 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 7 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n0\n4 3 2 5 1\n4 4 4 4 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 4 4 2 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n3 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 0\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 1 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 1 4 4 7 6\n0\n4 3 2 5 1\n4 4 4 4 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 0\n4 4 4 2 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 4\n4\n3 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 3 10 5 4 4 7 9\n0\n3 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n12 7 6 5 10 5 4 4 11 0\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 15 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 5\n0\n4 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n4 6 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 2 9 5 9 2 3 2 1\n8 7 6 5 10 5 9 4 7 6\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 9 6 5 10 1 4 4 7 6\n0\n4 3 2 5 1\n4 4 4 4 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 0\n4 4 4 2 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 4\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 3 10 5 4 4 8 9\n0\n3 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n12 7 6 5 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 15 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 5\n0\n4 3 2 10 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 3 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n4 6 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 2 9 5 9 2 3 2 1\n8 7 6 5 10 5 9 4 7 12\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 17 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n4 1 3 2\n5 3 2 1\n0", "10\n4 9 1 18 5 9 2 3 2 1\n8 9 6 5 10 1 4 4 7 6\n0\n4 3 2 5 1\n4 4 4 4 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 4 4 2 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 7 5 10 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 4\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 3 10 5 4 4 8 9\n0\n2 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n12 7 6 10 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 15 1 9 10 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 5\n0\n4 3 2 10 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 3 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n4 6 2 5 1\n4 4 4 4 4\n4\n8 1 3 2\n4 3 2 1\n0", "10\n4 11 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 0\n0", "10\n4 9 2 9 5 9 3 3 2 1\n8 7 6 5 10 5 9 4 7 12\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 1\n0", "10\n4 17 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n1 1 3 2\n5 3 2 1\n0", "10\n4 9 1 18 5 9 2 3 2 1\n8 9 6 5 10 1 4 4 7 6\n0\n4 2 2 5 1\n4 4 4 4 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 2 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 0 5 1\n4 4 4 2 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 7 5 3 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 4\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 9 3 3 4 1\n8 7 6 3 10 5 4 4 8 9\n0\n2 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 14 1 9 5 9 2 3 4 1\n12 7 6 10 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 15 1 9 10 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 5\n0\n4 3 2 10 1\n4 4 4 4 4\n0\n5 1 3 2\n4 3 2 1\n0", "10\n4 3 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n4 6 2 5 1\n4 4 4 4 4\n4\n8 1 3 2\n7 3 2 1\n0", "10\n4 11 1 9 5 7 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 0\n0", "10\n4 9 2 9 5 9 3 3 2 1\n8 7 6 5 10 5 9 4 7 12\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 1 3 2\n4 3 2 0\n0", "10\n4 17 1 9 5 9 2 3 2 1\n8 12 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n1 1 3 2\n5 3 2 1\n0", "10\n4 9 1 18 5 9 2 3 2 1\n8 9 2 5 10 1 4 4 7 6\n0\n4 2 2 5 1\n4 4 4 4 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 3 0 5 1\n4 4 4 2 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 7 5 3 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 3\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 9 3 6 4 1\n8 7 6 3 10 5 4 4 8 9\n0\n2 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 14 1 9 5 9 2 3 4 1\n12 7 6 10 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 0 3 2\n4 3 2 1\n0", "10\n4 15 1 9 10 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 5\n0\n4 3 2 19 1\n4 4 4 4 4\n0\n5 1 3 2\n4 3 2 1\n0", "10\n4 3 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n4 6 2 5 1\n4 4 4 4 4\n4\n8 0 3 2\n7 3 2 1\n0", "10\n4 11 2 9 5 7 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 4 4\n4\n5 1 3 2\n4 3 2 0\n0", "10\n4 9 2 9 5 9 3 3 2 1\n8 7 6 5 10 5 9 4 7 12\n5\n4 3 2 5 1\n4 4 4 4 4\n4\n4 2 3 2\n4 3 2 0\n0", "10\n4 17 1 9 5 18 2 3 2 1\n8 12 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n1 1 3 2\n5 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 4 0 5 1\n4 4 4 2 4\n0\n4 1 3 2\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 7 3 3 5 4 4 7 9\n0\n4 3 2 5 1\n4 5 4 4 3\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 9 3 6 4 1\n11 7 6 3 10 5 4 4 8 9\n0\n2 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 14 1 9 5 9 2 3 4 1\n12 7 6 10 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 0 1 2\n4 3 2 1\n0", "10\n4 15 1 9 10 9 2 3 4 1\n8 7 6 5 10 5 4 4 11 5\n0\n4 3 2 19 1\n4 1 4 4 4\n0\n5 1 3 2\n4 3 2 1\n0", "10\n4 3 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n0 6 2 5 1\n4 4 4 4 4\n4\n8 0 3 2\n7 3 2 1\n0", "10\n4 11 2 9 5 7 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 2 4\n4\n5 1 3 2\n4 3 2 0\n0", "10\n4 17 1 9 5 18 2 3 2 1\n8 12 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 4 4 4 4\n4\n2 1 3 2\n5 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 10 5 4 4 7 9\n0\n4 4 0 5 1\n4 4 4 2 4\n0\n4 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 7 3 3 5 4 4 7 9\n0\n4 3 2 6 1\n4 5 4 4 3\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 5 3 6 4 1\n11 7 6 3 10 5 4 4 8 9\n0\n2 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 14 1 8 5 9 2 3 4 1\n12 7 6 10 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 0 1 2\n4 3 2 1\n0", "10\n4 15 1 9 10 9 2 3 4 1\n8 7 6 5 10 5 4 2 11 5\n0\n4 3 2 19 1\n4 1 4 4 4\n0\n5 1 3 2\n4 3 2 1\n0", "10\n5 3 1 9 5 6 2 3 4 1\n8 7 6 5 10 5 4 4 11 15\n0\n0 6 2 5 1\n4 4 4 4 4\n4\n8 0 3 2\n7 3 2 1\n0", "10\n4 11 2 9 5 7 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 2 1\n4\n5 1 3 2\n4 3 2 0\n0", "10\n4 9 2 18 5 9 3 3 2 1\n8 7 6 5 10 5 9 4 7 12\n5\n4 3 1 5 1\n4 4 4 4 4\n4\n4 2 3 2\n4 3 2 0\n0", "10\n4 17 1 9 5 18 2 3 2 1\n8 12 6 5 10 5 4 4 7 6\n5\n4 3 2 1 1\n2 1 4 4 4\n4\n2 1 3 2\n5 3 2 1\n0", "10\n4 9 1 9 5 9 2 3 4 1\n8 7 6 5 0 5 4 4 7 9\n0\n4 4 0 5 1\n4 4 4 2 4\n0\n4 1 3 3\n4 3 2 1\n0", "10\n4 9 0 9 5 9 2 3 4 1\n8 7 7 3 3 5 4 4 7 9\n0\n4 3 2 6 1\n4 5 4 4 3\n4\n3 1 3 3\n4 3 2 1\n0", "10\n4 9 1 9 5 5 3 6 4 1\n17 7 6 3 10 5 4 4 8 9\n0\n2 3 2 5 1\n4 4 4 4 4\n4\n5 1 3 2\n4 3 2 1\n0", "10\n4 14 1 8 5 9 2 3 4 1\n12 7 6 10 10 5 4 4 11 0\n0\n4 3 2 5 1\n6 4 4 4 4\n4\n5 0 1 1\n4 3 2 1\n0", "10\n4 15 1 9 10 9 2 3 4 1\n8 7 6 5 10 5 4 2 11 5\n0\n4 3 2 19 1\n4 1 4 4 4\n0\n5 1 3 2\n4 3 2 2\n0", "10\n5 3 1 9 5 6 2 3 4 1\n8 7 6 5 6 5 4 4 11 15\n0\n0 6 2 5 1\n4 4 4 4 4\n4\n8 0 3 2\n7 3 2 1\n0", "10\n4 11 2 9 5 7 2 3 4 1\n8 7 6 5 10 5 4 4 11 9\n0\n4 3 4 5 1\n6 4 4 1 1\n4\n5 1 3 2\n4 3 2 0\n0" ], "output": [ "3\n1\nNA", "3\n1\nNA\n", "3\n", "NA\n", "3\nNA\nNA\n", "1\n", "NA\n1\nNA\n", "1\nNA\nNA\n", "1\n1\nNA\n", "1\nNA\n", "3\n1\n1\n", "1\nNA\n1\n", "NA\n1\n1\n", "NA\n", "NA\n", "NA\n", "NA\n", "NA\n", "NA\n", "3\n1\nNA\n", "3\n", "NA\n", "NA\n", "NA\n", "NA\n", "NA\n", "NA\n", "3\nNA\nNA\n", "3\n", "NA\n", "NA\n", "NA\n", "NA\n", "1\n", "NA\n", "NA\n", "NA\n1\nNA\n", "NA\n", "NA\n", "NA\n", "NA\n", "NA\n", "1\n", "NA\n", "NA\n", "NA\n1\nNA\n", "1\nNA\nNA\n", "1\n", "NA\n", "NA\n", "NA\n", "NA\n", "1\n", "NA\n", "NA\n", "NA\n1\nNA\n", "1\nNA\nNA\n", "1\n", "NA\n", "3\n", "NA\n", "1\n", "1\n", "NA\n", "NA\n", "NA\n1\nNA\n", "1\nNA\nNA\n", "1\n", "NA\n", "3\n", "NA\n", "1\n", "1\n", "NA\n", "NA\n", "NA\n1\nNA\n", "1\nNA\nNA\n", "NA\n", "3\n", "NA\n", "1\n", "1\n", "NA\n", "NA\n", "1\nNA\nNA\n", "NA\n", "3\n", "NA\n", "1\n", "1\n", "NA\n", "NA\n", "1\n1\nNA\n", "1\nNA\nNA\n", "3\n", "3\n", "NA\n", "1\n", "1\n", "NA\n", "NA\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There is a game called Packet Monster. A game that catches, raises, fights and exchanges monsters, and is very popular all over Japan. Of course, in my class. That's why I also raise monsters so that I can play with everyone in this game, but sadly there is no opponent to play against. I'm not the type who is good at talking to people positively. So today, I'm lonely raising the level of the monster while waiting for my classmates to invite me. And finally, the long-awaited moment has arrived. One of my classmates asked me if I could play. She proudly showed her monsters. The general packet monster battle rule is that each player prepares N monsters and fights one against each other. Each monster has a number called "level" that indicates the degree of growth, and the monster with the higher level always wins. At the same level, it is a draw. Once a monster has fought, it cannot be made to fight any further. After N one-on-one battles, the winner is the player who wins the majority. The moment I saw her monster, I had a bad feeling. All her monsters look very strong. You can lose if you fight me. However, if I lose too badly, I think "it's not fun to fight this guy" and I think he won't play anymore. I hate it very much. So "Sorry, I don't have N monsters yet." I lied. Even if you don't win in the N rounds, you may win if you have a special rule to play with a smaller number of monsters. I said earlier that it's okay to lose, but I'm glad if I win. She accepted this special rule. In other words, the winner is the one who chooses k of each other's monsters and fights them one by one in turn, and wins the majority (that is, the number larger than k / 2). Earlier I knew the level of her monster. I don't know which monster she chooses and in what order. But if I decide how many monsters to play against, I may be able to win no matter what choice she makes. I would like to ask everyone. Enter the number of monsters N and the level of the monsters they have, and write a program that outputs the minimum number of monsters k that I can win no matter what choice she makes. input The input consists of multiple datasets. The end of the input is indicated by a single zero line. Each dataset is given in the following format: N a1 a2 ... aN b1 b2 ... bN The number of monsters N (1 ≤ N ≤ 40000) is given on the first line. On the second line, your monster's level ai (1 ≤ ai ≤ 100000) is given with one blank delimiter. On the third line, the level bi (1 ≤ bi ≤ 100000) of the classmate monster is given with one blank delimiter. The number of datasets does not exceed 50. output For each data set, if k (1 ≤ k <N) exists, the minimum value is output on one line. If k does not exist or k is equal to N, then NA is output. Example Input 10 4 9 1 9 5 9 2 3 2 1 8 7 6 5 10 5 5 4 7 6 5 4 3 2 5 1 4 4 4 4 4 4 4 1 3 2 4 3 2 1 0 Output 3 1 NA ### Input: 10 4 9 1 9 5 9 2 3 2 1 8 7 6 5 10 5 5 4 7 6 5 4 3 2 5 1 4 4 4 4 4 4 4 1 3 2 4 3 2 1 0 ### Output: 3 1 NA ### Input: 10 4 9 1 9 5 9 2 3 2 1 8 7 6 5 10 5 4 4 7 6 5 4 3 2 5 1 4 4 4 4 4 4 4 1 3 2 4 3 2 1 0 ### Output: 3 1 NA ### Code: from collections import deque while True: n = int(input()) if n == 0:break q1 = deque(sorted(map(int, input().split()))) q2 = deque(sorted(map(int, input().split()))) cnt = 0 for k in range(1, n): top1 = q1.pop() top2 = q2.pop() if top1 > top2: cnt += 1 q2.append(top2) q2.popleft() if cnt * 2 > k: print(k) break else: print("NA")
p00454 Paint Color_34776
problem Information I want to paint a rectangular veneer board to make a signboard for the promotion of the Olympic Games. Some rectangular masking tapes are pre-attached to the veneer board where I do not want to paint. We decided to paint each area with a different color. For example, in the case of Figure 5-1 we use 5 colors of paint. <image> Create a program to find the number of paint colors to use when given the position to apply masking tape as input. However, the entire veneer board is not covered with masking tape, and all sides of the masking tape are on any of the veneer boards. Parallel to that side. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the width w (integer with 1 ≤ w ≤ 1000000) and height h (integer with 1 ≤ h ≤ 1000000) are written in this order, separated by blanks. The number of masking tapes n (an integer such that 1 ≤ n ≤ 1000) is written on the second line. The second and subsequent lines 2 + i (1 ≤ i ≤ n) are the i-th. The lower left coordinates (x1, y1) and the upper right coordinates (x2, y2) of the masking tape to be applied are x1, y1, x2, y2 (0 ≤ x1 <x2 ≤ w, 0 ≤ y1 <y2 ≤ h) It is written in the order of, separated by blanks. However, the coordinates of the lower left corner of the plywood are (0, 0) and the coordinates of the upper right corner are (w, h). Of the scoring data, 30% of the points are w ≤ 100, h ≤ 100, n ≤ 100. <image> When both h and w are 0, it indicates the end of input. The number of data sets does not exceed 20. output Outputs the number of paint colors used for each dataset on one line. Examples Input 15 6 10 1 4 5 6 2 1 4 5 1 0 5 1 6 1 7 5 7 5 9 6 7 0 9 2 9 1 10 5 11 0 14 1 12 1 13 5 11 5 14 6 0 0 Output 5 Input None Output None
# -*- coding: utf-8 -*- from typing import Union, List import io, sys import bisect from collections import deque def main(): w,h = list(map(int, sys.stdin.readline().split())) if w == h == 0: return "END" n = int( sys.stdin.readline() ) x1y1x2y2_list = [ list(map(int, sys.stdin.readline().split())) for _ in range(n) ] X1,Y1,X2,Y2 = list(map(list, zip(*x1y1x2y2_list))) all_X = compress(X1,X2,w) all_Y = compress(Y1,Y2,h) matrix =[ [0]*len(all_X) for _ in range(len(all_Y)) ] for i in range(n): matrix[ Y1[i] ][ X1[i] ] += 1 matrix[ Y2[i] ][ X2[i] ] += 1 matrix[ Y2[i] ][ X1[i] ] -= 1 matrix[ Y1[i] ][ X2[i] ] -= 1 for row in range(len(matrix)): for col in range(1, len(matrix[0])): matrix[row][col] += matrix[row][col-1] for row in range(1, len(matrix)): for col in range(len(matrix[0])): matrix[row][col] += matrix[row-1][col] del matrix[-1] for row in range(len(matrix)): del matrix[row][-1] cnt = 0 for row in range(len(matrix)): for col in range(len(matrix[0])): if matrix[row][col] == 0: cnt += 1 bfs_paint(matrix, col, row, cnt) print(cnt) def compress(A1 :list, A2 :list, max_A): all_A = [] #delta = [-1, 0, 1] delta = [0] for a in (A1 + A2): for d in delta: val = a + d if 0 <= val <= max_A: all_A.append(a + d) all_A += [0, max_A] all_A = sorted(set(all_A)) for i in range(len(A1)): A1[i] = bisect.bisect_left(all_A, A1[i]) A2[i] = bisect.bisect_left(all_A, A2[i]) return all_A def bfs_paint(matrix :List[list], col :int, row :int, cnt :int): queue = deque([ (col, row) ]) matrix[row][col] = cnt delta = [(0,1),(0,-1),(1,0),(-1,0)] # (column, row) while queue: c,r = queue.popleft() for d in delta: next_c = c + d[0] next_r = r + d[1] if (0 <= next_c < len(matrix[0])) and (0 <= next_r < len(matrix)) and \ matrix[next_r][next_c] == 0: matrix[next_r][next_c] = cnt queue.append( (next_c, next_r) ) if __name__ == "__main__": while True: ret = main() if ret == "END": break
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"2\n", "2\n", "3\n", "2\n", "4\n", "3\n", "1\n", "2\n", "2\n", "2\n", "4\n", "3\n", "2\n", "1\n", "3\n", "1\n", "1\n", "3\n", "2\n", "2\n", "5\n", "3\n", "2\n", "5\n", "3\n", "2\n", "6\n", "3\n", "2\n", "4\n", "4\n", "3\n", "5\n", "3\n", "3\n", "2\n", "1\n", "2\n", "1\n", "5\n", "2\n", "2\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: problem Information I want to paint a rectangular veneer board to make a signboard for the promotion of the Olympic Games. Some rectangular masking tapes are pre-attached to the veneer board where I do not want to paint. We decided to paint each area with a different color. For example, in the case of Figure 5-1 we use 5 colors of paint. <image> Create a program to find the number of paint colors to use when given the position to apply masking tape as input. However, the entire veneer board is not covered with masking tape, and all sides of the masking tape are on any of the veneer boards. Parallel to that side. input The input consists of multiple datasets. Each dataset is given in the following format. On the first line, the width w (integer with 1 ≤ w ≤ 1000000) and height h (integer with 1 ≤ h ≤ 1000000) are written in this order, separated by blanks. The number of masking tapes n (an integer such that 1 ≤ n ≤ 1000) is written on the second line. The second and subsequent lines 2 + i (1 ≤ i ≤ n) are the i-th. The lower left coordinates (x1, y1) and the upper right coordinates (x2, y2) of the masking tape to be applied are x1, y1, x2, y2 (0 ≤ x1 <x2 ≤ w, 0 ≤ y1 <y2 ≤ h) It is written in the order of, separated by blanks. However, the coordinates of the lower left corner of the plywood are (0, 0) and the coordinates of the upper right corner are (w, h). Of the scoring data, 30% of the points are w ≤ 100, h ≤ 100, n ≤ 100. <image> When both h and w are 0, it indicates the end of input. The number of data sets does not exceed 20. output Outputs the number of paint colors used for each dataset on one line. Examples Input 15 6 10 1 4 5 6 2 1 4 5 1 0 5 1 6 1 7 5 7 5 9 6 7 0 9 2 9 1 10 5 11 0 14 1 12 1 13 5 11 5 14 6 0 0 Output 5 Input None Output None ### Input: 15 6 10 1 4 5 6 2 1 4 5 1 0 5 1 6 1 7 5 7 5 9 6 7 0 9 2 9 1 10 5 11 0 14 1 12 1 13 5 11 5 14 6 0 0 ### Output: 5 ### Input: 15 6 10 1 4 5 6 2 1 4 5 1 0 5 1 6 1 7 5 7 5 3 6 7 0 9 2 9 1 10 5 11 0 14 1 12 1 13 5 11 5 14 6 0 0 ### Output: 3 ### Code: # -*- coding: utf-8 -*- from typing import Union, List import io, sys import bisect from collections import deque def main(): w,h = list(map(int, sys.stdin.readline().split())) if w == h == 0: return "END" n = int( sys.stdin.readline() ) x1y1x2y2_list = [ list(map(int, sys.stdin.readline().split())) for _ in range(n) ] X1,Y1,X2,Y2 = list(map(list, zip(*x1y1x2y2_list))) all_X = compress(X1,X2,w) all_Y = compress(Y1,Y2,h) matrix =[ [0]*len(all_X) for _ in range(len(all_Y)) ] for i in range(n): matrix[ Y1[i] ][ X1[i] ] += 1 matrix[ Y2[i] ][ X2[i] ] += 1 matrix[ Y2[i] ][ X1[i] ] -= 1 matrix[ Y1[i] ][ X2[i] ] -= 1 for row in range(len(matrix)): for col in range(1, len(matrix[0])): matrix[row][col] += matrix[row][col-1] for row in range(1, len(matrix)): for col in range(len(matrix[0])): matrix[row][col] += matrix[row-1][col] del matrix[-1] for row in range(len(matrix)): del matrix[row][-1] cnt = 0 for row in range(len(matrix)): for col in range(len(matrix[0])): if matrix[row][col] == 0: cnt += 1 bfs_paint(matrix, col, row, cnt) print(cnt) def compress(A1 :list, A2 :list, max_A): all_A = [] #delta = [-1, 0, 1] delta = [0] for a in (A1 + A2): for d in delta: val = a + d if 0 <= val <= max_A: all_A.append(a + d) all_A += [0, max_A] all_A = sorted(set(all_A)) for i in range(len(A1)): A1[i] = bisect.bisect_left(all_A, A1[i]) A2[i] = bisect.bisect_left(all_A, A2[i]) return all_A def bfs_paint(matrix :List[list], col :int, row :int, cnt :int): queue = deque([ (col, row) ]) matrix[row][col] = cnt delta = [(0,1),(0,-1),(1,0),(-1,0)] # (column, row) while queue: c,r = queue.popleft() for d in delta: next_c = c + d[0] next_r = r + d[1] if (0 <= next_c < len(matrix[0])) and (0 <= next_r < len(matrix)) and \ matrix[next_r][next_c] == 0: matrix[next_r][next_c] = cnt queue.append( (next_c, next_r) ) if __name__ == "__main__": while True: ret = main() if ret == "END": break
p00789 Square Coins_34782
People in Silverland use square coins. Not only they have square shapes but also their values are square numbers. Coins with values of all square numbers up to 289 (= 172), i.e., 1-credit coins, 4-credit coins, 9-credit coins, ..., and 289-credit coins, are available in Silverland. There are four combinations of coins to pay ten credits: * ten 1-credit coins, * one 4-credit coin and six 1-credit coins, * two 4-credit coins and two 1-credit coins, and * one 9-credit coin and one 1-credit coin. Your mission is to count the number of ways to pay a given amount using coins of Silverland. Input The input consists of lines each containing an integer meaning an amount to be paid, followed by a line containing a zero. You may assume that all the amounts are positive and less than 300. Output For each of the given amount, one line containing a single integer representing the number of combinations of coins should be output. No other characters should appear in the output. Example Input 2 10 30 0 Output 1 4 27
# AOJ 1209: Square Coins #Python3 2018.7.19 bal4u dp = [1]*300 for i in range(2, 18): for j in range(i**2, 300): dp[j] += dp[j-i**2] while True: n = int(input()) if n == 0: break print(dp[n])
{ "input": [ "2\n10\n30\n0", "2\n10\n12\n0", "2\n11\n3\n0", "2\n16\n3\n0", "2\n14\n3\n0", "2\n10\n39\n0", "2\n11\n6\n0", "2\n17\n39\n0", "2\n4\n1\n0", "2\n2\n6\n0", "2\n17\n37\n0", "2\n0\n6\n0", "2\n32\n1\n0", "2\n32\n0\n0", "2\n45\n0\n0", "2\n85\n0\n0", "2\n67\n0\n0", "2\n21\n0\n0", "2\n21\n1\n0", "2\n29\n1\n0", "2\n20\n1\n0", "2\n23\n1\n0", "2\n12\n1\n0", "2\n19\n1\n0", "2\n10\n51\n0", "2\n10\n20\n0", "2\n11\n13\n0", "2\n20\n0\n0", "2\n13\n39\n0", "2\n11\n9\n0", "2\n14\n0\n0", "2\n17\n16\n0", "2\n16\n0\n0", "2\n27\n37\n0", "2\n61\n0\n0", "2\n76\n0\n0", "2\n158\n0\n0", "2\n7\n0\n0", "2\n25\n1\n0", "2\n2\n1\n0", "2\n24\n1\n0", "2\n19\n4\n0", "2\n19\n51\n0", "2\n22\n0\n0", "2\n25\n39\n0", "2\n34\n1\n0", "2\n26\n0\n0", "2\n17\n15\n0", "2\n11\n0\n0", "2\n27\n16\n0", "2\n1\n8\n0", "2\n76\n1\n0", "2\n4\n6\n0", "2\n19\n92\n0", "2\n67\n1\n0", "2\n10\n16\n0", "2\n26\n1\n0", "2\n30\n15\n0", "2\n27\n28\n0", "2\n39\n2\n0", "2\n19\n14\n0", "2\n27\n0\n0", "2\n72\n1\n0", "2\n13\n28\n0", "2\n39\n4\n0", "2\n19\n8\n0", "2\n72\n0\n0", "2\n9\n28\n0", "2\n90\n0\n-4", "2\n36\n4\n0", "2\n19\n16\n0", "2\n25\n0\n1", "2\n9\n42\n0", "2\n72\n4\n0", "2\n71\n0\n1", "2\n14\n42\n0", "2\n173\n0\n-6", "2\n14\n53\n0", "2\n48\n6\n0", "2\n5\n53\n0", "2\n17\n6\n0", "2\n10\n29\n0", "2\n11\n12\n0", "2\n14\n2\n0", "2\n10\n1\n0", "2\n14\n1\n0", "2\n16\n1\n0", "2\n0\n6\n-1", "2\n0\n6\n-2", "2\n0\n12\n-2", "2\n45\n0\n-1", "2\n0\n2\n-2", "2\n19\n2\n0", "2\n19\n3\n0", "2\n11\n5\n0", "2\n18\n1\n0", "2\n0\n8\n0", "2\n0\n1\n-2", "2\n0\n13\n-2", "2\n0\n3\n-2", "2\n13\n1\n0" ], "output": [ "1\n4\n27", "1\n4\n5\n", "1\n4\n1\n", "1\n8\n1\n", "1\n6\n1\n", "1\n4\n50\n", "1\n4\n2\n", "1\n9\n50\n", "1\n2\n1\n", "1\n1\n2\n", "1\n9\n46\n", "1\n", "1\n31\n1\n", "1\n31\n", "1\n78\n", "1\n601\n", "1\n256\n", "1\n13\n", "1\n13\n1\n", "1\n26\n1\n", "1\n12\n1\n", "1\n14\n1\n", "1\n5\n1\n", "1\n10\n1\n", "1\n4\n107\n", "1\n4\n12\n", "1\n4\n6\n", "1\n12\n", "1\n6\n50\n", "1\n4\n4\n", "1\n6\n", "1\n9\n8\n", "1\n8\n", "1\n21\n46\n", "1\n192\n", "1\n397\n", "1\n8355\n", "1\n2\n", "1\n19\n1\n", "1\n1\n1\n", "1\n16\n1\n", "1\n10\n2\n", "1\n10\n107\n", "1\n14\n", "1\n19\n50\n", "1\n37\n1\n", "1\n20\n", "1\n9\n6\n", "1\n4\n", "1\n21\n8\n", "1\n1\n3\n", "1\n397\n1\n", "1\n2\n2\n", "1\n10\n804\n", "1\n256\n1\n", "1\n4\n8\n", "1\n20\n1\n", "1\n27\n6\n", "1\n21\n23\n", "1\n50\n1\n", "1\n10\n6\n", "1\n21\n", "1\n329\n1\n", "1\n6\n23\n", "1\n50\n2\n", "1\n10\n3\n", "1\n329\n", "1\n4\n23\n", "1\n747\n", "1\n43\n2\n", "1\n10\n8\n", "1\n19\n", "1\n4\n63\n", "1\n329\n2\n", "1\n311\n", "1\n6\n63\n", "1\n13027\n", "1\n6\n124\n", "1\n90\n2\n", "1\n2\n124\n", "1\n9\n2\n", "1\n4\n26\n", "1\n4\n5\n", "1\n6\n1\n", "1\n4\n1\n", "1\n6\n1\n", "1\n8\n1\n", "1\n", "1\n", "1\n", "1\n78\n", "1\n", "1\n10\n1\n", "1\n10\n1\n", "1\n4\n2\n", "1\n10\n1\n", "1\n", "1\n", "1\n", "1\n", "1\n6\n1\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: People in Silverland use square coins. Not only they have square shapes but also their values are square numbers. Coins with values of all square numbers up to 289 (= 172), i.e., 1-credit coins, 4-credit coins, 9-credit coins, ..., and 289-credit coins, are available in Silverland. There are four combinations of coins to pay ten credits: * ten 1-credit coins, * one 4-credit coin and six 1-credit coins, * two 4-credit coins and two 1-credit coins, and * one 9-credit coin and one 1-credit coin. Your mission is to count the number of ways to pay a given amount using coins of Silverland. Input The input consists of lines each containing an integer meaning an amount to be paid, followed by a line containing a zero. You may assume that all the amounts are positive and less than 300. Output For each of the given amount, one line containing a single integer representing the number of combinations of coins should be output. No other characters should appear in the output. Example Input 2 10 30 0 Output 1 4 27 ### Input: 2 10 30 0 ### Output: 1 4 27 ### Input: 2 10 12 0 ### Output: 1 4 5 ### Code: # AOJ 1209: Square Coins #Python3 2018.7.19 bal4u dp = [1]*300 for i in range(2, 18): for j in range(i**2, 300): dp[j] += dp[j-i**2] while True: n = int(input()) if n == 0: break print(dp[n])
p00921 Don't Burst the Balloon_34785
An open-top box having a square bottom is placed on the floor. You see a number of needles vertically planted on its bottom. You want to place a largest possible spheric balloon touching the box bottom, interfering with none of the side walls nor the needles. Java Specific: Submitted Java programs may not use "java.awt.geom.Area". You may use it for your debugging purposes. Figure H.1 shows an example of a box with needles and the corresponding largest spheric balloon. It corresponds to the first dataset of the sample input below. <image> Figure H.1. The upper shows an example layout and the lower shows the largest spheric balloon that can be placed. Input The input is a sequence of datasets. Each dataset is formatted as follows. n w x1 y1 h1 : xn yn hn The first line of a dataset contains two positive integers, n and w, separated by a space. n represents the number of needles, and w represents the height of the side walls. The bottom of the box is a 100 × 100 square. The corners of the bottom face are placed at positions (0, 0, 0), (0, 100, 0), (100, 100, 0), and (100, 0, 0). Each of the n lines following the first line contains three integers, xi, yi, and hi. (xi, yi, 0) and hi represent the base position and the height of the i-th needle. No two needles stand at the same position. You can assume that 1 ≤ n ≤ 10, 10 ≤ w ≤ 200, 0 < xi < 100, 0 < yi < 100 and 1 ≤ hi ≤ 200. You can ignore the thicknesses of the needles and the walls. The end of the input is indicated by a line of two zeros. The number of datasets does not exceed 1000. Output For each dataset, output a single line containing the maximum radius of a balloon that can touch the bottom of the box without interfering with the side walls or the needles. The output should not contain an error greater than 0.0001. Example Input 5 16 70 66 40 38 52 20 40 35 10 70 30 10 20 60 10 1 100 54 75 200 1 10 90 10 1 1 11 54 75 200 3 10 53 60 1 61 38 1 45 48 1 4 10 20 20 10 20 80 10 80 20 10 80 80 10 0 0 Output 26.00000 39.00000 130.00000 49.49777 85.00000 95.00000
from math import sqrt def getcircle(nee, R): #針にぶつかる範囲の円 (x, y, h) = nee if R <= h: return (x, y, R) r = sqrt(R**2 - (R-h)**2) return (x, y, r) def crosscircle(c1, c2): #円の交点 (x1, y1, r1) = c1 (x2, y2, r2) = c2 if (x1-x2)**2 + (y1-y2)**2 > (r1+r2)**2: return () elif x1 == x2 and y1 == y2: return () elif (x1-x2)**2 + (y1-y2)**2 == (r1+r2)**2: x = (x1*r2+x2*r1)/(r1+r2) y = (y1*r2+y2*r1)/(r1+r2) return ((x, y),) elif y1 == y2: x = (r1**2-r2**2-x1**2+x2**2)/(2*(x2-x1)) if y1**2-(y1**2-r1**2+(x-x1)**2) >= 0: yans1 = y1+sqrt(y1**2-(y1**2-r1**2+(x-x1)**2)) yans2 = y1-sqrt(y1**2-(y1**2-r1**2+(x-x1)**2)) return ((x, yans1), (x, yans2)) else: return () elif x1 == x2: y = (r1**2-r2**2-y1**2+y2**2)/(2*(y2-y1)) if x1**2-(x1**2-r1**2+(y-y1)**2) >= 0: xans1 = x1+sqrt(x1**2-(x1**2-r1**2+(y-y1)**2)) xans2 = x1-sqrt(x1**2-(x1**2-r1**2+(y-y1)**2)) return ((xans1, y), (xans2, y)) else: return () else: A = ((x1-x2)/(y1-y2))**2 + 1 B = (x1-x2)*(r1**2-r2**2-x1**2+x2**2+(y1-y2)**2)/(y1-y2)**2 - 2*x1 C = ((r1**2-r2**2-x1**2+x2**2+(y1-y2)**2)/(2*(y1-y2)))**2 + x1**2 - r1**2 if B**2 - 4*A*C >= 0: xans1 = (-B+sqrt(B**2-4*A*C))/(2*A) xans2 = (-B-sqrt(B**2-4*A*C))/(2*A) yans1 = -((r1**2-r2**2-x1**2+x2**2-y1**2+y2**2))/(2*(y1-y2))-xans1*(x1-x2)/(y1-y2) yans2 = -((r1**2-r2**2-x1**2+x2**2-y1**2+y2**2))/(2*(y1-y2))-xans2*(x1-x2)/(y1-y2) return ((xans1, yans1), (xans2, yans2)) else: return () while True: n, w = map(int, input().split()) if n == w == 0: break nees = [tuple(map(float, input().split())) for i in range(n)] eps = 0.000001 U = 130 L = 0 while U - L > 0.0001: ok = False R = (U+L)/2 cirs = [] points = [] if R > w: l = sqrt(R**2 - (R-w)**2) #球が壁にぶつからない範囲の正方形(l<=x<=100-l, l<=y<=100-l) else: l = R if l >= 100-l: U = R continue for nee in nees: c = getcircle(nee, R) cirs.append(c) for c in cirs: #正方形と円の交点をリストに入れる (x, y, r) = c if abs(l-x) <= r: if l <= y+sqrt(r**2-(x-l)**2) <= 100-l: points.append((l,y+sqrt(r**2-(x-l)**2))) if l <= y-sqrt(r**2-(x-l)**2) <= 100-l: points.append((l,y-sqrt(r**2-(x-l)**2))) if abs(l-y) <= r: if l <= x+sqrt(r**2-(y-l)**2) <= 100-l: points.append((x+sqrt(r**2-(y-l)**2),y)) if l <= x-sqrt(r**2-(y-l)**2) <= 100-l: points.append((x-sqrt(r**2-(y-l)**2),y)) if abs(100-l-x) <= r: if l <= y+sqrt(r**2-(x+l-100)**2) <= 100-l: points.append((100-l,y+sqrt(r**2-(x+l-100)**2))) if l <= y-sqrt(r**2-(x+l-100)**2) <= 100-l: points.append((100-l,y-sqrt(r**2-(x+l-100)**2))) if abs(100-l-y) <= r: if l <= x+sqrt(r**2-(100-l-y)**2) <= 100-l: points.append((x+sqrt(r**2-(100-l-y)**2),y)) if l <= x-sqrt(r**2-(100-l-y)**2) <= 100-l: points.append((x-sqrt(r**2-(100-l-y)**2),y)) for i in range(n): #円と円の交点をリストに入れる if n != 1 and i != n-1: for j in range(i+1, n): p = crosscircle(cirs[i], cirs[j]) if p == (): continue for a in p: if l <= a[0] <= 100-l and l <= a[1] <= 100-l: points.append(a) points.append((l,l)) #正方形の四隅をリストに入れる points.append((100-l,l)) points.append((l,100-l)) points.append((100-l,100-l)) for p in points: #リスト内の点が円の内部にないか判定する if not l <= p[0] <=100-l: continue if not l <= p[1] <=100-l: continue pok = True for c in cirs: if (p[0]-c[0])**2 + (p[1]-c[1])**2 <= (c[2]-eps)**2: pok = False break if pok: ok = True break if ok: L = R else: U = R print(R)
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6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: An open-top box having a square bottom is placed on the floor. You see a number of needles vertically planted on its bottom. You want to place a largest possible spheric balloon touching the box bottom, interfering with none of the side walls nor the needles. Java Specific: Submitted Java programs may not use "java.awt.geom.Area". You may use it for your debugging purposes. Figure H.1 shows an example of a box with needles and the corresponding largest spheric balloon. It corresponds to the first dataset of the sample input below. <image> Figure H.1. The upper shows an example layout and the lower shows the largest spheric balloon that can be placed. Input The input is a sequence of datasets. Each dataset is formatted as follows. n w x1 y1 h1 : xn yn hn The first line of a dataset contains two positive integers, n and w, separated by a space. n represents the number of needles, and w represents the height of the side walls. The bottom of the box is a 100 × 100 square. The corners of the bottom face are placed at positions (0, 0, 0), (0, 100, 0), (100, 100, 0), and (100, 0, 0). Each of the n lines following the first line contains three integers, xi, yi, and hi. (xi, yi, 0) and hi represent the base position and the height of the i-th needle. No two needles stand at the same position. You can assume that 1 ≤ n ≤ 10, 10 ≤ w ≤ 200, 0 < xi < 100, 0 < yi < 100 and 1 ≤ hi ≤ 200. You can ignore the thicknesses of the needles and the walls. The end of the input is indicated by a line of two zeros. The number of datasets does not exceed 1000. Output For each dataset, output a single line containing the maximum radius of a balloon that can touch the bottom of the box without interfering with the side walls or the needles. The output should not contain an error greater than 0.0001. Example Input 5 16 70 66 40 38 52 20 40 35 10 70 30 10 20 60 10 1 100 54 75 200 1 10 90 10 1 1 11 54 75 200 3 10 53 60 1 61 38 1 45 48 1 4 10 20 20 10 20 80 10 80 20 10 80 80 10 0 0 Output 26.00000 39.00000 130.00000 49.49777 85.00000 95.00000 ### Input: 5 16 70 66 40 38 52 20 40 35 10 70 30 10 20 60 10 1 100 54 75 200 1 10 90 10 1 1 11 54 75 200 3 10 53 60 1 61 38 1 45 48 1 4 10 20 20 10 20 80 10 80 20 10 80 80 10 0 0 ### Output: 26.00000 39.00000 130.00000 49.49777 85.00000 95.00000 ### Input: 5 16 70 66 40 38 52 20 40 35 10 70 30 10 20 60 10 1 100 54 75 200 1 10 90 14 1 1 11 54 75 200 3 10 53 60 1 61 38 1 45 48 1 4 10 20 20 10 20 80 10 80 20 10 80 80 10 0 0 ### Output: 26.000000 39.000000 130.000000 49.497769 85.000000 95.000000 ### Code: from math import sqrt def getcircle(nee, R): #針にぶつかる範囲の円 (x, y, h) = nee if R <= h: return (x, y, R) r = sqrt(R**2 - (R-h)**2) return (x, y, r) def crosscircle(c1, c2): #円の交点 (x1, y1, r1) = c1 (x2, y2, r2) = c2 if (x1-x2)**2 + (y1-y2)**2 > (r1+r2)**2: return () elif x1 == x2 and y1 == y2: return () elif (x1-x2)**2 + (y1-y2)**2 == (r1+r2)**2: x = (x1*r2+x2*r1)/(r1+r2) y = (y1*r2+y2*r1)/(r1+r2) return ((x, y),) elif y1 == y2: x = (r1**2-r2**2-x1**2+x2**2)/(2*(x2-x1)) if y1**2-(y1**2-r1**2+(x-x1)**2) >= 0: yans1 = y1+sqrt(y1**2-(y1**2-r1**2+(x-x1)**2)) yans2 = y1-sqrt(y1**2-(y1**2-r1**2+(x-x1)**2)) return ((x, yans1), (x, yans2)) else: return () elif x1 == x2: y = (r1**2-r2**2-y1**2+y2**2)/(2*(y2-y1)) if x1**2-(x1**2-r1**2+(y-y1)**2) >= 0: xans1 = x1+sqrt(x1**2-(x1**2-r1**2+(y-y1)**2)) xans2 = x1-sqrt(x1**2-(x1**2-r1**2+(y-y1)**2)) return ((xans1, y), (xans2, y)) else: return () else: A = ((x1-x2)/(y1-y2))**2 + 1 B = (x1-x2)*(r1**2-r2**2-x1**2+x2**2+(y1-y2)**2)/(y1-y2)**2 - 2*x1 C = ((r1**2-r2**2-x1**2+x2**2+(y1-y2)**2)/(2*(y1-y2)))**2 + x1**2 - r1**2 if B**2 - 4*A*C >= 0: xans1 = (-B+sqrt(B**2-4*A*C))/(2*A) xans2 = (-B-sqrt(B**2-4*A*C))/(2*A) yans1 = -((r1**2-r2**2-x1**2+x2**2-y1**2+y2**2))/(2*(y1-y2))-xans1*(x1-x2)/(y1-y2) yans2 = -((r1**2-r2**2-x1**2+x2**2-y1**2+y2**2))/(2*(y1-y2))-xans2*(x1-x2)/(y1-y2) return ((xans1, yans1), (xans2, yans2)) else: return () while True: n, w = map(int, input().split()) if n == w == 0: break nees = [tuple(map(float, input().split())) for i in range(n)] eps = 0.000001 U = 130 L = 0 while U - L > 0.0001: ok = False R = (U+L)/2 cirs = [] points = [] if R > w: l = sqrt(R**2 - (R-w)**2) #球が壁にぶつからない範囲の正方形(l<=x<=100-l, l<=y<=100-l) else: l = R if l >= 100-l: U = R continue for nee in nees: c = getcircle(nee, R) cirs.append(c) for c in cirs: #正方形と円の交点をリストに入れる (x, y, r) = c if abs(l-x) <= r: if l <= y+sqrt(r**2-(x-l)**2) <= 100-l: points.append((l,y+sqrt(r**2-(x-l)**2))) if l <= y-sqrt(r**2-(x-l)**2) <= 100-l: points.append((l,y-sqrt(r**2-(x-l)**2))) if abs(l-y) <= r: if l <= x+sqrt(r**2-(y-l)**2) <= 100-l: points.append((x+sqrt(r**2-(y-l)**2),y)) if l <= x-sqrt(r**2-(y-l)**2) <= 100-l: points.append((x-sqrt(r**2-(y-l)**2),y)) if abs(100-l-x) <= r: if l <= y+sqrt(r**2-(x+l-100)**2) <= 100-l: points.append((100-l,y+sqrt(r**2-(x+l-100)**2))) if l <= y-sqrt(r**2-(x+l-100)**2) <= 100-l: points.append((100-l,y-sqrt(r**2-(x+l-100)**2))) if abs(100-l-y) <= r: if l <= x+sqrt(r**2-(100-l-y)**2) <= 100-l: points.append((x+sqrt(r**2-(100-l-y)**2),y)) if l <= x-sqrt(r**2-(100-l-y)**2) <= 100-l: points.append((x-sqrt(r**2-(100-l-y)**2),y)) for i in range(n): #円と円の交点をリストに入れる if n != 1 and i != n-1: for j in range(i+1, n): p = crosscircle(cirs[i], cirs[j]) if p == (): continue for a in p: if l <= a[0] <= 100-l and l <= a[1] <= 100-l: points.append(a) points.append((l,l)) #正方形の四隅をリストに入れる points.append((100-l,l)) points.append((l,100-l)) points.append((100-l,100-l)) for p in points: #リスト内の点が円の内部にないか判定する if not l <= p[0] <=100-l: continue if not l <= p[1] <=100-l: continue pok = True for c in cirs: if (p[0]-c[0])**2 + (p[1]-c[1])**2 <= (c[2]-eps)**2: pok = False break if pok: ok = True break if ok: L = R else: U = R print(R)
p01054 String Conversion_34787
Problem Jennifer and Marian presented Carla with the string S. However, Carla is not happy to receive the string S. I wanted the string T. The three decided to work together to change the string S to the string T. Jennifer first sorts the letters in any order. Marian then exchanges the lowercase letters of the two alphabets any number of times. This operation exchanges all the same characters in the string, for example: * aab-> Swap a and b-> bba * aab-> Swap a and c-> ccb Finally, Carla replaces one character with another and repeats until T. Jennifer and Marian decided to try to reduce the number of Carla replacements. Find the minimum number of replacements that Carla makes. Constraints * 1 ≤ n ≤ 105 * S and T contain only'a'~'z' * | S | = | T | = n Input n S T The length n of the string is given on the first line. The character string S is given on the second line, and the character string T is given on the third line. Output Print the minimum number of Carla replacements on one line. Examples Input 3 abc xyz Output 0 Input 5 aaabb xyxyz Output 1
# AOJ 1568: String Conversion # Python3 2018.7.13 bal4u cha, chzn = ord('a'), ord('z')+1 S, T = [0]*128, [0]*128 input() a = input() for x in a: S[ord(x)] += 1 S = sorted(S[cha:chzn], reverse=True) a = input() for x in a: T[ord(x)] += 1 T = sorted(T[cha:chzn], reverse=True) ans = 0 for i in range(26): ans += abs(S[i]-T[i]) print(ans >> 1)
{ "input": [ "3\nabc\nxyz", "5\naaabb\nxyxyz", "3\ncba\nxyz", "5\naaabb\nxywyz", "3\ncbb\nxyz", "5\naaacb\nxywyz", "3\ncbb\nzyx", "5\nbcaaa\nxywyz", "3\ndbb\nzyx", "5\nbcaaa\nxywyy", "3\ndbb\nxyz", "5\nbcaba\nxywyy", "3\ndbb\nzyy", "5\ncbaba\nxywyy", "5\ncbbba\nxywyy", "5\ncbbba\nyywyx", "5\ncbbba\nyyxyx", "5\ncbaba\nyyxyx", "5\ncbaba\nxyxyx", "5\ndbaba\nxyxyx", "5\nababd\nxyxyx", "5\nababd\nxyxyw", "5\naaabd\nxyxyw", "5\ndbaaa\nxyxyw", "5\ndbaab\nxyxyw", "5\ndbaab\nxyxxw", "5\nbaabd\nxyxxw", "5\nbaabd\nyyxxw", "5\nbaabe\nyyxxw", "5\nebaab\nyyxxw", "5\nebaab\nyyxxv", "3\nabc\nxyy", "3\ncba\nxxz", "5\naaabb\nyxwyz", "3\ncab\nxyz", "5\naaacb\nxzwyz", "3\nbbc\nxyz", "5\nccaaa\nxywyz", "3\ndba\nzyx", "5\nbcaaa\nxywxy", "3\ndbc\nzyx", "5\nbbaca\nxywyy", "3\nebb\nzyy", "5\ncbaba\nxywyx", "5\nbbbba\nxywyy", "5\nabbbc\nyywyx", "5\ncbbba\nxyyyx", "5\ncbaba\nxyxyy", "5\ncbaba\nxxxyy", "5\ndcaba\nxyxyx", "5\nababc\nxyxyx", "5\nababd\nwyxyx", "5\nababd\nwyxyw", "5\ndbaaa\nxyyxw", "5\ndbaab\nxyyyw", "5\ndbaab\nxywxw", "5\ncaabd\nxyxxw", "5\nbaabd\nzyxxw", "5\nbaabe\nyyxww", "5\nfbaab\nyyxxw", "5\nebaaa\nyyxxv", "3\nacc\nxyy", "3\nabc\nxxz", "5\nbaaba\nyxwyz", "3\ncab\nxzz", "5\naaadb\nxywyz", "3\nbbc\nzyx", "3\ndaa\nzyx", "5\nbcaaa\nwywxy", "3\ndbc\nzzx", "5\nacabb\nxywyy", "3\neab\nzyy", "5\ncbaba\nxywzx", "5\nbbaba\nxywyy", "5\nabbbc\nwyyyx", "5\nabbbc\nxyyyx", "5\ncbaba\nxyyxy", "5\ncbbaa\nxxxyy", "5\ndcaba\nxyxxx", "5\nacabc\nxyxyx", "5\nababd\nwyxzx", "5\nababd\nwxyyw", "5\nabadb\nxyyyw", "5\ndbaab\nyywxw", "5\ncaabd\nxyxwx", "5\ndbaab\nzyxxw", "5\nbaabe\nyxxww", "5\nfbaab\nyyxww", "5\nebaaa\nyvxxy", "3\nacc\nwyy", "3\nbbc\nxxz", "3\ndab\nxzz", "5\nbaadb\nxywyz", "3\nabc\nzyx", "3\ndaa\nzzx", "5\nbcaaa\nyxwyw", "3\ndbc\nzxz", "5\nbbaca\nyywyx", "3\neab\nyyz", "5\nccaba\nxywzx", "5\nbbaba\nwyxyy", "5\nabbbc\nwyyzx" ], "output": [ "0", "1", "0\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "1\n", "0\n", "0\n", "1\n", "1\n", "1\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "0\n", "0\n", "1\n", "1\n", "2\n", "0\n", "1\n", "1\n", "2\n", "0\n", "1\n", "0\n", "1\n", "0\n", "0\n", "1\n", "0\n", "1\n", "1\n", "1\n", "2\n", "1\n", "0\n", "0\n", "1\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "0\n", "1\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "0\n", "1\n", "1\n", "1\n", "2\n", "1\n", "1\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "0\n", "0\n", "1\n", "1\n", "0\n", "0\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Problem Jennifer and Marian presented Carla with the string S. However, Carla is not happy to receive the string S. I wanted the string T. The three decided to work together to change the string S to the string T. Jennifer first sorts the letters in any order. Marian then exchanges the lowercase letters of the two alphabets any number of times. This operation exchanges all the same characters in the string, for example: * aab-> Swap a and b-> bba * aab-> Swap a and c-> ccb Finally, Carla replaces one character with another and repeats until T. Jennifer and Marian decided to try to reduce the number of Carla replacements. Find the minimum number of replacements that Carla makes. Constraints * 1 ≤ n ≤ 105 * S and T contain only'a'~'z' * | S | = | T | = n Input n S T The length n of the string is given on the first line. The character string S is given on the second line, and the character string T is given on the third line. Output Print the minimum number of Carla replacements on one line. Examples Input 3 abc xyz Output 0 Input 5 aaabb xyxyz Output 1 ### Input: 3 abc xyz ### Output: 0 ### Input: 5 aaabb xyxyz ### Output: 1 ### Code: # AOJ 1568: String Conversion # Python3 2018.7.13 bal4u cha, chzn = ord('a'), ord('z')+1 S, T = [0]*128, [0]*128 input() a = input() for x in a: S[ord(x)] += 1 S = sorted(S[cha:chzn], reverse=True) a = input() for x in a: T[ord(x)] += 1 T = sorted(T[cha:chzn], reverse=True) ans = 0 for i in range(26): ans += abs(S[i]-T[i]) print(ans >> 1)
p01323 Compile_34791
Masa Kita, who entered the University of Tokyo, joined a circle called TSG (University of Tokyo Super Gamers). This circle exhibits games at the Komaba Festival every year, and Masa Kita decided to create and display the games as well. The game created by Kitamasa is a common falling block puzzle game such as the following. * There is a grid-like field of 6 squares x 12 squares, and one block can be placed for each square. * Two blocks fall from the top in pairs. There are a total of 6 types of blocks, including basic blocks in 5 colors of red, green, blue, yellow, and purple, and obstructive blocks. The player can change the drop position by rotating and laterally moving the block. * When a falling block collides with the floor of the field or another block, the block is fixed at that position. * If there are blocks of the same color as the fixed block in four directions around them, they will stick to each other. However, the disturbing blocks do not stick to each other. * If 4 or more blocks stick together, it will disappear and you will get a score. When the basic blocks that exist in the four directions around the disturbing block disappear, the disturbing block also disappears. The disappearance of blocks occurs at the same time when all the blocks have finished falling. * When a block disappears, the block above it will fall. The player cannot control the fall of this block. At this time, if four or more blocks stick together again, they disappear and a chain occurs. However, even if multiple colors are erased at the same time, it will be treated as one chain. Kitamasa finished writing most of the programs for this game, but couldn't write what to do when the blocks stuck together and disappeared. So I decided to ask a friend of the circle to write the program for that part. Notes on Test Cases Multiple datasets are given in the above input format. The first line of input is given the number T of the dataset. Create a program that outputs each data set in the above output format. <!- Input The input consists of 12 lines. The i-th line of the input consists of a character string of length 6, and the j-th character represents the state of the cells in the i-th line from the top of the field and the j-th column from the left. The character that represents the state of the square is one of the following seven. Character | Type --- | --- R | red G | green B | blue Y | yellow P | Purple O | disturb . | Empty space Also, all blocks included in the input are on the floor or on other blocks. Output From the input state, calculate the number of chains when the blocks are erased according to the rules, and output in one line. If none of the blocks disappear, output 0. Examples Input 3 ...... ...... ...... ...... ...... ...... ...... ...... .RGB.. RGOP.. RGBPB. RGBPP. GBRGYP GBRRYP BGGRBB BPRGYY GGPRRY BYPPRB YGGGPB GYYYPR YRBRBR YBRBRB BRBRBR BRBRBR ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ..OO.. ..OO.. Output 3 18 0 Input ...... ...... ...... ...... ...... ...... ...... ...... .RGB.. RGOP.. RGBPB. RGBPP. Output 3 Input GBRGYP GBRRYP BGGRBB BPRGYY GGPRRY BYPPRB YGGGPB GYYYPR YRBRBR YBRBRB BRBRBR BRBRBR Output 18 Input ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ..OO.. ..OO.. Output 0
def kesu(x, s, c, h): global n if (x[0] - 1, x[1]) not in s and a[x[0] - 1][x[1]] == c: s.add((x[0] - 1, x[1])) kesu((x[0] - 1, x[1]), s, c, h + 1) if (x[0] + 1, x[1]) not in s and a[x[0] + 1][x[1]] == c: s.add((x[0] + 1, x[1])) kesu((x[0] + 1, x[1]), s, c, h + 1) if (x[0], x[1] - 1) not in s and a[x[0]][x[1] - 1] == c: s.add((x[0], x[1] - 1)) kesu((x[0], x[1] - 1), s, c, h + 1) if (x[0], x[1] + 1) not in s and a[x[0]][x[1] + 1] == c: s.add((x[0], x[1] + 1)) kesu((x[0], x[1] + 1), s, c, h + 1) if h == 0 and len(s) > 3: for i in s:a[i[0]][i[1]] = "." n |= s def otosu(): for i in range(1,12)[::-1]: for j in range(1, 7): n = 0 while i + n < 12: if a[i + n][j] != "." and a[i + n + 1][j] == ".": a[i + n][j], a[i + n + 1][j] = a[i + n + 1][j], a[i + n][j] n += 1 else:break for _ in range(int(input())): a = [["." for _ in range(8)]] + [["."] + list(input()) + ["."] for _ in range(12)] + [["." for _ in range(8)]] rensa = 0 while 1: n = set() for i in range(1, 13): for j in range(1, 7): if a[i][j] in ("RGBYP"): kesu((i, j), set(), a[i][j], 0) if n == set():break else: rensa += 1 for i in range(1, 13): for j in range(1, 7): if a[i][j] == "O": if (i - 1, j) in n or (i + 1, j) in n or (i, j - 1) in n or (i, j + 1) in n:a[i][j] = "." otosu() print(rensa)
{ "input": [ "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRQYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n./....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nCPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nYRRPGG\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n./....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nR.BPBG\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./...-\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBGRYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n.../..\n......\n......\n......\n......\n......\n......\n.....-\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBYRGYP\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\n.PPBGR\nGBRFYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\nO.P...", "3\n../...\n......\n......\n......\n......\n......\n...../\n......\n.RGB..\nRGOP..\nRHBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBBRGGB\nBGRPYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nRYBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n../...\n......\n......\n......\n......\n.RGB..\n..POGR\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n......\n......\n......\n......\n.....-\n..-...\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nR.BPBG\nRGBPP.\nGBRGYP\nGBRRYP\nBBRGGB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./...-\n...-..\n......\n/.....\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n../...\n......\n../...\n......\n......\n......\n...../\n......\n.RGB..\nRGNP..\nRHBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nCBRGGB\nBGRPYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nRYBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n.../..\n..../.\n......\n.QGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nHBRRYP\nBGGBRB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n..-...\n..OO..\nO.O...", "3\n......\n......\n.-....\n../...\n......\n-.../.\n......\n......\n.RGB..\n..POGR\nRGBPB.\nRGBPP.\nGBRGYP\nFBRRYP\nBGGRBB\nBPFYYR\nGGPRRY\nBPPYRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n../...\n......\n......\n......\n-.....\n....-/\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.SGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n./....\n......\n......\n......\n..OO..\n..OO..", "3\n.../..\n......\n......\n......\n......\n......\n......\n.....-\n.RGB..\nRGOP..\nRGBPB.\nRGBP.P\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n..../.\n......\n......\n......\n......\n......\n......\n......\n..GBR.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..PO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n..BGR.\nRGOP..\nRGBPB.\nRGBPP.\nPYGRBG\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n..../.\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n..BGR.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n......\n..OO..\n..N..O", "3\n......\n......\n./....\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBQP.\nGBRGYP\nGBRRYP\nBGGRBB\nRYGYPB\nYRRPGG\nBYPPRB\nYGGGPB\nGRYYPY\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO..", "3\n../...\n......\n......\n......\n......\n.../..\n..../.\n....-.\n.QGB..\nRGOP..\nRGBPB.\nRGBPQ.\nGBRGYP\nHBRRYP\nBGGBRB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n./....\n......\n..-...\n..OO..\nO.O...", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n..BGR.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRQYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRCRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n./....\n......\n......\n......\n..OO..\n./OO..", "3\n....-.\n.../..\n.-....\n-./...\n......\n./...-\n..--..\n.-.../\nR-B.G.\n..POGQ\nRGBPB.\nRGBPQ.\nPYGRBG\nFRBRYP\nBGGRBB\nCPFXYR\nGPRYGR\nBPPYRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nRBRBRB\nARBRBR\n......\n..../.\n..-...\n......\n../.-.\n../...\n...-..\n......\n-....-\n....-/\n..OO..\n..OO..", "3\n.-....\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nRBRBRY\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n./....\n......\n......\n-.....\n......\n..OO..\n..OO..", "3\n..../.\n......\n......\n......\n......\n......\n......\n......\n.BG.R.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..PO..", "3\n.../..\n......\n......\n......\n......\n......\n.../..\n.....-\n.RG..B\nRGOP..\nRGBPB.\nQGBPP.\nGBRGYP\nGBRRYP\nBGGRBA\nBYRGYP\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n..BGR.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nPYQRBG\nBGGRBB\nYYGRQB\nGGPRRY\nBYPPRB\nYGGGPC\nRPYYYG\nYRRRBB\nYBRBRB\nBRBRBR\nBRBRBR\n..-...\n......\n......\n......\n......\n......\n./....\n......\n......\n......\n..OO..\n..OO..", "3\n..../.\n......\n......\n......\n......\n......\n......\n......\n.BG.R.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nRBRBRB\nRBRBRB\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..PO..", "3\n../...\n....-.\n......\n......\n......\n......\n./....\n......\n..BGR.\nRGOP.-\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nYRRPGG\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n.../..\n......\n......\n......\n......\n......\n......\n......\n..BGR.\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRQYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRCRB\nBRBRBR\nRRBBBR\n......\n......\n......\n......\n......\n.-....\n./....\n......\n......\n......\n..OO..\n./OO..", "3\n......\n......\n./....\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBQP.\nGBRGYP\nGBRRYP\nCGGRBB\nRYGYPB\nYRRPGG\nBXPPRB\nYGGGPB\nYPYYRG\nYRBRBR\nYBRBRB\nBRBRBS\nBRBRBR\n......\n./....\n......\n/.-...\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nRYBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n./....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n./....\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n../...\n......\n......\n......\n......\n......\n......\n.....-\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGRYYPY\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..PO..", "3\n......\n......\n......\n......\n...../\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n..../.\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n...../\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nRYBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n../...\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./...-\n......\n......\n......\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n../...\n......\n......\n......\n......\n.../..\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n......\n..OO..\n..NO..", "3\n.../..\n......\n......\n......\n......\n......\n......\n.....-\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n......\n..OO..\n..OO..", "3\n....-.\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nYRRPGG\nBYPPRB\nYGGGPB\nGRYYPY\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\nO.P...", "3\n......\n......\n......\n......\n...../\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nYRRPGG\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n......\n......\n..OO..\n..OO..", "3\n../...\n......\n......\n......\n......\n......\n......\n.../..\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n......\n......\n..../.\n......\n..OO..\n..OO..", 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"3\n../...\n......\n......\n......\n......\n.../..\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nHBRRYP\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n..-...\n..OO..\n..OO..", "3\n......\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBGRYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n-....-\n......\n..OO..\n..NO..", "3\n....-.\n......\n......\n......\n......\n......\n......\n......\n.RGB..\nRGOP./\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n.../..\n..OO..\n..NO/.", 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"3\n../...\n......\n......\n......\n......\n.../..\n..../.\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nHBRRYP\nBGGBRB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPB\nRPYYYG\nYRBRBR\nYBRBRB\nRBRBRB\nBRBRBR\n......\n......\n......\n......\n....-.\n......\n-/....\n......\n......\n..-...\n..OO..\nO.O...", "3\n....-.\n......\n......\n.....-\n......\n......\n......\n......\n.RGB..\nRGOP./\nRGBPB.\nRGBPQ.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n/.....\n......\n......\n......\n......\n.....-\n../...\n..OO..\n..NO/.", "3\n../...\n......\n......\n......\n...-..\n......\n......\n......\n.RGB..\nRGOP..\nRGBPB.\nRGBPP.\nGBRGYP\nPYQRBG\nBGGRBB\nBPRGYY\nGGPRRY\nBYPPRB\nYGGGPC\nRPYYYG\nYRRRBB\nYBRBRB\nBRBRBR\nBRBRBR\n......\n......\n......\n......\n......\n......\n./.-..\n......\n......\n......\n..OO..\n..OO..", "3\n......\n......\n......\n../...\n......\n./....\n......\n......\n.RGB..\n..POGR\nRGBPB.\nRGBPP.\nGBRGYP\nGBRRYP\nBGGRBB\nBPYGYR\nGGPRRY\nBYPPRB\nBPGGGY\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./....\n......\n......\n.../..\n......\n......\n......\n-.....\n..-...\n..OO..\n..OO..", "3\n......\n......\n......\n../...\n......\n......\n......\n......\n.RGB..\nRGOP..\nR.BPBG\nRGBPP.\nGBRGYP\nGBRRYP\nBBRGGB\nBPYGYR\nGGPRRY\nBYPPRB\nYGGGPB\nGYYYPR\nYRBRBR\nYBRBRB\nBRBRBR\nBRBRBR\n......\n./...-\n...-..\n......\n/.....\n......\n......\n......\n.....-\n......\n..OO.-\n..NO.." ], "output": [ "3\n18\n0", "3\n8\n0\n", "3\n18\n0\n", "3\n5\n0\n", "3\n0\n0\n", "3\n2\n0\n", "3\n3\n0\n", "2\n5\n0\n", "3\n1\n0\n", "3\n4\n0\n", "0\n1\n0\n", "2\n2\n0\n", "0\n5\n0\n", "2\n3\n0\n", "2\n1\n0\n", "2\n0\n0\n", "0\n3\n0\n", "2\n8\n0\n", "0\n8\n0\n", "2\n18\n0\n", "1\n1\n0\n", "1\n5\n0\n", "0\n2\n0\n", "0\n0\n0\n", "1\n0\n0\n", "0\n4\n0\n", "3\n11\n0\n", "2\n12\n0\n", "2\n4\n0\n", "1\n2\n0\n", "2\n17\n0\n", "1\n3\n0\n", "1\n4\n0\n", "0\n6\n0\n", "3\n8\n0\n", "3\n8\n0\n", "3\n8\n0\n", "3\n18\n0\n", "3\n8\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n5\n0\n", "3\n18\n0\n", "3\n8\n0\n", "3\n8\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n5\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n3\n0\n", "3\n18\n0\n", "3\n3\n0\n", "3\n8\n0\n", "3\n3\n0\n", "3\n0\n0\n", "3\n2\n0\n", "3\n3\n0\n", "3\n5\n0\n", "3\n8\n0\n", "3\n5\n0\n", "3\n3\n0\n", "3\n1\n0\n", "3\n3\n0\n", "3\n2\n0\n", "3\n4\n0\n", "3\n3\n0\n", "3\n5\n0\n", "2\n5\n0\n", "3\n3\n0\n", "3\n1\n0\n", "3\n5\n0\n", "3\n3\n0\n", "3\n3\n0\n", "2\n5\n0\n", "3\n3\n0\n", "3\n1\n0\n", "0\n5\n0\n", "0\n1\n0\n", "3\n3\n0\n", "2\n2\n0\n", "3\n3\n0\n", "0\n5\n0\n", "3\n0\n0\n", "0\n5\n0\n", "3\n3\n0\n", "2\n2\n0\n", "3\n3\n0\n", "0\n5\n0\n", "2\n3\n0\n", "3\n0\n0\n", "0\n5\n0\n", "3\n3\n0\n", "0\n5\n0\n", "2\n3\n0\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Masa Kita, who entered the University of Tokyo, joined a circle called TSG (University of Tokyo Super Gamers). This circle exhibits games at the Komaba Festival every year, and Masa Kita decided to create and display the games as well. The game created by Kitamasa is a common falling block puzzle game such as the following. * There is a grid-like field of 6 squares x 12 squares, and one block can be placed for each square. * Two blocks fall from the top in pairs. There are a total of 6 types of blocks, including basic blocks in 5 colors of red, green, blue, yellow, and purple, and obstructive blocks. The player can change the drop position by rotating and laterally moving the block. * When a falling block collides with the floor of the field or another block, the block is fixed at that position. * If there are blocks of the same color as the fixed block in four directions around them, they will stick to each other. However, the disturbing blocks do not stick to each other. * If 4 or more blocks stick together, it will disappear and you will get a score. When the basic blocks that exist in the four directions around the disturbing block disappear, the disturbing block also disappears. The disappearance of blocks occurs at the same time when all the blocks have finished falling. * When a block disappears, the block above it will fall. The player cannot control the fall of this block. At this time, if four or more blocks stick together again, they disappear and a chain occurs. However, even if multiple colors are erased at the same time, it will be treated as one chain. Kitamasa finished writing most of the programs for this game, but couldn't write what to do when the blocks stuck together and disappeared. So I decided to ask a friend of the circle to write the program for that part. Notes on Test Cases Multiple datasets are given in the above input format. The first line of input is given the number T of the dataset. Create a program that outputs each data set in the above output format. <!- Input The input consists of 12 lines. The i-th line of the input consists of a character string of length 6, and the j-th character represents the state of the cells in the i-th line from the top of the field and the j-th column from the left. The character that represents the state of the square is one of the following seven. Character | Type --- | --- R | red G | green B | blue Y | yellow P | Purple O | disturb . | Empty space Also, all blocks included in the input are on the floor or on other blocks. Output From the input state, calculate the number of chains when the blocks are erased according to the rules, and output in one line. If none of the blocks disappear, output 0. Examples Input 3 ...... ...... ...... ...... ...... ...... ...... ...... .RGB.. RGOP.. RGBPB. RGBPP. GBRGYP GBRRYP BGGRBB BPRGYY GGPRRY BYPPRB YGGGPB GYYYPR YRBRBR YBRBRB BRBRBR BRBRBR ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ..OO.. ..OO.. Output 3 18 0 Input ...... ...... ...... ...... ...... ...... ...... ...... .RGB.. RGOP.. RGBPB. RGBPP. Output 3 Input GBRGYP GBRRYP BGGRBB BPRGYY GGPRRY BYPPRB YGGGPB GYYYPR YRBRBR YBRBRB BRBRBR BRBRBR Output 18 Input ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ..OO.. ..OO.. Output 0 ### Input: 3 ...... ...... ...... ...... ...... ...... ...... ...... .RGB.. RGOP.. RGBPB. RGBPP. GBRGYP GBRRYP BGGRBB BPRGYY GGPRRY BYPPRB YGGGPB GYYYPR YRBRBR YBRBRB BRBRBR BRBRBR ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ..OO.. ..OO.. ### Output: 3 18 0 ### Input: 3 ...... ...... ...... ...... ...... ...... ...... ...... .RGB.. RGOP.. RGBPB. RGBPP. GBRGYP GBRRYP BGGRBB BPRGYY GGPRRY BYPPRB YGGGPB RPYYYG YRBRBR YBRBRB BRBRBR BRBRBR ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ..OO.. ..OO.. ### Output: 3 8 0 ### Code: def kesu(x, s, c, h): global n if (x[0] - 1, x[1]) not in s and a[x[0] - 1][x[1]] == c: s.add((x[0] - 1, x[1])) kesu((x[0] - 1, x[1]), s, c, h + 1) if (x[0] + 1, x[1]) not in s and a[x[0] + 1][x[1]] == c: s.add((x[0] + 1, x[1])) kesu((x[0] + 1, x[1]), s, c, h + 1) if (x[0], x[1] - 1) not in s and a[x[0]][x[1] - 1] == c: s.add((x[0], x[1] - 1)) kesu((x[0], x[1] - 1), s, c, h + 1) if (x[0], x[1] + 1) not in s and a[x[0]][x[1] + 1] == c: s.add((x[0], x[1] + 1)) kesu((x[0], x[1] + 1), s, c, h + 1) if h == 0 and len(s) > 3: for i in s:a[i[0]][i[1]] = "." n |= s def otosu(): for i in range(1,12)[::-1]: for j in range(1, 7): n = 0 while i + n < 12: if a[i + n][j] != "." and a[i + n + 1][j] == ".": a[i + n][j], a[i + n + 1][j] = a[i + n + 1][j], a[i + n][j] n += 1 else:break for _ in range(int(input())): a = [["." for _ in range(8)]] + [["."] + list(input()) + ["."] for _ in range(12)] + [["." for _ in range(8)]] rensa = 0 while 1: n = set() for i in range(1, 13): for j in range(1, 7): if a[i][j] in ("RGBYP"): kesu((i, j), set(), a[i][j], 0) if n == set():break else: rensa += 1 for i in range(1, 13): for j in range(1, 7): if a[i][j] == "O": if (i - 1, j) in n or (i + 1, j) in n or (i, j - 1) in n or (i, j + 1) in n:a[i][j] = "." otosu() print(rensa)
p01491 RabbitLunch_34794
Example Input 2 3 1 3 1 0 Output 2
import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): M, N, m0, md, n0, nd = map(int, readline().split()) S = [0]*(M+1) S[0] = mi = m0 for i in range(1, M): S[i] = mi = (mi * 58 + md) % (N + 1) S.sort() for i in range(M): S[i+1] += S[i] T = [0]*(N+1) T[0] = ni = n0 for i in range(1, N): T[i] = ni = (ni * 58 + nd) % (M + 1) T.sort() for i in range(N): T[i+1] += T[i] def gen(): def calc(a, b): return (M - a)*(N - b) + S[a] + T[b] yield 10**18 j = N for i in range(M+1): while j > 0 and calc(i, j) > calc(i, j-1): j -= 1 yield calc(i, j) write("%d\n" % min(gen())) solve()
{ "input": [ "2 3 1 3 1 0", "2 3 1 3 1 1", "1 4 1 3 0 1", "1 4 1 3 0 2", "4 3 1 3 0 1", "2 3 1 0 0 1", "4 3 0 5 0 3", "8 3 0 5 0 3", "8 5 0 5 0 3", "4 73 0 1 1 0", "8 9 0 7 0 3", "4 73 0 2 1 0", "8 11 0 7 0 3", "4 12 1 0 0 1", "4 37 1 0 1 0", "8 5 0 5 0 5", "6 11 0 7 0 3", "3 73 0 2 2 -1", "2 8 1 3 0 2", "4 3 2 3 1 1", "4 6 1 0 0 1", "4 53 1 0 1 0", "8 5 1 5 0 5", "7 11 0 7 0 3", "4 33 1 0 1 0", "8 5 1 5 0 2", "4 73 1 0 2 1", "11 9 0 11 0 3", "15 18 0 12 0 4", "4 11 1 0 0 1", "4 33 2 0 1 0", "4 64 1 0 2 1", "8 11 1 0 1 3", "15 18 0 22 0 4", "4 51 2 0 1 0", "9 5 0 5 0 2", "4 95 1 0 2 1", "10 9 0 8 0 3", "13 11 1 0 1 3", "15 18 1 22 0 4", "4 52 1 2 2 0", "13 11 1 0 1 0", "11 51 2 0 1 0", "10 5 0 5 0 4", "4 75 1 2 2 0", "5 6 2 0 1 1", "4 24 1 2 2 0", "3 11 1 0 1 -1", "4 4 1 15 1 5", "11 51 4 0 1 -1", "13 7 0 5 0 4", "11 72 4 0 1 -1", "13 7 0 5 0 3", "4 35 1 2 2 1", "6 6 2 0 1 2", "13 7 0 7 0 3", "4 35 1 2 1 1", "4 46 1 2 1 1", "38 4 1 12 4 3", "66 4 1 12 4 3", "8 46 1 2 1 2", "66 6 1 12 3 3", "8 46 1 3 1 1", "66 6 1 12 3 6", "66 6 1 12 1 6", "8 46 2 1 1 1", "66 6 2 12 1 6", "66 6 2 12 0 5", "66 6 1 4 0 1", "66 9 4 6 0 1", "66 10 4 6 0 1", "66 6 4 3 0 2", "66 6 4 3 0 3", "4 138 0 2 1 0", "8 12 0 12 1 3", "3 89 0 2 2 -1", "4 73 2 0 2 1", "8 11 1 0 0 1", "15 18 0 22 0 5", "17 18 1 22 0 4", "13 12 1 0 1 0", "2 4 1 3 1 1", "2 4 1 3 0 1", "1 3 1 3 0 2", "2 3 1 3 0 2", "2 3 1 3 0 1", "4 3 1 3 0 0", "4 3 1 0 0 0", "2 3 1 0 0 0", "2 2 1 0 0 0", "2 2 1 0 0 1", "2 1 1 0 0 0", "2 1 0 0 0 0", "2 1 2 0 0 0", "2 1 2 0 0 -1", "2 3 1 3 0 0", "2 2 1 3 1 1", "2 4 1 3 1 0", "2 4 2 3 1 1", "1 4 2 3 0 2", "1 3 1 0 0 2" ], "output": [ "2", "2\n", "1\n", "0\n", "4\n", "3\n", "5\n", "9\n", "12\n", "79\n", "25\n", "84\n", "29\n", "22\n", "61\n", "19\n", "18\n", "46\n", "6\n", "7\n", "8\n", "31\n", "20\n", "36\n", "74\n", "16\n", "141\n", "43\n", "138\n", "17\n", "52\n", "128\n", "35\n", "124\n", "50\n", "15\n", "103\n", "27\n", "55\n", "120\n", "73\n", "45\n", "207\n", "23\n", "149\n", "13\n", "26\n", "11\n", "10\n", "255\n", "32\n", "285\n", "38\n", "70\n", "14\n", "21\n", "64\n", "53\n", "51\n", "97\n", "165\n", "131\n", "177\n", "115\n", "123\n", "168\n", "132\n", "110\n", "89\n", "191\n", "241\n", "111\n", "133\n", "155\n", "39\n", "30\n", "134\n", "34\n", "65\n", "137\n", "49\n", "2\n", "2\n", "0\n", "2\n", "2\n", "0\n", "0\n", "0\n", "0\n", "1\n", "0\n", "0\n", "0\n", "0\n", "0\n", "2\n", "2\n", "4\n", "0\n", "0\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Example Input 2 3 1 3 1 0 Output 2 ### Input: 2 3 1 3 1 0 ### Output: 2 ### Input: 2 3 1 3 1 1 ### Output: 2 ### Code: import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): M, N, m0, md, n0, nd = map(int, readline().split()) S = [0]*(M+1) S[0] = mi = m0 for i in range(1, M): S[i] = mi = (mi * 58 + md) % (N + 1) S.sort() for i in range(M): S[i+1] += S[i] T = [0]*(N+1) T[0] = ni = n0 for i in range(1, N): T[i] = ni = (ni * 58 + nd) % (M + 1) T.sort() for i in range(N): T[i+1] += T[i] def gen(): def calc(a, b): return (M - a)*(N - b) + S[a] + T[b] yield 10**18 j = N for i in range(M+1): while j > 0 and calc(i, j) > calc(i, j-1): j -= 1 yield calc(i, j) write("%d\n" % min(gen())) solve()
p01653 Magical Bridges_34797
Problem Statement A magician lives in a country which consists of N islands and M bridges. Some of the bridges are magical bridges, which are created by the magician. Her magic can change all the lengths of the magical bridges to the same non-negative integer simultaneously. This country has a famous 2-player race game. Player 1 starts from island S_1 and Player 2 starts from island S_2. A player who reached the island T first is a winner. Since the magician loves to watch this game, she decided to make the game most exiting by changing the length of the magical bridges so that the difference between the shortest-path distance from S_1 to T and the shortest-path distance from S_2 to T is as small as possible. We ignore the movement inside the islands. Your job is to calculate how small the gap can be. Note that she assigns a length of the magical bridges before the race starts once, and does not change the length during the race. Input The input consists of several datasets. The end of the input is denoted by five zeros separated by a single-space. Each dataset obeys the following format. Every number in the inputs is integer. N M S_1 S_2 T a_1 b_1 w_1 a_2 b_2 w_2 ... a_M b_M w_M (a_i, b_i) indicates the bridge i connects the two islands a_i and b_i. w_i is either a non-negative integer or a letter `x` (quotes for clarity). If w_i is an integer, it indicates the bridge i is normal and its length is w_i. Otherwise, it indicates the bridge i is magical. You can assume the following: * 1\leq N \leq 1,000 * 1\leq M \leq 2,000 * 1\leq S_1, S_2, T \leq N * S_1, S_2, T are all different. * 1\leq a_i, b_i \leq N * a_i \neq b_i * For all normal bridge i, 0 \leq w_i \leq 1,000,000,000 * The number of magical bridges \leq 100 Output For each dataset, print the answer in a line. Example Input 3 2 2 3 1 1 2 1 1 3 2 4 3 1 4 2 2 1 3 2 3 x 4 3 x 0 0 0 0 0 Output 1 1
from heapq import heappush, heappop import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): N, M, S1, S2, T = map(int, readline().split()) if N == 0: return False S1 -= 1; S2 -= 1; T -= 1 G = [[] for i in range(N)] Gx = [[] for i in range(N)] L = 0 for i in range(M): a, b, w = readline().strip().split() a = int(a)-1; b = int(b)-1 if w == 'x': Gx[a].append(b) Gx[b].append(a) L += 1 else: w = int(w) G[a].append((b, w)) G[b].append((a, w)) INF = 10**18 dist = [[INF]*N for i in range(L+1)] que = [(0, T, 0)] while que: cost, v, k = heappop(que) if dist[k][v] < cost: continue dk0 = dist[k] for w, d in G[v]: if cost + d < dk0[w]: dk0[w] = cost + d heappush(que, (cost + d, w, k)) if k+1 <= L: dk1 = dist[k+1] for w in Gx[v]: if cost < dk1[w]: dk1[w] = cost heappush(que, (cost, w, k+1)) def check(f1, f2, f3): return (f2[0] - f1[0]) * (f3[1] - f2[1]) >= (f2[1] - f1[1]) * (f3[0] - f2[0]) def f(f1, x): return f1[0]*x + f1[1] que1 = [] que2 = [] for a in range(L, -1, -1): if dist[a][S1] != INF: f1 = (a, dist[a][S1]) while len(que1) >= 2 and check(que1[-2], que1[-1], f1): que1.pop() que1.append(f1) if dist[a][S2] != INF: f2 = (a, dist[a][S2]) while len(que2) >= 2 and check(que2[-2], que2[-1], f2): que2.pop() que2.append(f2) m1 = len(que1); m2 = len(que2) ans = 10**18 for i in range(m1): px0 = 0; px1 = 10**18 ai, bi = que1[i] if i > 0: ci, di = que1[i-1] px0 = max((bi-di + ci-ai-1) // (ci-ai), 0) if i < m1-1: ci, di = que1[i+1] px1 = (di-bi) // (ai-ci) for j in range(m2): qx0 = 0; qx1 = 10**18 aj, bj = que2[j] if j > 0: cj, dj = que2[j-1] qx0 = max((bj-dj + cj-aj-1) // (cj-aj), 0) if j < m2-1: cj, dj = que2[j+1] qx1 = (dj-bj) // (aj-cj) x0 = max(px0, qx0); x1 = min(px1, qx1) if not x0 <= x1: continue ans = min(ans, abs((ai - aj)*x0 + (bi - bj)), abs((ai - aj)*x1 + (bi - bj))) if ai != aj: x = (bj - bi) // (ai - aj) if x0 <= x <= x1: ans = min(ans, abs((ai - aj)*x + (bi - bj))) if x0 <= x+1 <= x1: ans = min(ans, abs((ai - aj)*(x+1) + (bi - bj))) write("%d\n" % ans) return True while solve(): ...
{ "input": [ "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 3\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 5\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 1\n4 3 1 4 2\n2 1 3\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 2\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n2 3 2\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n2 3 2\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "12 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 2 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "12 2 2 3 1\n1 2 7\n1 3 1\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "12 2 2 1 1\n1 2 7\n1 3 3\n4 3 1 2 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "12 2 2 1 1\n1 2 7\n1 3 3\n4 3 1 2 2\n2 1 14\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 2\n1 2 7\n1 3 3\n4 3 1 4 4\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 2\n1 2 7\n2 3 3\n4 3 1 4 4\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 2\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 2\n1 2 2\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 1 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 2\n1 3 2\n4 3 1 4 4\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 2\n1 2 7\n1 3 3\n4 3 1 4 4\n2 1 5\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 1\n2 1 10\n2 4 x\n4 3 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 2\n1 3 2\n4 3 1 4 4\n2 1 8\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 2\n1 2 7\n1 3 3\n4 3 1 4 4\n2 1 1\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 3\n4 3 1 4 1\n2 1 10\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 2\n1 2 1\n1 3 2\n4 3 1 4 1\n2 1 3\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 2 2\n1 2 1\n1 3 2\n4 3 1 4 1\n2 1 3\n2 4 x\n4 3 x\n0 0 0 0 0", "5 2 1 3 1\n1 2 0\n1 3 3\n6 3 2 4 2\n3 1 1\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 1\n4 3 1 4 2\n3 1 3\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 1\n5 3 1 4 2\n2 1 3\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "9 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 0\n4 3 1 4 2\n2 1 5\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 10\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 1\n5 3 1 4 2\n2 1 2\n2 3 x\n4 3 x\n0 0 0 0 0", "12 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 4\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 3\n1 3 2\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 1 x\n0 0 0 0 0", "6 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 14\n2 3 x\n4 3 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 2 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 3\n1 3 4\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 3\n4 3 1 4 2\n2 1 7\n2 3 x\n4 2 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 2 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 1\n2 3 x\n4 1 x\n0 0 0 0 0", "9 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n2 3 2\n4 3 1 4 2\n2 1 4\n2 3 x\n4 2 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 0\n2 4 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 4\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 2\n1 3 2\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "7 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 4\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 5\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 2\n1 3 2\n4 3 1 4 2\n2 1 7\n2 3 x\n4 2 x\n0 0 0 0 0", "7 2 1 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 2\n4 3 1 4 2\n2 1 0\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 5\n4 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 1\n4 3 2 4 2\n3 1 3\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 6\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 3 2\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 10\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 4\n2 1 6\n2 3 x\n4 1 x\n0 0 0 0 0", "5 2 2 2 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 2 1\n1 2 4\n1 3 0\n4 3 1 4 2\n2 1 1\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n2 3 0\n4 3 1 4 2\n2 1 4\n2 3 x\n4 2 x\n0 0 0 0 0", "12 2 3 1 1\n1 2 7\n1 3 3\n4 3 1 2 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "7 2 2 3 1\n1 2 1\n1 3 2\n5 3 1 4 2\n2 1 7\n2 3 x\n4 3 x\n0 0 0 0 0", "6 2 2 3 1\n1 2 7\n2 3 3\n4 3 1 4 4\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 5\n1 3 5\n4 3 1 4 2\n2 1 4\n2 3 x\n4 1 x\n0 0 0 0 0", "6 2 2 3 2\n1 2 5\n2 3 3\n4 3 1 4 4\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 3\n2 3 0\n4 3 1 4 2\n2 1 4\n2 3 x\n4 2 x\n0 0 0 0 0", "7 2 2 3 1\n1 2 1\n1 3 2\n5 3 1 4 2\n2 1 1\n2 3 x\n4 3 x\n0 0 0 0 0", "12 2 2 3 2\n1 2 5\n2 3 3\n4 3 1 4 4\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 4\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 1\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n1 3 5\n4 3 1 4 2\n2 1 4\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 4\n1 3 3\n4 3 1 4 2\n2 1 7\n2 4 x\n7 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 2\n2 3 2\n4 3 1 4 2\n2 1 11\n2 3 x\n4 3 x\n0 0 0 0 0", "9 2 2 3 1\n1 2 7\n1 3 3\n4 3 1 4 2\n2 1 7\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 0\n2 3 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n2 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n3 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 3\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 0\n2 3 x\n4 2 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n2 1 0\n2 2 x\n4 1 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n3 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "5 2 2 3 1\n1 2 1\n1 3 3\n6 3 1 4 2\n3 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 4 4\n2 1 0\n2 2 x\n4 1 x\n0 0 0 0 0", "3 2 1 3 1\n1 2 1\n1 3 2\n6 3 1 4 2\n3 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 3 3 1\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 2\n6 3 1 3 2\n3 1 0\n2 3 x\n4 1 x\n0 0 0 0 0", "3 2 2 3 2\n1 2 1\n1 3 2\n4 3 1 4 2\n2 1 3\n2 4 x\n4 3 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 1\n1 3 0\n4 3 1 4 2\n2 1 0\n2 3 x\n4 2 x\n0 0 0 0 0", "3 2 2 3 1\n1 2 0\n1 3 2\n6 3 1 4 4\n2 1 0\n2 2 x\n4 1 x\n0 0 0 0 0" ], "output": [ "1\n1", "1\n0\n", "1\n1\n", "0\n1\n", "0\n0\n", "2\n0\n", "4\n1\n", "2\n1\n", "4\n7\n", "4\n0\n", "6\n1\n", "7\n7\n", "7\n14\n", "10\n7\n", "3\n7\n", "3\n0\n", "5\n0\n", "0\n7\n", "10\n5\n", "1\n10\n", "0\n8\n", "10\n1\n", "2\n10\n", "3\n3\n", "0\n3\n", "3\n1\n", "1\n0\n", "1\n1\n", "1\n1\n", "1\n1\n", "1\n1\n", "0\n0\n", "1\n0\n", "0\n1\n", "1\n0\n", "4\n1\n", "1\n1\n", "1\n0\n", "1\n0\n", "0\n0\n", "4\n1\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n1\n", "0\n0\n", "1\n0\n", "1\n0\n", "1\n1\n", "0\n0\n", "1\n1\n", "2\n0\n", "1\n0\n", "4\n7\n", "0\n1\n", "1\n1\n", "4\n7\n", "2\n0\n", "0\n0\n", "2\n1\n", "0\n0\n", "1\n1\n", "0\n0\n", "2\n0\n", "1\n1\n", "1\n0\n", "1\n0\n", "0\n0\n", "0\n0\n", "0\n0\n", "3\n7\n", "1\n1\n", "3\n7\n", "0\n0\n", "3\n7\n", "0\n0\n", "1\n1\n", "3\n7\n", "3\n0\n", "1\n0\n", "3\n0\n", "1\n0\n", "2\n1\n", "4\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "1\n0\n", "2\n0\n", "1\n0\n", "2\n0\n", "0\n0\n", "1\n0\n", "3\n0\n", "1\n0\n", "2\n0\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Problem Statement A magician lives in a country which consists of N islands and M bridges. Some of the bridges are magical bridges, which are created by the magician. Her magic can change all the lengths of the magical bridges to the same non-negative integer simultaneously. This country has a famous 2-player race game. Player 1 starts from island S_1 and Player 2 starts from island S_2. A player who reached the island T first is a winner. Since the magician loves to watch this game, she decided to make the game most exiting by changing the length of the magical bridges so that the difference between the shortest-path distance from S_1 to T and the shortest-path distance from S_2 to T is as small as possible. We ignore the movement inside the islands. Your job is to calculate how small the gap can be. Note that she assigns a length of the magical bridges before the race starts once, and does not change the length during the race. Input The input consists of several datasets. The end of the input is denoted by five zeros separated by a single-space. Each dataset obeys the following format. Every number in the inputs is integer. N M S_1 S_2 T a_1 b_1 w_1 a_2 b_2 w_2 ... a_M b_M w_M (a_i, b_i) indicates the bridge i connects the two islands a_i and b_i. w_i is either a non-negative integer or a letter `x` (quotes for clarity). If w_i is an integer, it indicates the bridge i is normal and its length is w_i. Otherwise, it indicates the bridge i is magical. You can assume the following: * 1\leq N \leq 1,000 * 1\leq M \leq 2,000 * 1\leq S_1, S_2, T \leq N * S_1, S_2, T are all different. * 1\leq a_i, b_i \leq N * a_i \neq b_i * For all normal bridge i, 0 \leq w_i \leq 1,000,000,000 * The number of magical bridges \leq 100 Output For each dataset, print the answer in a line. Example Input 3 2 2 3 1 1 2 1 1 3 2 4 3 1 4 2 2 1 3 2 3 x 4 3 x 0 0 0 0 0 Output 1 1 ### Input: 3 2 2 3 1 1 2 1 1 3 2 4 3 1 4 2 2 1 3 2 3 x 4 3 x 0 0 0 0 0 ### Output: 1 1 ### Input: 3 2 2 3 1 1 2 1 1 3 2 4 3 1 4 2 2 1 4 2 3 x 4 3 x 0 0 0 0 0 ### Output: 1 0 ### Code: from heapq import heappush, heappop import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): N, M, S1, S2, T = map(int, readline().split()) if N == 0: return False S1 -= 1; S2 -= 1; T -= 1 G = [[] for i in range(N)] Gx = [[] for i in range(N)] L = 0 for i in range(M): a, b, w = readline().strip().split() a = int(a)-1; b = int(b)-1 if w == 'x': Gx[a].append(b) Gx[b].append(a) L += 1 else: w = int(w) G[a].append((b, w)) G[b].append((a, w)) INF = 10**18 dist = [[INF]*N for i in range(L+1)] que = [(0, T, 0)] while que: cost, v, k = heappop(que) if dist[k][v] < cost: continue dk0 = dist[k] for w, d in G[v]: if cost + d < dk0[w]: dk0[w] = cost + d heappush(que, (cost + d, w, k)) if k+1 <= L: dk1 = dist[k+1] for w in Gx[v]: if cost < dk1[w]: dk1[w] = cost heappush(que, (cost, w, k+1)) def check(f1, f2, f3): return (f2[0] - f1[0]) * (f3[1] - f2[1]) >= (f2[1] - f1[1]) * (f3[0] - f2[0]) def f(f1, x): return f1[0]*x + f1[1] que1 = [] que2 = [] for a in range(L, -1, -1): if dist[a][S1] != INF: f1 = (a, dist[a][S1]) while len(que1) >= 2 and check(que1[-2], que1[-1], f1): que1.pop() que1.append(f1) if dist[a][S2] != INF: f2 = (a, dist[a][S2]) while len(que2) >= 2 and check(que2[-2], que2[-1], f2): que2.pop() que2.append(f2) m1 = len(que1); m2 = len(que2) ans = 10**18 for i in range(m1): px0 = 0; px1 = 10**18 ai, bi = que1[i] if i > 0: ci, di = que1[i-1] px0 = max((bi-di + ci-ai-1) // (ci-ai), 0) if i < m1-1: ci, di = que1[i+1] px1 = (di-bi) // (ai-ci) for j in range(m2): qx0 = 0; qx1 = 10**18 aj, bj = que2[j] if j > 0: cj, dj = que2[j-1] qx0 = max((bj-dj + cj-aj-1) // (cj-aj), 0) if j < m2-1: cj, dj = que2[j+1] qx1 = (dj-bj) // (aj-cj) x0 = max(px0, qx0); x1 = min(px1, qx1) if not x0 <= x1: continue ans = min(ans, abs((ai - aj)*x0 + (bi - bj)), abs((ai - aj)*x1 + (bi - bj))) if ai != aj: x = (bj - bi) // (ai - aj) if x0 <= x <= x1: ans = min(ans, abs((ai - aj)*x + (bi - bj))) if x0 <= x+1 <= x1: ans = min(ans, abs((ai - aj)*(x+1) + (bi - bj))) write("%d\n" % ans) return True while solve(): ...
p01804 Falling Block Puzzle_34800
Falling Block Puzzle Block drop You are playing a falling block puzzle. As shown in the figure below, the field of this puzzle has a shape in which cubic cells are arranged in 2 squares x 2 squares in each row, and the rows are infinitely arranged on the top. <image> Each cell either has one block that fits snugly in the cell, or nothing. This puzzle proceeds as follows. 1. Some blocks are installed in the initial state. 2. Drop a block that fits in 2 squares x 2 squares x 2 squares from above. However, before dropping, the block can be translated horizontally so that the block does not stick out of the field. 3. When the bottom surface of one of the dropped blocks reaches the bottom of the block or field that has already been placed, all the blocks will stop falling and stop. 4. For each stage, if all 4 squares are filled, the blocks in that stage will disappear, and the blocks above it will fall one by one. Even if there are no blocks in the cell below each block after the fall, it will not fall any further. 5. Return to 2. Since the blocks placed in the initial state and some lumps to be dropped are given, create a program to find out how many steps can be erased by dropping all the lumps in the order given. Input The input consists of 100 or less datasets. Each dataset has the following form. > (Initial block height H) (Number of lumps to drop N) > (1st stage in the initial state) > ... > (H stage in the initial state) > (1st drop) > ... > (Nth drop) The first line of each dataset specifies the initial block height H (1 ≤ H ≤ 10) and the number of lumps to drop N (1 ≤ N ≤ 3). Then, the information of each stage in the initial state is given in the following format. > c11 c12 > c21 c22 cij represents the information of each cell,'#' indicates that a block exists, and'.' Indicates that there is no block. It can be assumed that there are no blocks in all cells or no blocks in all cells for each of the first to H rows. Then, the information of each drop mass is given in the following format. > b111 b112 > b121 b122 > b211 b212 > b221 b222 As in the initial state format,'#' indicates that a block exists, and'.' Indicates that there is no block. Each block contains at least one block. The blocks contained in the block may be touched only by the corners and sides, and are not necessarily connected by the surface. Refer to the figure below for the correspondence of the input subscripts of the initial state and block block. <image> The end of the input is indicated by a single line of two zeros. The figure below shows the first data set in the Sample Input shown later. In this dataset, one step can be erased by translating a block of blocks diagonally and then dropping them. <image> Output For each dataset, output on one line how many columns can be erased at the maximum. Sample Input 1 1 .. .. .. .. .. 1 1 . # .. .. .. .. . # twenty two .. .. .. . # .. .. .. .. .. 13 .. .. 10 3 .. .. . # . # .. .. . # . # . # .. . # .. .. . # .. . # .. .. .. .. .. .. .. .. 10 3 . # .. .. . # .. . # . # . # .. . # .. . # .. .. . # .. .. .. .. .. .. .. .. . # 0 0 Output for Sample Input 1 0 3 6 6 0 Example Input 1 1 ## #. .. .. #. .. 1 1 .# #. #. .. .. .# 2 2 ## #. ## #. .. .# ## #. #. .. #. .. 1 3 #. .. ## ## ## ## ## ## ## ## ## ## ## ## 10 3 ## #. ## #. ## .# ## .# #. ## #. ## .# ## .# ## .# #. .# #. #. .# #. .# #. .. #. .. #. .. #. .. 10 3 ## .# ## .. ## #. .# .. ## .# .# ## .# ## #. ## ## .# .. .# #. #. .# #. #. #. #. .. .. .. .. .# 0 0 Output 1 0 3 6 6 0
import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): H, N = map(int, readline().split()) if H == N == 0: return False def get_block(): s = readline().strip() v = (s[0] == '#') + (s[1] == '#')*2 s = readline().strip() v += (s[0] == '#')*4 + (s[1] == '#')*8 return v R = [] for i in range(H): R.append(get_block()) R.extend([0]*8) H += 8 I = [] for i in range(N): v = get_block(); w = get_block() if v == 0: v, w = w, 0 if v & 3 == 0 and w & 3 == 0: v >>= 2; w >>= 2 if v & 5 == 0 and w & 5 == 0: v >>= 1; w >>= 1 I.append((v, w)) def dfs(i, R0): if i == N: return 0 v0, w0 = I[i] r = 0 for k, f in ((0, 0), (1, 5), (2, 3), (3, 0)): v = v0 << k; w = w0 << k if v >= 16 or w >= 16 or v & f or w & f: continue h = H-1 while h and R0[h-1] & v == 0 and R0[h] & w == 0: h -= 1 R = R0[:] R[h] |= v; R[h+1] |= w c = 0 if R[h+1] == 15: for j in range(h+2, H): R[j-1] = R[j] c += 1 if R[h] == 15: for j in range(h+1, H): R[j-1] = R[j] c += 1 r = max(r, dfs(i+1, R) + c) return r write("%d\n" % dfs(0, R)) return True while solve(): ...
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6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Falling Block Puzzle Block drop You are playing a falling block puzzle. As shown in the figure below, the field of this puzzle has a shape in which cubic cells are arranged in 2 squares x 2 squares in each row, and the rows are infinitely arranged on the top. <image> Each cell either has one block that fits snugly in the cell, or nothing. This puzzle proceeds as follows. 1. Some blocks are installed in the initial state. 2. Drop a block that fits in 2 squares x 2 squares x 2 squares from above. However, before dropping, the block can be translated horizontally so that the block does not stick out of the field. 3. When the bottom surface of one of the dropped blocks reaches the bottom of the block or field that has already been placed, all the blocks will stop falling and stop. 4. For each stage, if all 4 squares are filled, the blocks in that stage will disappear, and the blocks above it will fall one by one. Even if there are no blocks in the cell below each block after the fall, it will not fall any further. 5. Return to 2. Since the blocks placed in the initial state and some lumps to be dropped are given, create a program to find out how many steps can be erased by dropping all the lumps in the order given. Input The input consists of 100 or less datasets. Each dataset has the following form. > (Initial block height H) (Number of lumps to drop N) > (1st stage in the initial state) > ... > (H stage in the initial state) > (1st drop) > ... > (Nth drop) The first line of each dataset specifies the initial block height H (1 ≤ H ≤ 10) and the number of lumps to drop N (1 ≤ N ≤ 3). Then, the information of each stage in the initial state is given in the following format. > c11 c12 > c21 c22 cij represents the information of each cell,'#' indicates that a block exists, and'.' Indicates that there is no block. It can be assumed that there are no blocks in all cells or no blocks in all cells for each of the first to H rows. Then, the information of each drop mass is given in the following format. > b111 b112 > b121 b122 > b211 b212 > b221 b222 As in the initial state format,'#' indicates that a block exists, and'.' Indicates that there is no block. Each block contains at least one block. The blocks contained in the block may be touched only by the corners and sides, and are not necessarily connected by the surface. Refer to the figure below for the correspondence of the input subscripts of the initial state and block block. <image> The end of the input is indicated by a single line of two zeros. The figure below shows the first data set in the Sample Input shown later. In this dataset, one step can be erased by translating a block of blocks diagonally and then dropping them. <image> Output For each dataset, output on one line how many columns can be erased at the maximum. Sample Input 1 1 .. .. .. .. .. 1 1 . # .. .. .. .. . # twenty two .. .. .. . # .. .. .. .. .. 13 .. .. 10 3 .. .. . # . # .. .. . # . # . # .. . # .. .. . # .. . # .. .. .. .. .. .. .. .. 10 3 . # .. .. . # .. . # . # . # .. . # .. . # .. .. . # .. .. .. .. .. .. .. .. . # 0 0 Output for Sample Input 1 0 3 6 6 0 Example Input 1 1 ## #. .. .. #. .. 1 1 .# #. #. .. .. .# 2 2 ## #. ## #. .. .# ## #. #. .. #. .. 1 3 #. .. ## ## ## ## ## ## ## ## ## ## ## ## 10 3 ## #. ## #. ## .# ## .# #. ## #. ## .# ## .# ## .# #. .# #. #. .# #. .# #. .. #. .. #. .. #. .. 10 3 ## .# ## .. ## #. .# .. ## .# .# ## .# ## #. ## ## .# .. .# #. #. .# #. #. #. #. .. .. .. .. .# 0 0 Output 1 0 3 6 6 0 ### Input: 1 1 ## #. .. .. #. .. 1 1 .# #. #. .. .. .# 2 2 ## #. ## #. .. .# ## #. #. .. #. .. 1 3 #. .. ## ## ## ## ## ## ## ## ## ## ## ## 10 3 ## #. ## #. ## .# ## .# #. ## #. ## .# ## .# ## .# #. .# #. #. .# #. .# #. .. #. .. #. .. #. .. 10 3 ## .# ## .. ## #. .# .. ## .# .# ## .# ## #. ## ## .# .. .# #. #. .# #. #. #. #. .. .. .. .. .# 0 0 ### Output: 1 0 3 6 6 0 ### Input: 1 1 ## #. .. .. #. .. 1 1 .# #. #. .. .. .# 2 2 ## #. ## #. .. .# ## #. .# .. #. .. 1 3 #. .. ## ## ## ## ## ## ## ## ## ## ## ## 10 3 ## #. ## #. ## .# ## .# #. ## #. ## .# ## .# ## .# #. .# #. #. .# #. .# #. .. #. .. #. .. #. .. 10 3 ## .# ## .. ## #. .# .. ## .# .# ## .# ## #. ## ## .# .. .# #. #. .# #. #. #. #. .. .. .. .. .# 0 0 ### Output: 1 0 2 6 6 0 ### Code: import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): H, N = map(int, readline().split()) if H == N == 0: return False def get_block(): s = readline().strip() v = (s[0] == '#') + (s[1] == '#')*2 s = readline().strip() v += (s[0] == '#')*4 + (s[1] == '#')*8 return v R = [] for i in range(H): R.append(get_block()) R.extend([0]*8) H += 8 I = [] for i in range(N): v = get_block(); w = get_block() if v == 0: v, w = w, 0 if v & 3 == 0 and w & 3 == 0: v >>= 2; w >>= 2 if v & 5 == 0 and w & 5 == 0: v >>= 1; w >>= 1 I.append((v, w)) def dfs(i, R0): if i == N: return 0 v0, w0 = I[i] r = 0 for k, f in ((0, 0), (1, 5), (2, 3), (3, 0)): v = v0 << k; w = w0 << k if v >= 16 or w >= 16 or v & f or w & f: continue h = H-1 while h and R0[h-1] & v == 0 and R0[h] & w == 0: h -= 1 R = R0[:] R[h] |= v; R[h+1] |= w c = 0 if R[h+1] == 15: for j in range(h+2, H): R[j-1] = R[j] c += 1 if R[h] == 15: for j in range(h+1, H): R[j-1] = R[j] c += 1 r = max(r, dfs(i+1, R) + c) return r write("%d\n" % dfs(0, R)) return True while solve(): ...
p01939 Ebi-chan and Integer Sequences_34804
B: Ebi-chan and Integer Sequences- problem Ebi-chan likes sequences. I especially like arithmetic progressions. This time, I decided to create a sequence that meets the following conditions. * Arithmetic progression of length n * When the i-th element of the sequence is defined as s_i, all s_i (1 \ leq i \ leq n) are integers that satisfy 0 \ leq s_i \ leq m. How many sequences are there that satisfy the above conditions? However, the answer can be very large, so print the remainder after dividing by 10 ^ 9 + 7. Input format Input is given in one line. n m n represents the length of the sequence. Constraint * 1 \ leq n \ leq 10 ^ {15} * 0 \ leq m \ leq 10 ^ {15} Output format Divide the number of arithmetic progressions that satisfy the condition by 10 ^ 9 + 7 and output the remainder in one row. Input example 1 3 9 Output example 1 50 Input example 2 10000000000 10000000000 Output example 2 999999942 Note that the input does not fit in a 32-bit integer. Example Input 3 9 Output 50
MOD = 10**9+7 def sum(a,d,n): return n*(2*a+(n-1)*d)//2 def main(): n,m = map(int,input().split()) s = 0 if n == 1: s = m+1 else: s = sum(m+1,-n+1,1+m//(n-1)) s *= 2 s -= (m+1) print(s%MOD) if __name__ == '__main__': main()
{ "input": [ "3 9", "3 0", "3 -1", "3 4", "3 1", "6 4", "2 4", "2 3", "2 5", "1 2", "1 5", "5 9", "2 8", "1 3", "2 2", "9 9", "4 8", "1 6", "1 7", "2 7", "2 13", "2 10", "1 10", "3 14", "3 5", "2 6", "5 16", "4 7", "3 10", "3 8", "1 9", "3 13", "3 7", "1 20", "4 16", "4 5", "3 26", "2 12", "3 11", "2 11", "1 30", "4 13", "3 12", "6 8", "8 13", "5 12", "6 11", "8 18", "7 11", "7 13", "8 54", "6 13", "9 54", "12 13", "3 17", "2 9", "7 8", "2 18", "3 19", "2 17", "2 20", "4 11", "3 18", "4 14", "3 29", "2 26", "2 36", "5 13", "5 26", "12 18", "3 16", "3 22", "2 28", "8 10", "11 54", "2 15", "6 16", "12 16", "1 22", "2 16", "2 21", "2 14", "3 15", "2 29", "2 30", "3 24", "5 29", "2 52", "5 32", "4 28", "3 39", "4 33", "10 54", "6 29", "2 24", "3 20", "2 58", "2 22", "3 30", "1 70", "2 39" ], "output": [ "50", "1\n", "0\n", "13\n", "2\n", "5\n", "25\n", "16\n", "36\n", "3\n", "6\n", "26\n", "81\n", "4\n", "9\n", "14\n", "27\n", "7\n", "8\n", "64\n", "196\n", "121\n", "11\n", "113\n", "18\n", "49\n", "73\n", "22\n", "61\n", "41\n", "10\n", "98\n", "32\n", "21\n", "97\n", "12\n", "365\n", "169\n", "72\n", "144\n", "31\n", "66\n", "85\n", "17\n", "28\n", "43\n", "30\n", "53\n", "24\n", "34\n", "433\n", "40\n", "379\n", "20\n", "162\n", "100\n", "15\n", "361\n", "200\n", "324\n", "441\n", "48\n", "181\n", "75\n", "450\n", "729\n", "1369\n", "50\n", "183\n", "35\n", "145\n", "265\n", "841\n", "19\n", "305\n", "256\n", "59\n", "29\n", "23\n", "289\n", "484\n", "225\n", "128\n", "900\n", "961\n", "313\n", "226\n", "2809\n", "273\n", "281\n", "800\n", "386\n", "337\n", "180\n", "625\n", "221\n", "3481\n", "529\n", "481\n", "71\n", "1600\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: B: Ebi-chan and Integer Sequences- problem Ebi-chan likes sequences. I especially like arithmetic progressions. This time, I decided to create a sequence that meets the following conditions. * Arithmetic progression of length n * When the i-th element of the sequence is defined as s_i, all s_i (1 \ leq i \ leq n) are integers that satisfy 0 \ leq s_i \ leq m. How many sequences are there that satisfy the above conditions? However, the answer can be very large, so print the remainder after dividing by 10 ^ 9 + 7. Input format Input is given in one line. n m n represents the length of the sequence. Constraint * 1 \ leq n \ leq 10 ^ {15} * 0 \ leq m \ leq 10 ^ {15} Output format Divide the number of arithmetic progressions that satisfy the condition by 10 ^ 9 + 7 and output the remainder in one row. Input example 1 3 9 Output example 1 50 Input example 2 10000000000 10000000000 Output example 2 999999942 Note that the input does not fit in a 32-bit integer. Example Input 3 9 Output 50 ### Input: 3 9 ### Output: 50 ### Input: 3 0 ### Output: 1 ### Code: MOD = 10**9+7 def sum(a,d,n): return n*(2*a+(n-1)*d)//2 def main(): n,m = map(int,input().split()) s = 0 if n == 1: s = m+1 else: s = sum(m+1,-n+1,1+m//(n-1)) s *= 2 s -= (m+1) print(s%MOD) if __name__ == '__main__': main()
p02088 Union Ball_34807
A: Union Ball Problem Statement There are N balls in a box. The i-th ball is labeled with a positive integer A_i. You can interact with balls in the box by taking actions under the following rules: * If integers on balls in the box are all odd or all even, you cannot take actions anymore. * Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box. For given balls, what is the maximum number of actions you can take under the above rules? Input N A_1 A_2 ... A_N * The first line gives an integer N representing the initial number of balls in a box. * The second line contains N integers, the i-th of which is the integer on the i-th ball. Constraints * 1 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 * Inputs consist only of integers. Output Output the maximum number of actions you can take in one line. Sample Input 1 3 4 5 6 Output for Sample Input 1 2 First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways. Sample Input 2 4 4 2 4 2 Output for Sample Input 2 0 You cannot take any actions in this case. Example Input 3 4 5 6 Output 2
n = int(input()) a = list(map(int, input().split())) p, q = 0, 0 for i in a: if i % 2 == 0: p += 1 else: q += 1 if p == 0 or q == 0: print(0) exit() res = p if q % 2 == 0: res += 2 * max(q // 2 - 1, 0) else: res += (q // 2) * 2 print(res)
{ "input": [ "3\n4 5 6", "3\n6 5 6", "3\n3 5 6", "3\n6 6 6", "3\n3 6 6", "3\n6 6 2", "3\n6 9 2", "3\n6 0 2", "3\n6 1 2", "3\n6 2 2", "3\n12 2 2", "3\n12 1 2", "3\n10 2 2", "3\n19 2 2", "3\n9 2 2", "3\n9 4 2", "3\n9 4 4", "3\n9 7 4", "3\n9 1 4", "3\n17 1 4", "3\n17 0 4", "3\n23 0 4", "3\n23 0 0", "3\n31 0 0", "3\n0 0 0", "3\n4 5 10", "3\n8 5 6", "3\n1 5 6", "3\n3 6 4", "3\n6 0 6", "3\n2 6 2", "3\n6 8 2", "3\n6 0 1", "3\n1 0 2", "3\n10 0 2", "3\n12 2 3", "3\n12 1 3", "3\n4 2 2", "3\n19 4 2", "3\n15 2 2", "3\n9 4 3", "3\n15 4 4", "3\n6 7 4", "3\n9 1 8", "3\n17 1 8", "3\n11 0 4", "3\n0 0 4", "3\n38 0 0", "3\n1 0 0", "3\n3 5 10", "3\n8 4 6", "3\n1 5 7", "3\n3 8 4", "3\n10 0 6", "3\n1 6 2", "3\n0 8 2", "3\n8 0 1", "3\n0 0 2", "3\n10 0 3", "3\n12 2 5", "3\n15 1 3", "3\n4 0 2", "3\n19 7 2", "3\n5 2 2", "3\n9 4 5", "3\n15 4 7", "3\n6 7 0", "3\n16 1 8", "3\n17 1 12", "3\n11 0 1", "3\n54 0 0", "3\n3 5 17", "3\n8 8 6", "3\n2 5 7", "3\n5 8 4", "3\n10 1 6", "3\n2 6 0", "3\n0 8 4", "3\n1 1 2", "3\n10 0 5", "3\n12 3 5", "3\n19 1 3", "3\n3 0 2", "3\n19 7 0", "3\n5 4 2", "3\n14 4 5", "3\n19 4 7", "3\n9 0 8", "3\n17 0 12", "3\n11 0 2", "3\n3 5 33", "3\n8 0 6", "3\n0 5 7", "3\n5 16 4", "3\n10 2 6", "3\n1 6 0", "3\n0 12 4", "3\n0 1 2", "3\n15 0 6", "3\n7 3 5", "3\n27 1 3" ], "output": [ "2", "2\n", "1\n", "0\n", "2\n", "0\n", "2\n", "0\n", "2\n", "0\n", "0\n", "2\n", "0\n", "2\n", "2\n", "2\n", "2\n", "1\n", "1\n", "1\n", "2\n", "2\n", "2\n", "2\n", "0\n", "2\n", "2\n", "1\n", "2\n", "0\n", "0\n", "0\n", "2\n", "2\n", "0\n", "2\n", "1\n", "0\n", "2\n", "2\n", "1\n", "2\n", "2\n", "1\n", "1\n", "2\n", "0\n", "0\n", "2\n", "1\n", "0\n", "0\n", "2\n", "0\n", "2\n", "0\n", "2\n", "0\n", "2\n", "2\n", "0\n", "0\n", "1\n", "2\n", "1\n", "1\n", "2\n", "2\n", "1\n", "1\n", "0\n", "0\n", "0\n", "1\n", "2\n", "2\n", "0\n", "0\n", "1\n", "2\n", "1\n", "0\n", "2\n", "1\n", "2\n", "2\n", "1\n", "2\n", "2\n", "2\n", "0\n", "0\n", "1\n", "2\n", "0\n", "2\n", "0\n", "2\n", "2\n", "0\n", "0\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: A: Union Ball Problem Statement There are N balls in a box. The i-th ball is labeled with a positive integer A_i. You can interact with balls in the box by taking actions under the following rules: * If integers on balls in the box are all odd or all even, you cannot take actions anymore. * Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box. For given balls, what is the maximum number of actions you can take under the above rules? Input N A_1 A_2 ... A_N * The first line gives an integer N representing the initial number of balls in a box. * The second line contains N integers, the i-th of which is the integer on the i-th ball. Constraints * 1 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 * Inputs consist only of integers. Output Output the maximum number of actions you can take in one line. Sample Input 1 3 4 5 6 Output for Sample Input 1 2 First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways. Sample Input 2 4 4 2 4 2 Output for Sample Input 2 0 You cannot take any actions in this case. Example Input 3 4 5 6 Output 2 ### Input: 3 4 5 6 ### Output: 2 ### Input: 3 6 5 6 ### Output: 2 ### Code: n = int(input()) a = list(map(int, input().split())) p, q = 0, 0 for i in a: if i % 2 == 0: p += 1 else: q += 1 if p == 0 or q == 0: print(0) exit() res = p if q % 2 == 0: res += 2 * max(q // 2 - 1, 0) else: res += (q // 2) * 2 print(res)
p02372 Height of a Tree_34812
Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 tn-1 wn-1 The first line consists of an integer n which represents the number of nodes in the tree. Every node has a unique ID from 0 to n-1 respectively. In the following n-1 lines, edges of the tree are given. si and ti represent end-points of the i-th edge (undirected) and wi represents the weight (distance) of the i-th edge. Output The output consists of n lines. Print the height of each node 0, 1, 2, ..., n-1 in order. Example Input 4 0 1 2 1 2 1 1 3 3 Output 5 3 4 5
from sys import stdin from collections import defaultdict readline = stdin.readline #readline = open('GRL_5_B-in10.txt').readline def main(): n = int(readline()) g = defaultdict(list) for _ in range(n - 1): s, t, d = map(int, readline().split()) g[s].append([d, t]) g[t].append([d, s]) dp = defaultdict(dict) for i in postorder(g, n): for di, ti in g[i]: dp[i][ti] = di candidate = [v for k, v in dp[ti].items() if k != i] if candidate: dp[i][ti] += max(candidate) height = [None] * n for i in preorder(g, n): import operator candidate = list(dp[i].items()) candidate.sort(key=operator.itemgetter(1)) height[i] = candidate[-1][1] if candidate else 0 for d, t in g[i]: dp[t][i] = d if 1 < len(candidate): k = -1 if candidate[-1][0] != t else -2 dp[t][i] += candidate[k][1] print('\n'.join(map(str, height))) def postorder(g, n): visited = set() for i in range(n): if i in visited: continue parent_stack = [] dfs_stack = [(i, None)] while dfs_stack: u, prev = dfs_stack.pop() visited |= {u} dfs_stack.extend((t, u) for d, t in g[u] if t != prev) while parent_stack and parent_stack[-1] != prev: yield parent_stack.pop() parent_stack.append(u) while parent_stack: yield parent_stack.pop() def preorder(g, n): visited = set() for i in range(n): if i in visited: continue dfs_stack = [(i, None)] while dfs_stack: u, prev = dfs_stack.pop() visited |= {u} yield(u) dfs_stack.extend((t, u) for d, t in g[u] if t != prev) main()
{ "input": [ "4\n0 1 2\n1 2 1\n1 3 3", "4\n0 2 2\n1 2 1\n1 3 3", "4\n0 1 2\n1 2 2\n1 3 3", "4\n0 1 2\n1 2 1\n2 3 3", "4\n0 1 2\n1 2 0\n1 3 3", "4\n0 2 2\n1 2 1\n2 3 3", "4\n0 1 2\n1 2 0\n0 3 3", "4\n0 1 0\n1 2 0\n1 3 3", "4\n0 1 2\n0 2 0\n0 3 3", "4\n0 1 2\n1 2 1\n1 3 0", "4\n0 2 2\n1 2 2\n1 3 3", "4\n0 2 1\n1 2 1\n2 3 3", "4\n0 2 1\n1 2 1\n2 3 2", "4\n0 2 1\n1 2 1\n2 3 0", "4\n0 2 2\n1 2 1\n0 3 3", "4\n0 1 2\n1 2 1\n0 3 3", "4\n0 2 4\n1 2 0\n0 3 3", "4\n0 2 2\n1 2 2\n2 3 3", "4\n0 1 1\n1 2 0\n2 3 3", "4\n0 2 2\n1 2 1\n2 3 2", "4\n0 2 1\n1 2 0\n2 3 0", "4\n0 1 2\n0 2 1\n0 3 3", "4\n0 2 2\n1 2 2\n2 3 4", "4\n0 1 1\n1 2 1\n2 3 0", "4\n0 2 1\n1 2 1\n1 3 2", "4\n0 1 1\n0 2 1\n0 3 3", "4\n0 1 4\n0 2 0\n0 3 3", "4\n0 2 2\n1 2 0\n2 3 4", "4\n0 1 1\n0 2 1\n2 3 0", "4\n0 2 1\n1 2 2\n1 3 2", "4\n0 1 1\n0 2 1\n0 3 2", "4\n0 1 2\n0 2 1\n1 3 3", "4\n0 1 4\n1 2 2\n1 3 3", "4\n0 1 4\n1 2 1\n2 3 3", "4\n0 3 2\n1 2 1\n2 3 3", "4\n0 2 3\n1 2 0\n0 3 3", "4\n0 2 3\n1 2 2\n2 3 3", "4\n0 1 2\n1 2 0\n2 3 2", "4\n0 1 1\n1 2 1\n2 3 1", "4\n0 1 1\n0 2 1\n0 3 6", "4\n0 2 2\n1 2 0\n2 3 7", "4\n0 1 1\n1 2 2\n2 3 0", "4\n0 2 1\n1 2 1\n1 3 0", "4\n0 1 7\n0 2 0\n0 3 3", "4\n0 2 4\n1 2 0\n2 3 4", "4\n0 1 1\n1 2 2\n1 3 2", "4\n0 1 1\n0 2 1\n0 3 0", "4\n0 1 4\n1 2 2\n1 3 2", "4\n0 1 4\n1 2 0\n2 3 3", "4\n0 3 2\n1 2 1\n2 3 5", "4\n0 2 3\n1 2 2\n0 3 3", "4\n0 2 0\n1 2 0\n2 3 7", "4\n0 3 3\n1 2 1\n2 3 5", "4\n0 1 1\n0 2 2\n2 3 2", "4\n0 1 1\n0 2 4\n2 3 2", "4\n0 2 2\n1 2 3\n2 3 3", "4\n0 1 8\n1 2 0\n0 3 3", "4\n0 2 2\n1 2 2\n2 3 8", "4\n0 1 0\n0 2 1\n1 3 3", "4\n0 1 4\n1 2 3\n1 3 3", "4\n0 3 3\n1 2 1\n2 3 3", "4\n0 2 3\n1 2 0\n0 3 6", "4\n0 2 3\n1 3 2\n2 3 3", "4\n0 1 2\n0 2 1\n0 3 6", "4\n0 1 7\n0 2 0\n1 3 3", "4\n0 1 1\n1 2 3\n1 3 2", "4\n0 3 2\n1 2 2\n2 3 5", "4\n0 1 2\n1 2 0\n2 3 0", "4\n0 1 1\n0 2 1\n2 3 2", "4\n1 2 1\n0 2 0\n2 3 3", "4\n0 2 2\n1 2 3\n2 3 5", "4\n0 1 8\n1 2 1\n0 3 3", "4\n0 2 2\n1 2 2\n2 3 12", "4\n0 2 0\n1 2 0\n1 3 0", "4\n0 2 2\n1 0 0\n2 3 2", "4\n0 2 4\n1 3 2\n2 3 3", "4\n0 1 2\n1 3 0\n2 3 4", "4\n0 1 2\n1 2 1\n0 3 6", "4\n0 1 1\n1 2 6\n1 3 2", "4\n1 2 1\n0 3 1\n2 3 3", "4\n0 2 0\n1 2 3\n2 3 5", "4\n0 1 8\n1 2 1\n0 3 1", "4\n0 2 2\n1 2 2\n2 3 21", "4\n0 1 0\n1 2 2\n1 3 3", "4\n0 2 4\n1 3 2\n2 3 4", "4\n0 1 3\n1 2 1\n0 3 6", "4\n0 2 0\n1 2 4\n2 3 5", "4\n0 1 8\n1 2 1\n1 3 1", "4\n0 2 2\n1 2 2\n2 3 31", "4\n0 1 5\n1 2 0\n0 3 8", "4\n0 2 2\n1 2 3\n2 3 31", "4\n0 2 4\n1 2 3\n2 3 31", "4\n0 2 4\n1 2 0\n2 3 31", "4\n0 2 4\n1 3 0\n2 3 31", "4\n0 2 4\n1 2 0\n2 3 6", "4\n0 2 3\n1 2 0\n1 3 6", "4\n0 2 3\n1 2 1\n2 3 6", "4\n0 2 3\n1 2 1\n2 3 9", "4\n0 2 3\n1 2 1\n2 3 14", "4\n0 2 3\n1 2 1\n1 3 14", "4\n0 2 2\n1 2 1\n1 3 14" ], "output": [ "5\n3\n4\n5", "6\n3\n4\n6\n", "5\n3\n5\n5\n", "6\n4\n3\n6\n", "5\n3\n3\n5\n", "5\n4\n3\n5\n", "3\n5\n5\n5\n", "3\n3\n3\n3\n", "3\n5\n3\n5\n", "3\n2\n3\n2\n", "7\n4\n5\n7\n", "4\n4\n3\n4\n", "3\n3\n2\n3\n", "2\n2\n1\n1\n", "3\n6\n5\n6\n", "3\n5\n6\n6\n", "4\n7\n7\n7\n", "5\n5\n3\n5\n", "4\n3\n3\n4\n", "4\n3\n2\n4\n", "1\n1\n1\n1\n", "3\n5\n4\n5\n", "6\n6\n4\n6\n", "2\n1\n2\n2\n", "4\n2\n3\n4\n", "3\n4\n4\n4\n", "4\n7\n4\n7\n", "6\n4\n4\n6\n", "1\n2\n2\n2\n", "5\n3\n4\n5\n", "2\n3\n3\n3\n", "5\n3\n6\n6\n", "7\n4\n6\n7\n", "8\n4\n5\n8\n", "6\n6\n5\n4\n", "3\n6\n6\n6\n", "6\n5\n3\n6\n", "4\n2\n2\n4\n", "3\n2\n2\n3\n", "6\n7\n7\n7\n", "9\n7\n7\n9\n", "3\n2\n3\n3\n", "2\n2\n1\n2\n", "7\n10\n7\n10\n", "8\n4\n4\n8\n", "3\n2\n4\n4\n", "1\n2\n2\n1\n", "6\n4\n6\n6\n", "7\n4\n4\n7\n", "8\n8\n7\n6\n", "5\n8\n6\n8\n", "7\n7\n7\n7\n", "9\n9\n8\n6\n", "4\n5\n3\n5\n", "6\n7\n5\n7\n", "5\n6\n3\n6\n", "8\n11\n11\n11\n", "10\n10\n8\n10\n", "3\n3\n4\n4\n", "7\n4\n7\n7\n", "7\n7\n6\n4\n", "6\n9\n9\n9\n", "8\n8\n5\n6\n", "6\n8\n7\n8\n", "10\n7\n10\n10\n", "4\n3\n5\n5\n", "9\n9\n7\n7\n", "2\n2\n2\n2\n", "3\n4\n2\n4\n", "3\n4\n3\n4\n", "7\n8\n5\n8\n", "9\n11\n12\n12\n", "14\n14\n12\n14\n", "0\n0\n0\n0\n", "4\n4\n2\n4\n", "9\n9\n5\n7\n", "6\n4\n6\n4\n", "6\n8\n9\n9\n", "7\n6\n8\n8\n", "5\n5\n4\n4\n", "5\n8\n5\n8\n", "9\n9\n10\n10\n", "23\n23\n21\n23\n", "3\n3\n5\n5\n", "10\n10\n6\n8\n", "6\n9\n10\n10\n", "5\n9\n5\n9\n", "9\n8\n9\n9\n", "33\n33\n31\n33\n", "8\n13\n13\n13\n", "33\n34\n31\n34\n", "35\n34\n31\n35\n", "35\n31\n31\n35\n", "35\n35\n31\n35\n", "10\n6\n6\n10\n", "9\n6\n6\n9\n", "9\n7\n6\n9\n", "12\n10\n9\n12\n", "17\n15\n14\n17\n", "18\n14\n15\n18\n", "17\n14\n15\n17\n" ] }
6AIZU
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 tn-1 wn-1 The first line consists of an integer n which represents the number of nodes in the tree. Every node has a unique ID from 0 to n-1 respectively. In the following n-1 lines, edges of the tree are given. si and ti represent end-points of the i-th edge (undirected) and wi represents the weight (distance) of the i-th edge. Output The output consists of n lines. Print the height of each node 0, 1, 2, ..., n-1 in order. Example Input 4 0 1 2 1 2 1 1 3 3 Output 5 3 4 5 ### Input: 4 0 1 2 1 2 1 1 3 3 ### Output: 5 3 4 5 ### Input: 4 0 2 2 1 2 1 1 3 3 ### Output: 6 3 4 6 ### Code: from sys import stdin from collections import defaultdict readline = stdin.readline #readline = open('GRL_5_B-in10.txt').readline def main(): n = int(readline()) g = defaultdict(list) for _ in range(n - 1): s, t, d = map(int, readline().split()) g[s].append([d, t]) g[t].append([d, s]) dp = defaultdict(dict) for i in postorder(g, n): for di, ti in g[i]: dp[i][ti] = di candidate = [v for k, v in dp[ti].items() if k != i] if candidate: dp[i][ti] += max(candidate) height = [None] * n for i in preorder(g, n): import operator candidate = list(dp[i].items()) candidate.sort(key=operator.itemgetter(1)) height[i] = candidate[-1][1] if candidate else 0 for d, t in g[i]: dp[t][i] = d if 1 < len(candidate): k = -1 if candidate[-1][0] != t else -2 dp[t][i] += candidate[k][1] print('\n'.join(map(str, height))) def postorder(g, n): visited = set() for i in range(n): if i in visited: continue parent_stack = [] dfs_stack = [(i, None)] while dfs_stack: u, prev = dfs_stack.pop() visited |= {u} dfs_stack.extend((t, u) for d, t in g[u] if t != prev) while parent_stack and parent_stack[-1] != prev: yield parent_stack.pop() parent_stack.append(u) while parent_stack: yield parent_stack.pop() def preorder(g, n): visited = set() for i in range(n): if i in visited: continue dfs_stack = [(i, None)] while dfs_stack: u, prev = dfs_stack.pop() visited |= {u} yield(u) dfs_stack.extend((t, u) for d, t in g[u] if t != prev) main()
1007_A. Reorder the Array_34822
You are given an array of integers. Vasya can permute (change order) its integers. He wants to do it so that as many as possible integers will become on a place where a smaller integer used to stand. Help Vasya find the maximal number of such integers. For instance, if we are given an array [10, 20, 30, 40], we can permute it so that it becomes [20, 40, 10, 30]. Then on the first and the second positions the integers became larger (20>10, 40>20) and did not on the third and the fourth, so for this permutation, the number that Vasya wants to maximize equals 2. Read the note for the first example, there is one more demonstrative test case. Help Vasya to permute integers in such way that the number of positions in a new array, where integers are greater than in the original one, is maximal. Input The first line contains a single integer n (1 ≤ n ≤ 10^5) — the length of the array. The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — the elements of the array. Output Print a single integer — the maximal number of the array's elements which after a permutation will stand on the position where a smaller element stood in the initial array. Examples Input 7 10 1 1 1 5 5 3 Output 4 Input 5 1 1 1 1 1 Output 0 Note In the first sample, one of the best permutations is [1, 5, 5, 3, 10, 1, 1]. On the positions from second to fifth the elements became larger, so the answer for this permutation is 4. In the second sample, there is no way to increase any element with a permutation, so the answer is 0.
n = int(input()) l = list(map(int,input().split())) l.sort() i = 0 c = 0 stack = [] k = 1 i = 0 while i < n-1 and k < n: stack.append(l[i]) if l[i] != l[i+1]: if k <= i: k = i+1 while k < n and len(stack): stack.pop() c = c + 1 k = k + 1 i = i + 1 print(c)
{ "input": [ "5\n1 1 1 1 1\n", "7\n10 1 1 1 5 5 3\n", "7\n3 5 2 2 5 2 4\n", "10\n1 2 3 4 5 6 7 8 9 10\n", "1\n1\n", "5\n1 5 4 2 3\n", "6\n300000000 200000000 300000000 200000000 1000000000 300000000\n", "7\n2 5 2 2 5 2 4\n", "10\n1 2 3 4 5 6 7 8 6 10\n", "1\n2\n", "6\n506233607 200000000 300000000 200000000 1000000000 300000000\n", "5\n2 1 1 1 1\n", "5\n1 5 1 2 1\n", "7\n1 5 3 2 5 2 4\n", "5\n1 5 1 2 3\n", "7\n10 1 1 1 5 8 3\n", "7\n2 5 3 2 5 2 4\n", "10\n1 2 3 2 5 6 7 8 6 10\n", "1\n4\n", "6\n144373768 200000000 300000000 200000000 1000000000 300000000\n", "7\n10 1 1 1 5 8 4\n", "10\n1 2 3 2 5 6 7 8 6 12\n", "1\n3\n", "5\n1 5 1 4 1\n", "6\n121827818 200000000 300000000 200000000 1000000000 300000000\n", "7\n10 1 1 1 3 8 4\n", "7\n1 1 3 2 5 2 4\n", "10\n1 2 3 2 5 6 7 7 6 12\n", "1\n5\n", "5\n1 5 2 4 1\n", "6\n121827818 99437370 300000000 200000000 1000000000 300000000\n", "7\n10 1 1 1 2 8 4\n", "7\n1 2 3 2 5 2 4\n", "10\n1 2 3 2 5 6 7 7 12 12\n", "1\n8\n", "6\n121827818 99437370 300000000 200000000 1001000000 300000000\n", "7\n10 1 1 1 2 15 4\n", "7\n1 2 3 2 6 2 4\n", "10\n1 2 3 2 5 6 7 7 13 12\n", "1\n7\n", "6\n121827818 99437370 300000000 200000000 1001000000 336277361\n", "7\n10 1 1 1 2 15 3\n", "7\n1 2 3 2 6 2 1\n", "10\n1 2 3 2 5 11 7 7 13 12\n", "6\n173573459 99437370 300000000 200000000 1001000000 336277361\n", "7\n16 1 1 1 2 15 3\n", "7\n1 2 5 2 6 2 1\n", "10\n1 2 3 2 5 11 3 7 13 12\n", "6\n173573459 99437370 300000000 200000000 1101000000 336277361\n", "7\n7 1 1 1 2 15 3\n", "6\n173573459 184963462 300000000 200000000 1101000000 336277361\n", "7\n7 1 1 1 2 15 4\n", "6\n103743702 184963462 300000000 200000000 1101000000 336277361\n", "7\n7 1 2 1 2 15 4\n", "6\n103743702 184963462 300000000 200000000 1001000000 336277361\n", "7\n7 1 2 1 2 15 3\n", "6\n87491669 184963462 300000000 200000000 1001000000 336277361\n", "7\n7 1 2 1 2 9 3\n", "6\n17501813 184963462 300000000 200000000 1001000000 336277361\n", "6\n17501813 184963462 300000000 54931522 1001000000 336277361\n", "6\n17501813 166597743 300000000 54931522 1001000000 336277361\n", "6\n28673576 166597743 300000000 54931522 1001000000 336277361\n", "6\n28673576 166597743 300000000 54931522 1001000100 336277361\n", "6\n28673576 166597743 300000000 54931522 1001000100 432699284\n", "6\n28673576 166597743 300000000 70339221 1001000100 432699284\n", "6\n28673576 166597743 300000000 70339221 1001010100 432699284\n", "6\n28673576 166597743 300000000 70339221 1001011100 432699284\n", "6\n28673576 166597743 300000000 34649135 1001011100 432699284\n", "6\n28673576 166597743 300000000 34649135 1101011100 432699284\n", "6\n28673576 53822790 300000000 34649135 1101011100 432699284\n", "6\n28673576 53822790 300000000 4375036 1101011100 432699284\n", "6\n28673576 37537648 300000000 4375036 1101011100 432699284\n", "6\n28673576 37537648 300000000 4375036 1100011100 432699284\n", "6\n28673576 37537648 70836383 4375036 1100011100 432699284\n", "6\n3873750 37537648 70836383 4375036 1100011100 432699284\n", "6\n3916355 37537648 70836383 4375036 1100011100 432699284\n", "6\n3916355 37537648 8266628 4375036 1100011100 432699284\n", "6\n3916355 37537648 8266628 4375036 1100010100 432699284\n", "6\n3916355 37537648 8266628 4375036 1100010110 432699284\n", "6\n3916355 37537648 8266628 4375036 1110010110 432699284\n", "6\n3916355 37537648 8266628 4305272 1110010110 432699284\n", "6\n3916355 37537648 8266628 4305272 1110010010 432699284\n", "6\n3916355 37537648 8266628 3387816 1110010010 432699284\n", "6\n3916355 37537648 8266628 3387816 1110010010 700875924\n", "6\n2720608 37537648 8266628 3387816 1110010010 700875924\n", "6\n2720608 22647600 8266628 3387816 1110010010 700875924\n", "6\n2720608 22647600 8266628 6689071 1110010010 700875924\n", "6\n2720608 29095369 8266628 6689071 1110010010 700875924\n", "6\n2720608 29095369 8266628 9652852 1110010010 700875924\n", "6\n2720608 29095369 8266628 11518135 1110010010 700875924\n", "6\n2720608 36445676 8266628 11518135 1110010010 700875924\n", "6\n2574807 36445676 8266628 11518135 1110010010 700875924\n", "6\n2574807 36445676 8266628 2550833 1110010010 700875924\n", "6\n2574807 36445676 8266628 2550833 1110011010 700875924\n", "6\n2574807 36445676 8266628 2129417 1110011010 700875924\n", "6\n2574807 36445676 2052675 2129417 1110011010 700875924\n", "6\n2574807 36445676 2052675 3813974 1110011010 700875924\n", "6\n2574807 36445676 2052675 3813974 1110011010 81184288\n", "6\n2574807 61015208 2052675 3813974 1110011010 81184288\n" ], "output": [ "0\n", "4\n", "4\n", "9\n", "0\n", "4\n", "3\n", "3\n", "8\n", "0\n", "4\n", "1\n", "2\n", "5\n", "3\n", "4\n", "4\n", "8\n", "0\n", "4\n", "4\n", "8\n", "0\n", "2\n", "4\n", "4\n", "5\n", "8\n", "0\n", "3\n", "4\n", "4\n", "4\n", "8\n", "0\n", "4\n", "4\n", "4\n", "8\n", "0\n", "5\n", "4\n", "4\n", "8\n", "5\n", "4\n", "4\n", "8\n", "5\n", "4\n", "5\n", "4\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n", "5\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given an array of integers. Vasya can permute (change order) its integers. He wants to do it so that as many as possible integers will become on a place where a smaller integer used to stand. Help Vasya find the maximal number of such integers. For instance, if we are given an array [10, 20, 30, 40], we can permute it so that it becomes [20, 40, 10, 30]. Then on the first and the second positions the integers became larger (20>10, 40>20) and did not on the third and the fourth, so for this permutation, the number that Vasya wants to maximize equals 2. Read the note for the first example, there is one more demonstrative test case. Help Vasya to permute integers in such way that the number of positions in a new array, where integers are greater than in the original one, is maximal. Input The first line contains a single integer n (1 ≤ n ≤ 10^5) — the length of the array. The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — the elements of the array. Output Print a single integer — the maximal number of the array's elements which after a permutation will stand on the position where a smaller element stood in the initial array. Examples Input 7 10 1 1 1 5 5 3 Output 4 Input 5 1 1 1 1 1 Output 0 Note In the first sample, one of the best permutations is [1, 5, 5, 3, 10, 1, 1]. On the positions from second to fifth the elements became larger, so the answer for this permutation is 4. In the second sample, there is no way to increase any element with a permutation, so the answer is 0. ### Input: 5 1 1 1 1 1 ### Output: 0 ### Input: 7 10 1 1 1 5 5 3 ### Output: 4 ### Code: n = int(input()) l = list(map(int,input().split())) l.sort() i = 0 c = 0 stack = [] k = 1 i = 0 while i < n-1 and k < n: stack.append(l[i]) if l[i] != l[i+1]: if k <= i: k = i+1 while k < n and len(stack): stack.pop() c = c + 1 k = k + 1 i = i + 1 print(c)
1030_A. In Search of an Easy Problem_34826
When preparing a tournament, Codeforces coordinators try treir best to make the first problem as easy as possible. This time the coordinator had chosen some problem and asked n people about their opinions. Each person answered whether this problem is easy or hard. If at least one of these n people has answered that the problem is hard, the coordinator decides to change the problem. For the given responses, check if the problem is easy enough. Input The first line contains a single integer n (1 ≤ n ≤ 100) — the number of people who were asked to give their opinions. The second line contains n integers, each integer is either 0 or 1. If i-th integer is 0, then i-th person thinks that the problem is easy; if it is 1, then i-th person thinks that the problem is hard. Output Print one word: "EASY" if the problem is easy according to all responses, or "HARD" if there is at least one person who thinks the problem is hard. You may print every letter in any register: "EASY", "easy", "EaSY" and "eAsY" all will be processed correctly. Examples Input 3 0 0 1 Output HARD Input 1 0 Output EASY Note In the first example the third person says it's a hard problem, so it should be replaced. In the second example the problem easy for the only person, so it doesn't have to be replaced.
n = int(input()) str = input() difficulty = [] difficulty = str.split() flag = 1 for i in difficulty: if i == '1': print("HARD") flag = 0 break if(flag ==1): print("EASY") ''' 3 0 0 1 HARD 1 0 EASY '''
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0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0\n", "100\n1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0\n", "100\n0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0\n", "100\n0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1\n", "100\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1\n" ], "output": [ "EASY\n", "HARD\n", "EASY\n", "EASY\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "EASY\n", "HARD\n", "HARD\n", "HARD\n", "EASY\n", "EASY\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n", "HARD\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: When preparing a tournament, Codeforces coordinators try treir best to make the first problem as easy as possible. This time the coordinator had chosen some problem and asked n people about their opinions. Each person answered whether this problem is easy or hard. If at least one of these n people has answered that the problem is hard, the coordinator decides to change the problem. For the given responses, check if the problem is easy enough. Input The first line contains a single integer n (1 ≤ n ≤ 100) — the number of people who were asked to give their opinions. The second line contains n integers, each integer is either 0 or 1. If i-th integer is 0, then i-th person thinks that the problem is easy; if it is 1, then i-th person thinks that the problem is hard. Output Print one word: "EASY" if the problem is easy according to all responses, or "HARD" if there is at least one person who thinks the problem is hard. You may print every letter in any register: "EASY", "easy", "EaSY" and "eAsY" all will be processed correctly. Examples Input 3 0 0 1 Output HARD Input 1 0 Output EASY Note In the first example the third person says it's a hard problem, so it should be replaced. In the second example the problem easy for the only person, so it doesn't have to be replaced. ### Input: 1 0 ### Output: EASY ### Input: 3 0 0 1 ### Output: HARD ### Code: n = int(input()) str = input() difficulty = [] difficulty = str.split() flag = 1 for i in difficulty: if i == '1': print("HARD") flag = 0 break if(flag ==1): print("EASY") ''' 3 0 0 1 HARD 1 0 EASY '''
1096_A. Find Divisible_34834
You are given a range of positive integers from l to r. Find such a pair of integers (x, y) that l ≤ x, y ≤ r, x ≠ y and x divides y. If there are multiple answers, print any of them. You are also asked to answer T independent queries. Input The first line contains a single integer T (1 ≤ T ≤ 1000) — the number of queries. Each of the next T lines contains two integers l and r (1 ≤ l ≤ r ≤ 998244353) — inclusive borders of the range. It is guaranteed that testset only includes queries, which have at least one suitable pair. Output Print T lines, each line should contain the answer — two integers x and y such that l ≤ x, y ≤ r, x ≠ y and x divides y. The answer in the i-th line should correspond to the i-th query from the input. If there are multiple answers, print any of them. Example Input 3 1 10 3 14 1 10 Output 1 7 3 9 5 10
for _ in range(int(input())): l, r = map(int, input().split()) for i in range(l,r+1): k = r//i if k>1: print(i, i*2) break
{ "input": [ "3\n1 10\n3 14\n1 10\n", "1\n69696969 998244353\n", "1\n696969 100000000\n", "3\n6969 696969\n6969 696969\n6969 696969\n", "3\n1 10\n3 14\n1 10\n", "1\n81363505 998244353\n", "1\n1163931 100000000\n", "3\n6969 696969\n6969 49805\n6969 696969\n", "3\n1 10\n5 14\n1 10\n", "3\n6969 696969\n11103 49805\n6969 696969\n", "1\n7704829 866219060\n", "1\n1845822 100000001\n", "1\n7558577 866219060\n", "1\n1733527 100000001\n", "1\n1010740 866219060\n", "1\n1398167 100000001\n", "3\n9989 359575\n11103 49805\n6969 253442\n", "3\n1 10\n9 20\n1 14\n", "1\n59969 100000000\n", "1\n16318 100000000\n", "3\n6787 359575\n11103 49805\n6969 465579\n", "1\n828412 159809533\n", "1\n12317 100000000\n", "3\n6787 359575\n11103 49805\n8970 465579\n", "1\n1438338 159809533\n", "3\n6787 359575\n11103 49805\n9002 465579\n", "1\n12573 100000100\n", "1\n23454 100000100\n", "1\n674047 215806909\n", "1\n989011 217495713\n", "1\n1457200 217495713\n", "1\n939888 217495713\n", "1\n1678759 217495713\n", "1\n3010806 96605195\n", "1\n2502823 142932041\n", "1\n2303840 61203776\n", "1\n1152380 61203776\n", "1\n1402642 5864612\n", "1\n1146808 5864612\n", "1\n1493172 5864612\n", "1\n1149162 5864612\n", "1\n69696969 315955949\n", "1\n913012 100000000\n", "3\n1 10\n3 10\n1 10\n", "1\n736842 100000000\n", "1\n126188 100000001\n", "3\n4712 696969\n11103 49805\n6969 696969\n", "1\n580446 100000001\n", "3\n6969 359575\n11103 49805\n5557 253442\n", "1\n1350106 100000001\n", "3\n9989 359575\n16016 49805\n6969 253442\n", "1\n1551889 526828574\n", "1\n557471 100000000\n", "1\n1069855 878312139\n", "1\n14441 100000000\n", "3\n9989 359575\n11103 49805\n3152 465579\n", "1\n860538 159809533\n", "1\n90249 159809533\n", "1\n16537 100000100\n", "1\n746 100000100\n", "1\n2207982 252837254\n", "3\n6787 359575\n11690 36945\n9002 210271\n", "1\n81363505 866219060\n", "1\n1163931 100000001\n", "3\n1 10\n5 14\n1 15\n", "3\n6969 696969\n11103 49805\n6969 253442\n", "3\n1 10\n5 14\n1 14\n", "3\n6969 359575\n11103 49805\n6969 253442\n", "3\n1 10\n5 20\n1 14\n", "1\n1010740 526828574\n", "1\n1398167 100000000\n", "3\n9989 359575\n11103 49805\n6969 364508\n", "1\n1010740 878312139\n", "3\n9989 359575\n11103 49805\n6969 465579\n", "1\n1010740 159809533\n", "1\n12317 100000100\n", "1\n1438338 183150856\n", "3\n6787 359575\n11103 36945\n9002 465579\n", "1\n1438338 348788045\n", "3\n6787 359575\n11103 36945\n9002 309365\n", "1\n1438338 252837254\n", "1\n23454 100001100\n", "3\n6787 359575\n11103 36945\n9002 210271\n", "1\n1438338 215806909\n", "3\n6787 359575\n11103 36945\n9002 314905\n", "1\n674047 217495713\n", "1\n1678759 96605195\n", "1\n3010806 142932041\n", "1\n2502823 61203776\n", "1\n1152380 48676344\n", "1\n1152380 38525820\n", "1\n1152380 39392541\n", "1\n1152380 5864612\n", "1\n1149162 2729117\n", "3\n6969 696969\n6969 680932\n6969 696969\n", "3\n1 14\n3 14\n1 10\n", "1\n81363505 651343322\n", "3\n6969 696969\n6969 51641\n6969 696969\n", "1\n81363505 181905356\n", "3\n1 10\n5 13\n1 15\n", "1\n7704829 139752245\n", "3\n6969 696969\n11103 49805\n6969 72631\n", "3\n1 12\n5 14\n1 14\n", "1\n7558577 1134050626\n", "1\n1733527 101000001\n" ], "output": [ "1 2\n3 6\n1 2\n", "69696969 139393938\n", "696969 1393938\n", "6969 13938\n6969 13938\n6969 13938\n", "1 2\n3 6\n1 2\n", "81363505 162727010\n", "1163931 2327862\n", "6969 13938\n6969 13938\n6969 13938\n", "1 2\n5 10\n1 2\n", "6969 13938\n11103 22206\n6969 13938\n", "7704829 15409658\n", "1845822 3691644\n", "7558577 15117154\n", "1733527 3467054\n", "1010740 2021480\n", "1398167 2796334\n", "9989 19978\n11103 22206\n6969 13938\n", "1 2\n9 18\n1 2\n", "59969 119938\n", "16318 32636\n", "6787 13574\n11103 22206\n6969 13938\n", "828412 1656824\n", "12317 24634\n", "6787 13574\n11103 22206\n8970 17940\n", "1438338 2876676\n", "6787 13574\n11103 22206\n9002 18004\n", "12573 25146\n", "23454 46908\n", "674047 1348094\n", "989011 1978022\n", "1457200 2914400\n", "939888 1879776\n", "1678759 3357518\n", "3010806 6021612\n", "2502823 5005646\n", "2303840 4607680\n", "1152380 2304760\n", "1402642 2805284\n", "1146808 2293616\n", "1493172 2986344\n", "1149162 2298324\n", "69696969 139393938\n", "913012 1826024\n", "1 2\n3 6\n1 2\n", "736842 1473684\n", "126188 252376\n", "4712 9424\n11103 22206\n6969 13938\n", "580446 1160892\n", "6969 13938\n11103 22206\n5557 11114\n", "1350106 2700212\n", "9989 19978\n16016 32032\n6969 13938\n", "1551889 3103778\n", "557471 1114942\n", "1069855 2139710\n", "14441 28882\n", "9989 19978\n11103 22206\n3152 6304\n", "860538 1721076\n", "90249 180498\n", "16537 33074\n", "746 1492\n", "2207982 4415964\n", "6787 13574\n11690 23380\n9002 18004\n", "81363505 162727010\n", "1163931 2327862\n", "1 2\n5 10\n1 2\n", "6969 13938\n11103 22206\n6969 13938\n", "1 2\n5 10\n1 2\n", "6969 13938\n11103 22206\n6969 13938\n", "1 2\n5 10\n1 2\n", "1010740 2021480\n", "1398167 2796334\n", "9989 19978\n11103 22206\n6969 13938\n", "1010740 2021480\n", "9989 19978\n11103 22206\n6969 13938\n", "1010740 2021480\n", "12317 24634\n", "1438338 2876676\n", "6787 13574\n11103 22206\n9002 18004\n", "1438338 2876676\n", "6787 13574\n11103 22206\n9002 18004\n", "1438338 2876676\n", "23454 46908\n", "6787 13574\n11103 22206\n9002 18004\n", "1438338 2876676\n", "6787 13574\n11103 22206\n9002 18004\n", "674047 1348094\n", "1678759 3357518\n", "3010806 6021612\n", "2502823 5005646\n", "1152380 2304760\n", "1152380 2304760\n", "1152380 2304760\n", "1152380 2304760\n", "1149162 2298324\n", "6969 13938\n6969 13938\n6969 13938\n", "1 2\n3 6\n1 2\n", "81363505 162727010\n", "6969 13938\n6969 13938\n6969 13938\n", "81363505 162727010\n", "1 2\n5 10\n1 2\n", "7704829 15409658\n", "6969 13938\n11103 22206\n6969 13938\n", "1 2\n5 10\n1 2\n", "7558577 15117154\n", "1733527 3467054\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given a range of positive integers from l to r. Find such a pair of integers (x, y) that l ≤ x, y ≤ r, x ≠ y and x divides y. If there are multiple answers, print any of them. You are also asked to answer T independent queries. Input The first line contains a single integer T (1 ≤ T ≤ 1000) — the number of queries. Each of the next T lines contains two integers l and r (1 ≤ l ≤ r ≤ 998244353) — inclusive borders of the range. It is guaranteed that testset only includes queries, which have at least one suitable pair. Output Print T lines, each line should contain the answer — two integers x and y such that l ≤ x, y ≤ r, x ≠ y and x divides y. The answer in the i-th line should correspond to the i-th query from the input. If there are multiple answers, print any of them. Example Input 3 1 10 3 14 1 10 Output 1 7 3 9 5 10 ### Input: 3 1 10 3 14 1 10 ### Output: 1 2 3 6 1 2 ### Input: 1 69696969 998244353 ### Output: 69696969 139393938 ### Code: for _ in range(int(input())): l, r = map(int, input().split()) for i in range(l,r+1): k = r//i if k>1: print(i, i*2) break
1117_B. Emotes_34838
There are n emotes in very popular digital collectible card game (the game is pretty famous so we won't say its name). The i-th emote increases the opponent's happiness by a_i units (we all know that emotes in this game are used to make opponents happy). You have time to use some emotes only m times. You are allowed to use any emotion once, more than once, or not use it at all. The only restriction is that you cannot use the same emote more than k times in a row (otherwise the opponent will think that you're trolling him). Note that two emotes i and j (i ≠ j) such that a_i = a_j are considered different. You have to make your opponent as happy as possible. Find the maximum possible opponent's happiness. Input The first line of the input contains three integers n, m and k (2 ≤ n ≤ 2 ⋅ 10^5, 1 ≤ k ≤ m ≤ 2 ⋅ 10^9) — the number of emotes, the number of times you can use emotes and the maximum number of times you may use the same emote in a row. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is value of the happiness of the i-th emote. Output Print one integer — the maximum opponent's happiness if you use emotes in a way satisfying the problem statement. Examples Input 6 9 2 1 3 3 7 4 2 Output 54 Input 3 1000000000 1 1000000000 987654321 1000000000 Output 1000000000000000000 Note In the first example you may use emotes in the following sequence: 4, 4, 5, 4, 4, 5, 4, 4, 5.
n,m,k=map(int,input().split()) a=list(map(int,input().split())) c=0 a.sort() q=a[n-1] w=a[n-2] r=k*q+w u=m//(k+1) c=u*r+q*(m-(u*(k+1))) print(c)
{ "input": [ "3 1000000000 1\n1000000000 987654321 1000000000\n", "6 9 2\n1 3 3 7 4 2\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n1 5 5 5 5 5\n", "2 2 1\n2 1\n", "2 7 2\n6 7\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n1 5 2 5 5 5\n", "3 1000000000 2\n1000000000 987654321 1000000000\n", "6 13 2\n1 3 3 7 4 2\n", "3 1000000000 2\n1000000100 987654321 1000000000\n", "3 1000000000 4\n1000000100 987654321 1000000000\n", "3 1001000000 4\n1000000100 987654321 1000000000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 1001000000 4\n1000000100 987654321 0000000000\n", "3 1001000000 4\n1000000100 412414462 0000000000\n", "6 9 2\n3 5 1 1 6 5\n", "3 0001000000 4\n1000000100 412414462 0000010000\n", "3 0001000000 4\n1000000100 532219765 0000010000\n", "69 8 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 0001000000 4\n1000000101 532219765 0000010000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 82 67 68 69 70\n", "6 12 2\n1 5 5 5 5 5\n", "2 2 1\n1 1\n", "2 7 2\n8 7\n", "6 6 2\n1 5 2 5 5 5\n", "3 1000000000 2\n1000000100 987654321 1000100000\n", "6 2 2\n2 5 2 3 5 5\n", "3 1000000000 8\n1000000100 987654321 1000000000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 131 68 69 70\n", "3 1001000000 4\n1000100100 987654321 1000000000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 93 62 63 64 65 66 67 68 69 70\n", "3 1001000000 4\n1000000100 794506727 0000000000\n", "6 9 2\n3 5 1 1 6 9\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 83 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n3 5 1 0 7 5\n", "3 0001000000 3\n1000000100 412414462 0000010000\n", "3 0001000000 4\n1000000100 978218874 0000010000\n", "3 0001000010 4\n1000000101 532219765 0000010000\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 10 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 113 68 69 70\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 137 67 68 69 70\n", "2 7 2\n9 7\n", "6 13 1\n0 3 3 7 4 2\n", "3 1001000000 2\n1000000100 987654321 1000100000\n", "3 1000000000 8\n1000000100 987654321 0000000000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 115 66 131 68 69 70\n", "3 0001000100 3\n1000000100 412414462 0000010000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 42 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 78 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 0001000000 2\n1000000100 978218874 0000010000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n2 5 2 5 5 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n2 5 2 3 5 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n2 5 1 3 5 5\n", "6 9 2\n3 5 1 3 5 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n3 5 1 1 5 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 1001000000 4\n1000000100 412414462 0000010000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n3 5 1 0 6 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 10 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 24 13 10 15 16 23 18 19 20 3 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 10 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 24 13 10 25 16 23 18 19 20 3 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 10 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 1000000000 0\n1000000000 987654321 1000000000\n", "6 9 4\n1 3 3 7 4 2\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 33 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 13 2\n0 3 3 7 4 2\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 62 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 0 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 9 2\n0 5 1 3 5 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 92 48 17 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 1001000000 4\n1000000100 987654321 0000000010\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 4 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 1001000000 4\n1000000100 412414462 0000011000\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 42 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 23 18 19 13 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 6 7 8 9 15 11 24 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 25 13 10 15 16 23 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 9 10 11 24 13 10 15 16 23 18 19 20 3 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 10 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 69 67 68 69 70\n", "69 8 3\n2 3 4 5 0 7 8 15 10 11 24 13 10 25 16 23 18 19 20 3 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 10 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 12 1\n1 5 5 5 5 5\n", "2 2 2\n1 1\n", "6 9 4\n1 3 3 7 4 1\n", "69 10 2\n2 3 7 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 33 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 6 0\n1 5 2 5 5 5\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 62 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 9 31 32 33 34 35 36 37 38 39 40 41 42 0 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 5 34 35 36 37 38 39 40 41 42 43 44 45 46 92 48 17 50 51 3 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 17 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 55 56 57 58 59 60 93 62 63 64 65 66 67 68 69 70\n", "69 10 2\n2 3 4 5 6 7 8 9 10 11 24 13 10 15 16 17 36 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 39 40 41 42 43 44 45 46 92 48 49 50 51 4 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "3 1001000000 4\n1000000100 412414462 0000011010\n", "69 10 2\n2 3 4 5 6 7 8 9 10 12 24 13 10 15 16 17 18 19 20 21 22 23 24 25 26 8 28 46 30 31 32 33 34 8 36 37 38 58 40 41 42 43 44 45 46 92 48 49 50 51 3 53 54 83 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70\n", "6 7 2\n3 5 1 0 7 5\n" ], "output": [ "1000000000000000000\n", "54\n", "697\n", "45\n", "3\n", "47\n", "697\n", "45\n", "1000000000000000000\n", "79\n", "1000000066666666700\n", "1000000080000000000\n", "1001000080080000000\n", "854\n", "998528475144200000\n", "883365455372400000\n", "51\n", "882482972400000\n", "906444033000000\n", "692\n", "906444033800000\n", "784\n", "60\n", "2\n", "54\n", "30\n", "1000066700000033300\n", "10\n", "1000000088888888900\n", "1127\n", "1001080160080000000\n", "927\n", "959860326825400000\n", "72\n", "893\n", "57\n", "853103690500000\n", "995643854800000\n", "906453098240338\n", "862\n", "1169\n", "59\n", "73\n", "1001066766700066600\n", "998628346779149531\n", "1262\n", "853189000869050\n", "878\n", "992739698593742\n", "697\n", "45\n", "697\n", "45\n", "697\n", "45\n", "45\n", "854\n", "45\n", "854\n", "883365455372400000\n", "854\n", "51\n", "854\n", "692\n", "692\n", "692\n", "692\n", "692\n", "1000000000000000000\n", "60\n", "697\n", "79\n", "697\n", "697\n", "45\n", "854\n", "998528475144200000\n", "854\n", "883365455372400000\n", "854\n", "692\n", "692\n", "692\n", "692\n", "692\n", "60\n", "2\n", "60\n", "697\n", "30\n", "697\n", "697\n", "854\n", "927\n", "854\n", "883365455372400000\n", "893\n", "45\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: There are n emotes in very popular digital collectible card game (the game is pretty famous so we won't say its name). The i-th emote increases the opponent's happiness by a_i units (we all know that emotes in this game are used to make opponents happy). You have time to use some emotes only m times. You are allowed to use any emotion once, more than once, or not use it at all. The only restriction is that you cannot use the same emote more than k times in a row (otherwise the opponent will think that you're trolling him). Note that two emotes i and j (i ≠ j) such that a_i = a_j are considered different. You have to make your opponent as happy as possible. Find the maximum possible opponent's happiness. Input The first line of the input contains three integers n, m and k (2 ≤ n ≤ 2 ⋅ 10^5, 1 ≤ k ≤ m ≤ 2 ⋅ 10^9) — the number of emotes, the number of times you can use emotes and the maximum number of times you may use the same emote in a row. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is value of the happiness of the i-th emote. Output Print one integer — the maximum opponent's happiness if you use emotes in a way satisfying the problem statement. Examples Input 6 9 2 1 3 3 7 4 2 Output 54 Input 3 1000000000 1 1000000000 987654321 1000000000 Output 1000000000000000000 Note In the first example you may use emotes in the following sequence: 4, 4, 5, 4, 4, 5, 4, 4, 5. ### Input: 3 1000000000 1 1000000000 987654321 1000000000 ### Output: 1000000000000000000 ### Input: 6 9 2 1 3 3 7 4 2 ### Output: 54 ### Code: n,m,k=map(int,input().split()) a=list(map(int,input().split())) c=0 a.sort() q=a[n-1] w=a[n-2] r=k*q+w u=m//(k+1) c=u*r+q*(m-(u*(k+1))) print(c)
1143_D. The Beatles_34842
Recently a Golden Circle of Beetlovers was found in Byteland. It is a circle route going through n ⋅ k cities. The cities are numerated from 1 to n ⋅ k, the distance between the neighboring cities is exactly 1 km. Sergey does not like beetles, he loves burgers. Fortunately for him, there are n fast food restaurants on the circle, they are located in the 1-st, the (k + 1)-st, the (2k + 1)-st, and so on, the ((n-1)k + 1)-st cities, i.e. the distance between the neighboring cities with fast food restaurants is k km. Sergey began his journey at some city s and traveled along the circle, making stops at cities each l km (l > 0), until he stopped in s once again. Sergey then forgot numbers s and l, but he remembers that the distance from the city s to the nearest fast food restaurant was a km, and the distance from the city he stopped at after traveling the first l km from s to the nearest fast food restaurant was b km. Sergey always traveled in the same direction along the circle, but when he calculated distances to the restaurants, he considered both directions. Now Sergey is interested in two integers. The first integer x is the minimum number of stops (excluding the first) Sergey could have done before returning to s. The second integer y is the maximum number of stops (excluding the first) Sergey could have done before returning to s. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100 000) — the number of fast food restaurants on the circle and the distance between the neighboring restaurants, respectively. The second line contains two integers a and b (0 ≤ a, b ≤ k/2) — the distances to the nearest fast food restaurants from the initial city and from the city Sergey made the first stop at, respectively. Output Print the two integers x and y. Examples Input 2 3 1 1 Output 1 6 Input 3 2 0 0 Output 1 3 Input 1 10 5 3 Output 5 5 Note In the first example the restaurants are located in the cities 1 and 4, the initial city s could be 2, 3, 5, or 6. The next city Sergey stopped at could also be at cities 2, 3, 5, 6. Let's loop through all possible combinations of these cities. If both s and the city of the first stop are at the city 2 (for example, l = 6), then Sergey is at s after the first stop already, so x = 1. In other pairs Sergey needs 1, 2, 3, or 6 stops to return to s, so y = 6. In the second example Sergey was at cities with fast food restaurant both initially and after the first stop, so l is 2, 4, or 6. Thus x = 1, y = 3. In the third example there is only one restaurant, so the possible locations of s and the first stop are: (6, 8) and (6, 4). For the first option l = 2, for the second l = 8. In both cases Sergey needs x=y=5 stops to go to s.
"""This code was written by Russell Emerine - linguist, mathematician, coder, musician, and metalhead.""" from math import gcd n, k = map(int, input().split()) a, b = map(int, input().split()) lll = [a + b, abs(a - b), k - a - b, k - abs(a - b)] x, y = n * k, 0 for ll in lll: for i in range(n): l = ll + i * k c = n * k // gcd(l, n * k) if c < x: x = c if c > y: y = c print(x, y)
{ "input": [ "1 10\n5 3\n", "3 2\n0 0\n", "2 3\n1 1\n", "100000 99737\n34242 43667\n", "10 99990\n3 7\n", "23981 21841\n10376 10637\n", "3 3\n1 0\n", "2 98763\n10021 19979\n", "99079 99053\n49479 49521\n", "4 3\n1 1\n", "89527 91159\n44571 44990\n", "806 654\n118 76\n", "2 1\n0 0\n", "16127 18181\n6581 2408\n", "1 100\n0 0\n", "14621 29242\n7 13\n", "147 149\n74 33\n", "36739 36739\n18369 18369\n", "97979 85648\n41517 20663\n", "100000 100\n21 29\n", "39 17\n8 5\n", "96557 4\n0 2\n", "6 3\n1 1\n", "99871 99873\n2979 17955\n", "3 10\n1 3\n", "21013 45013\n693 307\n", "65536 32768\n6427 13573\n", "5 5\n2 2\n", "96557 28657\n2964 7036\n", "99873 99876\n24862 13862\n", "99999 23782\n0 0\n", "100000 100000\n50000 50000\n", "99871 99877\n5273 34727\n", "95911 95917\n47946 47954\n", "100000 100000\n10 1\n", "98752 97209\n41218 39020\n", "100000 100000\n0 1\n", "9 99990\n3 7\n", "23981 23883\n10376 10637\n", "2 98763\n7053 19979\n", "4 3\n1 0\n", "806 415\n118 76\n", "1 1\n0 0\n", "27354 18181\n6581 2408\n", "14621 29242\n7 11\n", "147 149\n74 31\n", "69074 36739\n18369 18369\n", "97979 85648\n41517 17259\n", "100010 100\n21 29\n", "50 17\n8 5\n", "96557 4\n0 0\n", "6 3\n0 1\n", "40362 99873\n2979 17955\n", "3 20\n1 3\n", "28016 45013\n693 307\n", "10 5\n2 2\n", "96557 28657\n2964 2163\n", "72628 99876\n24862 13862\n", "99871 99877\n10216 34727\n", "1 10\n3 3\n", "3 4\n0 0\n", "2 3\n1 0\n", "9 17130\n3 7\n", "2 98763\n7053 32787\n", "806 415\n199 76\n", "55 149\n74 31\n", "69074 36739\n18369 13138\n", "65370 85648\n41517 17259\n", "100010 110\n21 29\n", "5 17\n8 5\n", "6 3\n0 0\n", "40362 99873\n2979 33126\n", "6 20\n1 3\n", "10 5\n1 2\n", "55727 28657\n2964 2163\n", "72628 99876\n16721 13862\n", "1 20\n3 3\n", "9 17130\n3 10\n", "3431 29242\n1 11\n", "110010 110\n21 29\n", "40362 99873\n3246 33126\n", "6 8\n1 3\n", "19022 45013\n868 307\n", "10 6\n1 2\n", "72628 99876\n7203 13862\n", "1 38\n3 3\n", "9 17130\n1 10\n", "2 98763\n7053 8390\n", "4329 29242\n1 11\n", "110010 110\n21 52\n", "6 9\n1 3\n", "14631 45013\n868 307\n", "10 6\n2 2\n", "22605 28657\n1078 2163\n", "72628 99876\n18 13862\n", "1 40\n3 3\n", "8 6\n0 0\n", "9 24595\n1 10\n", "2 196637\n7053 8390\n", "4329 29242\n2 11\n", "66148 99873\n1323 33126\n", "14631 9187\n868 307\n", "110853 99876\n18 13862\n", "9 24595\n1 9\n", "3 196637\n7053 8390\n", "66148 99873\n1230 33126\n", "4 24595\n1 9\n", "3 196637\n11178 8390\n", "4329 43615\n2 6\n", "13806 9187\n868 344\n", "22605 49381\n1556 3965\n", "8 24595\n1 9\n", "5166 43615\n2 6\n", "13806 7837\n868 344\n", "22605 49381\n1556 4068\n", "8 24595\n0 9\n", "23981 23883\n6415 10637\n", "27354 18181\n6581 2325\n", "14621 29242\n1 11\n", "28016 45013\n868 307\n", "3 6\n0 0\n", "2 98763\n7053 7972\n", "27354 18181\n6581 4048\n", "55 149\n74 45\n", "55727 28657\n1078 2163\n", "6 6\n0 0\n", "27354 18181\n6581 4697\n", "55 149\n74 55\n", "40362 99873\n1323 33126\n", "55 149\n74 35\n", "6 9\n2 3\n", "22605 28657\n1078 3965\n", "4329 29242\n2 6\n", "14631 9187\n868 344\n", "22605 28657\n1556 3965\n", "3 196637\n11178 8466\n" ], "output": [ "5 5\n", "1 3\n", "1 6\n", "99737 9973700000\n", "9999 499950\n", "21841 523769021\n", "9 9\n", "32921 197526\n", "99053 9814072187\n", "1 12\n", "91159 8161191793\n", "109 263562\n", "1 2\n", "18181 293204987\n", "1 1\n", "213773641 213773641\n", "149 21903\n", "1 1349754121\n", "21412 4195852696\n", "64 2500000\n", "17 663\n", "2 193114\n", "1 18\n", "11097 1108268487\n", "5 15\n", "45013 945858169\n", "67108864 1073741824\n", "1 25\n", "28657 2767033949\n", "1189 2493728937\n", "1 99999\n", "1 100000\n", "99877 9974815867\n", "95917 9199495387\n", "10000000000 10000000000\n", "21427641 3199861056\n", "10000000000 10000000000\n", "89991 449955\n", "7961 572738223\n", "98763 197526\n", "3 12\n", "415 334490\n", "1 1\n", "18181 497323074\n", "213773641 213773641\n", "149 21903\n", "1 2537709686\n", "10706 4195852696\n", "4 2500250\n", "17 850\n", "1 96557\n", "9 18\n", "33291 447897114\n", "5 30\n", "45013 1261084208\n", "1 50\n", "28657 2767033949\n", "1189 1813448532\n", "99877 9974815867\n", "1 5\n", "1 3\n", "3 6\n", "15417 77085\n", "32921 65842\n", "83 334490\n", "149 8195\n", "36739 2537709686\n", "21412 2799404880\n", "11 5500550\n", "17 85\n", "1 6\n", "99873 1343691342\n", "5 60\n", "25 50\n", "28657 1596968639\n", "57072 2417931376\n", "1 10\n", "154170 154170\n", "14621 50164651\n", "11 6050550\n", "33291 1343691342\n", "4 24\n", "45013 856237286\n", "4 60\n", "399504 7253794128\n", "1 19\n", "5710 154170\n", "14109 197526\n", "14621 63294309\n", "1100 12101100\n", "27 54\n", "45013 658585203\n", "1 30\n", "28657 647791485\n", "24969 1813448532\n", "1 20\n", "1 8\n", "24595 221355\n", "28091 393274\n", "29242 126588618\n", "33291 2202133068\n", "9187 134414997\n", "224721 2767888557\n", "4919 221355\n", "28091 589911\n", "11097 2202133068\n", "4919 98380\n", "196637 589911\n", "566995 188809335\n", "9187 126835722\n", "49381 1116257505\n", "4919 196760\n", "43615 225315090\n", "7837 108197622\n", "2599 1116257505\n", "24595 196760\n", "7961 572738223\n", "18181 497323074\n", "213773641 213773641\n", "45013 1261084208\n", "1 3\n", "98763 197526\n", "18181 497323074\n", "149 8195\n", "28657 1596968639\n", "1 6\n", "18181 497323074\n", "149 8195\n", "99873 1343691342\n", "149 8195\n", "27 54\n", "28657 647791485\n", "14621 63294309\n", "9187 134414997\n", "28657 647791485\n", "196637 589911\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Recently a Golden Circle of Beetlovers was found in Byteland. It is a circle route going through n ⋅ k cities. The cities are numerated from 1 to n ⋅ k, the distance between the neighboring cities is exactly 1 km. Sergey does not like beetles, he loves burgers. Fortunately for him, there are n fast food restaurants on the circle, they are located in the 1-st, the (k + 1)-st, the (2k + 1)-st, and so on, the ((n-1)k + 1)-st cities, i.e. the distance between the neighboring cities with fast food restaurants is k km. Sergey began his journey at some city s and traveled along the circle, making stops at cities each l km (l > 0), until he stopped in s once again. Sergey then forgot numbers s and l, but he remembers that the distance from the city s to the nearest fast food restaurant was a km, and the distance from the city he stopped at after traveling the first l km from s to the nearest fast food restaurant was b km. Sergey always traveled in the same direction along the circle, but when he calculated distances to the restaurants, he considered both directions. Now Sergey is interested in two integers. The first integer x is the minimum number of stops (excluding the first) Sergey could have done before returning to s. The second integer y is the maximum number of stops (excluding the first) Sergey could have done before returning to s. Input The first line contains two integers n and k (1 ≤ n, k ≤ 100 000) — the number of fast food restaurants on the circle and the distance between the neighboring restaurants, respectively. The second line contains two integers a and b (0 ≤ a, b ≤ k/2) — the distances to the nearest fast food restaurants from the initial city and from the city Sergey made the first stop at, respectively. Output Print the two integers x and y. Examples Input 2 3 1 1 Output 1 6 Input 3 2 0 0 Output 1 3 Input 1 10 5 3 Output 5 5 Note In the first example the restaurants are located in the cities 1 and 4, the initial city s could be 2, 3, 5, or 6. The next city Sergey stopped at could also be at cities 2, 3, 5, 6. Let's loop through all possible combinations of these cities. If both s and the city of the first stop are at the city 2 (for example, l = 6), then Sergey is at s after the first stop already, so x = 1. In other pairs Sergey needs 1, 2, 3, or 6 stops to return to s, so y = 6. In the second example Sergey was at cities with fast food restaurant both initially and after the first stop, so l is 2, 4, or 6. Thus x = 1, y = 3. In the third example there is only one restaurant, so the possible locations of s and the first stop are: (6, 8) and (6, 4). For the first option l = 2, for the second l = 8. In both cases Sergey needs x=y=5 stops to go to s. ### Input: 1 10 5 3 ### Output: 5 5 ### Input: 3 2 0 0 ### Output: 1 3 ### Code: """This code was written by Russell Emerine - linguist, mathematician, coder, musician, and metalhead.""" from math import gcd n, k = map(int, input().split()) a, b = map(int, input().split()) lll = [a + b, abs(a - b), k - a - b, k - abs(a - b)] x, y = n * k, 0 for ll in lll: for i in range(n): l = ll + i * k c = n * k // gcd(l, n * k) if c < x: x = c if c > y: y = c print(x, y)
1163_C2. Power Transmission (Hard Edition)_34846
This problem is same as the previous one, but has larger constraints. It was a Sunday morning when the three friends Selena, Shiro and Katie decided to have a trip to the nearby power station (do not try this at home). After arriving at the power station, the cats got impressed with a large power transmission system consisting of many chimneys, electric poles, and wires. Since they are cats, they found those things gigantic. At the entrance of the station, there is a map describing the complicated wiring system. Selena is the best at math among three friends. He decided to draw the map on the Cartesian plane. Each pole is now a point at some coordinates (x_i, y_i). Since every pole is different, all of the points representing these poles are distinct. Also, every two poles are connected with each other by wires. A wire is a straight line on the plane infinite in both directions. If there are more than two poles lying on the same line, they are connected by a single common wire. Selena thinks, that whenever two different electric wires intersect, they may interfere with each other and cause damage. So he wonders, how many pairs are intersecting? Could you help him with this problem? Input The first line contains a single integer n (2 ≤ n ≤ 1000) — the number of electric poles. Each of the following n lines contains two integers x_i, y_i (-10^4 ≤ x_i, y_i ≤ 10^4) — the coordinates of the poles. It is guaranteed that all of these n points are distinct. Output Print a single integer — the number of pairs of wires that are intersecting. Examples Input 4 0 0 1 1 0 3 1 2 Output 14 Input 4 0 0 0 2 0 4 2 0 Output 6 Input 3 -1 -1 1 0 3 1 Output 0 Note In the first example: <image> In the second example: <image> Note that the three poles (0, 0), (0, 2) and (0, 4) are connected by a single wire. In the third example: <image>
from itertools import combinations n = int(input()) points = [] for _ in range(n): x, y = map(int, input().split(' ')) points.append((x, y)) directions = {} for pair in combinations(points, 2): (x1, y1), (x2, y2) = pair if x1 == x2: dir = (0, 1) b = x1 else: dir = (1, (y2 - y1) / (x2 - x1)) b = (y2 * x1 - x2 * y1) / (x1 - x2) if dir in directions: directions[dir].add(b) else: directions[dir] = set([b]) total_lines = sum(len(value) for key, value in directions.items()) result = 0 for key, value in directions.items(): current = len(value) result += (total_lines - current) * current print(int(result / 2))
{ "input": [ "4\n0 0\n1 1\n0 3\n1 2\n", "3\n-1 -1\n1 0\n3 1\n", "4\n0 0\n0 2\n0 4\n2 0\n", "4\n-10000 -10000\n-10000 -9999\n10000 10000\n9999 10000\n", "16\n0 0\n0 2\n0 4\n0 6\n2 0\n2 2\n2 4\n2 6\n4 0\n4 2\n4 4\n4 6\n6 0\n6 2\n6 4\n6 6\n", "4\n-10000 -10000\n-10000 10000\n10000 -10000\n10000 10000\n", "2\n10000 10000\n-10000 -10000\n", "25\n-10000 -10000\n-10000 -5000\n-10000 0\n-10000 5000\n-10000 10000\n-5000 -10000\n-5000 -5000\n-5000 0\n-5000 5000\n-5000 10000\n0 -10000\n0 -5000\n0 0\n0 5000\n0 10000\n5000 -10000\n5000 -5000\n5000 0\n5000 5000\n5000 10000\n10000 -10000\n10000 -5000\n10000 0\n10000 5000\n10000 10000\n", "16\n0 0\n0 2\n0 4\n0 6\n2 0\n2 2\n2 4\n2 6\n4 0\n4 2\n4 4\n4 6\n6 0\n6 3\n6 4\n6 6\n", "4\n-10000 -10000\n-10000 00000\n10000 -10000\n10000 10000\n", "2\n10010 10000\n-10000 -10000\n", "25\n-10000 -10000\n-10000 -5000\n-10000 0\n-10000 5000\n-10000 10000\n-7452 -10000\n-5000 -5000\n-5000 0\n-5000 5000\n-5000 10000\n0 -10000\n0 -5000\n0 0\n0 5000\n0 10000\n5000 -10000\n5000 -5000\n5000 0\n5000 5000\n5000 10000\n10000 -10000\n10000 -5000\n10000 0\n10000 5000\n10000 10000\n", "4\n0 0\n1 1\n-1 3\n1 2\n", "3\n-1 -1\n1 0\n2 1\n", "4\n0 1\n0 2\n0 4\n2 0\n", "16\n0 0\n0 2\n0 4\n0 6\n2 0\n2 2\n2 4\n1 6\n4 0\n4 2\n4 4\n4 6\n6 0\n6 3\n6 4\n6 6\n", "25\n-10000 -10000\n-10000 -5000\n-10000 0\n-10000 5000\n-10000 10000\n-7452 -10000\n-5000 -5000\n-5000 0\n-5000 5000\n-5000 10000\n0 -10000\n0 -5000\n0 0\n0 5000\n0 10000\n5000 -13650\n5000 -5000\n5000 0\n5000 5000\n5000 10000\n10000 -10000\n10000 -5000\n10000 0\n10000 5000\n10000 10000\n", "16\n0 0\n-1 2\n0 4\n0 6\n2 0\n2 2\n2 4\n1 6\n4 0\n4 2\n4 4\n4 6\n6 0\n6 3\n6 4\n6 6\n", "25\n-10000 -10000\n-10000 -5000\n-10000 0\n-10000 5000\n-10000 10000\n-7452 -10000\n-5000 -5000\n-5000 0\n-5000 5000\n-5000 10000\n-1 -10000\n0 -5000\n0 0\n0 5000\n0 10000\n5000 -13650\n5000 -5000\n5000 0\n5000 5000\n5000 10000\n10000 -10000\n10000 -5000\n10000 0\n10000 5000\n10000 10000\n", "4\n-10000 -10000\n-10000 00000\n10000 -10000\n10000 10010\n", "2\n10010 10000\n-10000 -8381\n", "4\n0 0\n2 1\n-1 3\n1 2\n", "3\n-1 -1\n1 0\n1 1\n", "4\n0 1\n0 2\n0 3\n2 0\n", "4\n-10000 -10000\n-3456 00000\n10000 -10000\n10000 10010\n", "4\n0 0\n2 2\n-1 3\n1 2\n", "4\n0 1\n0 0\n0 3\n2 0\n", "4\n-10000 -10000\n-3456 00000\n10000 -10000\n10000 10000\n", "4\n0 1\n0 0\n0 3\n2 -1\n", "4\n-10000 -10000\n-3456 00000\n10000 -10000\n10000 11000\n", "4\n-10000 -10000\n-3456 00000\n00000 -10000\n10000 11000\n", "4\n-10000 -10000\n-2063 00000\n00000 -10000\n10000 11000\n", "4\n-10000 -10000\n-2063 00000\n00000 -10535\n10000 11000\n", "4\n-10000 -10000\n-2063 00000\n00000 -10535\n10000 11100\n", "4\n-10000 -10000\n-2533 00000\n00000 -10535\n10000 11100\n", "4\n-10000 -11753\n-2533 00000\n00000 -10535\n10000 11100\n", "4\n-10000 -11753\n-2533 00000\n00100 -10535\n10000 11100\n", "4\n-10000 -11753\n-2533 00000\n00100 -4864\n10000 11100\n", "4\n-10000 -11753\n-2533 00000\n00100 -5161\n10000 11100\n", "4\n-1525 -11753\n-2533 00000\n00100 -5161\n10000 11100\n", "4\n-1525 -11753\n-2533 00000\n00100 -5161\n10000 10100\n", "4\n-1516 -11753\n-2533 00000\n00100 -5161\n10000 10100\n", "4\n-1516 -11753\n-2533 00000\n01100 -5161\n10000 10100\n", "4\n-1516 -11753\n-4704 00000\n01100 -5161\n10000 10100\n", "4\n-1516 -11753\n-8838 00000\n01100 -5161\n10000 10100\n", "4\n-1516 -11753\n-8838 00000\n01101 -5161\n10000 10100\n", "4\n-1516 -3902\n-8838 00000\n01101 -5161\n10000 10100\n", "4\n-1516 -3902\n-8838 00010\n01101 -5161\n10000 10100\n", "4\n-1516 -3902\n-8838 00010\n01101 -5161\n11000 10100\n", "4\n-1516 -3902\n-8838 01010\n01101 -5161\n11000 10100\n", "4\n-1516 -3902\n-8838 01010\n01101 -5161\n11100 10100\n", "4\n-1516 -3902\n-8838 11010\n01101 -5161\n11100 10100\n", "4\n-1516 -3902\n-8838 11011\n01101 -5161\n11100 10100\n", "4\n-1516 -7375\n-8838 11011\n01101 -5161\n11100 10100\n", "4\n-1516 -9692\n-8838 11011\n01101 -5161\n11100 10100\n", "4\n-2629 -9692\n-8838 11011\n01101 -5161\n11100 10100\n", "4\n-2629 -9692\n-8838 10011\n01101 -5161\n11100 10100\n", "4\n-2629 -9692\n-8838 11011\n01101 -2990\n11100 10100\n", "4\n-2629 -16642\n-8838 11011\n01101 -2990\n11100 10100\n", "4\n-2629 -16642\n-8838 11011\n01101 -2990\n11100 10101\n", "4\n-2629 -16642\n-8838 11011\n01001 -2990\n11100 10101\n", "4\n-2629 -16642\n-8838 11011\n01001 -2990\n11100 10100\n", "4\n-2629 -16642\n-8838 11011\n01001 -2990\n11100 10110\n", "4\n-2629 -14401\n-8838 11011\n01001 -2990\n11100 10110\n", "4\n-2629 -14401\n-8838 11011\n01001 -1811\n11100 10110\n", "4\n-2629 -14401\n-8838 11011\n01000 -1811\n11100 10110\n", "4\n-2629 -14401\n-1704 11011\n01000 -1811\n11100 10110\n", "4\n-2629 -14401\n-1704 11011\n00000 -1811\n11100 10110\n", "4\n-2629 -14401\n-1704 11011\n00000 -1811\n11100 11110\n", "4\n-2629 -14401\n-1704 11011\n00000 -3018\n11100 11110\n", "4\n-2629 -14401\n-1704 11001\n00000 -3018\n11100 11110\n", "4\n-2629 -14401\n-1704 11001\n00000 -3018\n11000 11110\n", "4\n-2629 -14401\n-2320 11001\n00000 -3018\n11000 11110\n", "4\n-2629 -14401\n-2320 11101\n00000 -3018\n11000 11110\n", "4\n-2629 -14401\n-2320 11101\n00000 -3018\n11000 11100\n", "4\n-2629 -24974\n-2320 11101\n00000 -3018\n11000 11100\n" ], "output": [ "14\n", "0\n", "6\n", "14\n", "1783\n", "13\n", "0\n", "9324\n", "1865\n", "14\n", "0\n", "10680\n", "15\n", "3\n", "6\n", "1948\n", "12113\n", "2148\n", "14109\n", "14\n", "0\n", "15\n", "3\n", "6\n", "15\n", "15\n", "6\n", "15\n", "6\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n", "15\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: This problem is same as the previous one, but has larger constraints. It was a Sunday morning when the three friends Selena, Shiro and Katie decided to have a trip to the nearby power station (do not try this at home). After arriving at the power station, the cats got impressed with a large power transmission system consisting of many chimneys, electric poles, and wires. Since they are cats, they found those things gigantic. At the entrance of the station, there is a map describing the complicated wiring system. Selena is the best at math among three friends. He decided to draw the map on the Cartesian plane. Each pole is now a point at some coordinates (x_i, y_i). Since every pole is different, all of the points representing these poles are distinct. Also, every two poles are connected with each other by wires. A wire is a straight line on the plane infinite in both directions. If there are more than two poles lying on the same line, they are connected by a single common wire. Selena thinks, that whenever two different electric wires intersect, they may interfere with each other and cause damage. So he wonders, how many pairs are intersecting? Could you help him with this problem? Input The first line contains a single integer n (2 ≤ n ≤ 1000) — the number of electric poles. Each of the following n lines contains two integers x_i, y_i (-10^4 ≤ x_i, y_i ≤ 10^4) — the coordinates of the poles. It is guaranteed that all of these n points are distinct. Output Print a single integer — the number of pairs of wires that are intersecting. Examples Input 4 0 0 1 1 0 3 1 2 Output 14 Input 4 0 0 0 2 0 4 2 0 Output 6 Input 3 -1 -1 1 0 3 1 Output 0 Note In the first example: <image> In the second example: <image> Note that the three poles (0, 0), (0, 2) and (0, 4) are connected by a single wire. In the third example: <image> ### Input: 4 0 0 1 1 0 3 1 2 ### Output: 14 ### Input: 3 -1 -1 1 0 3 1 ### Output: 0 ### Code: from itertools import combinations n = int(input()) points = [] for _ in range(n): x, y = map(int, input().split(' ')) points.append((x, y)) directions = {} for pair in combinations(points, 2): (x1, y1), (x2, y2) = pair if x1 == x2: dir = (0, 1) b = x1 else: dir = (1, (y2 - y1) / (x2 - x1)) b = (y2 * x1 - x2 * y1) / (x1 - x2) if dir in directions: directions[dir].add(b) else: directions[dir] = set([b]) total_lines = sum(len(value) for key, value in directions.items()) result = 0 for key, value in directions.items(): current = len(value) result += (total_lines - current) * current print(int(result / 2))
1184_A2. Heidi Learns Hashing (Medium)_34850
After learning about polynomial hashing, Heidi decided to learn about shift-xor hashing. In particular, she came across this interesting problem. Given a bitstring y ∈ \{0,1\}^n find out the number of different k (0 ≤ k < n) such that there exists x ∈ \{0,1\}^n for which y = x ⊕ \mbox{shift}^k(x). In the above, ⊕ is the xor operation and \mbox{shift}^k is the operation of shifting a bitstring cyclically to the right k times. For example, 001 ⊕ 111 = 110 and \mbox{shift}^3(00010010111000) = 00000010010111. Input The first line contains an integer n (1 ≤ n ≤ 2 ⋅ 10^5), the length of the bitstring y. The second line contains the bitstring y. Output Output a single integer: the number of suitable values of k. Example Input 4 1010 Output 3 Note In the first example: * 1100⊕ \mbox{shift}^1(1100) = 1010 * 1000⊕ \mbox{shift}^2(1000) = 1010 * 0110⊕ \mbox{shift}^3(0110) = 1010 There is no x such that x ⊕ x = 1010, hence the answer is 3.
import math num = int(input()) x = tuple(map(int, list(input()))) integer = 0 dic = dict() for i in range(1,num+1): a = math.gcd(i,num) if a in dic: integer += dic[a] else: lijst = [0]*a for j in range(num): b = j%a lijst[b] += x[j] for k in range(a): if lijst[k]%2 != 0: dic[a] = 0 break else: integer += 1 dic[a] = 1 print(integer)
{ "input": [ "4\n1010\n", "4\n0000\n", "111\n001101111000100111111000010101011110011000010101010001001011000111100111111101000110000011110110100111000100101\n", "4\n0011\n", "10\n1010100001\n", "4\n1011\n", "2\n00\n", "3\n111\n", "2\n01\n", "4\n0111\n", "4\n0110\n", "1\n0\n", "3\n110\n", "3\n101\n", "3\n100\n", "2\n10\n", "4\n1100\n", "4\n1101\n", "4\n1111\n", "4\n0101\n", "3\n000\n", "3\n011\n", "4\n0001\n", "4\n0100\n", "3\n001\n", "2\n11\n", "3\n010\n", "4\n1110\n", "4\n1001\n", "4\n1000\n", "4\n0010\n", "1\n1\n", "111\n001101111000100111111000010101011110011000010101010001001011000111100101111101000110000011110110100111000100101\n", "10\n1010100101\n", "10\n1110100101\n", "10\n1010100111\n", "111\n011101111010100111111000010101011110011000010101010001001011000111100101111000010110010011110100000111000100101\n", "10\n1110011100\n", "111\n001101111000100111111000010101011110011000010101010001001011000111100101111001000110000011110110100111000100101\n", "111\n001101111010100111111000010101011110011000010101010001001011000111100101111001000110000011110110100111000100101\n", "10\n1110100111\n", "111\n001101111010100111111000010101011110011000010101010001001011000111100101111001000110010011110110100111000100101\n", "111\n001101111010100111111000010101011110011000010101010001001011000111100101111001000110010011110100100111000100101\n", "10\n1010101111\n", "111\n001101111010100111111000010101011110011000010101010001001011000111100101111000000110010011110100100111000100101\n", "10\n1010101011\n", "111\n011101111010100111111000010101011110011000010101010001001011000111100101111000000110010011110100100111000100101\n", "10\n1011101011\n", "111\n011101111010100111111000010101011110011000010101010001001011000111100101111000010110010011110100100111000100101\n", "10\n1010100011\n", "10\n1011100011\n", "111\n011101111010100111111000010101011110011010010101010001001011000111100101111000010110010011110100000111000100101\n", "10\n1110100011\n", "111\n011101011010100111111000010101011110011010010101010001001011000111100101111000010110010011110100000111000100101\n", "10\n1110100001\n", "111\n010101011010100111111000010101011110011010010101010001001011000111100101111000010110010011110100000111000100101\n", "10\n1111100001\n", "111\n010101011010100101111000010101011110011010010101010001001011000111100101111000010110010011110100000111000100101\n", "10\n1111100101\n", "111\n010101111010100101111000010101011110011010010101010001001011000111100101111000010110010011110100000111000100101\n", "10\n1111100100\n", "111\n010101111010100101111000010101011110011010010101010001001011000111100101111000010110010001110100000111000100101\n", "10\n1110100100\n", "111\n010101111010100101111000010101011110011010010101010001001011000111100101111000010110010001110100000111000100100\n", "10\n1110110100\n", "111\n010101111010100101111000010101011110011010010101010001000011000111100101111000010110010001110100000111000100100\n", "10\n1110110101\n", "111\n000101111010100101111000010101011110011010010101010001000011000111100101111000010110010001110100000111000100100\n", "10\n1111000101\n", "111\n000101111010100101111000010101011110011010010101010001000011000111100101111000010110000001110100000111000100100\n", "10\n0111000101\n", "111\n000101111010101101111000010101011110011010010101010001000011000111100101111000010110000001110100000111000100100\n", "10\n0111000100\n", "111\n000101111010101101111000010001011110011010010101010001000011000111100101111000010110000001110100000111000100100\n", "10\n0111000110\n", "111\n000101101010101101111000010001011110011010010101010001000011000111100101111000010110000001110100000111000100100\n", "10\n0111010110\n", "111\n000101101010100101111000010001011110011010010101010001000011000111100101111000010110000001110100000111000100100\n", "10\n0110010110\n", "111\n000101101010100101111010010001011110011010010101010001000011000111100101111000010110000001110100000111000100100\n", "10\n0111010010\n", "111\n000101101010100101111010010001011110011010010101010001000011000111101101111000010110000001110100000111000100100\n", "10\n0110010010\n", "111\n000101101010100101111010010001011110011010011101010001000011000111101101111000010110000001110100000111000100100\n", "10\n0110011010\n", "111\n000101101010100101111010010001011110011010011101010001000011000111101101111000010110000000110100000111000100100\n", "10\n0110011000\n", "111\n000101101010100101111010000001011110011010011101010001000011000111101101111000010110000000110100000111000100100\n", "10\n0110011100\n", "111\n000101101010100101111010000000011110011010011101010001000011000111101101111000010110000000110100000111000100100\n", "111\n000101101010100101111010000000011110011010011101010001000011100111101101111000010110000000110100000111000100100\n", "10\n1110011000\n", "111\n000101101010100101111010000100011110011010011101010001000011100111101101111000010110000000110100000111000100100\n", "10\n1110111000\n", "111\n000101101010100101111010010100011110011010011101010001000011100111101101111000010110000000110100000111000100100\n", "10\n1110111010\n", "111\n000101101010100101111010010100011110011010011101010001100011100111101101111000010110000000110100000111000100100\n", "10\n1110111011\n", "111\n000101101010100101011010010100011110011010011101010001100011100111101101111000010110000000110100000111000100100\n", "10\n1110110011\n", "111\n000101101010100101011010010100011110011010011101010001000011100111101101111000010110000000110100000111000100100\n", "10\n1110110111\n", "111\n001101101010100101011010010100011110011010011101010001000011100111101101111000010110000000110100000111000100100\n", "10\n1110110110\n", "111\n001101101010100101011010010100011110011010011101010001000011100111101101111000010110000000110100000011000100100\n", "10\n1100110111\n", "111\n001101101010100101011010010100011110011010011101010001000011100111101101111000010110000001110100000011000100100\n", "10\n1100110110\n", "111\n001101101010100101011010010100011100011010011101010001000011100111101101111000010110000001110100000011000100100\n", "10\n0100110110\n" ], "output": [ "3", "4", "0", "2", "4", "0", "2", "0", "0", "0", "2", "1", "2", "2", "0", "0", "2", "0", "3", "3", "3", "2", "0", "0", "0", "1", "0", "0", "2", "0", "0", "0", "72\n", "0\n", "4\n", "8\n", "108\n", "5\n", "0\n", "72\n", "0\n", "0\n", "72\n", "0\n", "0\n", "4\n", "72\n", "0\n", "0\n", "0\n", "8\n", "0\n", "8\n", "72\n", "0\n", "0\n", "4\n", "72\n", "0\n", "0\n", "4\n", "72\n", "0\n", "0\n", "4\n", "72\n", "0\n", "0\n", "8\n", "72\n", "0\n", "0\n", "4\n", "72\n", "0\n", "0\n", "8\n", "72\n", "0\n", "0\n", "0\n", "72\n", "8\n", "0\n", "0\n", "72\n", "8\n", "0\n", "0\n", "72\n", "0\n", "0\n", "72\n", "8\n", "0\n", "0\n", "72\n", "4\n", "0\n", "0\n", "72\n", "8\n", "0\n", "0\n", "72\n", "0\n", "0\n", "4\n", "72\n", "0\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: After learning about polynomial hashing, Heidi decided to learn about shift-xor hashing. In particular, she came across this interesting problem. Given a bitstring y ∈ \{0,1\}^n find out the number of different k (0 ≤ k < n) such that there exists x ∈ \{0,1\}^n for which y = x ⊕ \mbox{shift}^k(x). In the above, ⊕ is the xor operation and \mbox{shift}^k is the operation of shifting a bitstring cyclically to the right k times. For example, 001 ⊕ 111 = 110 and \mbox{shift}^3(00010010111000) = 00000010010111. Input The first line contains an integer n (1 ≤ n ≤ 2 ⋅ 10^5), the length of the bitstring y. The second line contains the bitstring y. Output Output a single integer: the number of suitable values of k. Example Input 4 1010 Output 3 Note In the first example: * 1100⊕ \mbox{shift}^1(1100) = 1010 * 1000⊕ \mbox{shift}^2(1000) = 1010 * 0110⊕ \mbox{shift}^3(0110) = 1010 There is no x such that x ⊕ x = 1010, hence the answer is 3. ### Input: 4 1010 ### Output: 3 ### Input: 4 0000 ### Output: 4 ### Code: import math num = int(input()) x = tuple(map(int, list(input()))) integer = 0 dic = dict() for i in range(1,num+1): a = math.gcd(i,num) if a in dic: integer += dic[a] else: lijst = [0]*a for j in range(num): b = j%a lijst[b] += x[j] for k in range(a): if lijst[k]%2 != 0: dic[a] = 0 break else: integer += 1 dic[a] = 1 print(integer)
1219_D. Workout plan_34856
Alan decided to get in shape for the summer, so he created a precise workout plan to follow. His plan is to go to a different gym every day during the next N days and lift X[i] grams on day i. In order to improve his workout performance at the gym, he can buy exactly one pre-workout drink at the gym he is currently in and it will improve his performance by A grams permanently and immediately. In different gyms these pre-workout drinks can cost different amounts C[i] because of the taste and the gym's location but its permanent workout gains are the same. Before the first day of starting his workout plan, Alan knows he can lift a maximum of K grams. Help Alan spend a minimum total amount of money in order to reach his workout plan. If there is no way for him to complete his workout plan successfully output -1. Input The first one contains two integer numbers, integers N (1 ≤ N ≤ 10^5) and K (1 ≤ K ≤ 10^5) – representing number of days in the workout plan and how many grams he can lift before starting his workout plan respectively. The second line contains N integer numbers X[i] (1 ≤ X[i] ≤ 10^9) separated by a single space representing how many grams Alan wants to lift on day i. The third line contains one integer number A (1 ≤ A ≤ 10^9) representing permanent performance gains from a single drink. The last line contains N integer numbers C[i] (1 ≤ C[i] ≤ 10^9) , representing cost of performance booster drink in the gym he visits on day i. Output One integer number representing minimal money spent to finish his workout plan. If he cannot finish his workout plan, output -1. Examples Input 5 10000 10000 30000 30000 40000 20000 20000 5 2 8 3 6 Output 5 Input 5 10000 10000 40000 30000 30000 20000 10000 5 2 8 3 6 Output -1 Note First example: After buying drinks on days 2 and 4 Alan can finish his workout plan. Second example: Alan cannot lift 40000 grams on day 2.
n, k = tuple(map(int, input().split())) plan = list(map(int, input().split())) power = int(input()) cost = list(map(int, input().split())) money = 0 current_pow = 0 store = [] # Запас breaked = False for i in range(n): store.append(cost[i]) if plan[i] > k + current_pow: if plan[i] > k + current_pow + len(store) * power: print(-1) breaked = True break else: while store: min_price = min(store) store.remove(min_price) current_pow += power money += min_price if plan[i] <= k + current_pow: break if not breaked: print(money)
{ "input": [ "5 10000\n10000 30000 30000 40000 20000\n20000\n5 2 8 3 6\n", "5 10000\n10000 40000 30000 30000 20000\n10000\n5 2 8 3 6\n", "5 1\n1 1 1 2 9\n1000000000\n10 20 30 40 50\n", "5 49\n22 23 11 17 49\n50\n102 55 77 34 977\n", "5 1\n1 1 1 2 9\n1000000000\n10 20 30 76 50\n", "5 49\n22 23 11 17 49\n50\n102 55 77 34 1856\n", "5 10000\n10000 30000 30000 40000 20000\n20000\n5 2 5 3 6\n", "5 10000\n10000 40000 30000 30000 20000\n10000\n6 2 8 3 6\n", "5 10000\n10010 30000 30000 40000 20000\n20000\n5 2 5 3 6\n", "5 10000\n10010 1629 30000 22244 20000\n20000\n8 2 5 3 6\n", "5 10000\n10010 1629 30000 40724 20000\n20000\n8 1 5 3 10\n", "5 10000\n10010 1629 30000 40724 20000\n20000\n12 1 5 3 10\n", "5 10000\n10010 1552 30000 40724 20000\n20000\n20 1 5 3 10\n", "5 10000\n10010 1552 30000 40724 20000\n20000\n20 0 5 3 10\n", "5 00001\n00010 1552 25295 19999 37316\n24996\n22 0 6 0 12\n", "5 10000\n10010 30000 30000 40000 20000\n20000\n5 2 5 1 6\n", "5 10000\n10010 1552 30000 40724 20000\n20000\n12 0 5 3 10\n", "5 00001\n00010 1552 25295 19999 37316\n24996\n14 0 4 0 12\n", "5 10100\n10000 30000 30000 40000 20000\n20000\n5 2 2 3 6\n", "5 10000\n10010 30000 30000 40000 20000\n20000\n0 2 5 1 6\n", "5 10101\n10010 1629 30000 22244 20000\n20000\n8 2 5 3 10\n", "5 00000\n10010 1629 30000 40724 20000\n20000\n8 2 5 5 10\n", "5 49\n22 23 11 17 49\n50\n102 55 87 34 1856\n", "5 10000\n10000 40000 30000 30000 20000\n10100\n6 2 8 3 6\n", "5 10000\n10010 30000 30000 40000 20000\n20000\n8 2 5 3 6\n", "5 10000\n10000 40000 30000 30000 20000\n10100\n6 1 8 3 6\n", "5 10000\n10010 1629 30000 40000 20000\n20000\n8 2 5 3 6\n", "5 10000\n10010 1629 30000 22244 20000\n20000\n8 2 5 3 10\n", "5 10000\n10010 1629 30000 40724 20000\n20000\n8 2 5 3 10\n", "5 10000\n10010 1552 30000 40724 20000\n20000\n12 1 5 3 10\n", "5 10000\n10010 1552 30000 40724 20000\n37477\n20 0 5 3 10\n", "5 00000\n10010 1552 30000 40724 20000\n37477\n20 0 5 3 10\n", "5 00000\n10010 1552 30000 40724 20000\n37477\n20 0 7 3 10\n", "5 00000\n10010 1552 30000 40724 20000\n37477\n20 0 4 3 10\n", "5 00000\n10010 1552 30000 24755 20000\n37477\n20 0 4 3 10\n", "5 00001\n10010 1552 30000 24755 20000\n37477\n20 0 4 3 10\n", "5 00001\n10010 1552 19787 24755 20000\n37477\n20 0 4 3 10\n", "5 00001\n10010 1552 19787 24755 20000\n37477\n20 0 4 3 12\n", "5 00001\n10010 1552 19787 24755 20000\n37477\n20 0 4 0 12\n", "5 00001\n10010 1552 25295 24755 20000\n37477\n20 0 4 0 12\n", "5 00001\n10010 1552 25295 19999 20000\n37477\n20 0 4 0 12\n", "5 00001\n10010 1552 25295 19999 20000\n24996\n20 0 4 0 12\n", "5 00001\n00010 1552 25295 19999 20000\n24996\n20 0 4 0 12\n", "5 00001\n00010 1552 25295 19999 37316\n24996\n20 0 4 0 12\n", "5 00001\n00010 1552 25295 19999 37316\n24996\n20 0 6 0 12\n", "5 00001\n01010 1552 25295 19999 37316\n24996\n22 0 6 0 12\n", "5 1\n1 1 2 2 9\n1000000000\n10 20 30 40 50\n", "5 49\n22 23 11 17 49\n50\n102 55 77 3 977\n", "5 10100\n10000 30000 30000 40000 20000\n20000\n5 2 8 3 6\n", "5 10000\n10000 40000 30000 30000 20000\n10000\n5 2 8 5 6\n", "5 1\n1 1 1 2 9\n1000000000\n10 20 30 65 50\n", "5 49\n22 23 11 17 49\n50\n102 55 154 34 1856\n", "5 10000\n10000 30000 36154 40000 20000\n20000\n5 2 5 3 6\n", "5 49\n22 23 11 17 49\n57\n102 55 87 34 1856\n", "5 10000\n10000 40000 21647 30000 20000\n10100\n6 1 8 3 6\n", "5 10000\n10000 62614 30000 30000 20000\n10100\n6 1 8 3 6\n", "5 10000\n10010 1629 30000 40000 20000\n20000\n8 2 5 4 6\n", "5 10000\n10010 1629 30000 22244 20000\n20000\n8 2 5 0 6\n", "5 10001\n10010 1629 30000 22244 20000\n20000\n8 2 5 3 10\n", "5 10000\n10010 1629 30000 40724 20000\n20000\n8 2 5 5 10\n", "5 10000\n10010 1629 30000 40724 20000\n20000\n8 1 5 3 9\n", "5 10000\n10010 566 30000 40724 20000\n20000\n12 1 5 3 10\n", "5 10000\n10010 1552 30000 40724 20000\n20000\n20 1 5 3 0\n", "5 10000\n10010 1552 30000 40724 9449\n20000\n20 0 5 3 10\n", "5 10000\n10010 1552 30000 40724 20000\n51852\n20 0 5 3 10\n", "5 00000\n10010 1804 30000 40724 20000\n37477\n20 0 5 3 10\n", "5 00000\n10010 1248 30000 40724 20000\n37477\n20 0 7 3 10\n", "5 00001\n10010 1552 30000 40724 20000\n37477\n20 0 4 3 10\n", "5 00000\n10010 1552 30000 24755 20000\n37477\n20 0 4 0 10\n", "5 00001\n10010 1552 6572 24755 20000\n37477\n20 0 4 3 10\n", "5 00001\n10010 1552 19787 24755 17442\n37477\n20 0 4 3 10\n", "5 00001\n10010 1552 19787 23224 20000\n37477\n20 0 4 3 12\n", "5 01001\n10010 1552 19787 24755 20000\n37477\n20 0 4 0 12\n", "5 00001\n10010 1552 25295 24755 20000\n15269\n20 0 4 0 12\n", "5 00001\n10010 1552 25295 19999 20000\n36825\n20 0 4 0 12\n", "5 00001\n10010 1552 25295 19756 20000\n24996\n20 0 4 0 12\n", "5 10001\n00010 1552 25295 19999 20000\n24996\n20 0 4 0 12\n", "5 01001\n00010 1552 25295 19999 37316\n24996\n20 0 6 0 12\n", "5 00001\n10010 1552 25295 19999 37316\n24996\n22 0 6 0 12\n", "5 00001\n01010 1552 25295 19999 37316\n24996\n22 0 6 1 12\n", "5 1\n1 1 2 2 6\n1000000000\n10 20 30 40 50\n", "5 49\n22 23 7 17 49\n50\n102 55 77 3 977\n", "5 10000\n10000 40000 30000 30000 20000\n10000\n4 2 8 5 6\n", "5 1\n1 2 1 2 9\n1000000000\n10 20 30 65 50\n", "5 49\n22 23 11 17 49\n50\n102 55 154 12 1856\n", "5 10000\n10000 30000 36154 40000 20000\n20000\n8 2 5 3 6\n", "5 49\n22 23 11 17 49\n57\n102 56 87 34 1856\n", "5 10000\n10000 40000 21647 30000 20000\n10100\n6 1 0 3 6\n", "5 10000\n10100 62614 30000 30000 20000\n10100\n6 1 8 3 6\n", "5 10000\n10010 1629 30000 40000 20000\n20000\n8 2 5 2 6\n", "5 10000\n10010 1629 30000 22244 20000\n20900\n8 2 5 0 6\n", "5 10000\n10010 1629 30000 40724 20000\n20000\n12 1 5 3 9\n", "5 11000\n10010 566 30000 40724 20000\n20000\n12 1 5 3 10\n", "5 10000\n10010 1552 30000 81253 20000\n20000\n12 0 5 3 10\n", "5 10000\n10010 1552 30000 22174 9449\n20000\n20 0 5 3 10\n", "5 10000\n10011 1552 30000 40724 20000\n51852\n20 0 5 3 10\n", "5 00000\n10010 926 30000 40724 20000\n37477\n20 0 7 3 10\n" ], "output": [ "5", "-1", "10", "0", "10\n", "0\n", "5\n", "-1\n", "7\n", "8\n", "9\n", "13\n", "21\n", "20\n", "22\n", "6\n", "12\n", "14\n", "4\n", "1\n", "2\n", "15\n", "0\n", "-1\n", "10\n", "-1\n", "10\n", "8\n", "10\n", "13\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "22\n", "10\n", "0\n", "5\n", "-1\n", "10\n", "0\n", "7\n", "0\n", "-1\n", "-1\n", "10\n", "8\n", "8\n", "10\n", "9\n", "13\n", "21\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "20\n", "0\n", "0\n", "22\n", "22\n", "10\n", "0\n", "-1\n", "10\n", "0\n", "7\n", "0\n", "-1\n", "-1\n", "10\n", "8\n", "13\n", "4\n", "20\n", "20\n", "20\n", "20\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Alan decided to get in shape for the summer, so he created a precise workout plan to follow. His plan is to go to a different gym every day during the next N days and lift X[i] grams on day i. In order to improve his workout performance at the gym, he can buy exactly one pre-workout drink at the gym he is currently in and it will improve his performance by A grams permanently and immediately. In different gyms these pre-workout drinks can cost different amounts C[i] because of the taste and the gym's location but its permanent workout gains are the same. Before the first day of starting his workout plan, Alan knows he can lift a maximum of K grams. Help Alan spend a minimum total amount of money in order to reach his workout plan. If there is no way for him to complete his workout plan successfully output -1. Input The first one contains two integer numbers, integers N (1 ≤ N ≤ 10^5) and K (1 ≤ K ≤ 10^5) – representing number of days in the workout plan and how many grams he can lift before starting his workout plan respectively. The second line contains N integer numbers X[i] (1 ≤ X[i] ≤ 10^9) separated by a single space representing how many grams Alan wants to lift on day i. The third line contains one integer number A (1 ≤ A ≤ 10^9) representing permanent performance gains from a single drink. The last line contains N integer numbers C[i] (1 ≤ C[i] ≤ 10^9) , representing cost of performance booster drink in the gym he visits on day i. Output One integer number representing minimal money spent to finish his workout plan. If he cannot finish his workout plan, output -1. Examples Input 5 10000 10000 30000 30000 40000 20000 20000 5 2 8 3 6 Output 5 Input 5 10000 10000 40000 30000 30000 20000 10000 5 2 8 3 6 Output -1 Note First example: After buying drinks on days 2 and 4 Alan can finish his workout plan. Second example: Alan cannot lift 40000 grams on day 2. ### Input: 5 10000 10000 30000 30000 40000 20000 20000 5 2 8 3 6 ### Output: 5 ### Input: 5 10000 10000 40000 30000 30000 20000 10000 5 2 8 3 6 ### Output: -1 ### Code: n, k = tuple(map(int, input().split())) plan = list(map(int, input().split())) power = int(input()) cost = list(map(int, input().split())) money = 0 current_pow = 0 store = [] # Запас breaked = False for i in range(n): store.append(cost[i]) if plan[i] > k + current_pow: if plan[i] > k + current_pow + len(store) * power: print(-1) breaked = True break else: while store: min_price = min(store) store.remove(min_price) current_pow += power money += min_price if plan[i] <= k + current_pow: break if not breaked: print(money)
1243_D. 0-1 MST_34860
Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weighted graph on n vertices. It is a complete graph: each pair of vertices is connected by an edge. The weight of each edge is either 0 or 1; exactly m edges have weight 1, and all others have weight 0. Since Ujan doesn't really want to organize his notes, he decided to find the weight of the minimum spanning tree of the graph. (The weight of a spanning tree is the sum of all its edges.) Can you find the answer for Ujan so he stops procrastinating? Input The first line of the input contains two integers n and m (1 ≤ n ≤ 10^5, 0 ≤ m ≤ min((n(n-1))/(2),10^5)), the number of vertices and the number of edges of weight 1 in the graph. The i-th of the next m lines contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ n, a_i ≠ b_i), the endpoints of the i-th edge of weight 1. It is guaranteed that no edge appears twice in the input. Output Output a single integer, the weight of the minimum spanning tree of the graph. Examples Input 6 11 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 Output 2 Input 3 0 Output 0 Note The graph from the first sample is shown below. Dashed edges have weight 0, other edges have weight 1. One of the minimum spanning trees is highlighted in orange and has total weight 2. <image> In the second sample, all edges have weight 0 so any spanning tree has total weight 0.
import sys reader = (s.rstrip() for s in sys.stdin) input = reader.__next__ n,m = map(int, input().split()) G = [set() for i in range(n)] for i in range(m): a,b = map(int, input().split()) a,b = a-1,b-1 G[a].add(b) G[b].add(a) ans = 0 unused = set(range(n)) while unused: cur = {unused.pop()} while cur: i = cur.pop() nxt = {j for j in unused if j not in G[i]} unused.difference_update(nxt) cur.update(nxt) ans += 1 print(ans-1)
{ "input": [ "6 11\n1 3\n1 4\n1 5\n1 6\n2 3\n2 4\n2 5\n2 6\n3 4\n3 5\n3 6\n", "3 0\n", "2 0\n", "4 2\n3 2\n1 4\n", "3 3\n1 2\n3 1\n2 3\n", "10 10\n1 5\n1 8\n1 9\n5 8\n8 9\n4 7\n2 3\n3 10\n2 6\n2 10\n", "100000 0\n", "3 1\n2 3\n", "2 1\n1 2\n", "6 9\n1 2\n1 4\n1 5\n2 3\n2 5\n2 6\n3 5\n4 6\n5 6\n", "1 0\n", "15 10\n2 3\n5 4\n5 6\n5 7\n3 8\n3 10\n11 12\n12 13\n13 14\n14 15\n", "5 10\n1 2\n2 3\n3 4\n4 5\n5 1\n1 3\n2 4\n3 5\n4 1\n5 2\n", "7 5\n7 5\n1 5\n3 2\n2 6\n3 6\n", "10 10\n1 5\n1 8\n1 9\n5 8\n8 9\n4 7\n2 3\n5 10\n2 6\n2 10\n", "5 10\n1 2\n3 3\n3 4\n4 5\n5 1\n1 3\n2 4\n3 5\n4 1\n5 2\n", "4 1\n2 3\n", "15 10\n2 3\n5 8\n5 6\n5 7\n3 8\n3 10\n11 12\n12 13\n13 14\n14 15\n", "7 5\n7 5\n1 5\n3 2\n3 6\n3 6\n", "4 1\n2 2\n", "15 10\n2 3\n5 8\n5 6\n5 7\n3 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "7 5\n7 5\n1 3\n3 2\n3 6\n3 6\n", "4 1\n2 1\n", "15 10\n2 3\n5 8\n5 5\n5 7\n3 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "8 1\n2 1\n", "13 1\n2 1\n", "4 0\n", "6 2\n3 2\n1 4\n", "10 10\n1 5\n1 1\n1 9\n5 8\n8 9\n4 7\n2 3\n3 10\n2 6\n2 10\n", "100001 0\n", "6 9\n1 2\n1 4\n1 5\n2 3\n2 5\n2 6\n5 5\n4 6\n5 6\n", "15 10\n2 3\n5 4\n5 12\n5 7\n3 8\n3 10\n11 12\n12 13\n13 14\n14 15\n", "7 5\n7 5\n1 5\n3 2\n2 6\n5 6\n", "15 10\n2 3\n5 8\n5 6\n5 7\n3 8\n5 10\n11 12\n12 13\n13 14\n14 15\n", "6 1\n2 2\n", "4 1\n1 1\n", "16 10\n2 3\n5 8\n5 5\n5 7\n3 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "8 1\n4 1\n", "13 1\n3 1\n", "6 2\n4 2\n1 4\n", "6 9\n1 2\n1 4\n1 5\n2 3\n2 5\n3 6\n5 5\n4 6\n5 6\n", "15 10\n2 3\n6 4\n5 12\n5 7\n3 8\n3 10\n11 12\n12 13\n13 14\n14 15\n", "15 10\n2 3\n5 8\n5 6\n5 7\n3 8\n5 10\n11 12\n12 13\n13 14\n14 9\n", "16 10\n2 3\n5 7\n5 5\n5 7\n3 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "8 1\n8 1\n", "6 9\n1 2\n1 4\n1 5\n2 3\n1 5\n3 6\n5 5\n4 6\n5 6\n", "15 10\n2 3\n6 4\n5 12\n5 7\n3 8\n3 10\n11 12\n12 13\n13 14\n9 15\n", "15 10\n2 3\n5 6\n5 6\n5 7\n3 8\n5 10\n11 12\n12 13\n13 14\n14 9\n", "16 10\n2 3\n5 7\n5 5\n5 7\n5 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "15 10\n2 3\n6 4\n5 12\n5 7\n3 8\n3 10\n11 12\n12 13\n13 10\n9 15\n", "15 10\n2 3\n5 6\n5 10\n5 7\n3 8\n5 10\n11 12\n12 13\n13 14\n14 9\n", "16 10\n2 4\n5 7\n5 5\n5 7\n5 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "15 10\n2 3\n5 6\n5 10\n5 7\n3 8\n5 10\n8 12\n12 13\n13 14\n14 9\n", "16 10\n2 4\n5 7\n5 5\n5 7\n5 8\n3 10\n11 12\n10 13\n13 14\n14 15\n", "4 2\n3 2\n1 2\n", "6 1\n2 3\n", "7 5\n7 5\n1 5\n6 2\n2 6\n3 6\n", "10 10\n1 5\n1 8\n1 9\n5 8\n8 9\n4 7\n2 3\n5 10\n2 7\n2 10\n", "4 1\n1 3\n", "9 10\n1 2\n3 3\n3 4\n4 5\n5 1\n1 3\n2 4\n3 5\n4 1\n5 2\n", "13 5\n7 5\n1 5\n3 2\n3 6\n3 6\n", "15 10\n2 3\n5 8\n5 6\n5 7\n3 8\n4 10\n11 12\n6 13\n13 14\n14 15\n", "7 5\n7 5\n1 3\n3 2\n3 6\n5 6\n", "4 1\n4 1\n", "15 10\n2 3\n5 10\n5 5\n5 7\n3 8\n3 10\n11 12\n6 13\n13 14\n14 15\n", "13 1\n2 2\n", "5 0\n", "10 10\n1 5\n1 2\n1 9\n5 8\n8 9\n4 7\n2 3\n3 10\n2 6\n2 10\n", "15 10\n2 3\n5 8\n5 1\n5 7\n3 8\n5 10\n11 12\n12 13\n13 14\n14 15\n" ], "output": [ "2", "0", "0", "0", "2", "0", "0", "0", "1", "0", "0", "0", "4", "0", "0\n", "3\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n", "0\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Ujan has a lot of useless stuff in his drawers, a considerable part of which are his math notebooks: it is time to sort them out. This time he found an old dusty graph theory notebook with a description of a graph. It is an undirected weighted graph on n vertices. It is a complete graph: each pair of vertices is connected by an edge. The weight of each edge is either 0 or 1; exactly m edges have weight 1, and all others have weight 0. Since Ujan doesn't really want to organize his notes, he decided to find the weight of the minimum spanning tree of the graph. (The weight of a spanning tree is the sum of all its edges.) Can you find the answer for Ujan so he stops procrastinating? Input The first line of the input contains two integers n and m (1 ≤ n ≤ 10^5, 0 ≤ m ≤ min((n(n-1))/(2),10^5)), the number of vertices and the number of edges of weight 1 in the graph. The i-th of the next m lines contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ n, a_i ≠ b_i), the endpoints of the i-th edge of weight 1. It is guaranteed that no edge appears twice in the input. Output Output a single integer, the weight of the minimum spanning tree of the graph. Examples Input 6 11 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 Output 2 Input 3 0 Output 0 Note The graph from the first sample is shown below. Dashed edges have weight 0, other edges have weight 1. One of the minimum spanning trees is highlighted in orange and has total weight 2. <image> In the second sample, all edges have weight 0 so any spanning tree has total weight 0. ### Input: 6 11 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 ### Output: 2 ### Input: 3 0 ### Output: 0 ### Code: import sys reader = (s.rstrip() for s in sys.stdin) input = reader.__next__ n,m = map(int, input().split()) G = [set() for i in range(n)] for i in range(m): a,b = map(int, input().split()) a,b = a-1,b-1 G[a].add(b) G[b].add(a) ans = 0 unused = set(range(n)) while unused: cur = {unused.pop()} while cur: i = cur.pop() nxt = {j for j in unused if j not in G[i]} unused.difference_update(nxt) cur.update(nxt) ans += 1 print(ans-1)
1263_C. Everyone is a Winner!_34864
On the well-known testing system MathForces, a draw of n rating units is arranged. The rating will be distributed according to the following algorithm: if k participants take part in this event, then the n rating is evenly distributed between them and rounded to the nearest lower integer, At the end of the drawing, an unused rating may remain — it is not given to any of the participants. For example, if n = 5 and k = 3, then each participant will recieve an 1 rating unit, and also 2 rating units will remain unused. If n = 5, and k = 6, then none of the participants will increase their rating. Vasya participates in this rating draw but does not have information on the total number of participants in this event. Therefore, he wants to know what different values of the rating increment are possible to get as a result of this draw and asks you for help. For example, if n=5, then the answer is equal to the sequence 0, 1, 2, 5. Each of the sequence values (and only them) can be obtained as ⌊ n/k ⌋ for some positive integer k (where ⌊ x ⌋ is the value of x rounded down): 0 = ⌊ 5/7 ⌋, 1 = ⌊ 5/5 ⌋, 2 = ⌊ 5/2 ⌋, 5 = ⌊ 5/1 ⌋. Write a program that, for a given n, finds a sequence of all possible rating increments. Input The first line contains integer number t (1 ≤ t ≤ 10) — the number of test cases in the input. Then t test cases follow. Each line contains an integer n (1 ≤ n ≤ 10^9) — the total number of the rating units being drawn. Output Output the answers for each of t test cases. Each answer should be contained in two lines. In the first line print a single integer m — the number of different rating increment values that Vasya can get. In the following line print m integers in ascending order — the values of possible rating increments. Example Input 4 5 11 1 3 Output 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3
for _ in range(int(input())): n=int(input()) ar1=[] ar2=[0] count=1 for k in range(1,int(n**(1/2))+1): p=n//k if(p!=k and n%k<=p): count+=2 ar1.append(p) ar2.append(k) elif(p==k and n%k<=p): count+=1 ar1.append(p) print(count) print(*ar2+ar1[::-1])
{ "input": [ "4\n5\n11\n1\n3\n", "3\n990\n94\n848\n", "4\n587\n54981\n65501\n48784\n", "2\n30275\n30276\n", "2\n960\n961\n", "10\n954\n214\n3\n861\n525\n670\n20\n406\n561\n969\n", "8\n675\n676\n419\n420\n419\n420\n599\n600\n", "6\n4379977\n8222960\n3317777\n6061469\n5996792\n8189801\n", "10\n288\n289\n649\n650\n89\n90\n288\n289\n255\n256\n", "10\n47523\n47524\n60761\n60762\n84971\n84972\n82943\n82944\n24805\n24806\n", "6\n62499\n62500\n26405\n26406\n89101\n89102\n", "10\n8472\n77865\n87773\n2643\n51912\n978\n79502\n80730\n55420\n75450\n", "7\n493\n228\n202\n738\n225\n972\n441\n", "10\n45155\n45156\n1805\n1806\n28223\n28224\n17821\n17822\n63755\n63756\n", "10\n24249\n1361\n34151\n30289\n64229\n9283\n790\n4598\n37755\n21455\n", "3\n2903473\n836634\n5821231\n", "10\n2\n4\n6\n7\n8\n9\n10\n12\n13\n14\n", "8\n2224571\n2224572\n4433129\n4433130\n404495\n404496\n1234320\n1234321\n", "6\n4543291\n4543292\n4571043\n4571044\n3779135\n3779136\n", "10\n24\n25\n29\n30\n99\n100\n109\n110\n224\n225\n", "10\n731\n414\n869\n314\n842\n871\n204\n978\n599\n678\n", "6\n271\n272\n89\n90\n929\n930\n", "7\n77091\n17115\n62047\n36467\n39226\n5538\n33513\n", "10\n4134388\n1274132\n9601422\n7336676\n3378642\n7744469\n734115\n7317754\n541427\n5000124\n", "3\n1040\n94\n848\n", "4\n587\n54981\n121648\n48784\n", "2\n30275\n13325\n", "2\n960\n273\n", "10\n954\n214\n1\n861\n525\n670\n20\n406\n561\n969\n", "8\n675\n676\n419\n377\n419\n420\n599\n600\n", "6\n4379977\n5534331\n3317777\n6061469\n5996792\n8189801\n", "10\n288\n289\n649\n650\n89\n90\n288\n289\n255\n118\n", "10\n47523\n47524\n60761\n60762\n84971\n84972\n135063\n82944\n24805\n24806\n", "6\n62499\n62500\n26405\n26406\n89101\n43556\n", "10\n8472\n77865\n87773\n2643\n51912\n978\n79502\n80730\n10848\n75450\n", "7\n504\n228\n202\n738\n225\n972\n441\n", "10\n45155\n45156\n1805\n1806\n28223\n28224\n17821\n17822\n11181\n63756\n", "10\n24249\n1681\n34151\n30289\n64229\n9283\n790\n4598\n37755\n21455\n", "3\n2903473\n836634\n5036469\n", "10\n2\n4\n6\n7\n8\n9\n10\n12\n13\n10\n", "8\n2224571\n2224572\n4433129\n4433130\n404495\n748393\n1234320\n1234321\n", "6\n4543291\n4543292\n3696440\n4571044\n3779135\n3779136\n", "10\n48\n25\n29\n30\n99\n100\n109\n110\n224\n225\n", "10\n731\n414\n869\n314\n842\n871\n204\n978\n434\n678\n", "6\n271\n198\n89\n90\n929\n930\n", "7\n77091\n17115\n15294\n36467\n39226\n5538\n33513\n", "10\n4134388\n1274132\n9601422\n7336676\n1466110\n7744469\n734115\n7317754\n541427\n5000124\n", "3\n1040\n94\n1494\n", "4\n587\n54981\n19215\n48784\n", "2\n57436\n13325\n", "2\n960\n27\n", "10\n954\n208\n1\n861\n525\n670\n20\n406\n561\n969\n", "8\n642\n676\n419\n377\n419\n420\n599\n600\n", "6\n4379977\n5534331\n3317777\n6061469\n8500852\n8189801\n", "10\n288\n289\n649\n650\n89\n90\n288\n289\n42\n118\n", "10\n47523\n47524\n60761\n60762\n123097\n84972\n135063\n82944\n24805\n24806\n", "6\n62499\n62500\n26405\n26406\n166856\n43556\n", "10\n8472\n77865\n87773\n2643\n51912\n978\n79502\n126281\n10848\n75450\n", "7\n504\n228\n317\n738\n225\n972\n441\n", "10\n45155\n45156\n1805\n1806\n28223\n28224\n15553\n17822\n11181\n63756\n", "10\n24249\n1681\n34151\n30289\n76227\n9283\n790\n4598\n37755\n21455\n", "3\n2903473\n836634\n1063884\n", "10\n2\n4\n6\n7\n8\n9\n10\n23\n13\n10\n", "8\n2224571\n2410907\n4433129\n4433130\n404495\n748393\n1234320\n1234321\n", "6\n4543291\n4543292\n2685242\n4571044\n3779135\n3779136\n", "10\n92\n25\n29\n30\n99\n100\n109\n110\n224\n225\n", "10\n347\n414\n869\n314\n842\n871\n204\n978\n434\n678\n", "6\n271\n198\n89\n146\n929\n930\n", "7\n77091\n17115\n15294\n36467\n39226\n5538\n64022\n", "10\n4134388\n1274132\n9601422\n7336676\n1466110\n7744469\n734115\n7317754\n385832\n5000124\n", "3\n1040\n130\n1494\n", "4\n587\n54981\n19215\n10877\n", "2\n57436\n21811\n", "2\n960\n37\n", "10\n954\n208\n1\n861\n525\n670\n20\n406\n384\n969\n", "8\n642\n676\n419\n684\n419\n420\n599\n600\n", "6\n4379977\n5534331\n3317777\n6061469\n8500852\n12706430\n", "10\n288\n289\n649\n650\n80\n90\n288\n289\n42\n118\n", "10\n47523\n51317\n60761\n60762\n123097\n84972\n135063\n82944\n24805\n24806\n", "6\n108067\n62500\n26405\n26406\n166856\n43556\n", "10\n8472\n77865\n87773\n2643\n51912\n978\n79502\n100165\n10848\n75450\n", "7\n504\n228\n317\n738\n225\n473\n441\n", "10\n80277\n45156\n1805\n1806\n28223\n28224\n15553\n17822\n11181\n63756\n", "10\n24249\n2834\n34151\n30289\n76227\n9283\n790\n4598\n37755\n21455\n", "3\n1197995\n836634\n1063884\n", "10\n2\n4\n6\n7\n7\n9\n10\n23\n13\n10\n", "8\n2224571\n2410907\n1906778\n4433130\n404495\n748393\n1234320\n1234321\n", "6\n4543291\n4543292\n2685242\n4571044\n3779135\n6173571\n", "10\n92\n25\n29\n30\n99\n100\n58\n110\n224\n225\n", "10\n347\n414\n869\n314\n842\n871\n167\n978\n434\n678\n", "6\n271\n198\n89\n33\n929\n930\n", "7\n77091\n17115\n15294\n36467\n39226\n6630\n64022\n", "10\n4134388\n1274132\n9601422\n7336676\n1466110\n4063537\n734115\n7317754\n385832\n5000124\n", "3\n1040\n96\n1494\n", "4\n587\n54981\n7399\n10877\n", "2\n57436\n25862\n", "2\n880\n37\n", "10\n954\n208\n1\n861\n525\n670\n38\n406\n384\n969\n", "8\n642\n676\n419\n684\n419\n465\n599\n600\n", "6\n4379977\n5534331\n3953372\n6061469\n8500852\n12706430\n", "10\n288\n289\n649\n650\n80\n90\n85\n289\n42\n118\n", "10\n47523\n51317\n60761\n60762\n123097\n84972\n135063\n116135\n24805\n24806\n", "6\n108067\n62500\n26405\n26406\n229309\n43556\n", "10\n8472\n77865\n87773\n2643\n59173\n978\n79502\n100165\n10848\n75450\n", "7\n504\n228\n317\n738\n31\n473\n441\n", "10\n80277\n45156\n1805\n1806\n28223\n28224\n12767\n17822\n11181\n63756\n", "10\n24249\n2834\n34151\n30289\n135089\n9283\n790\n4598\n37755\n21455\n", "3\n2124766\n836634\n1063884\n", "10\n2\n4\n6\n7\n7\n9\n10\n30\n13\n10\n", "8\n2224571\n2410907\n1906778\n4433130\n429304\n748393\n1234320\n1234321\n", "6\n4543291\n4543292\n2685242\n4210097\n3779135\n6173571\n", "10\n92\n38\n29\n30\n99\n100\n58\n110\n224\n225\n", "10\n342\n414\n869\n314\n842\n871\n167\n978\n434\n678\n", "6\n271\n198\n89\n33\n654\n930\n", "7\n77091\n17115\n15294\n56128\n39226\n6630\n64022\n", "10\n7007802\n1274132\n9601422\n7336676\n1466110\n4063537\n734115\n7317754\n385832\n5000124\n", "3\n1040\n33\n1494\n", "4\n587\n45465\n7399\n10877\n", "2\n4807\n25862\n", "2\n880\n45\n", "10\n954\n208\n1\n861\n525\n670\n38\n406\n384\n1320\n", "8\n642\n676\n419\n684\n396\n465\n599\n600\n", "6\n3311292\n5534331\n3953372\n6061469\n8500852\n12706430\n", "10\n288\n289\n649\n650\n80\n90\n85\n289\n46\n118\n" ], "output": [ "4\n0 1 2 5 \n6\n0 1 2 3 5 11 \n2\n0 1 \n3\n0 1 3 \n", "62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 36 38 39 41 43 45 47 49 52 55 58 61 66 70 76 82 90 99 110 123 141 165 198 247 330 495 990 \n19\n0 1 2 3 4 5 6 7 8 9 10 11 13 15 18 23 31 47 94 \n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 47 49 53 56 60 65 70 77 84 94 106 121 141 169 212 282 424 848 \n", "48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 34 36 39 41 45 48 53 58 65 73 83 97 117 146 195 293 587 \n468\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 238 239 240 241 242 243 244 245 246 247 248 249 251 252 253 254 255 256 258 259 260 261 263 264 265 266 268 269 270 272 273 274 276 277 279 280 281 283 284 286 287 289 290 292 294 295 297 298 300 302 303 305 307 308 310 312 314 315 317 319 321 323 325 327 329 331 333 335 337 339 341 343 345 347 350 352 354 357 359 361 364 366 369 371 374 376 379 381 384 387 389 392 395 398 401 404 407 410 413 416 419 422 426 429 432 436 439 443 447 450 454 458 462 465 469 473 478 482 486 490 495 499 504 509 513 518 523 528 533 539 544 549 555 561 566 572 578 584 591 597 604 610 617 624 631 639 646 654 662 670 678 687 695 704 714 723 733 742 753 763 774 785 796 808 820 833 845 859 872 886 901 916 931 947 964 981 999 1018 1037 1057 1078 1099 1122 1145 1169 1195 1221 1249 1278 1309 1341 1374 1409 1446 1485 1527 1570 1617 1666 1718 1773 1832 1895 1963 2036 2114 2199 2290 2390 2499 2618 2749 2893 3054 3234 3436 3665 3927 4229 4581 4998 5498 6109 6872 7854 9163 10996 13745 18327 27490 54981 \n511\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 262 263 264 265 266 267 268 269 270 271 272 274 275 276 277 278 279 281 282 283 284 286 287 288 289 291 292 293 295 296 297 299 300 301 303 304 306 307 308 310 311 313 314 316 317 319 321 322 324 325 327 329 330 332 334 335 337 339 341 342 344 346 348 350 352 354 355 357 359 361 363 365 367 370 372 374 376 378 380 383 385 387 389 392 394 396 399 401 404 406 409 411 414 417 419 422 425 428 430 433 436 439 442 445 448 451 454 458 461 464 467 471 474 478 481 485 488 492 496 500 503 507 511 515 519 524 528 532 536 541 545 550 555 559 564 569 574 579 584 590 595 600 606 612 617 623 629 635 642 648 655 661 668 675 682 689 696 704 711 719 727 735 744 752 761 770 779 789 798 808 818 829 839 850 861 873 885 897 909 922 935 949 963 977 992 1007 1023 1039 1056 1073 1091 1110 1129 1149 1169 1190 1212 1235 1259 1284 1310 1336 1364 1393 1423 1455 1488 1523 1559 1597 1637 1679 1723 1770 1819 1871 1926 1984 2046 2112 2183 2258 2339 2425 2519 2620 2729 2847 2977 3119 3275 3447 3638 3853 4093 4366 4678 5038 5458 5954 6550 7277 8187 9357 10916 13100 16375 21833 32750 65501 \n441\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 229 230 231 232 233 234 235 236 237 239 240 241 242 243 245 246 247 248 250 251 252 254 255 256 258 259 260 262 263 265 266 268 269 271 272 274 275 277 278 280 281 283 285 286 288 290 292 293 295 297 299 301 303 304 306 308 310 312 314 316 318 320 323 325 327 329 331 334 336 338 341 343 345 348 350 353 356 358 361 364 366 369 372 375 378 381 384 387 390 393 396 399 403 406 409 413 416 420 424 427 431 435 439 443 447 451 455 460 464 469 473 478 483 487 492 497 502 508 513 518 524 530 536 542 548 554 560 567 573 580 587 594 602 609 617 625 633 641 650 659 668 677 687 696 707 717 728 739 750 762 774 786 799 813 826 841 855 871 886 903 920 938 956 975 995 1016 1037 1060 1084 1108 1134 1161 1189 1219 1250 1283 1318 1355 1393 1434 1478 1524 1573 1626 1682 1742 1806 1876 1951 2032 2121 2217 2323 2439 2567 2710 2869 3049 3252 3484 3752 4065 4434 4878 5420 6098 6969 8130 9756 12196 16261 24392 48784 \n", "347\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 175 176 177 178 179 180 181 182 183 184 185 186 188 189 190 191 192 194 195 196 197 199 200 201 203 204 205 207 208 210 211 213 214 216 217 219 220 222 224 225 227 229 231 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 263 265 267 270 272 275 277 280 282 285 288 291 293 296 299 302 305 308 312 315 318 322 325 329 332 336 340 344 347 352 356 360 364 369 373 378 383 388 393 398 403 409 414 420 426 432 438 445 451 458 465 473 480 488 496 504 513 521 531 540 550 560 571 582 593 605 617 630 644 658 672 688 704 720 738 756 776 796 818 840 865 890 917 946 976 1009 1043 1081 1121 1164 1211 1261 1316 1376 1441 1513 1593 1681 1780 1892 2018 2162 2328 2522 2752 3027 3363 3784 4325 5045 6055 7568 10091 15137 30275 \n348\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 188 189 190 191 192 194 195 196 197 199 200 201 203 204 205 207 208 210 211 213 214 216 217 219 220 222 224 225 227 229 231 232 234 236 238 240 242 244 246 248 250 252 254 256 258 261 263 265 267 270 272 275 277 280 282 285 288 291 293 296 299 302 305 308 312 315 318 322 325 329 332 336 340 344 348 352 356 360 364 369 373 378 383 388 393 398 403 409 414 420 426 432 438 445 451 458 465 473 480 488 496 504 513 522 531 540 550 560 571 582 593 605 617 630 644 658 672 688 704 720 738 756 776 796 818 841 865 890 917 946 976 1009 1044 1081 1121 1164 1211 1261 1316 1376 1441 1513 1593 1682 1780 1892 2018 2162 2328 2523 2752 3027 3364 3784 4325 5046 6055 7569 10092 15138 30276 \n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 38 40 41 43 45 48 50 53 56 60 64 68 73 80 87 96 106 120 137 160 192 240 320 480 960 \n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 40 41 43 45 48 50 53 56 60 64 68 73 80 87 96 106 120 137 160 192 240 320 480 961 \n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 38 39 41 43 45 47 50 53 56 59 63 68 73 79 86 95 106 119 136 159 190 238 318 477 954 \n29\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19 21 23 26 30 35 42 53 71 107 214 \n3\n0 1 3 \n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 37 39 41 43 45 47 50 53 57 61 66 71 78 86 95 107 123 143 172 215 287 430 861 \n45\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 29 30 32 35 37 40 43 47 52 58 65 75 87 105 131 175 262 525 \n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 33 35 37 39 41 44 47 51 55 60 67 74 83 95 111 134 167 223 335 670 \n9\n0 1 2 3 4 5 6 10 20 \n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 27 29 31 33 36 40 45 50 58 67 81 101 135 203 406 \n47\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 29 31 33 35 37 40 43 46 51 56 62 70 80 93 112 140 187 280 561 \n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 53 57 60 64 69 74 80 88 96 107 121 138 161 193 242 323 484 969 \n", "51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 32 33 35 37 39 42 45 48 51 56 61 67 75 84 96 112 135 168 225 337 675 \n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 112 135 169 225 338 676 \n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419 \n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 28 30 32 35 38 42 46 52 60 70 84 105 140 210 420 \n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419 \n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 28 30 32 35 38 42 46 52 60 70 84 105 140 210 420 \n48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 31 33 35 37 39 42 46 49 54 59 66 74 85 99 119 149 199 299 599 \n49\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 31 33 35 37 40 42 46 50 54 60 66 75 85 100 120 150 200 300 600 \n", "4185\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2178 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2419 2421 2422 2423 2425 2426 2427 2429 2430 2431 2433 2434 2436 2437 2438 2440 2441 2442 2444 2445 2446 2448 2449 2451 2452 2453 2455 2456 2457 2459 2460 2462 2463 2464 2466 2467 2468 2470 2471 2473 2474 2475 2477 2478 2480 2481 2482 2484 2485 2487 2488 2490 2491 2492 2494 2495 2497 2498 2499 2501 2502 2504 2505 2507 2508 2510 2511 2512 2514 2515 2517 2518 2520 2521 2523 2524 2525 2527 2528 2530 2531 2533 2534 2536 2537 2539 2540 2542 2543 2545 2546 2547 2549 2550 2552 2553 2555 2556 2558 2559 2561 2562 2564 2565 2567 2568 2570 2571 2573 2574 2576 2577 2579 2581 2582 2584 2585 2587 2588 2590 2591 2593 2594 2596 2597 2599 2600 2602 2604 2605 2607 2608 2610 2611 2613 2614 2616 2618 2619 2621 2622 2624 2625 2627 2629 2630 2632 2633 2635 2636 2638 2640 2641 2643 2644 2646 2648 2649 2651 2652 2654 2656 2657 2659 2660 2662 2664 2665 2667 2669 2670 2672 2673 2675 2677 2678 2680 2682 2683 2685 2687 2688 2690 2692 2693 2695 2697 2698 2700 2702 2703 2705 2707 2708 2710 2712 2713 2715 2717 2718 2720 2722 2723 2725 2727 2728 2730 2732 2734 2735 2737 2739 2740 2742 2744 2746 2747 2749 2751 2752 2754 2756 2758 2759 2761 2763 2765 2766 2768 2770 2772 2773 2775 2777 2779 2780 2782 2784 2786 2788 2789 2791 2793 2795 2796 2798 2800 2802 2804 2805 2807 2809 2811 2813 2814 2816 2818 2820 2822 2823 2825 2827 2829 2831 2833 2834 2836 2838 2840 2842 2844 2845 2847 2849 2851 2853 2855 2857 2858 2860 2862 2864 2866 2868 2870 2872 2874 2875 2877 2879 2881 2883 2885 2887 2889 2891 2892 2894 2896 2898 2900 2902 2904 2906 2908 2910 2912 2914 2916 2918 2919 2921 2923 2925 2927 2929 2931 2933 2935 2937 2939 2941 2943 2945 2947 2949 2951 2953 2955 2957 2959 2961 2963 2965 2967 2969 2971 2973 2975 2977 2979 2981 2983 2985 2987 2989 2991 2993 2995 2997 2999 3002 3004 3006 3008 3010 3012 3014 3016 3018 3020 3022 3024 3026 3029 3031 3033 3035 3037 3039 3041 3043 3045 3048 3050 3052 3054 3056 3058 3060 3062 3065 3067 3069 3071 3073 3075 3077 3080 3082 3084 3086 3088 3091 3093 3095 3097 3099 3101 3104 3106 3108 3110 3112 3115 3117 3119 3121 3124 3126 3128 3130 3133 3135 3137 3139 3142 3144 3146 3148 3151 3153 3155 3157 3160 3162 3164 3167 3169 3171 3173 3176 3178 3180 3183 3185 3187 3190 3192 3194 3197 3199 3201 3204 3206 3208 3211 3213 3215 3218 3220 3222 3225 3227 3230 3232 3234 3237 3239 3242 3244 3246 3249 3251 3254 3256 3258 3261 3263 3266 3268 3271 3273 3275 3278 3280 3283 3285 3288 3290 3293 3295 3298 3300 3303 3305 3308 3310 3313 3315 3318 3320 3323 3325 3328 3330 3333 3335 3338 3340 3343 3346 3348 3351 3353 3356 3358 3361 3364 3366 3369 3371 3374 3377 3379 3382 3384 3387 3390 3392 3395 3397 3400 3403 3405 3408 3411 3413 3416 3419 3421 3424 3427 3429 3432 3435 3437 3440 3443 3446 3448 3451 3454 3456 3459 3462 3465 3467 3470 3473 3476 3478 3481 3484 3487 3490 3492 3495 3498 3501 3503 3506 3509 3512 3515 3518 3520 3523 3526 3529 3532 3535 3537 3540 3543 3546 3549 3552 3555 3558 3560 3563 3566 3569 3572 3575 3578 3581 3584 3587 3590 3593 3596 3598 3601 3604 3607 3610 3613 3616 3619 3622 3625 3628 3631 3634 3637 3640 3643 3646 3649 3653 3656 3659 3662 3665 3668 3671 3674 3677 3680 3683 3686 3689 3693 3696 3699 3702 3705 3708 3711 3714 3718 3721 3724 3727 3730 3733 3737 3740 3743 3746 3749 3753 3756 3759 3762 3766 3769 3772 3775 3779 3782 3785 3788 3792 3795 3798 3802 3805 3808 3811 3815 3818 3821 3825 3828 3832 3835 3838 3842 3845 3848 3852 3855 3859 3862 3865 3869 3872 3876 3879 3882 3886 3889 3893 3896 3900 3903 3907 3910 3914 3917 3921 3924 3928 3931 3935 3938 3942 3945 3949 3953 3956 3960 3963 3967 3970 3974 3978 3981 3985 3989 3992 3996 3999 4003 4007 4010 4014 4018 4022 4025 4029 4033 4036 4040 4044 4048 4051 4055 4059 4063 4066 4070 4074 4078 4081 4085 4089 4093 4097 4101 4104 4108 4112 4116 4120 4124 4128 4132 4135 4139 4143 4147 4151 4155 4159 4163 4167 4171 4175 4179 4183 4187 4191 4195 4199 4203 4207 4211 4215 4219 4223 4227 4231 4235 4240 4244 4248 4252 4256 4260 4264 4268 4273 4277 4281 4285 4289 4294 4298 4302 4306 4311 4315 4319 4323 4328 4332 4336 4340 4345 4349 4353 4358 4362 4366 4371 4375 4379 4384 4388 4393 4397 4401 4406 4410 4415 4419 4424 4428 4433 4437 4442 4446 4451 4455 4460 4464 4469 4473 4478 4483 4487 4492 4496 4501 4506 4510 4515 4520 4524 4529 4534 4538 4543 4548 4552 4557 4562 4567 4572 4576 4581 4586 4591 4595 4600 4605 4610 4615 4620 4625 4629 4634 4639 4644 4649 4654 4659 4664 4669 4674 4679 4684 4689 4694 4699 4704 4709 4714 4719 4724 4729 4735 4740 4745 4750 4755 4760 4766 4771 4776 4781 4786 4792 4797 4802 4807 4813 4818 4823 4829 4834 4839 4845 4850 4855 4861 4866 4872 4877 4882 4888 4893 4899 4904 4910 4915 4921 4926 4932 4937 4943 4949 4954 4960 4965 4971 4977 4982 4988 4994 4999 5005 5011 5017 5022 5028 5034 5040 5046 5051 5057 5063 5069 5075 5081 5087 5092 5098 5104 5110 5116 5122 5128 5134 5140 5146 5152 5158 5165 5171 5177 5183 5189 5195 5201 5208 5214 5220 5226 5232 5239 5245 5251 5258 5264 5270 5277 5283 5289 5296 5302 5309 5315 5321 5328 5334 5341 5347 5354 5361 5367 5374 5380 5387 5394 5400 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3973 3975 3977 3979 3981 3983 3985 3987 3989 3991 3993 3995 3996 3998 4000 4002 4004 4006 4008 4010 4012 4014 4016 4018 4020 4022 4024 4026 4028 4030 4032 4034 4036 4038 4040 4042 4044 4046 4048 4050 4052 4054 4056 4058 4060 4062 4064 4066 4068 4070 4072 4074 4076 4078 4080 4082 4084 4086 4088 4090 4092 4094 4096 4098 4101 4103 4105 4107 4109 4111 4113 4115 4117 4119 4121 4123 4125 4127 4130 4132 4134 4136 4138 4140 4142 4144 4146 4148 4150 4153 4155 4157 4159 4161 4163 4165 4167 4169 4172 4174 4176 4178 4180 4182 4184 4187 4189 4191 4193 4195 4197 4199 4202 4204 4206 4208 4210 4212 4215 4217 4219 4221 4223 4225 4228 4230 4232 4234 4236 4239 4241 4243 4245 4247 4250 4252 4254 4256 4258 4261 4263 4265 4267 4269 4272 4274 4276 4278 4281 4283 4285 4287 4290 4292 4294 4296 4299 4301 4303 4305 4308 4310 4312 4314 4317 4319 4321 4324 4326 4328 4330 4333 4335 4337 4340 4342 4344 4347 4349 4351 4353 4356 4358 4360 4363 4365 4367 4370 4372 4374 4377 4379 4381 4384 4386 4388 4391 4393 4396 4398 4400 4403 4405 4407 4410 4412 4414 4417 4419 4422 4424 4426 4429 4431 4434 4436 4438 4441 4443 4446 4448 4450 4453 4455 4458 4460 4463 4465 4467 4470 4472 4475 4477 4480 4482 4485 4487 4490 4492 4494 4497 4499 4502 4504 4507 4509 4512 4514 4517 4519 4522 4524 4527 4529 4532 4534 4537 4539 4542 4544 4547 4549 4552 4554 4557 4560 4562 4565 4567 4570 4572 4575 4577 4580 4582 4585 4588 4590 4593 4595 4598 4601 4603 4606 4608 4611 4613 4616 4619 4621 4624 4627 4629 4632 4634 4637 4640 4642 4645 4648 4650 4653 4655 4658 4661 4663 4666 4669 4671 4674 4677 4679 4682 4685 4687 4690 4693 4695 4698 4701 4704 4706 4709 4712 4714 4717 4720 4723 4725 4728 4731 4733 4736 4739 4742 4744 4747 4750 4753 4755 4758 4761 4764 4767 4769 4772 4775 4778 4780 4783 4786 4789 4792 4794 4797 4800 4803 4806 4809 4811 4814 4817 4820 4823 4826 4828 4831 4834 4837 4840 4843 4846 4848 4851 4854 4857 4860 4863 4866 4869 4871 4874 4877 4880 4883 4886 4889 4892 4895 4898 4901 4904 4907 4909 4912 4915 4918 4921 4924 4927 4930 4933 4936 4939 4942 4945 4948 4951 4954 4957 4960 4963 4966 4969 4972 4975 4978 4981 4984 4987 4990 4993 4996 4999 5002 5005 5009 5012 5015 5018 5021 5024 5027 5030 5033 5036 5039 5042 5046 5049 5052 5055 5058 5061 5064 5067 5071 5074 5077 5080 5083 5086 5089 5093 5096 5099 5102 5105 5109 5112 5115 5118 5121 5125 5128 5131 5134 5137 5141 5144 5147 5150 5154 5157 5160 5163 5167 5170 5173 5176 5180 5183 5186 5189 5193 5196 5199 5203 5206 5209 5213 5216 5219 5223 5226 5229 5233 5236 5239 5243 5246 5249 5253 5256 5259 5263 5266 5270 5273 5276 5280 5283 5287 5290 5293 5297 5300 5304 5307 5311 5314 5318 5321 5324 5328 5331 5335 5338 5342 5345 5349 5352 5356 5359 5363 5366 5370 5373 5377 5380 5384 5388 5391 5395 5398 5402 5405 5409 5412 5416 5420 5423 5427 5430 5434 5438 5441 5445 5448 5452 5456 5459 5463 5467 5470 5474 5478 5481 5485 5489 5492 5496 5500 5503 5507 5511 5515 5518 5522 5526 5529 5533 5537 5541 5544 5548 5552 5556 5559 5563 5567 5571 5575 5578 5582 5586 5590 5594 5597 5601 5605 5609 5613 5617 5621 5624 5628 5632 5636 5640 5644 5648 5652 5655 5659 5663 5667 5671 5675 5679 5683 5687 5691 5695 5699 5703 5707 5711 5715 5719 5723 5727 5731 5735 5739 5743 5747 5751 5755 5759 5763 5767 5771 5775 5779 5783 5787 5791 5796 5800 5804 5808 5812 5816 5820 5824 5829 5833 5837 5841 5845 5849 5854 5858 5862 5866 5870 5875 5879 5883 5887 5891 5896 5900 5904 5908 5913 5917 5921 5926 5930 5934 5938 5943 5947 5951 5956 5960 5964 5969 5973 5977 5982 5986 5991 5995 5999 6004 6008 6013 6017 6021 6026 6030 6035 6039 6044 6048 6053 6057 6062 6066 6071 6075 6080 6084 6089 6093 6098 6102 6107 6111 6116 6120 6125 6130 6134 6139 6143 6148 6153 6157 6162 6167 6171 6176 6180 6185 6190 6195 6199 6204 6209 6213 6218 6223 6227 6232 6237 6242 6246 6251 6256 6261 6266 6270 6275 6280 6285 6290 6295 6299 6304 6309 6314 6319 6324 6329 6333 6338 6343 6348 6353 6358 6363 6368 6373 6378 6383 6388 6393 6398 6403 6408 6413 6418 6423 6428 6433 6438 6443 6448 6453 6458 6463 6469 6474 6479 6484 6489 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15719 15749 15779 15810 15841 15871 15902 15933 15964 15995 16027 16058 16089 16121 16153 16185 16217 16249 16281 16314 16346 16379 16412 16445 16478 16511 16545 16578 16612 16645 16679 16713 16748 16782 16816 16851 16886 16921 16956 16991 17026 17062 17097 17133 17169 17205 17241 17278 17314 17351 17388 17425 17462 17499 17537 17574 17612 17650 17688 17726 17765 17803 17842 17881 17920 17960 17999 18039 18079 18119 18159 18199 18240 18280 18321 18362 18404 18445 18487 18528 18570 18613 18655 18698 18740 18783 18827 18870 18914 18957 19001 19046 19090 19135 19179 19224 19270 19315 19361 19407 19453 19499 19546 19592 19639 19687 19734 19782 19830 19878 19926 19975 20023 20073 20122 20171 20221 20271 20322 20372 20423 20474 20525 20577 20629 20681 20733 20786 20839 20892 20945 20999 21053 21107 21162 21217 21272 21327 21383 21439 21495 21552 21608 21666 21723 21781 21839 21897 21956 22015 22074 22134 22194 22254 22315 22376 22437 22499 22561 22623 22686 22749 22812 22876 22940 23005 23069 23135 23200 23266 23332 23399 23466 23533 23601 23669 23738 23807 23876 23946 24017 24087 24158 24230 24302 24374 24447 24520 24593 24668 24742 24817 24893 24968 25045 25122 25199 25277 25355 25434 25513 25593 25673 25754 25835 25917 25999 26082 26165 26249 26333 26418 26504 26590 26676 26764 26851 26940 27029 27118 27208 27299 27390 27482 27575 27668 27762 27856 27951 28047 28143 28240 28338 28436 28535 28635 28736 28837 28939 29041 29145 29249 29354 29459 29566 29673 29781 29889 29999 30109 30220 30332 30445 30558 30673 30788 30904 31021 31139 31258 31378 31499 31620 31743 31866 31991 32116 32243 32370 32499 32628 32759 32890 33023 33157 33291 33427 33564 33702 33842 33982 34124 34266 34410 34556 34702 34850 34999 35149 35300 35453 35607 35763 35920 36078 36238 36399 36561 36725 36890 37057 37226 37396 37567 37741 37915 38092 38270 38449 38631 38814 38999 39185 39374 39564 39756 39950 40146 40343 40543 40745 40949 41154 41362 41572 41784 41998 42215 42434 42655 42878 43104 43332 43562 43795 44031 44269 44509 44753 44998 45247 45498 45753 46010 46270 46532 46798 47067 47339 47615 47893 48175 48460 48748 49040 49336 49635 49937 50244 50554 50868 51186 51508 51834 52164 52498 52837 53180 53528 53880 54237 54598 54965 55336 55712 56094 56481 56873 57271 57674 58083 58498 58919 59346 59779 60219 60665 61117 61577 62043 62517 62998 63486 63982 64486 64998 65518 66046 66583 67129 67684 68248 68821 69405 69998 70601 71215 71840 72476 73123 73781 74452 75135 75831 76540 77262 77998 78748 79512 80292 81087 81898 82725 83569 84430 85310 86208 87125 88062 89019 89997 90997 92020 93065 94135 95230 96350 97497 98672 99875 101108 102372 103668 104997 106361 107760 109197 110672 112189 113747 115349 116997 118692 120438 122235 124087 125996 127965 129996 132093 134259 136496 138810 141203 143680 146246 148905 151662 154524 157496 160584 163796 167138 170620 174251 178039 181995 186131 190460 194995 199751 204745 209994 215521 221345 227494 233994 240876 248175 255931 264187 272993 282406 292492 303325 314992 327592 341241 356078 372263 389990 409490 431042 454988 481753 511862 545986 584985 629984 682483 744527 818980 909977 1023725 1169971 1364966 1637960 2047450 2729933 4094900 8189801 \n", "33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 288 \n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289 \n50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 32 34 36 38 40 43 46 49 54 59 64 72 81 92 108 129 162 216 324 649 \n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 34 36 38 40 43 46 50 54 59 65 72 81 92 108 130 162 216 325 650 \n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89 \n19\n0 1 2 3 4 5 6 7 8 9 10 11 12 15 18 22 30 45 90 \n33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 288 \n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289 \n31\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 21 23 25 28 31 36 42 51 63 85 127 255 \n32\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 21 23 25 28 32 36 42 51 64 85 128 256 \n", "435\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 228 229 230 231 232 234 235 236 237 238 240 241 242 243 244 246 247 248 250 251 252 254 255 256 258 259 261 262 264 265 266 268 270 271 273 274 276 277 279 281 282 284 286 288 289 291 293 295 297 298 300 302 304 306 308 310 312 314 316 318 321 323 325 327 330 332 334 337 339 341 344 346 349 352 354 357 360 362 365 368 371 374 377 380 383 386 389 392 396 399 402 406 409 413 416 420 424 428 432 435 440 444 448 452 456 461 465 470 475 480 484 489 495 500 505 511 516 522 528 533 540 546 552 559 565 572 579 586 594 601 609 617 625 633 642 651 660 669 678 688 698 709 720 731 742 754 766 779 792 805 819 833 848 864 880 896 913 931 950 969 990 1011 1033 1056 1080 1105 1131 1159 1188 1218 1250 1284 1320 1357 1397 1440 1485 1533 1584 1638 1697 1760 1827 1900 1980 2066 2160 2263 2376 2501 2640 2795 2970 3168 3394 3655 3960 4320 4752 5280 5940 6789 7920 9504 11880 15841 23761 47523 \n436\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 234 235 236 237 238 240 241 242 243 244 246 247 248 250 251 252 254 255 256 258 259 261 262 264 265 266 268 270 271 273 274 276 277 279 281 282 284 286 288 289 291 293 295 297 298 300 302 304 306 308 310 312 314 316 318 321 323 325 327 330 332 334 337 339 341 344 346 349 352 354 357 360 362 365 368 371 374 377 380 383 386 389 392 396 399 402 406 409 413 416 420 424 428 432 436 440 444 448 452 456 461 465 470 475 480 484 489 495 500 505 511 516 522 528 533 540 546 552 559 565 572 579 586 594 601 609 617 625 633 642 651 660 669 678 688 698 709 720 731 742 754 766 779 792 805 819 833 848 864 880 896 913 931 950 969 990 1011 1033 1056 1080 1105 1131 1159 1188 1218 1250 1284 1320 1357 1397 1440 1485 1533 1584 1638 1697 1760 1827 1900 1980 2066 2160 2263 2376 2501 2640 2795 2970 3168 3394 3655 3960 4320 4752 5280 5940 6789 7920 9504 11881 15841 23762 47524 \n492\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 248 249 250 251 252 253 254 255 256 257 258 259 260 261 263 264 265 266 267 268 270 271 272 273 274 276 277 278 280 281 282 283 285 286 287 289 290 292 293 294 296 297 299 300 302 303 305 306 308 310 311 313 314 316 318 319 321 323 324 326 328 330 332 333 335 337 339 341 343 345 347 349 351 353 355 357 359 361 363 366 368 370 372 375 377 379 382 384 387 389 392 394 397 399 402 405 407 410 413 416 419 421 424 427 430 434 437 440 443 446 450 453 456 460 463 467 471 474 478 482 486 490 493 498 502 506 510 514 519 523 528 532 537 542 547 552 557 562 567 573 578 584 589 595 601 607 613 620 626 632 639 646 653 660 667 675 682 690 698 706 714 723 732 740 750 759 769 778 789 799 810 821 832 843 855 868 880 893 906 920 934 949 964 980 996 1012 1029 1047 1065 1085 1104 1125 1146 1168 1191 1215 1240 1265 1292 1320 1350 1380 1413 1446 1481 1519 1557 1598 1642 1687 1736 1787 1841 1898 1960 2025 2095 2170 2250 2336 2430 2531 2641 2761 2893 3038 3197 3375 3574 3797 4050 4340 4673 5063 5523 6076 6751 7595 8680 10126 12152 15190 20253 30380 60761 \n493\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 263 264 265 266 267 268 270 271 272 273 274 276 277 278 280 281 282 283 285 286 287 289 290 292 293 294 296 297 299 300 302 303 305 306 308 310 311 313 314 316 318 319 321 323 324 326 328 330 332 333 335 337 339 341 343 345 347 349 351 353 355 357 359 361 363 366 368 370 372 375 377 379 382 384 387 389 392 394 397 399 402 405 407 410 413 416 419 421 424 427 430 434 437 440 443 446 450 453 456 460 463 467 471 474 478 482 486 490 494 498 502 506 510 514 519 523 528 533 537 542 547 552 557 562 567 573 578 584 589 595 601 607 613 620 626 632 639 646 653 660 667 675 682 690 698 706 714 723 732 741 750 759 769 779 789 799 810 821 832 843 855 868 880 893 906 920 934 949 964 980 996 1012 1029 1047 1066 1085 1104 1125 1146 1168 1191 1215 1240 1265 1292 1320 1350 1380 1413 1446 1482 1519 1558 1599 1642 1687 1736 1787 1841 1898 1960 2025 2095 2170 2250 2337 2430 2531 2641 2761 2893 3038 3198 3375 3574 3797 4050 4340 4674 5063 5523 6076 6751 7595 8680 10127 12152 15190 20254 30381 60762 \n582\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 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1125 1139 1154 1170 1186 1202 1219 1236 1253 1272 1290 1310 1329 1350 1371 1393 1415 1438 1462 1487 1513 1539 1567 1595 1625 1656 1687 1721 1755 1791 1828 1867 1908 1950 1994 2041 2089 2140 2194 2250 2309 2372 2438 2507 2581 2659 2742 2831 2925 3026 3134 3250 3375 3510 3657 3816 3989 4179 4388 4619 4876 5163 5485 5851 6269 6751 7314 7979 8777 9752 10971 12539 14628 17554 21943 29257 43886 87773 \n102\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 56 57 58 60 61 62 64 66 67 69 71 73 75 77 80 82 85 88 91 94 97 101 105 110 114 120 125 132 139 146 155 165 176 188 203 220 240 264 293 330 377 440 528 660 881 1321 2643 \n455\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 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229 230 231 232 233 234 235 236 237 238 239 240 242 243 244 245 246 247 248 249 250 251 253 254 255 256 257 258 260 261 262 263 265 266 267 269 270 271 273 274 275 277 278 279 281 282 284 285 287 288 290 291 293 294 296 297 299 301 302 304 306 307 309 311 313 314 316 318 320 322 324 326 327 329 331 333 335 337 340 342 344 346 348 350 352 355 357 359 362 364 367 369 371 374 377 379 382 384 387 390 393 395 398 401 404 407 410 413 416 419 423 426 429 432 436 439 443 446 450 454 458 461 465 469 473 477 481 486 490 494 499 503 508 513 517 522 527 532 538 543 548 554 559 565 571 577 583 589 595 602 609 615 622 629 637 644 652 659 667 675 684 692 701 710 719 729 738 748 759 769 780 791 803 815 827 839 852 865 879 893 908 923 939 955 972 989 1007 1026 1045 1065 1086 1108 1131 1154 1179 1204 1231 1259 1288 1319 1351 1385 1421 1458 1497 1539 1583 1630 1679 1731 1787 1847 1911 1979 2052 2131 2216 2309 2409 2519 2639 2771 2916 3078 3260 3463 3694 3958 4263 4618 5038 5542 6157 6927 7917 9236 11084 13855 18473 27710 55420 \n549\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 289 290 291 292 293 294 295 297 298 299 300 301 303 304 305 306 307 309 310 311 313 314 315 317 318 319 321 322 323 325 326 328 329 330 332 333 335 336 338 339 341 342 344 346 347 349 350 352 354 355 357 359 361 362 364 366 368 369 371 373 375 377 379 381 382 384 386 388 390 392 395 397 399 401 403 405 407 410 412 414 416 419 421 423 426 428 431 433 436 438 441 443 446 449 451 454 457 460 462 465 468 471 474 477 480 483 486 489 493 496 499 503 506 509 513 516 520 523 527 531 535 538 542 546 550 554 558 563 567 571 575 580 584 589 594 598 603 608 613 618 623 628 634 639 644 650 656 661 667 673 679 685 692 698 705 711 718 725 732 739 747 754 762 769 777 785 794 802 811 820 829 838 847 857 867 877 887 898 909 920 931 943 955 967 979 992 1006 1019 1033 1047 1062 1077 1093 1109 1126 1143 1160 1178 1197 1216 1236 1257 1278 1300 1323 1347 1371 1397 1423 1450 1479 1509 1539 1571 1605 1640 1676 1714 1754 1796 1840 1886 1934 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19 20 21 22 23 24 25 27 29 31 33 36 40 44 49 55 63 73 88 110 147 220 441 \n", "424\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 214 215 216 217 218 219 220 221 222 223 224 225 226 228 229 230 231 232 233 235 236 237 238 240 241 242 244 245 246 248 249 250 252 253 255 256 258 259 261 262 264 265 267 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32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 169 170 171 172 173 174 175 176 177 178 179 180 182 183 184 185 186 188 189 190 191 193 194 195 197 198 200 201 203 204 206 207 209 210 212 213 215 217 218 220 222 223 225 227 229 231 233 235 237 239 241 243 245 247 249 251 254 256 258 261 263 266 268 271 274 276 279 282 285 287 290 293 297 300 303 306 310 313 317 320 324 328 332 335 340 344 348 352 357 361 366 371 376 381 386 391 397 403 409 415 421 427 434 440 447 455 462 470 478 486 495 503 513 522 532 542 553 564 575 587 600 613 627 641 656 671 688 705 723 742 762 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3722 3724 3726 3729 3731 3733 3736 3738 3741 3743 3745 3748 3750 3753 3755 3758 3760 3762 3765 3767 3770 3772 3775 3777 3780 3782 3784 3787 3789 3792 3794 3797 3799 3802 3804 3807 3809 3812 3814 3817 3819 3822 3824 3827 3829 3832 3834 3837 3839 3842 3844 3847 3850 3852 3855 3857 3860 3862 3865 3867 3870 3873 3875 3878 3880 3883 3886 3888 3891 3893 3896 3899 3901 3904 3906 3909 3912 3914 3917 3920 3922 3925 3927 3930 3933 3935 3938 3941 3943 3946 3949 3951 3954 3957 3960 3962 3965 3968 3970 3973 3976 3978 3981 3984 3987 3989 3992 3995 3998 4000 4003 4006 4009 4011 4014 4017 4020 4022 4025 4028 4031 4034 4036 4039 4042 4045 4048 4050 4053 4056 4059 4062 4065 4067 4070 4073 4076 4079 4082 4085 4087 4090 4093 4096 4099 4102 4105 4108 4111 4113 4116 4119 4122 4125 4128 4131 4134 4137 4140 4143 4146 4149 4152 4155 4158 4160 4163 4166 4169 4172 4175 4178 4181 4184 4187 4190 4193 4196 4200 4203 4206 4209 4212 4215 4218 4221 4224 4227 4230 4233 4236 4239 4242 4245 4249 4252 4255 4258 4261 4264 4267 4270 4274 4277 4280 4283 4286 4289 4292 4296 4299 4302 4305 4308 4312 4315 4318 4321 4324 4328 4331 4334 4337 4340 4344 4347 4350 4353 4357 4360 4363 4367 4370 4373 4376 4380 4383 4386 4390 4393 4396 4400 4403 4406 4410 4413 4416 4420 4423 4426 4430 4433 4436 4440 4443 4447 4450 4453 4457 4460 4464 4467 4470 4474 4477 4481 4484 4488 4491 4495 4498 4502 4505 4509 4512 4516 4519 4523 4526 4530 4533 4537 4540 4544 4547 4551 4554 4558 4562 4565 4569 4572 4576 4580 4583 4587 4590 4594 4598 4601 4605 4609 4612 4616 4620 4623 4627 4631 4634 4638 4642 4645 4649 4653 4656 4660 4664 4668 4671 4675 4679 4683 4686 4690 4694 4698 4702 4705 4709 4713 4717 4721 4725 4728 4732 4736 4740 4744 4748 4752 4755 4759 4763 4767 4771 4775 4779 4783 4787 4791 4795 4799 4802 4806 4810 4814 4818 4822 4826 4830 4834 4838 4842 4846 4851 4855 4859 4863 4867 4871 4875 4879 4883 4887 4891 4895 4900 4904 4908 4912 4916 4920 4924 4929 4933 4937 4941 4945 4950 4954 4958 4962 4966 4971 4975 4979 4983 4988 4992 4996 5001 5005 5009 5013 5018 5022 5026 5031 5035 5040 5044 5048 5053 5057 5061 5066 5070 5075 5079 5084 5088 5092 5097 5101 5106 5110 5115 5119 5124 5128 5133 5137 5142 5146 5151 5156 5160 5165 5169 5174 5179 5183 5188 5192 5197 5202 5206 5211 5216 5220 5225 5230 5234 5239 5244 5249 5253 5258 5263 5268 5272 5277 5282 5287 5292 5296 5301 5306 5311 5316 5321 5325 5330 5335 5340 5345 5350 5355 5360 5365 5370 5375 5380 5385 5390 5395 5400 5405 5410 5415 5420 5425 5430 5435 5440 5445 5450 5455 5460 5465 5471 5476 5481 5486 5491 5496 5502 5507 5512 5517 5522 5528 5533 5538 5544 5549 5554 5559 5565 5570 5575 5581 5586 5591 5597 5602 5608 5613 5618 5624 5629 5635 5640 5646 5651 5657 5662 5668 5673 5679 5684 5690 5695 5701 5707 5712 5718 5723 5729 5735 5740 5746 5752 5757 5763 5769 5775 5780 5786 5792 5798 5803 5809 5815 5821 5827 5832 5838 5844 5850 5856 5862 5868 5874 5880 5885 5891 5897 5903 5909 5915 5921 5927 5933 5940 5946 5952 5958 5964 5970 5976 5982 5988 5995 6001 6007 6013 6019 6026 6032 6038 6044 6051 6057 6063 6070 6076 6082 6089 6095 6101 6108 6114 6121 6127 6134 6140 6147 6153 6160 6166 6173 6179 6186 6192 6199 6206 6212 6219 6225 6232 6239 6245 6252 6259 6266 6272 6279 6286 6293 6300 6306 6313 6320 6327 6334 6341 6348 6355 6362 6368 6375 6382 6389 6396 6403 6411 6418 6425 6432 6439 6446 6453 6460 6468 6475 6482 6489 6496 6504 6511 6518 6526 6533 6540 6548 6555 6562 6570 6577 6585 6592 6600 6607 6615 6622 6630 6637 6645 6652 6660 6668 6675 6683 6691 6698 6706 6714 6721 6729 6737 6745 6753 6761 6768 6776 6784 6792 6800 6808 6816 6824 6832 6840 6848 6856 6864 6872 6880 6889 6897 6905 6913 6921 6930 6938 6946 6954 6963 6971 6979 6988 6996 7005 7013 7021 7030 7038 7047 7056 7064 7073 7081 7090 7099 7107 7116 7125 7133 7142 7151 7160 7169 7177 7186 7195 7204 7213 7222 7231 7240 7249 7258 7267 7276 7285 7294 7303 7313 7322 7331 7340 7350 7359 7368 7377 7387 7396 7406 7415 7425 7434 7444 7453 7463 7472 7482 7491 7501 7511 7520 7530 7540 7550 7560 7569 7579 7589 7599 7609 7619 7629 7639 7649 7659 7669 7679 7689 7700 7710 7720 7730 7740 7751 7761 7772 7782 7792 7803 7813 7824 7834 7845 7855 7866 7877 7887 7898 7909 7920 7930 7941 7952 7963 7974 7985 7996 8007 8018 8029 8040 8051 8062 8073 8085 8096 8107 8118 8130 8141 8152 8164 8175 8187 8198 8210 8222 8233 8245 8257 8268 8280 8292 8304 8316 8327 8339 8351 8363 8375 8387 8400 8412 8424 8436 8448 8461 8473 8485 8498 8510 8523 8535 8548 8560 8573 8585 8598 8611 8624 8636 8649 8662 8675 8688 8701 8714 8727 8740 8753 8766 8780 8793 8806 8820 8833 8846 8860 8873 8887 8900 8914 8928 8941 8955 8969 8983 8997 9011 9025 9039 9053 9067 9081 9095 9109 9124 9138 9152 9167 9181 9196 9210 9225 9240 9254 9269 9284 9299 9313 9328 9343 9358 9373 9389 9404 9419 9434 9450 9465 9480 9496 9511 9527 9543 9558 9574 9590 9605 9621 9637 9653 9669 9685 9702 9718 9734 9750 9767 9783 9800 9816 9833 9849 9866 9883 9900 9916 9933 9950 9967 9984 10002 10019 10036 10053 10071 10088 10106 10123 10141 10159 10176 10194 10212 10230 10248 10266 10284 10303 10321 10339 10358 10376 10395 10413 10432 10451 10469 10488 10507 10526 10545 10564 10584 10603 10622 10642 10661 10681 10700 10720 10740 10760 10780 10800 10820 10840 10860 10880 10901 10921 10942 10962 10983 11004 11025 11045 11066 11088 11109 11130 11151 11173 11194 11216 11237 11259 11281 11303 11325 11347 11369 11391 11414 11436 11459 11481 11504 11527 11550 11573 11596 11619 11642 11665 11689 11712 11736 11760 11783 11807 11831 11855 11880 11904 11928 11953 11977 12002 12027 12052 12077 12102 12127 12152 12178 12203 12229 12255 12281 12307 12333 12359 12385 12412 12438 12465 12491 12518 12545 12572 12600 12627 12654 12682 12710 12737 12765 12793 12822 12850 12878 12907 12936 12964 12993 13022 13052 13081 13110 13140 13170 13200 13230 13260 13290 13320 13351 13382 13412 13443 13475 13506 13537 13569 13601 13632 13664 13697 13729 13761 13794 13827 13860 13893 13926 13959 13993 14027 14060 14094 14129 14163 14198 14232 14267 14302 14338 14373 14408 14444 14480 14516 14553 14589 14626 14663 14700 14737 14774 14812 14850 14888 14926 14964 15003 15041 15080 15120 15159 15199 15238 15278 15319 15359 15400 15440 15481 15523 15564 15606 15648 15690 15733 15775 15818 15861 15905 15948 15992 16036 16080 16125 16170 16215 16260 16305 16351 16397 16444 16490 16537 16584 16632 16679 16727 16775 16824 16873 16922 16971 17021 17071 17121 17171 17222 17273 17325 17376 17428 17481 17533 17586 17640 17693 17747 17801 17856 17911 17966 18022 18078 18134 18191 18248 18305 18363 18421 18480 18538 18598 18657 18717 18778 18838 18900 18961 19023 19086 19148 19211 19275 19339 19404 19469 19534 19600 19666 19732 19800 19867 19935 20004 20073 20142 20212 20283 20353 20425 20497 20569 20642 20716 20790 20864 20939 21015 21091 21168 21245 21323 21401 21480 21560 21640 21721 21802 21884 21966 22050 22133 22218 22303 22389 22475 22562 22650 22739 22828 22918 23008 23100 23192 23284 23378 23472 23567 23663 23760 23857 23955 24054 24154 24255 24356 24458 24562 24666 24771 24877 24983 25091 25200 25309 25420 25531 25644 25757 25872 25987 26104 26221 26340 26460 26580 26702 26825 26950 27075 27202 27329 27458 27588 27720 27852 27986 28121 28258 28396 28535 28676 28817 28961 29106 29252 29400 29549 29700 29852 30006 30161 30318 30477 30638 30800 30963 31129 31296 31466 31637 31810 31984 32161 32340 32520 32703 32888 33075 33264 33455 33648 33844 34042 34242 34445 34650 34857 35067 35280 35495 35713 35933 36156 36382 36611 36843 37077 37315 37556 37800 38047 38297 38551 38808 39068 39332 39600 39871 40146 40425 40707 40994 41285 41580 41879 42182 42490 42803 43120 43442 43768 44100 44436 44778 45125 45478 45836 46200 46569 46945 47327 47715 48109 48510 48917 49332 49754 50183 50619 51063 51515 51975 52443 52920 53405 53900 54404 54917 55440 55973 56516 57070 57635 58212 58800 59400 60012 60637 61276 61927 62593 63274 63969 64680 65407 66150 66910 67688 68485 69300 70135 70990 71867 72765 73686 74631 75600 76595 77616 78665 79742 80850 81989 83160 84365 85606 86884 88200 89557 90956 92400 93890 95430 97020 98664 100366 102126 103950 105840 107800 109834 111946 114141 116424 118800 121275 123855 126548 129360 132300 135377 138600 141981 145530 149262 153190 157330 161700 166320 171212 176400 181913 187781 194041 200732 207901 215601 223893 232849 242551 253097 264601 277201 291061 306380 323401 342425 363826 388082 415802 447787 485102 529202 582123 646803 727653 831604 970205 1164246 1455307 1940410 2910615 5821231 \n", "3\n0 1 2 \n4\n0 1 2 4 \n5\n0 1 2 3 6 \n5\n0 1 2 3 7 \n5\n0 1 2 4 8 \n6\n0 1 2 3 4 9 \n6\n0 1 2 3 5 10 \n7\n0 1 2 3 4 6 12 \n7\n0 1 2 3 4 6 13 \n7\n0 1 2 3 4 7 14 \n", "2982\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 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7618 7644 7670 7697 7724 7751 7778 7805 7832 7860 7888 7916 7944 7973 8002 8030 8060 8089 8118 8148 8178 8208 8239 8269 8300 8331 8363 8394 8426 8458 8490 8523 8556 8589 8622 8655 8689 8723 8758 8792 8827 8862 8898 8934 8970 9006 9042 9079 9117 9154 9192 9230 9269 9307 9346 9386 9426 9466 9506 9547 9588 9630 9672 9714 9756 9799 9843 9886 9931 9975 10020 10065 10111 10157 10204 10251 10298 10346 10395 10443 10493 10542 10593 10643 10695 10746 10798 10851 10904 10958 11012 11067 11122 11178 11235 11292 11349 11408 11466 11526 11586 11646 11708 11770 11832 11896 11960 12024 12090 12156 12222 12290 12358 12427 12497 12568 12639 12711 12784 12858 12933 13009 13085 13163 13241 13320 13401 13482 13564 13647 13731 13817 13903 13991 14079 14169 14260 14352 14445 14539 14635 14732 14830 14930 15030 15133 15236 15341 15448 15556 15665 15777 15889 16004 16120 16237 16357 16478 16601 16726 16852 16981 17112 17244 17379 17516 17655 17796 17940 18085 18234 18384 18538 18693 18852 19013 19177 19344 19513 19686 19862 20041 20223 20408 20597 20790 20986 21186 21390 21597 21809 22025 22245 22470 22699 22933 23172 23416 23665 23920 24180 24445 24717 24995 25279 25569 25867 26171 26482 26802 27128 27463 27807 28159 28520 28890 29270 29660 30061 30473 30896 31331 31779 32240 32714 33202 33705 34224 34758 35310 35880 36468 37076 37704 38354 39027 39724 40446 41195 41973 42780 43619 44491 45399 46345 47331 48360 49434 50558 51734 52965 54257 55614 57040 58541 60123 61793 63559 65428 67411 69517 71760 74152 76709 79448 82391 85560 88982 92690 96720 101116 105931 111228 117082 123587 130857 139035 148304 158897 171120 185380 202233 222457 247174 278071 317795 370761 444914 556142 741523 1112285 2224571 \n2983\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 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3619 3630 3641 3651 3662 3673 3684 3695 3706 3717 3729 3740 3751 3763 3774 3786 3797 3809 3821 3833 3845 3857 3869 3881 3893 3906 3918 3930 3943 3956 3968 3981 3994 4007 4020 4033 4046 4060 4073 4087 4100 4114 4128 4142 4155 4170 4184 4198 4212 4227 4241 4256 4271 4285 4300 4315 4330 4346 4361 4377 4392 4408 4424 4440 4456 4472 4488 4504 4521 4537 4554 4571 4588 4605 4622 4640 4657 4675 4693 4711 4729 4747 4765 4784 4802 4821 4840 4859 4878 4898 4917 4937 4957 4977 4997 5017 5038 5058 5079 5100 5121 5143 5164 5186 5208 5230 5252 5274 5297 5320 5343 5366 5390 5413 5437 5461 5485 5510 5535 5560 5585 5610 5636 5662 5688 5714 5741 5767 5794 5822 5849 5877 5905 5934 5962 5991 6021 6050 6080 6110 6140 6171 6202 6233 6265 6297 6329 6362 6395 6428 6462 6496 6530 6565 6600 6636 6672 6708 6744 6781 6819 6857 6895 6934 6973 7013 7053 7093 7134 7176 7218 7260 7303 7347 7391 7435 7480 7526 7572 7619 7666 7714 7763 7812 7861 7912 7963 8015 8067 8120 8174 8228 8284 8340 8396 8454 8512 8571 8631 8692 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2108 2110 2111 2112 2113 2114 2115 2117 2118 2119 2120 2121 2123 2124 2125 2126 2127 2129 2130 2131 2132 2133 2135 2136 2137 2138 2139 2141 2142 2143 2144 2146 2147 2148 2149 2150 2152 2153 2154 2155 2157 2158 2159 2160 2161 2163 2164 2165 2166 2168 2169 2170 2171 2173 2174 2175 2176 2178 2179 2180 2181 2183 2184 2185 2187 2188 2189 2190 2192 2193 2194 2195 2197 2198 2199 2201 2202 2203 2204 2206 2207 2208 2210 2211 2212 2213 2215 2216 2217 2219 2220 2221 2223 2224 2225 2226 2228 2229 2230 2232 2233 2234 2236 2237 2238 2240 2241 2242 2244 2245 2246 2248 2249 2250 2252 2253 2254 2256 2257 2258 2260 2261 2262 2264 2265 2267 2268 2269 2271 2272 2273 2275 2276 2277 2279 2280 2282 2283 2284 2286 2287 2288 2290 2291 2293 2294 2295 2297 2298 2300 2301 2302 2304 2305 2307 2308 2309 2311 2312 2314 2315 2317 2318 2319 2321 2322 2324 2325 2327 2328 2329 2331 2332 2334 2335 2337 2338 2340 2341 2342 2344 2345 2347 2348 2350 2351 2353 2354 2356 2357 2359 2360 2361 2363 2364 2366 2367 2369 2370 2372 2373 2375 2376 2378 2379 2381 2382 2384 2385 2387 2388 2390 2391 2393 2394 2396 2397 2399 2400 2402 2404 2405 2407 2408 2410 2411 2413 2414 2416 2417 2419 2420 2422 2424 2425 2427 2428 2430 2431 2433 2435 2436 2438 2439 2441 2442 2444 2446 2447 2449 2450 2452 2453 2455 2457 2458 2460 2461 2463 2465 2466 2468 2470 2471 2473 2474 2476 2478 2479 2481 2483 2484 2486 2487 2489 2491 2492 2494 2496 2497 2499 2501 2502 2504 2506 2507 2509 2511 2512 2514 2516 2517 2519 2521 2522 2524 2526 2527 2529 2531 2532 2534 2536 2538 2539 2541 2543 2544 2546 2548 2550 2551 2553 2555 2556 2558 2560 2562 2563 2565 2567 2569 2570 2572 2574 2576 2577 2579 2581 2583 2584 2586 2588 2590 2592 2593 2595 2597 2599 2600 2602 2604 2606 2608 2609 2611 2613 2615 2617 2618 2620 2622 2624 2626 2628 2629 2631 2633 2635 2637 2639 2640 2642 2644 2646 2648 2650 2652 2653 2655 2657 2659 2661 2663 2665 2666 2668 2670 2672 2674 2676 2678 2680 2682 2684 2685 2687 2689 2691 2693 2695 2697 2699 2701 2703 2705 2707 2709 2711 2712 2714 2716 2718 2720 2722 2724 2726 2728 2730 2732 2734 2736 2738 2740 2742 2744 2746 2748 2750 2752 2754 2756 2758 2760 2762 2764 2766 2768 2770 2772 2774 2776 2778 2780 2782 2784 2786 2789 2791 2793 2795 2797 2799 2801 2803 2805 2807 2809 2811 2813 2816 2818 2820 2822 2824 2826 2828 2830 2832 2835 2837 2839 2841 2843 2845 2847 2850 2852 2854 2856 2858 2860 2862 2865 2867 2869 2871 2873 2876 2878 2880 2882 2884 2887 2889 2891 2893 2895 2898 2900 2902 2904 2907 2909 2911 2913 2916 2918 2920 2922 2925 2927 2929 2931 2934 2936 2938 2940 2943 2945 2947 2950 2952 2954 2957 2959 2961 2964 2966 2968 2971 2973 2975 2978 2980 2982 2985 2987 2989 2992 2994 2996 2999 3001 3004 3006 3008 3011 3013 3016 3018 3020 3023 3025 3028 3030 3033 3035 3037 3040 3042 3045 3047 3050 3052 3055 3057 3060 3062 3064 3067 3069 3072 3074 3077 3079 3082 3085 3087 3090 3092 3095 3097 3100 3102 3105 3107 3110 3112 3115 3118 3120 3123 3125 3128 3131 3133 3136 3138 3141 3144 3146 3149 3151 3154 3157 3159 3162 3165 3167 3170 3173 3175 3178 3181 3183 3186 3189 3191 3194 3197 3199 3202 3205 3208 3210 3213 3216 3219 3221 3224 3227 3230 3232 3235 3238 3241 3243 3246 3249 3252 3255 3257 3260 3263 3266 3269 3271 3274 3277 3280 3283 3286 3289 3291 3294 3297 3300 3303 3306 3309 3312 3315 3317 3320 3323 3326 3329 3332 3335 3338 3341 3344 3347 3350 3353 3356 3359 3362 3365 3368 3371 3374 3377 3380 3383 3386 3389 3392 3395 3398 3401 3404 3407 3410 3413 3416 3420 3423 3426 3429 3432 3435 3438 3441 3444 3448 3451 3454 3457 3460 3463 3467 3470 3473 3476 3479 3483 3486 3489 3492 3495 3499 3502 3505 3508 3512 3515 3518 3522 3525 3528 3531 3535 3538 3541 3545 3548 3551 3555 3558 3561 3565 3568 3571 3575 3578 3582 3585 3588 3592 3595 3599 3602 3606 3609 3612 3616 3619 3623 3626 3630 3633 3637 3640 3644 3647 3651 3654 3658 3661 3665 3669 3672 3676 3679 3683 3686 3690 3694 3697 3701 3705 3708 3712 3715 3719 3723 3726 3730 3734 3738 3741 3745 3749 3752 3756 3760 3764 3767 3771 3775 3779 3782 3786 3790 3794 3798 3801 3805 3809 3813 3817 3821 3825 3828 3832 3836 3840 3844 3848 3852 3856 3860 3864 3868 3872 3876 3880 3884 3888 3892 3896 3900 3904 3908 3912 3916 3920 3924 3928 3932 3936 3940 3944 3948 3953 3957 3961 3965 3969 3973 3978 3982 3986 3990 3994 3999 4003 4007 4011 4016 4020 4024 4028 4033 4037 4041 4046 4050 4054 4059 4063 4067 4072 4076 4081 4085 4089 4094 4098 4103 4107 4112 4116 4121 4125 4130 4134 4139 4143 4148 4152 4157 4162 4166 4171 4175 4180 4185 4189 4194 4199 4203 4208 4213 4217 4222 4227 4231 4236 4241 4246 4250 4255 4260 4265 4270 4275 4279 4284 4289 4294 4299 4304 4309 4314 4319 4323 4328 4333 4338 4343 4348 4353 4358 4363 4368 4374 4379 4384 4389 4394 4399 4404 4409 4414 4420 4425 4430 4435 4440 4446 4451 4456 4461 4467 4472 4477 4482 4488 4493 4498 4504 4509 4515 4520 4525 4531 4536 4542 4547 4553 4558 4564 4569 4575 4580 4586 4591 4597 4603 4608 4614 4619 4625 4631 4636 4642 4648 4654 4659 4665 4671 4677 4682 4688 4694 4700 4706 4712 4718 4723 4729 4735 4741 4747 4753 4759 4765 4771 4777 4783 4789 4795 4801 4808 4814 4820 4826 4832 4838 4845 4851 4857 4863 4870 4876 4882 4888 4895 4901 4907 4914 4920 4927 4933 4940 4946 4952 4959 4966 4972 4979 4985 4992 4998 5005 5012 5018 5025 5032 5038 5045 5052 5059 5065 5072 5079 5086 5093 5100 5106 5113 5120 5127 5134 5141 5148 5155 5162 5169 5176 5184 5191 5198 5205 5212 5219 5227 5234 5241 5248 5256 5263 5270 5278 5285 5292 5300 5307 5315 5322 5330 5337 5345 5352 5360 5368 5375 5383 5391 5398 5406 5414 5422 5429 5437 5445 5453 5461 5469 5477 5484 5492 5500 5508 5516 5525 5533 5541 5549 5557 5565 5573 5582 5590 5598 5607 5615 5623 5632 5640 5648 5657 5665 5674 5682 5691 5700 5708 5717 5725 5734 5743 5752 5760 5769 5778 5787 5796 5805 5814 5823 5832 5841 5850 5859 5868 5877 5886 5895 5904 5914 5923 5932 5942 5951 5960 5970 5979 5989 5998 6008 6017 6027 6036 6046 6056 6066 6075 6085 6095 6105 6115 6125 6134 6144 6154 6164 6175 6185 6195 6205 6215 6225 6236 6246 6256 6267 6277 6288 6298 6309 6319 6330 6340 6351 6362 6372 6383 6394 6405 6416 6427 6438 6449 6460 6471 6482 6493 6504 6515 6527 6538 6549 6561 6572 6583 6595 6606 6618 6630 6641 6653 6665 6676 6688 6700 6712 6724 6736 6748 6760 6772 6784 6797 6809 6821 6833 6846 6858 6871 6883 6896 6908 6921 6934 6946 6959 6972 6985 6998 7011 7024 7037 7050 7063 7077 7090 7103 7117 7130 7143 7157 7171 7184 7198 7212 7225 7239 7253 7267 7281 7295 7309 7323 7338 7352 7366 7381 7395 7410 7424 7439 7453 7468 7483 7498 7513 7528 7543 7558 7573 7588 7603 7619 7634 7650 7665 7681 7696 7712 7728 7744 7760 7776 7792 7808 7824 7840 7856 7873 7889 7906 7922 7939 7956 7972 7989 8006 8023 8040 8057 8075 8092 8109 8127 8144 8162 8179 8197 8215 8233 8251 8269 8287 8305 8324 8342 8360 8379 8398 8416 8435 8454 8473 8492 8511 8530 8550 8569 8588 8608 8628 8647 8667 8687 8707 8727 8748 8768 8788 8809 8829 8850 8871 8892 8913 8934 8955 8976 8997 9019 9040 9062 9084 9106 9128 9150 9172 9194 9217 9239 9262 9285 9308 9331 9354 9377 9400 9424 9447 9471 9495 9519 9543 9567 9591 9616 9640 9665 9690 9715 9740 9765 9790 9815 9841 9867 9893 9918 9945 9971 9997 10024 10050 10077 10104 10131 10158 10186 10213 10241 10269 10297 10325 10353 10382 10410 10439 10468 10497 10526 10556 10585 10615 10645 10675 10705 10736 10766 10797 10828 10859 10890 10922 10954 10985 11017 11050 11082 11115 11147 11180 11214 11247 11281 11314 11348 11382 11417 11451 11486 11521 11556 11592 11628 11664 11700 11736 11773 11809 11846 11884 11921 11959 11997 12035 12073 12112 12151 12190 12230 12269 12309 12350 12390 12431 12472 12513 12555 12597 12639 12681 12724 12767 12810 12854 12898 12942 12986 13031 13076 13122 13167 13213 13260 13306 13353 13401 13448 13496 13545 13594 13643 13692 13742 13792 13842 13893 13945 13996 14048 14101 14154 14207 14260 14314 14369 14424 14479 14535 14591 14647 14704 14762 14820 14878 14937 14996 15056 15116 15177 15238 15300 15362 15425 15488 15552 15616 15681 15746 15812 15878 15945 16013 16081 16150 16219 16289 16359 16431 16502 16575 16648 16721 16796 16871 16946 17023 17100 17177 17256 17335 17415 17496 17577 17659 17742 17826 17910 17995 18081 18168 18256 18345 18434 18525 18616 18708 18801 18895 18990 19086 19183 19281 19380 19480 19581 19683 19786 19890 19995 20101 20209 20317 20427 20538 20651 20764 20879 20995 21112 21231 21351 21472 21595 21719 21844 21971 22100 22230 22361 22494 22629 22765 22903 23043 23184 23328 23472 23619 23768 23918 24070 24225 24381 24539 24700 24862 25027 25194 25363 25534 25708 25884 26063 26244 26427 26613 26802 26993 27188 27385 27584 27787 27993 28202 28414 28629 28848 29070 29295 29524 29756 29993 30233 30476 30724 30976 31232 31492 31757 32026 32300 32578 32862 33150 33443 33742 34046 34355 34670 34992 35319 35652 35991 36337 36690 37050 37417 37791 38173 38562 38960 39366 39780 40203 40635 41077 41528 41990 42462 42944 43438 43943 44460 44989 45531 46087 46656 47239 47837 48450 49079 49725 50388 51069 51768 52488 53227 53987 54770 55575 56405 57259 58140 59049 59986 60953 61953 62985 64053 65157 66300 67484 68711 69984 71304 72675 74100 75582 77125 78732 80407 82155 83980 85889 87886 89979 92174 94478 96900 99450 102138 104976 107975 111151 114519 118098 121907 125971 130315 134969 139968 145351 151165 157464 164310 171778 179958 188956 198901 209952 222302 236196 251942 269938 290702 314928 343557 377913 419904 472392 539876 629856 755827 944784 1259712 1889568 3779136 \n", "9\n0 1 2 3 4 6 8 12 24 \n10\n0 1 2 3 4 5 6 8 12 25 \n10\n0 1 2 3 4 5 7 9 14 29 \n11\n0 1 2 3 4 5 6 7 10 15 30 \n19\n0 1 2 3 4 5 6 7 8 9 11 12 14 16 19 24 33 49 99 \n20\n0 1 2 3 4 5 6 7 8 9 10 11 12 14 16 20 25 33 50 100 \n20\n0 1 2 3 4 5 6 7 8 9 10 12 13 15 18 21 27 36 54 109 \n21\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 18 22 27 36 55 110 \n29\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 22 24 28 32 37 44 56 74 112 224 \n30\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 22 25 28 32 37 45 56 75 112 225 \n", "54\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 36 38 40 43 45 48 52 56 60 66 73 81 91 104 121 146 182 243 365 731 \n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 29 31 34 37 41 46 51 59 69 82 103 138 207 414 \n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 36 37 39 41 43 45 48 51 54 57 62 66 72 79 86 96 108 124 144 173 217 289 434 869 \n35\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 31 34 39 44 52 62 78 104 157 314 \n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 46 49 52 56 60 64 70 76 84 93 105 120 140 168 210 280 421 842 \n59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 41 43 45 48 51 54 58 62 67 72 79 87 96 108 124 145 174 217 290 435 871 \n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 20 22 25 29 34 40 51 68 102 204 \n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 40 42 44 46 48 51 54 57 61 65 69 75 81 88 97 108 122 139 163 195 244 326 489 978 \n48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 31 33 35 37 39 42 46 49 54 59 66 74 85 99 119 149 199 299 599 \n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 113 135 169 226 339 678 \n", "32\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 27 30 33 38 45 54 67 90 135 271 \n33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 27 30 34 38 45 54 68 90 136 272 \n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89 \n19\n0 1 2 3 4 5 6 7 8 9 10 11 12 15 18 22 30 45 90 \n60\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 37 38 40 42 44 46 48 51 54 58 61 66 71 77 84 92 103 116 132 154 185 232 309 464 929 \n61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 54 58 62 66 71 77 84 93 103 116 132 155 186 232 310 465 930 \n", "555\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 292 293 294 295 296 297 298 299 301 302 303 304 305 307 308 309 310 312 313 314 315 317 318 319 321 322 323 325 326 328 329 330 332 333 335 336 338 339 341 342 344 345 347 348 350 352 353 355 356 358 360 361 363 365 367 368 370 372 374 376 377 379 381 383 385 387 389 391 393 395 397 399 401 403 405 407 410 412 414 416 418 421 423 425 428 430 433 435 438 440 443 445 448 450 453 456 458 461 464 467 470 472 475 478 481 484 487 491 494 497 500 503 507 510 513 517 520 524 528 531 535 539 542 546 550 554 558 562 566 571 575 579 584 588 593 597 602 607 611 616 621 626 631 637 642 647 653 658 664 670 676 682 688 694 700 707 713 720 727 734 741 748 755 763 770 778 786 794 803 811 820 828 837 847 856 866 876 886 896 906 917 928 940 951 963 975 988 1001 1014 1027 1041 1056 1070 1085 1101 1117 1133 1150 1168 1186 1204 1223 1243 1263 1284 1306 1329 1352 1376 1401 1427 1454 1482 1511 1541 1573 1606 1640 1675 1713 1752 1792 1835 1880 1927 1976 2028 2083 2141 2202 2267 2336 2409 2486 2569 2658 2753 2855 2965 3083 3212 3351 3504 3671 3854 4057 4282 4534 4818 5139 5506 5930 6424 7008 7709 8565 9636 11013 12848 15418 19272 25697 38545 77091 \n261\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 138 139 140 141 142 143 145 146 147 148 150 151 152 154 155 157 158 159 161 163 164 166 167 169 171 172 174 176 178 180 182 184 186 188 190 192 194 196 199 201 203 206 208 211 213 216 219 222 225 228 231 234 237 241 244 248 251 255 259 263 267 271 276 280 285 290 295 300 305 311 316 322 329 335 342 349 356 364 372 380 388 398 407 417 427 438 450 462 475 489 503 518 534 552 570 590 611 633 658 684 713 744 777 815 855 900 950 1006 1069 1141 1222 1316 1426 1555 1711 1901 2139 2445 2852 3423 4278 5705 8557 17115 \n498\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 264 265 266 267 268 269 270 272 273 274 275 276 278 279 280 282 283 284 285 287 288 289 291 292 294 295 296 298 299 301 302 304 305 307 308 310 311 313 314 316 318 319 321 323 324 326 328 330 331 333 335 337 339 340 342 344 346 348 350 352 354 356 358 360 362 364 367 369 371 373 376 378 380 383 385 387 390 392 395 397 400 402 405 408 410 413 416 419 422 424 427 430 433 436 440 443 446 449 452 456 459 463 466 470 473 477 480 484 488 492 496 500 504 508 512 517 521 525 530 534 539 544 549 553 558 564 569 574 579 585 590 596 602 608 614 620 626 633 639 646 653 660 667 674 681 689 697 705 713 721 729 738 747 756 766 775 785 795 805 816 827 838 849 861 873 886 899 912 926 940 954 969 984 1000 1017 1034 1051 1069 1088 1107 1128 1149 1170 1193 1216 1240 1266 1292 1320 1348 1378 1410 1442 1477 1513 1551 1590 1632 1676 1723 1772 1824 1880 1938 2001 2068 2139 2215 2298 2386 2481 2585 2697 2820 2954 3102 3265 3447 3649 3877 4136 4431 4772 5170 5640 6204 6894 7755 8863 10341 12409 15511 20682 31023 62047 \n381\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197 198 199 200 201 202 203 204 206 207 208 209 210 212 213 214 215 217 218 219 221 222 223 225 226 227 229 230 232 233 235 236 238 239 241 243 244 246 248 249 251 253 255 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 287 289 291 294 296 298 301 303 306 309 311 314 317 319 322 325 328 331 334 337 340 344 347 350 354 357 361 364 368 372 375 379 383 387 392 396 400 405 409 414 419 424 429 434 439 444 450 455 461 467 473 479 486 492 499 506 513 520 528 536 544 552 561 569 578 588 597 607 618 628 639 651 663 675 688 701 715 729 744 759 775 792 810 828 848 868 889 911 935 959 985 1012 1041 1072 1105 1139 1176 1215 1257 1302 1350 1402 1458 1519 1585 1657 1736 1823 1919 2025 2145 2279 2431 2604 2805 3038 3315 3646 4051 4558 5209 6077 7293 9116 12155 18233 36467 \n396\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 212 213 214 215 216 217 219 220 221 222 224 225 226 228 229 230 232 233 234 236 237 239 240 242 243 245 246 248 249 251 253 254 256 258 259 261 263 265 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 297 299 301 304 306 308 311 313 316 318 321 324 326 329 332 335 338 341 344 347 350 353 356 359 363 366 370 373 377 380 384 388 392 396 400 404 408 412 417 421 426 431 435 440 445 450 456 461 466 472 478 484 490 496 502 509 516 523 530 537 544 552 560 568 576 585 594 603 612 622 632 643 653 664 676 688 700 713 726 740 754 769 784 800 817 834 852 871 891 912 933 956 980 1005 1032 1060 1089 1120 1153 1188 1225 1265 1307 1352 1400 1452 1508 1569 1634 1705 1783 1867 1961 2064 2179 2307 2451 2615 2801 3017 3268 3566 3922 4358 4903 5603 6537 7845 9806 13075 19613 39226 \n148\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 79 80 81 82 83 85 86 87 89 90 92 93 95 97 98 100 102 104 106 108 110 113 115 117 120 123 125 128 131 135 138 142 145 149 153 158 162 167 173 178 184 190 197 205 213 221 230 240 251 263 276 291 307 325 346 369 395 426 461 503 553 615 692 791 923 1107 1384 1846 2769 5538 \n366\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 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1971 2094 2234 2393 2577 2792 3046 3351 3723 4189 4787 5585 6702 8378 11171 16756 33513 \n", "4066\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 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8000 8013 8025 8038 8051 8064 8077 8090 8103 8117 8130 8143 8156 8170 8183 8196 8210 8223 8237 8251 8264 8278 8292 8305 8319 8333 8347 8361 8375 8389 8403 8417 8431 8446 8460 8474 8489 8503 8518 8532 8547 8561 8576 8591 8606 8620 8635 8650 8665 8680 8695 8711 8726 8741 8756 8772 8787 8803 8818 8834 8849 8865 8881 8897 8912 8928 8944 8960 8976 8993 9009 9025 9041 9058 9074 9091 9107 9124 9140 9157 9174 9191 9208 9225 9242 9259 9276 9293 9311 9328 9346 9363 9381 9398 9416 9434 9452 9469 9487 9505 9524 9542 9560 9578 9597 9615 9634 9652 9671 9690 9708 9727 9746 9765 9784 9804 9823 9842 9862 9881 9901 9920 9940 9960 9980 10000 10020 10040 10060 10080 10101 10121 10142 10162 10183 10204 10225 10246 10267 10288 10309 10330 10352 10373 10395 10416 10438 10460 10482 10504 10526 10548 10571 10593 10615 10638 10661 10684 10706 10729 10752 10776 10799 10822 10846 10869 10893 10917 10941 10965 10989 11013 11037 11062 11086 11111 11136 11160 11185 11211 11236 11261 11286 11312 11338 11363 11389 11415 11441 11468 11494 11521 11547 11574 11601 11628 11655 11682 11709 11737 11764 11792 11820 11848 11876 11905 11933 11962 11990 12019 12048 12077 12106 12136 12165 12195 12225 12255 12285 12315 12345 12376 12407 12438 12469 12500 12531 12563 12594 12626 12658 12690 12722 12755 12788 12820 12853 12886 12920 12953 12987 13021 13055 13089 13123 13158 13192 13227 13262 13298 13333 13369 13405 13441 13477 13513 13550 13587 13624 13661 13698 13736 13774 13812 13850 13889 13927 13966 14005 14045 14084 14124 14164 14204 14245 14286 14327 14368 14409 14451 14493 14535 14577 14620 14663 14706 14749 14793 14837 14881 14925 14970 15015 15060 15106 15151 15197 15244 15290 15337 15384 15432 15480 15528 15576 15625 15674 15723 15773 15823 15873 15923 15974 16026 16077 16129 16181 16234 16287 16340 16393 16447 16502 16556 16611 16667 16722 16778 16835 16892 16949 17007 17065 17123 17182 17241 17301 17361 17422 17482 17544 17606 17668 17730 17794 17857 17921 17986 18050 18116 18182 18248 18315 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20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 47 49 53 56 60 65 70 77 84 94 106 121 141 169 212 282 424 848\n", "48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 34 36 39 41 45 48 53 58 65 73 83 97 117 146 195 293 587\n468\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 238 239 240 241 242 243 244 245 246 247 248 249 251 252 253 254 255 256 258 259 260 261 263 264 265 266 268 269 270 272 273 274 276 277 279 280 281 283 284 286 287 289 290 292 294 295 297 298 300 302 303 305 307 308 310 312 314 315 317 319 321 323 325 327 329 331 333 335 337 339 341 343 345 347 350 352 354 357 359 361 364 366 369 371 374 376 379 381 384 387 389 392 395 398 401 404 407 410 413 416 419 422 426 429 432 436 439 443 447 450 454 458 462 465 469 473 478 482 486 490 495 499 504 509 513 518 523 528 533 539 544 549 555 561 566 572 578 584 591 597 604 610 617 624 631 639 646 654 662 670 678 687 695 704 714 723 733 742 753 763 774 785 796 808 820 833 845 859 872 886 901 916 931 947 964 981 999 1018 1037 1057 1078 1099 1122 1145 1169 1195 1221 1249 1278 1309 1341 1374 1409 1446 1485 1527 1570 1617 1666 1718 1773 1832 1895 1963 2036 2114 2199 2290 2390 2499 2618 2749 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29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 229 230 231 232 233 234 235 236 237 239 240 241 242 243 245 246 247 248 250 251 252 254 255 256 258 259 260 262 263 265 266 268 269 271 272 274 275 277 278 280 281 283 285 286 288 290 292 293 295 297 299 301 303 304 306 308 310 312 314 316 318 320 323 325 327 329 331 334 336 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118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 175 176 177 178 179 180 181 182 183 184 185 186 188 189 190 191 192 194 195 196 197 199 200 201 203 204 205 207 208 210 211 213 214 216 217 219 220 222 224 225 227 229 231 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 263 265 267 270 272 275 277 280 282 285 288 291 293 296 299 302 305 308 312 315 318 322 325 329 332 336 340 344 347 352 356 360 364 369 373 378 383 388 393 398 403 409 414 420 426 432 438 445 451 458 465 473 480 488 496 504 513 521 531 540 550 560 571 582 593 605 617 630 644 658 672 688 704 720 738 756 776 796 818 840 865 890 917 946 976 1009 1043 1081 1121 1164 1211 1261 1316 1376 1441 1513 1593 1681 1780 1892 2018 2162 2328 2522 2752 3027 3363 3784 4325 5045 6055 7568 10091 15137 30275\n230\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 120 121 122 123 124 125 126 128 129 130 131 133 134 135 137 138 140 141 143 144 146 148 149 151 153 154 156 158 160 162 164 166 168 170 173 175 177 180 182 185 187 190 193 195 198 201 205 208 211 214 218 222 225 229 233 237 242 246 251 256 261 266 271 277 283 289 296 302 309 317 325 333 341 350 360 370 380 391 403 416 429 444 459 475 493 512 533 555 579 605 634 666 701 740 783 832 888 951 1025 1110 1211 1332 1480 1665 1903 2220 2665 3331 4441 6662 13325\n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 38 40 41 43 45 48 50 53 56 60 64 68 73 80 87 96 106 120 137 160 192 240 320 480 960\n33\n0 1 2 3 4 5 6 7 8 9 10 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15 16 17 18 19 20 21 22 23 24 25 26 28 29 31 33 35 37 40 43 46 51 56 62 70 80 93 112 140 187 280 561\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 53 57 60 64 69 74 80 88 96 107 121 138 161 193 242 323 484 969\n", "51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 32 33 35 37 39 42 45 48 51 56 61 67 75 84 96 112 135 168 225 337 675\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 112 135 169 225 338 676\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n38\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 25 26 29 31 34 37 41 47 53 62 75 94 125 188 377\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 28 30 32 35 38 42 46 52 60 70 84 105 140 210 420\n48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 31 33 35 37 39 42 46 49 54 59 66 74 85 99 119 149 199 299 599\n49\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 31 33 35 37 40 42 46 50 54 60 66 75 85 100 120 150 200 300 600\n", "4185\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 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932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 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26940 27029 27118 27208 27299 27390 27482 27575 27668 27762 27856 27951 28047 28143 28240 28338 28436 28535 28635 28736 28837 28939 29041 29145 29249 29354 29459 29566 29673 29781 29889 29999 30109 30220 30332 30445 30558 30673 30788 30904 31021 31139 31258 31378 31499 31620 31743 31866 31991 32116 32243 32370 32499 32628 32759 32890 33023 33157 33291 33427 33564 33702 33842 33982 34124 34266 34410 34556 34702 34850 34999 35149 35300 35453 35607 35763 35920 36078 36238 36399 36561 36725 36890 37057 37226 37396 37567 37741 37915 38092 38270 38449 38631 38814 38999 39185 39374 39564 39756 39950 40146 40343 40543 40745 40949 41154 41362 41572 41784 41998 42215 42434 42655 42878 43104 43332 43562 43795 44031 44269 44509 44753 44998 45247 45498 45753 46010 46270 46532 46798 47067 47339 47615 47893 48175 48460 48748 49040 49336 49635 49937 50244 50554 50868 51186 51508 51834 52164 52498 52837 53180 53528 53880 54237 54598 54965 55336 55712 56094 56481 56873 57271 57674 58083 58498 58919 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57 72 96 144 288\n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289\n50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 32 34 36 38 40 43 46 49 54 59 64 72 81 92 108 129 162 216 324 649\n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 34 36 38 40 43 46 50 54 59 65 72 81 92 108 130 162 216 325 650\n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89\n19\n0 1 2 3 4 5 6 7 8 9 10 11 12 15 18 22 30 45 90\n33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 288\n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289\n31\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 21 23 25 28 31 36 42 51 63 85 127 255\n21\n0 1 2 3 4 5 6 7 8 9 10 11 13 14 16 19 23 29 39 59 118\n", "435\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 228 229 230 231 232 234 235 236 237 238 240 241 242 243 244 246 247 248 250 251 252 254 255 256 258 259 261 262 264 265 266 268 270 271 273 274 276 277 279 281 282 284 286 288 289 291 293 295 297 298 300 302 304 306 308 310 312 314 316 318 321 323 325 327 330 332 334 337 339 341 344 346 349 352 354 357 360 362 365 368 371 374 377 380 383 386 389 392 396 399 402 406 409 413 416 420 424 428 432 435 440 444 448 452 456 461 465 470 475 480 484 489 495 500 505 511 516 522 528 533 540 546 552 559 565 572 579 586 594 601 609 617 625 633 642 651 660 669 678 688 698 709 720 731 742 754 766 779 792 805 819 833 848 864 880 896 913 931 950 969 990 1011 1033 1056 1080 1105 1131 1159 1188 1218 1250 1284 1320 1357 1397 1440 1485 1533 1584 1638 1697 1760 1827 1900 1980 2066 2160 2263 2376 2501 2640 2795 2970 3168 3394 3655 3960 4320 4752 5280 5940 6789 7920 9504 11880 15841 23761 47523\n436\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 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969 990 1011 1033 1056 1080 1105 1131 1159 1188 1218 1250 1284 1320 1357 1397 1440 1485 1533 1584 1638 1697 1760 1827 1900 1980 2066 2160 2263 2376 2501 2640 2795 2970 3168 3394 3655 3960 4320 4752 5280 5940 6789 7920 9504 11881 15841 23762 47524\n492\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 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34734 34975 35220 35468 35719 35974 36233 36496 36762 37032 37307 37585 37868 38155 38446 38742 39042 39347 39657 39971 40291 40616 40946 41282 41623 41970 42323 42681 43046 43417 43795 44179 44570 44968 45373 45786 46206 46633 47069 47513 47966 48427 48897 49377 49866 50364 50873 51392 51922 52463 53015 53579 54155 54744 55345 55960 56589 57232 57890 58563 59252 59957 60680 61420 62178 62955 63752 64570 65408 66269 67152 68060 68992 69950 70936 71949 72992 74065 75171 76310 77484 78694 79943 81233 82565 83941 85363 86835 88359 89936 91572 93267 95027 96855 98754 100729 102785 104926 107158 109488 111921 114465 117127 119915 122840 125911 129140 132538 136120 139901 143899 148131 152620 157389 162466 167882 173671 179873 186535 193710 201458 209852 218976 228930 239831 251823 265077 279803 296262 314779 335764 359747 387420 419705 457860 503646 559607 629558 719495 839411 1007293 1259117 1678823 2518234 5036469\n", "3\n0 1 2\n4\n0 1 2 4\n5\n0 1 2 3 6\n5\n0 1 2 3 7\n5\n0 1 2 4 8\n6\n0 1 2 3 4 9\n6\n0 1 2 3 5 10\n7\n0 1 2 3 4 6 12\n7\n0 1 2 3 4 6 13\n6\n0 1 2 3 5 10\n", "2982\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 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1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1571 1572 1573 1574 1575 1576 1577 1578 1579 1581 1582 1583 1584 1585 1586 1587 1588 1590 1591 1592 1593 1594 1595 1596 1598 1599 1600 1601 1602 1603 1605 1606 1607 1608 1609 1610 1612 1613 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1888 1890 1891 1893 1894 1896 1898 1899 1901 1902 1904 1906 1907 1909 1911 1912 1914 1916 1917 1919 1921 1922 1924 1926 1927 1929 1931 1932 1934 1936 1937 1939 1941 1942 1944 1946 1947 1949 1951 1953 1954 1956 1958 1959 1961 1963 1965 1966 1968 1970 1972 1973 1975 1977 1979 1980 1982 1984 1986 1987 1989 1991 1993 1995 1996 1998 2000 2002 2004 2005 2007 2009 2011 2013 2015 2016 2018 2020 2022 2024 2026 2027 2029 2031 2033 2035 2037 2039 2040 2042 2044 2046 2048 2050 2052 2054 2055 2057 2059 2061 2063 2065 2067 2069 2071 2073 2075 2077 2079 2080 2082 2084 2086 2088 2090 2092 2094 2096 2098 2100 2102 2104 2106 2108 2110 2112 2114 2116 2118 2120 2122 2124 2126 2128 2130 2132 2134 2136 2139 2141 2143 2145 2147 2149 2151 2153 2155 2157 2159 2161 2163 2166 2168 2170 2172 2174 2176 2178 2180 2183 2185 2187 2189 2191 2193 2196 2198 2200 2202 2204 2206 2209 2211 2213 2215 2217 2220 2222 2224 2226 2229 2231 2233 2235 2237 2240 2242 2244 2247 2249 2251 2253 2256 2258 2260 2263 2265 2267 2269 2272 2274 2276 2279 2281 2283 2286 2288 2291 2293 2295 2298 2300 2302 2305 2307 2310 2312 2314 2317 2319 2322 2324 2326 2329 2331 2334 2336 2339 2341 2344 2346 2349 2351 2354 2356 2359 2361 2364 2366 2369 2371 2374 2376 2379 2381 2384 2386 2389 2392 2394 2397 2399 2402 2404 2407 2410 2412 2415 2418 2420 2423 2425 2428 2431 2433 2436 2439 2441 2444 2447 2449 2452 2455 2458 2460 2463 2466 2469 2471 2474 2477 2480 2482 2485 2488 2491 2493 2496 2499 2502 2505 2507 2510 2513 2516 2519 2522 2525 2527 2530 2533 2536 2539 2542 2545 2548 2551 2554 2556 2559 2562 2565 2568 2571 2574 2577 2580 2583 2586 2589 2592 2595 2598 2601 2604 2607 2610 2614 2617 2620 2623 2626 2629 2632 2635 2638 2642 2645 2648 2651 2654 2657 2660 2664 2667 2670 2673 2676 2680 2683 2686 2689 2693 2696 2699 2703 2706 2709 2712 2716 2719 2722 2726 2729 2732 2736 2739 2742 2746 2749 2753 2756 2760 2763 2766 2770 2773 2777 2780 2784 2787 2791 2794 2798 2801 2805 2808 2812 2815 2819 2823 2826 2830 2833 2837 2841 2844 2848 2852 2855 2859 2863 2866 2870 2874 2877 2881 2885 2889 2892 2896 2900 2904 2907 2911 2915 2919 2923 2927 2930 2934 2938 2942 2946 2950 2954 2958 2962 2966 2970 2974 2978 2981 2986 2990 2994 2998 3002 3006 3010 3014 3018 3022 3026 3030 3034 3039 3043 3047 3051 3055 3059 3064 3068 3072 3076 3081 3085 3089 3093 3098 3102 3106 3111 3115 3120 3124 3128 3133 3137 3142 3146 3150 3155 3159 3164 3168 3173 3177 3182 3187 3191 3196 3200 3205 3210 3214 3219 3224 3228 3233 3238 3242 3247 3252 3257 3261 3266 3271 3276 3281 3285 3290 3295 3300 3305 3310 3315 3320 3325 3330 3335 3340 3345 3350 3355 3360 3365 3370 3375 3380 3385 3391 3396 3401 3406 3411 3417 3422 3427 3432 3438 3443 3448 3454 3459 3465 3470 3475 3481 3486 3492 3497 3503 3508 3514 3519 3525 3531 3536 3542 3547 3553 3559 3565 3570 3576 3582 3588 3593 3599 3605 3611 3617 3623 3628 3634 3640 3646 3652 3658 3664 3670 3676 3683 3689 3695 3701 3707 3713 3720 3726 3732 3738 3745 3751 3757 3764 3770 3776 3783 3789 3796 3802 3809 3815 3822 3828 3835 3842 3848 3855 3862 3868 3875 3882 3889 3895 3902 3909 3916 3923 3930 3937 3944 3951 3958 3965 3972 3979 3986 3993 4001 4008 4015 4022 4030 4037 4044 4052 4059 4066 4074 4081 4089 4096 4104 4111 4119 4127 4134 4142 4150 4158 4165 4173 4181 4189 4197 4205 4213 4221 4229 4237 4245 4253 4261 4269 4278 4286 4294 4302 4311 4319 4327 4336 4344 4353 4361 4370 4379 4387 4396 4405 4413 4422 4431 4440 4449 4458 4467 4475 4485 4494 4503 4512 4521 4530 4539 4549 4558 4567 4577 4586 4596 4605 4615 4624 4634 4644 4653 4663 4673 4683 4693 4703 4713 4723 4733 4743 4753 4763 4773 4784 4794 4804 4815 4825 4836 4846 4857 4867 4878 4889 4899 4910 4921 4932 4943 4954 4965 4976 4987 4999 5010 5021 5032 5044 5055 5067 5078 5090 5102 5113 5125 5137 5149 5161 5173 5185 5197 5209 5221 5234 5246 5259 5271 5284 5296 5309 5321 5334 5347 5360 5373 5386 5399 5412 5425 5439 5452 5465 5479 5492 5506 5520 5533 5547 5561 5575 5589 5603 5617 5631 5646 5660 5674 5689 5704 5718 5733 5748 5763 5778 5793 5808 5823 5838 5854 5869 5885 5900 5916 5932 5948 5963 5980 5996 6012 6028 6045 6061 6078 6094 6111 6128 6145 6162 6179 6196 6213 6231 6248 6266 6284 6301 6319 6337 6355 6374 6392 6410 6429 6448 6466 6485 6504 6523 6542 6562 6581 6601 6620 6640 6660 6680 6700 6720 6741 6761 6782 6802 6823 6844 6865 6887 6908 6930 6951 6973 6995 7017 7039 7062 7084 7107 7130 7152 7176 7199 7222 7246 7269 7293 7317 7341 7366 7390 7415 7440 7465 7490 7515 7540 7566 7592 7618 7644 7670 7697 7724 7751 7778 7805 7832 7860 7888 7916 7944 7973 8002 8030 8060 8089 8118 8148 8178 8208 8239 8269 8300 8331 8363 8394 8426 8458 8490 8523 8556 8589 8622 8655 8689 8723 8758 8792 8827 8862 8898 8934 8970 9006 9042 9079 9117 9154 9192 9230 9269 9307 9346 9386 9426 9466 9506 9547 9588 9630 9672 9714 9756 9799 9843 9886 9931 9975 10020 10065 10111 10157 10204 10251 10298 10346 10395 10443 10493 10542 10593 10643 10695 10746 10798 10851 10904 10958 11012 11067 11122 11178 11235 11292 11349 11408 11466 11526 11586 11646 11708 11770 11832 11896 11960 12024 12090 12156 12222 12290 12358 12427 12497 12568 12639 12711 12784 12858 12933 13009 13085 13163 13241 13320 13401 13482 13564 13647 13731 13817 13903 13991 14079 14169 14260 14352 14445 14539 14635 14732 14830 14930 15030 15133 15236 15341 15448 15556 15665 15777 15889 16004 16120 16237 16357 16478 16601 16726 16852 16981 17112 17244 17379 17516 17655 17796 17940 18085 18234 18384 18538 18693 18852 19013 19177 19344 19513 19686 19862 20041 20223 20408 20597 20790 20986 21186 21390 21597 21809 22025 22245 22470 22699 22933 23172 23416 23665 23920 24180 24445 24717 24995 25279 25569 25867 26171 26482 26802 27128 27463 27807 28159 28520 28890 29270 29660 30061 30473 30896 31331 31779 32240 32714 33202 33705 34224 34758 35310 35880 36468 37076 37704 38354 39027 39724 40446 41195 41973 42780 43619 44491 45399 46345 47331 48360 49434 50558 51734 52965 54257 55614 57040 58541 60123 61793 63559 65428 67411 69517 71760 74152 76709 79448 82391 85560 88982 92690 96720 101116 105931 111228 117082 123587 130857 139035 148304 158897 171120 185380 202233 222457 247174 278071 317795 370761 444914 556142 741523 1112285 2224571\n2983\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 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490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 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2264 2265 2267 2268 2269 2271 2272 2273 2275 2276 2277 2279 2280 2282 2283 2284 2286 2287 2288 2290 2291 2293 2294 2295 2297 2298 2300 2301 2302 2304 2305 2307 2308 2309 2311 2312 2314 2315 2317 2318 2319 2321 2322 2324 2325 2327 2328 2329 2331 2332 2334 2335 2337 2338 2340 2341 2342 2344 2345 2347 2348 2350 2351 2353 2354 2356 2357 2359 2360 2361 2363 2364 2366 2367 2369 2370 2372 2373 2375 2376 2378 2379 2381 2382 2384 2385 2387 2388 2390 2391 2393 2394 2396 2397 2399 2400 2402 2404 2405 2407 2408 2410 2411 2413 2414 2416 2417 2419 2420 2422 2424 2425 2427 2428 2430 2431 2433 2435 2436 2438 2439 2441 2442 2444 2446 2447 2449 2450 2452 2453 2455 2457 2458 2460 2461 2463 2465 2466 2468 2470 2471 2473 2474 2476 2478 2479 2481 2483 2484 2486 2487 2489 2491 2492 2494 2496 2497 2499 2501 2502 2504 2506 2507 2509 2511 2512 2514 2516 2517 2519 2521 2522 2524 2526 2527 2529 2531 2532 2534 2536 2538 2539 2541 2543 2544 2546 2548 2550 2551 2553 2555 2556 2558 2560 2562 2563 2565 2567 2569 2570 2572 2574 2576 2577 2579 2581 2583 2584 2586 2588 2590 2592 2593 2595 2597 2599 2600 2602 2604 2606 2608 2609 2611 2613 2615 2617 2618 2620 2622 2624 2626 2628 2629 2631 2633 2635 2637 2639 2640 2642 2644 2646 2648 2650 2652 2653 2655 2657 2659 2661 2663 2665 2666 2668 2670 2672 2674 2676 2678 2680 2682 2684 2685 2687 2689 2691 2693 2695 2697 2699 2701 2703 2705 2707 2709 2711 2712 2714 2716 2718 2720 2722 2724 2726 2728 2730 2732 2734 2736 2738 2740 2742 2744 2746 2748 2750 2752 2754 2756 2758 2760 2762 2764 2766 2768 2770 2772 2774 2776 2778 2780 2782 2784 2786 2789 2791 2793 2795 2797 2799 2801 2803 2805 2807 2809 2811 2813 2816 2818 2820 2822 2824 2826 2828 2830 2832 2835 2837 2839 2841 2843 2845 2847 2850 2852 2854 2856 2858 2860 2862 2865 2867 2869 2871 2873 2876 2878 2880 2882 2884 2887 2889 2891 2893 2895 2898 2900 2902 2904 2907 2909 2911 2913 2916 2918 2920 2922 2925 2927 2929 2931 2934 2936 2938 2940 2943 2945 2947 2950 2952 2954 2957 2959 2961 2964 2966 2968 2971 2973 2975 2978 2980 2982 2985 2987 2989 2992 2994 2996 2999 3001 3004 3006 3008 3011 3013 3016 3018 3020 3023 3025 3028 3030 3033 3035 3037 3040 3042 3045 3047 3050 3052 3055 3057 3060 3062 3064 3067 3069 3072 3074 3077 3079 3082 3085 3087 3090 3092 3095 3097 3100 3102 3105 3107 3110 3112 3115 3118 3120 3123 3125 3128 3131 3133 3136 3138 3141 3144 3146 3149 3151 3154 3157 3159 3162 3165 3167 3170 3173 3175 3178 3181 3183 3186 3189 3191 3194 3197 3199 3202 3205 3208 3210 3213 3216 3219 3221 3224 3227 3230 3232 3235 3238 3241 3243 3246 3249 3252 3255 3257 3260 3263 3266 3269 3271 3274 3277 3280 3283 3286 3289 3291 3294 3297 3300 3303 3306 3309 3312 3315 3317 3320 3323 3326 3329 3332 3335 3338 3341 3344 3347 3350 3353 3356 3359 3362 3365 3368 3371 3374 3377 3380 3383 3386 3389 3392 3395 3398 3401 3404 3407 3410 3413 3416 3420 3423 3426 3429 3432 3435 3438 3441 3444 3448 3451 3454 3457 3460 3463 3467 3470 3473 3476 3479 3483 3486 3489 3492 3495 3499 3502 3505 3508 3512 3515 3518 3522 3525 3528 3531 3535 3538 3541 3545 3548 3551 3555 3558 3561 3565 3568 3571 3575 3578 3582 3585 3588 3592 3595 3599 3602 3606 3609 3612 3616 3619 3623 3626 3630 3633 3637 3640 3644 3647 3651 3654 3658 3661 3665 3669 3672 3676 3679 3683 3686 3690 3694 3697 3701 3705 3708 3712 3715 3719 3723 3726 3730 3734 3738 3741 3745 3749 3752 3756 3760 3764 3767 3771 3775 3779 3782 3786 3790 3794 3798 3801 3805 3809 3813 3817 3821 3825 3828 3832 3836 3840 3844 3848 3852 3856 3860 3864 3868 3872 3876 3880 3884 3888 3892 3896 3900 3904 3908 3912 3916 3920 3924 3928 3932 3936 3940 3944 3948 3953 3957 3961 3965 3969 3973 3978 3982 3986 3990 3994 3999 4003 4007 4011 4016 4020 4024 4028 4033 4037 4041 4046 4050 4054 4059 4063 4067 4072 4076 4081 4085 4089 4094 4098 4103 4107 4112 4116 4121 4125 4130 4134 4139 4143 4148 4152 4157 4162 4166 4171 4175 4180 4185 4189 4194 4199 4203 4208 4213 4217 4222 4227 4231 4236 4241 4246 4250 4255 4260 4265 4270 4275 4279 4284 4289 4294 4299 4304 4309 4314 4319 4323 4328 4333 4338 4343 4348 4353 4358 4363 4368 4374 4379 4384 4389 4394 4399 4404 4409 4414 4420 4425 4430 4435 4440 4446 4451 4456 4461 4467 4472 4477 4482 4488 4493 4498 4504 4509 4515 4520 4525 4531 4536 4542 4547 4553 4558 4564 4569 4575 4580 4586 4591 4597 4603 4608 4614 4619 4625 4631 4636 4642 4648 4654 4659 4665 4671 4677 4682 4688 4694 4700 4706 4712 4718 4723 4729 4735 4741 4747 4753 4759 4765 4771 4777 4783 4789 4795 4801 4808 4814 4820 4826 4832 4838 4845 4851 4857 4863 4870 4876 4882 4888 4895 4901 4907 4914 4920 4927 4933 4940 4946 4952 4959 4966 4972 4979 4985 4992 4998 5005 5012 5018 5025 5032 5038 5045 5052 5059 5065 5072 5079 5086 5093 5100 5106 5113 5120 5127 5134 5141 5148 5155 5162 5169 5176 5184 5191 5198 5205 5212 5219 5227 5234 5241 5248 5256 5263 5270 5278 5285 5292 5300 5307 5315 5322 5330 5337 5345 5352 5360 5368 5375 5383 5391 5398 5406 5414 5422 5429 5437 5445 5453 5461 5469 5477 5484 5492 5500 5508 5516 5525 5533 5541 5549 5557 5565 5573 5582 5590 5598 5607 5615 5623 5632 5640 5648 5657 5665 5674 5682 5691 5700 5708 5717 5725 5734 5743 5752 5760 5769 5778 5787 5796 5805 5814 5823 5832 5841 5850 5859 5868 5877 5886 5895 5904 5914 5923 5932 5942 5951 5960 5970 5979 5989 5998 6008 6017 6027 6036 6046 6056 6066 6075 6085 6095 6105 6115 6125 6134 6144 6154 6164 6175 6185 6195 6205 6215 6225 6236 6246 6256 6267 6277 6288 6298 6309 6319 6330 6340 6351 6362 6372 6383 6394 6405 6416 6427 6438 6449 6460 6471 6482 6493 6504 6515 6527 6538 6549 6561 6572 6583 6595 6606 6618 6630 6641 6653 6665 6676 6688 6700 6712 6724 6736 6748 6760 6772 6784 6797 6809 6821 6833 6846 6858 6871 6883 6896 6908 6921 6934 6946 6959 6972 6985 6998 7011 7024 7037 7050 7063 7077 7090 7103 7117 7130 7143 7157 7171 7184 7198 7212 7225 7239 7253 7267 7281 7295 7309 7323 7338 7352 7366 7381 7395 7410 7424 7439 7453 7468 7483 7498 7513 7528 7543 7558 7573 7588 7603 7619 7634 7650 7665 7681 7696 7712 7728 7744 7760 7776 7792 7808 7824 7840 7856 7873 7889 7906 7922 7939 7956 7972 7989 8006 8023 8040 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13167 13213 13260 13306 13353 13401 13448 13496 13545 13594 13643 13692 13742 13792 13842 13893 13945 13996 14048 14101 14154 14207 14260 14314 14369 14424 14479 14535 14591 14647 14704 14762 14820 14878 14937 14996 15056 15116 15177 15238 15300 15362 15425 15488 15552 15616 15681 15746 15812 15878 15945 16013 16081 16150 16219 16289 16359 16431 16502 16575 16648 16721 16796 16871 16946 17023 17100 17177 17256 17335 17415 17496 17577 17659 17742 17826 17910 17995 18081 18168 18256 18345 18434 18525 18616 18708 18801 18895 18990 19086 19183 19281 19380 19480 19581 19683 19786 19890 19995 20101 20209 20317 20427 20538 20651 20764 20879 20995 21112 21231 21351 21472 21595 21719 21844 21971 22100 22230 22361 22494 22629 22765 22903 23043 23184 23328 23472 23619 23768 23918 24070 24225 24381 24539 24700 24862 25027 25194 25363 25534 25708 25884 26063 26244 26427 26613 26802 26993 27188 27385 27584 27787 27993 28202 28414 28629 28848 29070 29295 29524 29756 29993 30233 30476 30724 30976 31232 31492 31757 32026 32300 32578 32862 33150 33443 33742 34046 34355 34670 34992 35319 35652 35991 36337 36690 37050 37417 37791 38173 38562 38960 39366 39780 40203 40635 41077 41528 41990 42462 42944 43438 43943 44460 44989 45531 46087 46656 47239 47837 48450 49079 49725 50388 51069 51768 52488 53227 53987 54770 55575 56405 57259 58140 59049 59986 60953 61953 62985 64053 65157 66300 67484 68711 69984 71304 72675 74100 75582 77125 78732 80407 82155 83980 85889 87886 89979 92174 94478 96900 99450 102138 104976 107975 111151 114519 118098 121907 125971 130315 134969 139968 145351 151165 157464 164310 171778 179958 188956 198901 209952 222302 236196 251942 269938 290702 314928 343557 377913 419904 472392 539876 629856 755827 944784 1259712 1889568 3779136\n", "13\n0 1 2 3 4 5 6 8 9 12 16 24 48\n10\n0 1 2 3 4 5 6 8 12 25\n10\n0 1 2 3 4 5 7 9 14 29\n11\n0 1 2 3 4 5 6 7 10 15 30\n19\n0 1 2 3 4 5 6 7 8 9 11 12 14 16 19 24 33 49 99\n20\n0 1 2 3 4 5 6 7 8 9 10 11 12 14 16 20 25 33 50 100\n20\n0 1 2 3 4 5 6 7 8 9 10 12 13 15 18 21 27 36 54 109\n21\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 18 22 27 36 55 110\n29\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 22 24 28 32 37 44 56 74 112 224\n30\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 22 25 28 32 37 45 56 75 112 225\n", "54\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 36 38 40 43 45 48 52 56 60 66 73 81 91 104 121 146 182 243 365 731\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 29 31 34 37 41 46 51 59 69 82 103 138 207 414\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 36 37 39 41 43 45 48 51 54 57 62 66 72 79 86 96 108 124 144 173 217 289 434 869\n35\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 31 34 39 44 52 62 78 104 157 314\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 46 49 52 56 60 64 70 76 84 93 105 120 140 168 210 280 421 842\n59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 41 43 45 48 51 54 58 62 67 72 79 87 96 108 124 145 174 217 290 435 871\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 20 22 25 29 34 40 51 68 102 204\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 40 42 44 46 48 51 54 57 61 65 69 75 81 88 97 108 122 139 163 195 244 326 489 978\n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 27 28 31 33 36 39 43 48 54 62 72 86 108 144 217 434\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 113 135 169 226 339 678\n", "32\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 27 30 33 38 45 54 67 90 135 271\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 28 33 39 49 66 99 198\n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89\n19\n0 1 2 3 4 5 6 7 8 9 10 11 12 15 18 22 30 45 90\n60\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 37 38 40 42 44 46 48 51 54 58 61 66 71 77 84 92 103 116 132 154 185 232 309 464 929\n61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 54 58 62 66 71 77 84 93 103 116 132 155 186 232 310 465 930\n", "555\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 292 293 294 295 296 297 298 299 301 302 303 304 305 307 308 309 310 312 313 314 315 317 318 319 321 322 323 325 326 328 329 330 332 333 335 336 338 339 341 342 344 345 347 348 350 352 353 355 356 358 360 361 363 365 367 368 370 372 374 376 377 379 381 383 385 387 389 391 393 395 397 399 401 403 405 407 410 412 414 416 418 421 423 425 428 430 433 435 438 440 443 445 448 450 453 456 458 461 464 467 470 472 475 478 481 484 487 491 494 497 500 503 507 510 513 517 520 524 528 531 535 539 542 546 550 554 558 562 566 571 575 579 584 588 593 597 602 607 611 616 621 626 631 637 642 647 653 658 664 670 676 682 688 694 700 707 713 720 727 734 741 748 755 763 770 778 786 794 803 811 820 828 837 847 856 866 876 886 896 906 917 928 940 951 963 975 988 1001 1014 1027 1041 1056 1070 1085 1101 1117 1133 1150 1168 1186 1204 1223 1243 1263 1284 1306 1329 1352 1376 1401 1427 1454 1482 1511 1541 1573 1606 1640 1675 1713 1752 1792 1835 1880 1927 1976 2028 2083 2141 2202 2267 2336 2409 2486 2569 2658 2753 2855 2965 3083 3212 3351 3504 3671 3854 4057 4282 4534 4818 5139 5506 5930 6424 7008 7709 8565 9636 11013 12848 15418 19272 25697 38545 77091\n261\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 138 139 140 141 142 143 145 146 147 148 150 151 152 154 155 157 158 159 161 163 164 166 167 169 171 172 174 176 178 180 182 184 186 188 190 192 194 196 199 201 203 206 208 211 213 216 219 222 225 228 231 234 237 241 244 248 251 255 259 263 267 271 276 280 285 290 295 300 305 311 316 322 329 335 342 349 356 364 372 380 388 398 407 417 427 438 450 462 475 489 503 518 534 552 570 590 611 633 658 684 713 744 777 815 855 900 950 1006 1069 1141 1222 1316 1426 1555 1711 1901 2139 2445 2852 3423 4278 5705 8557 17115\n247\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 134 135 136 137 139 140 141 142 144 145 147 148 149 151 152 154 156 157 159 160 162 164 166 168 169 171 173 175 177 179 182 184 186 188 191 193 196 198 201 203 206 209 212 215 218 221 224 228 231 235 238 242 246 250 254 259 263 268 273 278 283 288 294 299 305 312 318 325 332 339 347 355 364 373 382 392 402 413 424 436 449 463 477 493 509 527 546 566 588 611 637 664 695 728 764 804 849 899 955 1019 1092 1176 1274 1390 1529 1699 1911 2184 2549 3058 3823 5098 7647 15294\n381\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 195 196 197 198 199 200 201 202 203 204 206 207 208 209 210 212 213 214 215 217 218 219 221 222 223 225 226 227 229 230 232 233 235 236 238 239 241 243 244 246 248 249 251 253 255 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 287 289 291 294 296 298 301 303 306 309 311 314 317 319 322 325 328 331 334 337 340 344 347 350 354 357 361 364 368 372 375 379 383 387 392 396 400 405 409 414 419 424 429 434 439 444 450 455 461 467 473 479 486 492 499 506 513 520 528 536 544 552 561 569 578 588 597 607 618 628 639 651 663 675 688 701 715 729 744 759 775 792 810 828 848 868 889 911 935 959 985 1012 1041 1072 1105 1139 1176 1215 1257 1302 1350 1402 1458 1519 1585 1657 1736 1823 1919 2025 2145 2279 2431 2604 2805 3038 3315 3646 4051 4558 5209 6077 7293 9116 12155 18233 36467\n396\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 212 213 214 215 216 217 219 220 221 222 224 225 226 228 229 230 232 233 234 236 237 239 240 242 243 245 246 248 249 251 253 254 256 258 259 261 263 265 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 297 299 301 304 306 308 311 313 316 318 321 324 326 329 332 335 338 341 344 347 350 353 356 359 363 366 370 373 377 380 384 388 392 396 400 404 408 412 417 421 426 431 435 440 445 450 456 461 466 472 478 484 490 496 502 509 516 523 530 537 544 552 560 568 576 585 594 603 612 622 632 643 653 664 676 688 700 713 726 740 754 769 784 800 817 834 852 871 891 912 933 956 980 1005 1032 1060 1089 1120 1153 1188 1225 1265 1307 1352 1400 1452 1508 1569 1634 1705 1783 1867 1961 2064 2179 2307 2451 2615 2801 3017 3268 3566 3922 4358 4903 5603 6537 7845 9806 13075 19613 39226\n148\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 79 80 81 82 83 85 86 87 89 90 92 93 95 97 98 100 102 104 106 108 110 113 115 117 120 123 125 128 131 135 138 142 145 149 153 158 162 167 173 178 184 190 197 205 213 221 230 240 251 263 276 291 307 325 346 369 395 426 461 503 553 615 692 791 923 1107 1384 1846 2769 5538\n366\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 197 198 199 200 201 203 204 205 206 208 209 210 212 213 214 216 217 219 220 221 223 224 226 227 229 231 232 234 236 237 239 241 242 244 246 248 250 251 253 255 257 259 261 263 265 268 270 272 274 276 279 281 284 286 288 291 293 296 299 301 304 307 310 313 316 319 322 325 328 331 335 338 341 345 349 352 356 360 364 368 372 376 380 385 389 394 398 403 408 413 418 424 429 435 440 446 452 459 465 472 478 485 492 500 507 515 523 531 540 549 558 568 577 587 598 609 620 632 644 657 670 683 698 713 728 744 761 779 797 817 837 859 881 905 930 957 985 1015 1047 1081 1117 1155 1196 1241 1288 1340 1396 1457 1523 1595 1675 1763 1861 1971 2094 2234 2393 2577 2792 3046 3351 3723 4189 4787 5585 6702 8378 11171 16756 33513\n", "4066\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 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685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 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1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 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3136 3139 3141 3144 3146 3148 3151 3153 3156 3158 3160 3163 3165 3168 3170 3172 3175 3177 3180 3182 3185 3187 3190 3192 3195 3197 3199 3202 3204 3207 3209 3212 3214 3217 3219 3222 3224 3227 3229 3232 3235 3237 3240 3242 3245 3247 3250 3252 3255 3257 3260 3263 3265 3268 3270 3273 3276 3278 3281 3283 3286 3289 3291 3294 3296 3299 3302 3304 3307 3310 3312 3315 3318 3320 3323 3326 3328 3331 3334 3336 3339 3342 3344 3347 3350 3353 3355 3358 3361 3364 3366 3369 3372 3375 3377 3380 3383 3386 3388 3391 3394 3397 3399 3402 3405 3408 3411 3414 3416 3419 3422 3425 3428 3431 3433 3436 3439 3442 3445 3448 3451 3453 3456 3459 3462 3465 3468 3471 3474 3477 3480 3483 3485 3488 3491 3494 3497 3500 3503 3506 3509 3512 3515 3518 3521 3524 3527 3530 3533 3536 3539 3542 3545 3548 3551 3554 3557 3561 3564 3567 3570 3573 3576 3579 3582 3585 3588 3591 3595 3598 3601 3604 3607 3610 3613 3617 3620 3623 3626 3629 3633 3636 3639 3642 3645 3649 3652 3655 3658 3661 3665 3668 3671 3675 3678 3681 3684 3688 3691 3694 3698 3701 3704 3707 3711 3714 3717 3721 3724 3728 3731 3734 3738 3741 3744 3748 3751 3755 3758 3761 3765 3768 3772 3775 3779 3782 3786 3789 3793 3796 3799 3803 3806 3810 3814 3817 3821 3824 3828 3831 3835 3838 3842 3845 3849 3853 3856 3860 3863 3867 3871 3874 3878 3882 3885 3889 3893 3896 3900 3904 3907 3911 3915 3918 3922 3926 3930 3933 3937 3941 3945 3948 3952 3956 3960 3963 3967 3971 3975 3979 3983 3986 3990 3994 3998 4002 4006 4010 4013 4017 4021 4025 4029 4033 4037 4041 4045 4049 4053 4057 4061 4065 4069 4073 4077 4081 4085 4089 4093 4097 4101 4105 4109 4113 4117 4122 4126 4130 4134 4138 4142 4146 4150 4155 4159 4163 4167 4171 4176 4180 4184 4188 4193 4197 4201 4205 4210 4214 4218 4223 4227 4231 4236 4240 4244 4249 4253 4257 4262 4266 4271 4275 4279 4284 4288 4293 4297 4302 4306 4311 4315 4320 4324 4329 4333 4338 4342 4347 4351 4356 4361 4365 4370 4375 4379 4384 4388 4393 4398 4402 4407 4412 4417 4421 4426 4431 4436 4440 4445 4450 4455 4459 4464 4469 4474 4479 4484 4489 4493 4498 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2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2354 2355 2356 2357 2358 2359 2360 2361 2363 2364 2365 2366 2367 2368 2369 2370 2371 2373 2374 2375 2376 2377 2378 2379 2381 2382 2383 2384 2385 2386 2387 2388 2390 2391 2392 2393 2394 2395 2396 2398 2399 2400 2401 2402 2403 2405 2406 2407 2408 2409 2410 2412 2413 2414 2415 2416 2417 2419 2420 2421 2422 2423 2424 2426 2427 2428 2429 2430 2431 2433 2434 2435 2436 2437 2439 2440 2441 2442 2443 2445 2446 2447 2448 2449 2451 2452 2453 2454 2455 2457 2458 2459 2460 2461 2463 2464 2465 2466 2467 2469 2470 2471 2472 2474 2475 2476 2477 2478 2480 2481 2482 2483 2485 2486 2487 2488 2490 2491 2492 2493 2495 2496 2497 2498 2500 2501 2502 2503 2505 2506 2507 2508 2510 2511 2512 2513 2515 2516 2517 2518 2520 2521 2522 2524 2525 2526 2527 2529 2530 2531 2532 2534 2535 2536 2538 2539 2540 2542 2543 2544 2545 2547 2548 2549 2551 2552 2553 2554 2556 2557 2558 2560 2561 2562 2564 2565 2566 2568 2569 2570 2572 2573 2574 2576 2577 2578 2580 2581 2582 2584 2585 2586 2588 2589 2590 2592 2593 2594 2596 2597 2598 2600 2601 2602 2604 2605 2606 2608 2609 2611 2612 2613 2615 2616 2617 2619 2620 2621 2623 2624 2626 2627 2628 2630 2631 2633 2634 2635 2637 2638 2639 2641 2642 2644 2645 2646 2648 2649 2651 2652 2653 2655 2656 2658 2659 2661 2662 2663 2665 2666 2668 2669 2671 2672 2673 2675 2676 2678 2679 2681 2682 2683 2685 2686 2688 2689 2691 2692 2694 2695 2696 2698 2699 2701 2702 2704 2705 2707 2708 2710 2711 2713 2714 2715 2717 2718 2720 2721 2723 2724 2726 2727 2729 2730 2732 2733 2735 2736 2738 2739 2741 2742 2744 2745 2747 2748 2750 2751 2753 2754 2756 2757 2759 2760 2762 2764 2765 2767 2768 2770 2771 2773 2774 2776 2777 2779 2780 2782 2784 2785 2787 2788 2790 2791 2793 2794 2796 2798 2799 2801 2802 2804 2805 2807 2809 2810 2812 2813 2815 2816 2818 2820 2821 2823 2824 2826 2828 2829 2831 2832 2834 2836 2837 2839 2840 2842 2844 2845 2847 2849 2850 2852 2853 2855 2857 2858 2860 2862 2863 2865 2867 2868 2870 2871 2873 2875 2876 2878 2880 2881 2883 2885 2886 2888 2890 2891 2893 2895 2896 2898 2900 2901 2903 2905 2907 2908 2910 2912 2913 2915 2917 2918 2920 2922 2924 2925 2927 2929 2930 2932 2934 2936 2937 2939 2941 2942 2944 2946 2948 2949 2951 2953 2955 2956 2958 2960 2962 2963 2965 2967 2969 2970 2972 2974 2976 2978 2979 2981 2983 2985 2986 2988 2990 2992 2994 2995 2997 2999 3001 3003 3004 3006 3008 3010 3012 3013 3015 3017 3019 3021 3023 3024 3026 3028 3030 3032 3034 3035 3037 3039 3041 3043 3045 3046 3048 3050 3052 3054 3056 3058 3060 3061 3063 3065 3067 3069 3071 3073 3075 3076 3078 3080 3082 3084 3086 3088 3090 3092 3094 3096 3097 3099 3101 3103 3105 3107 3109 3111 3113 3115 3117 3119 3121 3123 3125 3127 3128 3130 3132 3134 3136 3138 3140 3142 3144 3146 3148 3150 3152 3154 3156 3158 3160 3162 3164 3166 3168 3170 3172 3174 3176 3178 3180 3182 3184 3186 3188 3190 3192 3194 3197 3199 3201 3203 3205 3207 3209 3211 3213 3215 3217 3219 3221 3223 3225 3227 3230 3232 3234 3236 3238 3240 3242 3244 3246 3248 3251 3253 3255 3257 3259 3261 3263 3265 3268 3270 3272 3274 3276 3278 3280 3283 3285 3287 3289 3291 3293 3296 3298 3300 3302 3304 3306 3309 3311 3313 3315 3317 3320 3322 3324 3326 3328 3331 3333 3335 3337 3340 3342 3344 3346 3349 3351 3353 3355 3358 3360 3362 3364 3367 3369 3371 3373 3376 3378 3380 3383 3385 3387 3389 3392 3394 3396 3399 3401 3403 3406 3408 3410 3413 3415 3417 3420 3422 3424 3427 3429 3431 3434 3436 3438 3441 3443 3445 3448 3450 3453 3455 3457 3460 3462 3465 3467 3469 3472 3474 3477 3479 3481 3484 3486 3489 3491 3494 3496 3499 3501 3503 3506 3508 3511 3513 3516 3518 3521 3523 3526 3528 3531 3533 3536 3538 3541 3543 3546 3548 3551 3553 3556 3558 3561 3563 3566 3568 3571 3574 3576 3579 3581 3584 3586 3589 3592 3594 3597 3599 3602 3604 3607 3610 3612 3615 3618 3620 3623 3625 3628 3631 3633 3636 3639 3641 3644 3647 3649 3652 3655 3657 3660 3663 3665 3668 3671 3673 3676 3679 3681 3684 3687 3690 3692 3695 3698 3701 3703 3706 3709 3712 3714 3717 3720 3723 3725 3728 3731 3734 3737 3739 3742 3745 3748 3751 3753 3756 3759 3762 3765 3767 3770 3773 3776 3779 3782 3785 3787 3790 3793 3796 3799 3802 3805 3808 3811 3813 3816 3819 3822 3825 3828 3831 3834 3837 3840 3843 3846 3849 3852 3855 3858 3861 3864 3867 3870 3873 3876 3879 3882 3885 3888 3891 3894 3897 3900 3903 3906 3909 3912 3915 3918 3921 3924 3927 3930 3934 3937 3940 3943 3946 3949 3952 3955 3958 3962 3965 3968 3971 3974 3977 3980 3984 3987 3990 3993 3996 4000 4003 4006 4009 4012 4016 4019 4022 4025 4029 4032 4035 4038 4042 4045 4048 4051 4055 4058 4061 4065 4068 4071 4075 4078 4081 4085 4088 4091 4095 4098 4101 4105 4108 4111 4115 4118 4122 4125 4128 4132 4135 4139 4142 4146 4149 4152 4156 4159 4163 4166 4170 4173 4177 4180 4184 4187 4191 4194 4198 4201 4205 4208 4212 4215 4219 4223 4226 4230 4233 4237 4240 4244 4248 4251 4255 4259 4262 4266 4269 4273 4277 4280 4284 4288 4291 4295 4299 4303 4306 4310 4314 4317 4321 4325 4329 4332 4336 4340 4344 4347 4351 4355 4359 4363 4366 4370 4374 4378 4382 4386 4389 4393 4397 4401 4405 4409 4413 4417 4420 4424 4428 4432 4436 4440 4444 4448 4452 4456 4460 4464 4468 4472 4476 4480 4484 4488 4492 4496 4500 4504 4508 4512 4516 4520 4524 4529 4533 4537 4541 4545 4549 4553 4557 4562 4566 4570 4574 4578 4583 4587 4591 4595 4599 4604 4608 4612 4616 4621 4625 4629 4634 4638 4642 4646 4651 4655 4659 4664 4668 4673 4677 4681 4686 4690 4694 4699 4703 4708 4712 4717 4721 4726 4730 4734 4739 4743 4748 4752 4757 4762 4766 4771 4775 4780 4784 4789 4793 4798 4803 4807 4812 4817 4821 4826 4831 4835 4840 4845 4849 4854 4859 4863 4868 4873 4878 4882 4887 4892 4897 4902 4906 4911 4916 4921 4926 4931 4935 4940 4945 4950 4955 4960 4965 4970 4975 4980 4985 4990 4995 5000 5005 5010 5015 5020 5025 5030 5035 5040 5045 5050 5055 5060 5065 5071 5076 5081 5086 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12438 12469 12500 12531 12563 12594 12626 12658 12690 12722 12755 12788 12820 12853 12886 12920 12953 12987 13021 13055 13089 13123 13158 13192 13227 13262 13298 13333 13369 13405 13441 13477 13513 13550 13587 13624 13661 13698 13736 13774 13812 13850 13889 13927 13966 14005 14045 14084 14124 14164 14204 14245 14286 14327 14368 14409 14451 14493 14535 14577 14620 14663 14706 14749 14793 14837 14881 14925 14970 15015 15060 15106 15151 15197 15244 15290 15337 15384 15432 15480 15528 15576 15625 15674 15723 15773 15823 15873 15923 15974 16026 16077 16129 16181 16234 16287 16340 16393 16447 16502 16556 16611 16667 16722 16778 16835 16892 16949 17007 17065 17123 17182 17241 17301 17361 17422 17482 17544 17606 17668 17730 17794 17857 17921 17986 18050 18116 18182 18248 18315 18382 18450 18518 18587 18657 18727 18797 18868 18939 19011 19084 19157 19231 19305 19380 19455 19531 19608 19685 19763 19841 19920 20000 20080 20161 20243 20325 20408 20492 20576 20661 20747 20833 20921 21008 21097 21186 21277 21368 21459 21552 21645 21739 21834 21930 22026 22124 22222 22321 22422 22523 22624 22727 22831 22936 23042 23148 23256 23365 23474 23585 23697 23810 23924 24039 24155 24272 24390 24510 24631 24753 24876 25000 25126 25253 25381 25510 25641 25773 25907 26042 26178 26316 26455 26596 26738 26882 27027 27174 27323 27473 27624 27778 27933 28090 28249 28409 28572 28736 28902 29070 29240 29412 29586 29762 29940 30121 30303 30488 30675 30864 31056 31250 31447 31646 31847 32052 32258 32468 32680 32895 33113 33334 33557 33784 34014 34247 34483 34723 34965 35212 35461 35715 35972 36232 36497 36765 37037 37314 37594 37879 38168 38462 38760 39063 39371 39683 40000 40323 40651 40984 41323 41667 42017 42373 42736 43104 43479 43860 44248 44643 45046 45455 45872 46297 46730 47170 47620 48078 48544 49020 49506 50001 50506 51021 51547 52084 52632 53192 53764 54349 54946 55556 56181 56819 57472 58140 58824 59525 60242 60977 61729 62501 63292 64104 64936 65791 66668 67569 68494 69446 70424 71430 72465 73531 74628 75759 76924 78126 79367 80647 81969 83335 84747 86209 87721 89287 90911 92594 94341 96156 98041 100002 102043 104169 106385 108698 111113 113639 116281 119050 121954 125003 128208 131582 135138 138892 142860 147062 151518 156253 161294 166670 172418 178575 185189 192312 200004 208338 217396 227278 238101 250006 263164 277784 294124 312507 333341 357151 384624 416677 454556 500012 555569 625015 714303 833354 1000024 1250031 1666708 2500062 5000124\n", "64\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 41 43 45 47 49 52 54 57 61 65 69 74 80 86 94 104 115 130 148 173 208 260 346 520 1040\n19\n0 1 2 3 4 5 6 7 8 9 10 11 13 15 18 23 31 47 94\n77\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 49 51 53 55 57 59 62 64 67 71 74 78 83 87 93 99 106 114 124 135 149 166 186 213 249 298 373 498 747 1494\n", "48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 34 36 39 41 45 48 53 58 65 73 83 97 117 146 195 293 587\n468\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 238 239 240 241 242 243 244 245 246 247 248 249 251 252 253 254 255 256 258 259 260 261 263 264 265 266 268 269 270 272 273 274 276 277 279 280 281 283 284 286 287 289 290 292 294 295 297 298 300 302 303 305 307 308 310 312 314 315 317 319 321 323 325 327 329 331 333 335 337 339 341 343 345 347 350 352 354 357 359 361 364 366 369 371 374 376 379 381 384 387 389 392 395 398 401 404 407 410 413 416 419 422 426 429 432 436 439 443 447 450 454 458 462 465 469 473 478 482 486 490 495 499 504 509 513 518 523 528 533 539 544 549 555 561 566 572 578 584 591 597 604 610 617 624 631 639 646 654 662 670 678 687 695 704 714 723 733 742 753 763 774 785 796 808 820 833 845 859 872 886 901 916 931 947 964 981 999 1018 1037 1057 1078 1099 1122 1145 1169 1195 1221 1249 1278 1309 1341 1374 1409 1446 1485 1527 1570 1617 1666 1718 1773 1832 1895 1963 2036 2114 2199 2290 2390 2499 2618 2749 2893 3054 3234 3436 3665 3927 4229 4581 4998 5498 6109 6872 7854 9163 10996 13745 18327 27490 54981\n277\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 150 151 152 153 154 156 157 158 160 161 162 164 165 167 168 170 171 173 174 176 177 179 181 183 184 186 188 190 192 194 196 198 200 202 204 206 208 211 213 215 218 220 223 226 228 231 234 237 240 243 246 249 252 256 259 263 266 270 274 278 282 286 291 295 300 305 309 315 320 325 331 337 343 349 355 362 369 376 384 392 400 408 417 427 436 446 457 468 480 492 505 519 533 549 565 582 600 619 640 662 686 711 739 768 800 835 873 915 960 1011 1067 1130 1200 1281 1372 1478 1601 1746 1921 2135 2401 2745 3202 3843 4803 6405 9607 19215\n441\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 229 230 231 232 233 234 235 236 237 239 240 241 242 243 245 246 247 248 250 251 252 254 255 256 258 259 260 262 263 265 266 268 269 271 272 274 275 277 278 280 281 283 285 286 288 290 292 293 295 297 299 301 303 304 306 308 310 312 314 316 318 320 323 325 327 329 331 334 336 338 341 343 345 348 350 353 356 358 361 364 366 369 372 375 378 381 384 387 390 393 396 399 403 406 409 413 416 420 424 427 431 435 439 443 447 451 455 460 464 469 473 478 483 487 492 497 502 508 513 518 524 530 536 542 548 554 560 567 573 580 587 594 602 609 617 625 633 641 650 659 668 677 687 696 707 717 728 739 750 762 774 786 799 813 826 841 855 871 886 903 920 938 956 975 995 1016 1037 1060 1084 1108 1134 1161 1189 1219 1250 1283 1318 1355 1393 1434 1478 1524 1573 1626 1682 1742 1806 1876 1951 2032 2121 2217 2323 2439 2567 2710 2869 3049 3252 3484 3752 4065 4434 4878 5420 6098 6969 8130 9756 12196 16261 24392 48784\n", "479\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 253 254 255 256 257 258 259 261 262 263 264 265 267 268 269 270 272 273 274 276 277 278 280 281 282 284 285 287 288 290 291 293 294 296 297 299 300 302 303 305 307 308 310 312 313 315 317 319 320 322 324 326 328 330 332 333 335 337 339 341 343 346 348 350 352 354 356 358 361 363 365 368 370 372 375 377 380 382 385 388 390 393 396 398 401 404 407 410 413 416 419 422 425 428 431 435 438 441 445 448 452 455 459 463 466 470 474 478 482 486 490 495 499 503 508 512 517 522 526 531 536 541 547 552 557 563 568 574 580 586 592 598 604 611 617 624 631 638 645 652 660 667 675 683 692 700 709 717 727 736 745 755 765 776 786 797 808 820 832 844 857 870 883 897 911 926 941 957 973 990 1007 1025 1044 1063 1083 1104 1126 1148 1172 1196 1222 1248 1276 1305 1335 1367 1400 1435 1472 1511 1552 1595 1641 1689 1740 1794 1852 1914 1980 2051 2127 2209 2297 2393 2497 2610 2735 2871 3022 3190 3378 3589 3829 4102 4418 4786 5221 5743 6381 7179 8205 9572 11487 14359 19145 28718 57436\n230\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 120 121 122 123 124 125 126 128 129 130 131 133 134 135 137 138 140 141 143 144 146 148 149 151 153 154 156 158 160 162 164 166 168 170 173 175 177 180 182 185 187 190 193 195 198 201 205 208 211 214 218 222 225 229 233 237 242 246 251 256 261 266 271 277 283 289 296 302 309 317 325 333 341 350 360 370 380 391 403 416 429 444 459 475 493 512 533 555 579 605 634 666 701 740 783 832 888 951 1025 1110 1211 1332 1480 1665 1903 2220 2665 3331 4441 6662 13325\n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 38 40 41 43 45 48 50 53 56 60 64 68 73 80 87 96 106 120 137 160 192 240 320 480 960\n10\n0 1 2 3 4 5 6 9 13 27\n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 38 39 41 43 45 47 50 53 56 59 63 68 73 79 86 95 106 119 136 159 190 238 318 477 954\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 23 26 29 34 41 52 69 104 208\n2\n0 1\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 37 39 41 43 45 47 50 53 57 61 66 71 78 86 95 107 123 143 172 215 287 430 861\n45\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 29 30 32 35 37 40 43 47 52 58 65 75 87 105 131 175 262 525\n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 33 35 37 39 41 44 47 51 55 60 67 74 83 95 111 134 167 223 335 670\n9\n0 1 2 3 4 5 6 10 20\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 27 29 31 33 36 40 45 50 58 67 81 101 135 203 406\n47\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 29 31 33 35 37 40 43 46 51 56 62 70 80 93 112 140 187 280 561\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 53 57 60 64 69 74 80 88 96 107 121 138 161 193 242 323 484 969\n", "50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 33 35 37 40 42 45 49 53 58 64 71 80 91 107 128 160 214 321 642\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 112 135 169 225 338 676\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n38\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 25 26 29 31 34 37 41 47 53 62 75 94 125 188 377\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 28 30 32 35 38 42 46 52 60 70 84 105 140 210 420\n48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 31 33 35 37 39 42 46 49 54 59 66 74 85 99 119 149 199 299 599\n49\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 31 33 35 37 40 42 46 50 54 60 66 75 85 100 120 150 200 300 600\n", "4185\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 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1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 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2249 2250 2251 2253 2254 2255 2256 2257 2258 2260 2261 2262 2263 2264 2265 2267 2268 2269 2270 2271 2272 2274 2275 2276 2277 2278 2280 2281 2282 2283 2284 2286 2287 2288 2289 2290 2291 2293 2294 2295 2296 2297 2299 2300 2301 2302 2304 2305 2306 2307 2308 2310 2311 2312 2313 2314 2316 2317 2318 2319 2321 2322 2323 2324 2326 2327 2328 2329 2331 2332 2333 2334 2335 2337 2338 2339 2340 2342 2343 2344 2345 2347 2348 2349 2351 2352 2353 2354 2356 2357 2358 2359 2361 2362 2363 2364 2366 2367 2368 2370 2371 2372 2373 2375 2376 2377 2379 2380 2381 2383 2384 2385 2386 2388 2389 2390 2392 2393 2394 2396 2397 2398 2399 2401 2402 2403 2405 2406 2407 2409 2410 2411 2413 2414 2415 2417 2418 2419 2421 2422 2423 2425 2426 2427 2429 2430 2431 2433 2434 2436 2437 2438 2440 2441 2442 2444 2445 2446 2448 2449 2451 2452 2453 2455 2456 2457 2459 2460 2462 2463 2464 2466 2467 2468 2470 2471 2473 2474 2475 2477 2478 2480 2481 2482 2484 2485 2487 2488 2490 2491 2492 2494 2495 2497 2498 2499 2501 2502 2504 2505 2507 2508 2510 2511 2512 2514 2515 2517 2518 2520 2521 2523 2524 2525 2527 2528 2530 2531 2533 2534 2536 2537 2539 2540 2542 2543 2545 2546 2547 2549 2550 2552 2553 2555 2556 2558 2559 2561 2562 2564 2565 2567 2568 2570 2571 2573 2574 2576 2577 2579 2581 2582 2584 2585 2587 2588 2590 2591 2593 2594 2596 2597 2599 2600 2602 2604 2605 2607 2608 2610 2611 2613 2614 2616 2618 2619 2621 2622 2624 2625 2627 2629 2630 2632 2633 2635 2636 2638 2640 2641 2643 2644 2646 2648 2649 2651 2652 2654 2656 2657 2659 2660 2662 2664 2665 2667 2669 2670 2672 2673 2675 2677 2678 2680 2682 2683 2685 2687 2688 2690 2692 2693 2695 2697 2698 2700 2702 2703 2705 2707 2708 2710 2712 2713 2715 2717 2718 2720 2722 2723 2725 2727 2728 2730 2732 2734 2735 2737 2739 2740 2742 2744 2746 2747 2749 2751 2752 2754 2756 2758 2759 2761 2763 2765 2766 2768 2770 2772 2773 2775 2777 2779 2780 2782 2784 2786 2788 2789 2791 2793 2795 2796 2798 2800 2802 2804 2805 2807 2809 2811 2813 2814 2816 2818 2820 2822 2823 2825 2827 2829 2831 2833 2834 2836 2838 2840 2842 2844 2845 2847 2849 2851 2853 2855 2857 2858 2860 2862 2864 2866 2868 2870 2872 2874 2875 2877 2879 2881 2883 2885 2887 2889 2891 2892 2894 2896 2898 2900 2902 2904 2906 2908 2910 2912 2914 2916 2918 2919 2921 2923 2925 2927 2929 2931 2933 2935 2937 2939 2941 2943 2945 2947 2949 2951 2953 2955 2957 2959 2961 2963 2965 2967 2969 2971 2973 2975 2977 2979 2981 2983 2985 2987 2989 2991 2993 2995 2997 2999 3002 3004 3006 3008 3010 3012 3014 3016 3018 3020 3022 3024 3026 3029 3031 3033 3035 3037 3039 3041 3043 3045 3048 3050 3052 3054 3056 3058 3060 3062 3065 3067 3069 3071 3073 3075 3077 3080 3082 3084 3086 3088 3091 3093 3095 3097 3099 3101 3104 3106 3108 3110 3112 3115 3117 3119 3121 3124 3126 3128 3130 3133 3135 3137 3139 3142 3144 3146 3148 3151 3153 3155 3157 3160 3162 3164 3167 3169 3171 3173 3176 3178 3180 3183 3185 3187 3190 3192 3194 3197 3199 3201 3204 3206 3208 3211 3213 3215 3218 3220 3222 3225 3227 3230 3232 3234 3237 3239 3242 3244 3246 3249 3251 3254 3256 3258 3261 3263 3266 3268 3271 3273 3275 3278 3280 3283 3285 3288 3290 3293 3295 3298 3300 3303 3305 3308 3310 3313 3315 3318 3320 3323 3325 3328 3330 3333 3335 3338 3340 3343 3346 3348 3351 3353 3356 3358 3361 3364 3366 3369 3371 3374 3377 3379 3382 3384 3387 3390 3392 3395 3397 3400 3403 3405 3408 3411 3413 3416 3419 3421 3424 3427 3429 3432 3435 3437 3440 3443 3446 3448 3451 3454 3456 3459 3462 3465 3467 3470 3473 3476 3478 3481 3484 3487 3490 3492 3495 3498 3501 3503 3506 3509 3512 3515 3518 3520 3523 3526 3529 3532 3535 3537 3540 3543 3546 3549 3552 3555 3558 3560 3563 3566 3569 3572 3575 3578 3581 3584 3587 3590 3593 3596 3598 3601 3604 3607 3610 3613 3616 3619 3622 3625 3628 3631 3634 3637 3640 3643 3646 3649 3653 3656 3659 3662 3665 3668 3671 3674 3677 3680 3683 3686 3689 3693 3696 3699 3702 3705 3708 3711 3714 3718 3721 3724 3727 3730 3733 3737 3740 3743 3746 3749 3753 3756 3759 3762 3766 3769 3772 3775 3779 3782 3785 3788 3792 3795 3798 3802 3805 3808 3811 3815 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3565 3566 3568 3570 3571 3573 3574 3576 3577 3579 3581 3582 3584 3585 3587 3588 3590 3592 3593 3595 3596 3598 3599 3601 3603 3604 3606 3607 3609 3611 3612 3614 3615 3617 3619 3620 3622 3623 3625 3627 3628 3630 3631 3633 3635 3636 3638 3639 3641 3643 3644 3646 3648 3649 3651 3652 3654 3656 3657 3659 3661 3662 3664 3665 3667 3669 3670 3672 3674 3675 3677 3679 3680 3682 3684 3685 3687 3689 3690 3692 3694 3695 3697 3699 3700 3702 3704 3705 3707 3709 3710 3712 3714 3715 3717 3719 3720 3722 3724 3726 3727 3729 3731 3732 3734 3736 3737 3739 3741 3743 3744 3746 3748 3749 3751 3753 3755 3756 3758 3760 3761 3763 3765 3767 3768 3770 3772 3774 3775 3777 3779 3781 3782 3784 3786 3788 3789 3791 3793 3795 3796 3798 3800 3802 3803 3805 3807 3809 3810 3812 3814 3816 3818 3819 3821 3823 3825 3827 3828 3830 3832 3834 3835 3837 3839 3841 3843 3844 3846 3848 3850 3852 3854 3855 3857 3859 3861 3863 3864 3866 3868 3870 3872 3874 3875 3877 3879 3881 3883 3885 3886 3888 3890 3892 3894 3896 3898 3899 3901 3903 3905 3907 3909 3911 3912 3914 3916 3918 3920 3922 3924 3926 3927 3929 3931 3933 3935 3937 3939 3941 3943 3944 3946 3948 3950 3952 3954 3956 3958 3960 3962 3964 3966 3967 3969 3971 3973 3975 3977 3979 3981 3983 3985 3987 3989 3991 3993 3995 3996 3998 4000 4002 4004 4006 4008 4010 4012 4014 4016 4018 4020 4022 4024 4026 4028 4030 4032 4034 4036 4038 4040 4042 4044 4046 4048 4050 4052 4054 4056 4058 4060 4062 4064 4066 4068 4070 4072 4074 4076 4078 4080 4082 4084 4086 4088 4090 4092 4094 4096 4098 4101 4103 4105 4107 4109 4111 4113 4115 4117 4119 4121 4123 4125 4127 4130 4132 4134 4136 4138 4140 4142 4144 4146 4148 4150 4153 4155 4157 4159 4161 4163 4165 4167 4169 4172 4174 4176 4178 4180 4182 4184 4187 4189 4191 4193 4195 4197 4199 4202 4204 4206 4208 4210 4212 4215 4217 4219 4221 4223 4225 4228 4230 4232 4234 4236 4239 4241 4243 4245 4247 4250 4252 4254 4256 4258 4261 4263 4265 4267 4269 4272 4274 4276 4278 4281 4283 4285 4287 4290 4292 4294 4296 4299 4301 4303 4305 4308 4310 4312 4314 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37396 37567 37741 37915 38092 38270 38449 38631 38814 38999 39185 39374 39564 39756 39950 40146 40343 40543 40745 40949 41154 41362 41572 41784 41998 42215 42434 42655 42878 43104 43332 43562 43795 44031 44269 44509 44753 44998 45247 45498 45753 46010 46270 46532 46798 47067 47339 47615 47893 48175 48460 48748 49040 49336 49635 49937 50244 50554 50868 51186 51508 51834 52164 52498 52837 53180 53528 53880 54237 54598 54965 55336 55712 56094 56481 56873 57271 57674 58083 58498 58919 59346 59779 60219 60665 61117 61577 62043 62517 62998 63486 63982 64486 64998 65518 66046 66583 67129 67684 68248 68821 69405 69998 70601 71215 71840 72476 73123 73781 74452 75135 75831 76540 77262 77998 78748 79512 80292 81087 81898 82725 83569 84430 85310 86208 87125 88062 89019 89997 90997 92020 93065 94135 95230 96350 97497 98672 99875 101108 102372 103668 104997 106361 107760 109197 110672 112189 113747 115349 116997 118692 120438 122235 124087 125996 127965 129996 132093 134259 136496 138810 141203 143680 146246 148905 151662 154524 157496 160584 163796 167138 170620 174251 178039 181995 186131 190460 194995 199751 204745 209994 215521 221345 227494 233994 240876 248175 255931 264187 272993 282406 292492 303325 314992 327592 341241 356078 372263 389990 409490 431042 454988 481753 511862 545986 584985 629984 682483 744527 818980 909977 1023725 1169971 1364966 1637960 2047450 2729933 4094900 8189801\n", "33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 288\n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289\n50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 32 34 36 38 40 43 46 49 54 59 64 72 81 92 108 129 162 216 324 649\n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 34 36 38 40 43 46 50 54 59 65 72 81 92 108 130 162 216 325 650\n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89\n19\n0 1 2 3 4 5 6 7 8 9 10 11 12 15 18 22 30 45 90\n33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 288\n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289\n13\n0 1 2 3 4 5 6 7 8 10 14 21 42\n21\n0 1 2 3 4 5 6 7 8 9 10 11 13 14 16 19 23 29 39 59 118\n", "435\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 228 229 230 231 232 234 235 236 237 238 240 241 242 243 244 246 247 248 250 251 252 254 255 256 258 259 261 262 264 265 266 268 270 271 273 274 276 277 279 281 282 284 286 288 289 291 293 295 297 298 300 302 304 306 308 310 312 314 316 318 321 323 325 327 330 332 334 337 339 341 344 346 349 352 354 357 360 362 365 368 371 374 377 380 383 386 389 392 396 399 402 406 409 413 416 420 424 428 432 435 440 444 448 452 456 461 465 470 475 480 484 489 495 500 505 511 516 522 528 533 540 546 552 559 565 572 579 586 594 601 609 617 625 633 642 651 660 669 678 688 698 709 720 731 742 754 766 779 792 805 819 833 848 864 880 896 913 931 950 969 990 1011 1033 1056 1080 1105 1131 1159 1188 1218 1250 1284 1320 1357 1397 1440 1485 1533 1584 1638 1697 1760 1827 1900 1980 2066 2160 2263 2376 2501 2640 2795 2970 3168 3394 3655 3960 4320 4752 5280 5940 6789 7920 9504 11880 15841 23761 47523\n436\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 234 235 236 237 238 240 241 242 243 244 246 247 248 250 251 252 254 255 256 258 259 261 262 264 265 266 268 270 271 273 274 276 277 279 281 282 284 286 288 289 291 293 295 297 298 300 302 304 306 308 310 312 314 316 318 321 323 325 327 330 332 334 337 339 341 344 346 349 352 354 357 360 362 365 368 371 374 377 380 383 386 389 392 396 399 402 406 409 413 416 420 424 428 432 436 440 444 448 452 456 461 465 470 475 480 484 489 495 500 505 511 516 522 528 533 540 546 552 559 565 572 579 586 594 601 609 617 625 633 642 651 660 669 678 688 698 709 720 731 742 754 766 779 792 805 819 833 848 864 880 896 913 931 950 969 990 1011 1033 1056 1080 1105 1131 1159 1188 1218 1250 1284 1320 1357 1397 1440 1485 1533 1584 1638 1697 1760 1827 1900 1980 2066 2160 2263 2376 2501 2640 2795 2970 3168 3394 3655 3960 4320 4752 5280 5940 6789 7920 9504 11881 15841 23762 47524\n492\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 248 249 250 251 252 253 254 255 256 257 258 259 260 261 263 264 265 266 267 268 270 271 272 273 274 276 277 278 280 281 282 283 285 286 287 289 290 292 293 294 296 297 299 300 302 303 305 306 308 310 311 313 314 316 318 319 321 323 324 326 328 330 332 333 335 337 339 341 343 345 347 349 351 353 355 357 359 361 363 366 368 370 372 375 377 379 382 384 387 389 392 394 397 399 402 405 407 410 413 416 419 421 424 427 430 434 437 440 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275 277 279 281 282 284 286 288 290 292 294 296 298 300 302 304 306 308 311 313 315 317 320 322 325 327 329 332 335 337 340 342 345 348 351 354 357 359 362 366 369 372 375 378 382 385 388 392 395 399 403 407 410 414 418 422 427 431 435 439 444 449 453 458 463 468 473 478 483 489 494 500 506 512 518 524 531 537 544 551 558 565 573 580 588 596 604 613 622 631 640 650 659 670 680 691 702 714 725 738 750 764 777 791 806 821 837 854 871 888 907 926 946 967 989 1012 1037 1062 1088 1116 1146 1177 1209 1244 1281 1319 1361 1405 1451 1501 1555 1613 1675 1742 1814 1893 1979 2074 2177 2292 2419 2562 2722 2903 3111 3350 3629 3959 4355 4839 5444 6222 7259 8711 10889 14518 21778 43556\n", "184\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 103 104 105 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142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 309 310 311 312 313 314 315 316 318 319 320 321 322 323 325 326 327 328 329 331 332 333 335 336 337 338 340 341 342 344 345 346 348 349 351 352 353 355 356 358 359 361 362 364 365 367 368 370 371 373 375 376 378 379 381 383 384 386 388 390 391 393 395 397 398 400 402 404 406 408 410 412 414 415 417 419 421 424 426 428 430 432 434 436 438 441 443 445 447 450 452 454 457 459 461 464 466 469 471 474 477 479 482 484 487 490 493 495 498 501 504 507 510 513 516 519 522 525 528 531 535 538 541 545 548 552 555 559 562 566 569 573 577 581 585 589 593 597 601 605 609 613 618 622 626 631 636 640 645 650 655 659 664 670 675 680 685 691 696 702 707 713 719 725 731 737 743 750 756 763 769 776 783 790 797 805 812 820 828 835 843 852 860 869 877 886 895 904 914 923 933 943 954 964 975 986 997 1008 1020 1032 1044 1057 1070 1083 1097 1111 1125 1139 1154 1170 1186 1202 1219 1236 1253 1272 1290 1310 1329 1350 1371 1393 1415 1438 1462 1487 1513 1539 1567 1595 1625 1656 1687 1721 1755 1791 1828 1867 1908 1950 1994 2041 2089 2140 2194 2250 2309 2372 2438 2507 2581 2659 2742 2831 2925 3026 3134 3250 3375 3510 3657 3816 3989 4179 4388 4619 4876 5163 5485 5851 6269 6751 7314 7979 8777 9752 10971 12539 14628 17554 21943 29257 43886 87773\n102\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 56 57 58 60 61 62 64 66 67 69 71 73 75 77 80 82 85 88 91 94 97 101 105 110 114 120 125 132 139 146 155 165 176 188 203 220 240 264 293 330 377 440 528 660 881 1321 2643\n455\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 237 238 239 240 241 242 243 244 246 247 248 249 250 252 253 254 255 256 258 259 260 262 263 264 266 267 268 270 271 273 274 276 277 279 280 282 283 285 286 288 290 291 293 294 296 298 300 301 303 305 307 309 310 312 314 316 318 320 322 324 326 328 330 332 334 337 339 341 343 346 348 350 353 355 358 360 363 365 368 370 373 376 378 381 384 387 390 393 396 399 402 405 408 412 415 418 422 425 429 432 436 439 443 447 451 455 459 463 467 471 476 480 485 489 494 499 504 508 513 519 524 529 535 540 546 552 558 564 570 576 583 589 596 603 610 618 625 633 640 648 657 665 674 683 692 701 711 721 731 741 752 763 774 786 798 811 824 837 851 865 879 895 910 927 943 961 979 998 1017 1038 1059 1081 1104 1128 1153 1179 1207 1236 1266 1297 1331 1366 1403 1442 1483 1526 1573 1622 1674 1730 1790 1854 1922 1996 2076 2163 2257 2359 2472 2595 2732 2884 3053 3244 3460 3708 3993 4326 4719 5191 5768 6489 7416 8652 10382 12978 17304 25956 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924 935 946 957 969 981 993 1006 1019 1032 1046 1060 1074 1089 1104 1119 1135 1152 1169 1186 1204 1223 1242 1261 1282 1303 1325 1347 1370 1394 1419 1445 1472 1500 1528 1558 1590 1622 1656 1691 1728 1766 1806 1848 1892 1939 1987 2038 2092 2148 2208 2271 2338 2409 2484 2564 2650 2741 2839 2944 3057 3180 3312 3456 3613 3785 3975 4184 4416 4676 4968 5300 5678 6115 6625 7227 7950 8833 9937 11357 13250 15900 19875 26500 39751 79502\n710\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 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432 433 435 436 438 440 441 443 444 446 447 449 451 452 454 455 457 459 460 462 464 465 467 469 471 472 474 476 478 480 481 483 485 487 489 491 493 495 497 499 501 503 505 507 509 511 513 515 517 519 521 523 526 528 530 532 535 537 539 541 544 546 549 551 553 556 558 561 563 566 568 571 574 576 579 581 584 587 590 592 595 598 601 604 607 610 613 616 619 622 625 628 631 634 637 641 644 647 650 654 657 661 664 668 671 675 678 682 686 690 693 697 701 705 709 713 717 721 725 729 734 738 742 747 751 756 760 765 770 774 779 784 789 794 799 804 809 814 820 825 830 836 841 847 853 859 864 870 876 883 889 895 902 908 915 921 928 935 942 949 956 963 971 978 986 994 1002 1010 1018 1026 1035 1043 1052 1061 1070 1079 1088 1098 1107 1117 1127 1137 1148 1158 1169 1180 1191 1202 1214 1226 1238 1250 1262 1275 1288 1301 1315 1329 1343 1357 1372 1387 1403 1418 1435 1451 1468 1485 1503 1521 1540 1559 1578 1598 1618 1640 1661 1683 1706 1729 1753 1778 1804 1830 1857 1884 1913 1942 1973 2004 2036 2070 2104 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264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 289 290 291 292 293 294 295 297 298 299 300 301 303 304 305 306 307 309 310 311 313 314 315 317 318 319 321 322 323 325 326 328 329 330 332 333 335 336 338 339 341 342 344 346 347 349 350 352 354 355 357 359 361 362 364 366 368 369 371 373 375 377 379 381 382 384 386 388 390 392 395 397 399 401 403 405 407 410 412 414 416 419 421 423 426 428 431 433 436 438 441 443 446 449 451 454 457 460 462 465 468 471 474 477 480 483 486 489 493 496 499 503 506 509 513 516 520 523 527 531 535 538 542 546 550 554 558 563 567 571 575 580 584 589 594 598 603 608 613 618 623 628 634 639 644 650 656 661 667 673 679 685 692 698 705 711 718 725 732 739 747 754 762 769 777 785 794 802 811 820 829 838 847 857 867 877 887 898 909 920 931 943 955 967 979 992 1006 1019 1033 1047 1062 1077 1093 1109 1126 1143 1160 1178 1197 1216 1236 1257 1278 1300 1323 1347 1371 1397 1423 1450 1479 1509 1539 1571 1605 1640 1676 1714 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81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 228 229 230 231 232 233 235 236 237 238 240 241 242 244 245 246 248 249 250 252 253 255 256 258 259 261 262 264 265 267 268 270 272 273 275 277 278 280 282 284 285 287 289 291 293 295 297 299 301 303 305 307 309 311 313 315 318 320 322 324 327 329 332 334 336 339 342 344 347 350 352 355 358 361 364 367 370 373 376 379 382 385 389 392 396 399 403 406 410 414 418 422 426 430 434 438 442 447 451 456 460 465 470 475 480 485 490 496 501 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1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 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593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1080 1081 1082 1083 1084 1085 1086 1087 1088 1090 1091 1092 1093 1094 1095 1096 1097 1099 1100 1101 1102 1103 1104 1105 1107 1108 1109 1110 1111 1112 1114 1115 1116 1117 1118 1119 1121 1122 1123 1124 1125 1126 1128 1129 1130 1131 1132 1134 1135 1136 1137 1139 1140 1141 1142 1143 1145 1146 1147 1148 1150 1151 1152 1153 1155 1156 1157 1158 1160 1161 1162 1163 1165 1166 1167 1169 1170 1171 1172 1174 1175 1176 1178 1179 1180 1182 1183 1184 1186 1187 1188 1190 1191 1192 1194 1195 1196 1198 1199 1200 1202 1203 1204 1206 1207 1208 1210 1211 1213 1214 1215 1217 1218 1220 1221 1222 1224 1225 1227 1228 1229 1231 1232 1234 1235 1237 1238 1239 1241 1242 1244 1245 1247 1248 1250 1251 1253 1254 1256 1257 1259 1260 1262 1263 1265 1266 1268 1269 1271 1272 1274 1275 1277 1278 1280 1281 1283 1284 1286 1287 1289 1291 1292 1294 1295 1297 1299 1300 1302 1303 1305 1306 1308 1310 1311 1313 1315 1316 1318 1319 1321 1323 1324 1326 1328 1329 1331 1333 1334 1336 1338 1339 1341 1343 1344 1346 1348 1350 1351 1353 1355 1356 1358 1360 1362 1363 1365 1367 1369 1370 1372 1374 1376 1378 1379 1381 1383 1385 1387 1388 1390 1392 1394 1396 1398 1399 1401 1403 1405 1407 1409 1410 1412 1414 1416 1418 1420 1422 1424 1426 1428 1429 1431 1433 1435 1437 1439 1441 1443 1445 1447 1449 1451 1453 1455 1457 1459 1461 1463 1465 1467 1469 1471 1473 1475 1477 1479 1481 1483 1485 1487 1490 1492 1494 1496 1498 1500 1502 1504 1506 1509 1511 1513 1515 1517 1519 1522 1524 1526 1528 1530 1532 1535 1537 1539 1541 1544 1546 1548 1550 1553 1555 1557 1559 1562 1564 1566 1569 1571 1573 1576 1578 1580 1583 1585 1587 1590 1592 1595 1597 1599 1602 1604 1607 1609 1611 1614 1616 1619 1621 1624 1626 1629 1631 1634 1636 1639 1641 1644 1646 1649 1651 1654 1657 1659 1662 1664 1667 1670 1672 1675 1678 1680 1683 1686 1688 1691 1694 1696 1699 1702 1704 1707 1710 1713 1715 1718 1721 1724 1727 1729 1732 1735 1738 1741 1744 1746 1749 1752 1755 1758 1761 1764 1767 1770 1773 1776 1779 1782 1785 1788 1791 1794 1797 1800 1803 1806 1809 1812 1815 1818 1821 1824 1827 1831 1834 1837 1840 1843 1847 1850 1853 1856 1859 1863 1866 1869 1873 1876 1879 1882 1886 1889 1893 1896 1899 1903 1906 1910 1913 1916 1920 1923 1927 1930 1934 1937 1941 1944 1948 1952 1955 1959 1962 1966 1970 1973 1977 1981 1984 1988 1992 1996 1999 2003 2007 2011 2014 2018 2022 2026 2030 2034 2038 2042 2045 2049 2053 2057 2061 2065 2069 2073 2077 2081 2086 2090 2094 2098 2102 2106 2110 2115 2119 2123 2127 2132 2136 2140 2144 2149 2153 2157 2162 2166 2171 2175 2180 2184 2189 2193 2198 2202 2207 2211 2216 2221 2225 2230 2235 2239 2244 2249 2253 2258 2263 2268 2273 2278 2283 2287 2292 2297 2302 2307 2312 2317 2322 2327 2333 2338 2343 2348 2353 2358 2364 2369 2374 2380 2385 2390 2396 2401 2406 2412 2417 2423 2428 2434 2440 2445 2451 2457 2462 2468 2474 2479 2485 2491 2497 2503 2509 2515 2521 2527 2533 2539 2545 2551 2557 2563 2569 2575 2582 2588 2594 2601 2607 2613 2620 2626 2633 2639 2646 2653 2659 2666 2673 2679 2686 2693 2700 2707 2713 2720 2727 2734 2741 2749 2756 2763 2770 2777 2785 2792 2799 2807 2814 2821 2829 2837 2844 2852 2859 2867 2875 2883 2890 2898 2906 2914 2922 2930 2938 2947 2955 2963 2971 2980 2988 2996 3005 3013 3022 3031 3039 3048 3057 3065 3074 3083 3092 3101 3110 3119 3129 3138 3147 3156 3166 3175 3185 3194 3204 3214 3223 3233 3243 3253 3263 3273 3283 3293 3303 3314 3324 3335 3345 3356 3366 3377 3388 3398 3409 3420 3431 3442 3454 3465 3476 3488 3499 3511 3522 3534 3546 3558 3570 3582 3594 3606 3618 3631 3643 3655 3668 3681 3694 3706 3719 3732 3746 3759 3772 3786 3799 3813 3826 3840 3854 3868 3882 3897 3911 3925 3940 3954 3969 3984 3999 4014 4029 4045 4060 4076 4091 4107 4123 4139 4155 4172 4188 4205 4221 4238 4255 4272 4289 4307 4324 4342 4360 4378 4396 4414 4432 4451 4470 4488 4507 4527 4546 4566 4585 4605 4625 4645 4666 4686 4707 4728 4749 4770 4792 4813 4835 4857 4880 4902 4925 4948 4971 4994 5018 5042 5066 5090 5114 5139 5164 5189 5215 5240 5266 5292 5319 5346 5373 5400 5427 5455 5483 5512 5541 5570 5599 5629 5658 5689 5719 5750 5781 5813 5845 5877 5910 5943 5976 6010 6044 6079 6114 6149 6185 6221 6258 6295 6332 6370 6408 6447 6487 6526 6567 6607 6649 6691 6733 6776 6819 6863 6908 6953 6999 7045 7092 7140 7188 7237 7286 7337 7388 7439 7492 7545 7599 7653 7709 7765 7822 7880 7939 7999 8059 8121 8183 8247 8311 8377 8443 8511 8579 8649 8720 8792 8865 8940 9015 9093 9171 9251 9332 9414 9498 9584 9671 9760 9850 9942 10036 10132 10229 10328 10430 10533 10638 10746 10855 10967 11082 11198 11317 11439 11563 11691 11820 11953 12089 12228 12370 12516 12665 12817 12974 13134 13298 13466 13639 13816 13998 14185 14376 14573 14776 14984 15198 15418 15645 15878 16119 16367 16623 16887 17159 17440 17731 18031 18342 18664 18997 19343 19701 20073 20459 20860 21277 21711 22164 22635 23127 23641 24179 24741 25330 25948 26597 27279 27996 28753 29552 30396 31290 32238 33246 34318 35462 36685 37995 39403 40918 42555 44328 46255 48358 50661 53194 55993 59104 62581 66492 70925 75991 81837 88657 96716 106388 118209 132985 151983 177314 212776 265971 354628 531942 1063884\n", "3\n0 1 2\n4\n0 1 2 4\n5\n0 1 2 3 6\n5\n0 1 2 3 7\n5\n0 1 2 4 8\n6\n0 1 2 3 4 9\n6\n0 1 2 3 5 10\n9\n0 1 2 3 4 5 7 11 23\n7\n0 1 2 3 4 6 13\n6\n0 1 2 3 5 10\n", "2982\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1571 1572 1573 1574 1575 1576 1577 1578 1579 1581 1582 1583 1584 1585 1586 1587 1588 1590 1591 1592 1593 1594 1595 1596 1598 1599 1600 1601 1602 1603 1605 1606 1607 1608 1609 1610 1612 1613 1614 1615 1616 1617 1619 1620 1621 1622 1623 1624 1626 1627 1628 1629 1630 1632 1633 1634 1635 1636 1638 1639 1640 1641 1642 1644 1645 1646 1647 1649 1650 1651 1652 1653 1655 1656 1657 1658 1660 1661 1662 1663 1665 1666 1667 1668 1670 1671 1672 1673 1675 1676 1677 1678 1680 1681 1682 1684 1685 1686 1687 1689 1690 1691 1692 1694 1695 1696 1698 1699 1700 1702 1703 1704 1705 1707 1708 1709 1711 1712 1713 1715 1716 1717 1719 1720 1721 1723 1724 1725 1727 1728 1729 1731 1732 1733 1735 1736 1737 1739 1740 1742 1743 1744 1746 1747 1748 1750 1751 1753 1754 1755 1757 1758 1759 1761 1762 1764 1765 1766 1768 1769 1771 1772 1773 1775 1776 1778 1779 1781 1782 1783 1785 1786 1788 1789 1791 1792 1794 1795 1796 1798 1799 1801 1802 1804 1805 1807 1808 1810 1811 1813 1814 1815 1817 1818 1820 1821 1823 1824 1826 1827 1829 1830 1832 1833 1835 1836 1838 1840 1841 1843 1844 1846 1847 1849 1850 1852 1853 1855 1856 1858 1860 1861 1863 1864 1866 1867 1869 1870 1872 1874 1875 1877 1878 1880 1882 1883 1885 1886 1888 1890 1891 1893 1894 1896 1898 1899 1901 1902 1904 1906 1907 1909 1911 1912 1914 1916 1917 1919 1921 1922 1924 1926 1927 1929 1931 1932 1934 1936 1937 1939 1941 1942 1944 1946 1947 1949 1951 1953 1954 1956 1958 1959 1961 1963 1965 1966 1968 1970 1972 1973 1975 1977 1979 1980 1982 1984 1986 1987 1989 1991 1993 1995 1996 1998 2000 2002 2004 2005 2007 2009 2011 2013 2015 2016 2018 2020 2022 2024 2026 2027 2029 2031 2033 2035 2037 2039 2040 2042 2044 2046 2048 2050 2052 2054 2055 2057 2059 2061 2063 2065 2067 2069 2071 2073 2075 2077 2079 2080 2082 2084 2086 2088 2090 2092 2094 2096 2098 2100 2102 2104 2106 2108 2110 2112 2114 2116 2118 2120 2122 2124 2126 2128 2130 2132 2134 2136 2139 2141 2143 2145 2147 2149 2151 2153 2155 2157 2159 2161 2163 2166 2168 2170 2172 2174 2176 2178 2180 2183 2185 2187 2189 2191 2193 2196 2198 2200 2202 2204 2206 2209 2211 2213 2215 2217 2220 2222 2224 2226 2229 2231 2233 2235 2237 2240 2242 2244 2247 2249 2251 2253 2256 2258 2260 2263 2265 2267 2269 2272 2274 2276 2279 2281 2283 2286 2288 2291 2293 2295 2298 2300 2302 2305 2307 2310 2312 2314 2317 2319 2322 2324 2326 2329 2331 2334 2336 2339 2341 2344 2346 2349 2351 2354 2356 2359 2361 2364 2366 2369 2371 2374 2376 2379 2381 2384 2386 2389 2392 2394 2397 2399 2402 2404 2407 2410 2412 2415 2418 2420 2423 2425 2428 2431 2433 2436 2439 2441 2444 2447 2449 2452 2455 2458 2460 2463 2466 2469 2471 2474 2477 2480 2482 2485 2488 2491 2493 2496 2499 2502 2505 2507 2510 2513 2516 2519 2522 2525 2527 2530 2533 2536 2539 2542 2545 2548 2551 2554 2556 2559 2562 2565 2568 2571 2574 2577 2580 2583 2586 2589 2592 2595 2598 2601 2604 2607 2610 2614 2617 2620 2623 2626 2629 2632 2635 2638 2642 2645 2648 2651 2654 2657 2660 2664 2667 2670 2673 2676 2680 2683 2686 2689 2693 2696 2699 2703 2706 2709 2712 2716 2719 2722 2726 2729 2732 2736 2739 2742 2746 2749 2753 2756 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3670 3676 3683 3689 3695 3701 3707 3713 3720 3726 3732 3738 3745 3751 3757 3764 3770 3776 3783 3789 3796 3802 3809 3815 3822 3828 3835 3842 3848 3855 3862 3868 3875 3882 3889 3895 3902 3909 3916 3923 3930 3937 3944 3951 3958 3965 3972 3979 3986 3993 4001 4008 4015 4022 4030 4037 4044 4052 4059 4066 4074 4081 4089 4096 4104 4111 4119 4127 4134 4142 4150 4158 4165 4173 4181 4189 4197 4205 4213 4221 4229 4237 4245 4253 4261 4269 4278 4286 4294 4302 4311 4319 4327 4336 4344 4353 4361 4370 4379 4387 4396 4405 4413 4422 4431 4440 4449 4458 4467 4475 4485 4494 4503 4512 4521 4530 4539 4549 4558 4567 4577 4586 4596 4605 4615 4624 4634 4644 4653 4663 4673 4683 4693 4703 4713 4723 4733 4743 4753 4763 4773 4784 4794 4804 4815 4825 4836 4846 4857 4867 4878 4889 4899 4910 4921 4932 4943 4954 4965 4976 4987 4999 5010 5021 5032 5044 5055 5067 5078 5090 5102 5113 5125 5137 5149 5161 5173 5185 5197 5209 5221 5234 5246 5259 5271 5284 5296 5309 5321 5334 5347 5360 5373 5386 5399 5412 5425 5439 5452 5465 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1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2046 2047 2048 2049 2050 2051 2052 2053 2054 2056 2057 2058 2059 2060 2061 2062 2063 2065 2066 2067 2068 2069 2070 2071 2073 2074 2075 2076 2077 2078 2079 2081 2082 2083 2084 2085 2086 2087 2089 2090 2091 2092 2093 2094 2096 2097 2098 2099 2100 2101 2103 2104 2105 2106 2107 2108 2110 2111 2112 2113 2114 2115 2117 2118 2119 2120 2121 2123 2124 2125 2126 2127 2129 2130 2131 2132 2133 2135 2136 2137 2138 2139 2141 2142 2143 2144 2146 2147 2148 2149 2150 2152 2153 2154 2155 2157 2158 2159 2160 2161 2163 2164 2165 2166 2168 2169 2170 2171 2173 2174 2175 2176 2178 2179 2180 2181 2183 2184 2185 2187 2188 2189 2190 2192 2193 2194 2195 2197 2198 2199 2201 2202 2203 2204 2206 2207 2208 2210 2211 2212 2213 2215 2216 2217 2219 2220 2221 2223 2224 2225 2226 2228 2229 2230 2232 2233 2234 2236 2237 2238 2240 2241 2242 2244 2245 2246 2248 2249 2250 2252 2253 2254 2256 2257 2258 2260 2261 2262 2264 2265 2267 2268 2269 2271 2272 2273 2275 2276 2277 2279 2280 2282 2283 2284 2286 2287 2288 2290 2291 2293 2294 2295 2297 2298 2300 2301 2302 2304 2305 2307 2308 2309 2311 2312 2314 2315 2317 2318 2319 2321 2322 2324 2325 2327 2328 2329 2331 2332 2334 2335 2337 2338 2340 2341 2342 2344 2345 2347 2348 2350 2351 2353 2354 2356 2357 2359 2360 2361 2363 2364 2366 2367 2369 2370 2372 2373 2375 2376 2378 2379 2381 2382 2384 2385 2387 2388 2390 2391 2393 2394 2396 2397 2399 2400 2402 2404 2405 2407 2408 2410 2411 2413 2414 2416 2417 2419 2420 2422 2424 2425 2427 2428 2430 2431 2433 2435 2436 2438 2439 2441 2442 2444 2446 2447 2449 2450 2452 2453 2455 2457 2458 2460 2461 2463 2465 2466 2468 2470 2471 2473 2474 2476 2478 2479 2481 2483 2484 2486 2487 2489 2491 2492 2494 2496 2497 2499 2501 2502 2504 2506 2507 2509 2511 2512 2514 2516 2517 2519 2521 2522 2524 2526 2527 2529 2531 2532 2534 2536 2538 2539 2541 2543 2544 2546 2548 2550 2551 2553 2555 2556 2558 2560 2562 2563 2565 2567 2569 2570 2572 2574 2576 2577 2579 2581 2583 2584 2586 2588 2590 2592 2593 2595 2597 2599 2600 2602 2604 2606 2608 2609 2611 2613 2615 2617 2618 2620 2622 2624 2626 2628 2629 2631 2633 2635 2637 2639 2640 2642 2644 2646 2648 2650 2652 2653 2655 2657 2659 2661 2663 2665 2666 2668 2670 2672 2674 2676 2678 2680 2682 2684 2685 2687 2689 2691 2693 2695 2697 2699 2701 2703 2705 2707 2709 2711 2712 2714 2716 2718 2720 2722 2724 2726 2728 2730 2732 2734 2736 2738 2740 2742 2744 2746 2748 2750 2752 2754 2756 2758 2760 2762 2764 2766 2768 2770 2772 2774 2776 2778 2780 2782 2784 2786 2789 2791 2793 2795 2797 2799 2801 2803 2805 2807 2809 2811 2813 2816 2818 2820 2822 2824 2826 2828 2830 2832 2835 2837 2839 2841 2843 2845 2847 2850 2852 2854 2856 2858 2860 2862 2865 2867 2869 2871 2873 2876 2878 2880 2882 2884 2887 2889 2891 2893 2895 2898 2900 2902 2904 2907 2909 2911 2913 2916 2918 2920 2922 2925 2927 2929 2931 2934 2936 2938 2940 2943 2945 2947 2950 2952 2954 2957 2959 2961 2964 2966 2968 2971 2973 2975 2978 2980 2982 2985 2987 2989 2992 2994 2996 2999 3001 3004 3006 3008 3011 3013 3016 3018 3020 3023 3025 3028 3030 3033 3035 3037 3040 3042 3045 3047 3050 3052 3055 3057 3060 3062 3064 3067 3069 3072 3074 3077 3079 3082 3085 3087 3090 3092 3095 3097 3100 3102 3105 3107 3110 3112 3115 3118 3120 3123 3125 3128 3131 3133 3136 3138 3141 3144 3146 3149 3151 3154 3157 3159 3162 3165 3167 3170 3173 3175 3178 3181 3183 3186 3189 3191 3194 3197 3199 3202 3205 3208 3210 3213 3216 3219 3221 3224 3227 3230 3232 3235 3238 3241 3243 3246 3249 3252 3255 3257 3260 3263 3266 3269 3271 3274 3277 3280 3283 3286 3289 3291 3294 3297 3300 3303 3306 3309 3312 3315 3317 3320 3323 3326 3329 3332 3335 3338 3341 3344 3347 3350 3353 3356 3359 3362 3365 3368 3371 3374 3377 3380 3383 3386 3389 3392 3395 3398 3401 3404 3407 3410 3413 3416 3420 3423 3426 3429 3432 3435 3438 3441 3444 3448 3451 3454 3457 3460 3463 3467 3470 3473 3476 3479 3483 3486 3489 3492 3495 3499 3502 3505 3508 3512 3515 3518 3522 3525 3528 3531 3535 3538 3541 3545 3548 3551 3555 3558 3561 3565 3568 3571 3575 3578 3582 3585 3588 3592 3595 3599 3602 3606 3609 3612 3616 3619 3623 3626 3630 3633 3637 3640 3644 3647 3651 3654 3658 3661 3665 3669 3672 3676 3679 3683 3686 3690 3694 3697 3701 3705 3708 3712 3715 3719 3723 3726 3730 3734 3738 3741 3745 3749 3752 3756 3760 3764 3767 3771 3775 3779 3782 3786 3790 3794 3798 3801 3805 3809 3813 3817 3821 3825 3828 3832 3836 3840 3844 3848 3852 3856 3860 3864 3868 3872 3876 3880 3884 3888 3892 3896 3900 3904 3908 3912 3916 3920 3924 3928 3932 3936 3940 3944 3948 3953 3957 3961 3965 3969 3973 3978 3982 3986 3990 3994 3999 4003 4007 4011 4016 4020 4024 4028 4033 4037 4041 4046 4050 4054 4059 4063 4067 4072 4076 4081 4085 4089 4094 4098 4103 4107 4112 4116 4121 4125 4130 4134 4139 4143 4148 4152 4157 4162 4166 4171 4175 4180 4185 4189 4194 4199 4203 4208 4213 4217 4222 4227 4231 4236 4241 4246 4250 4255 4260 4265 4270 4275 4279 4284 4289 4294 4299 4304 4309 4314 4319 4323 4328 4333 4338 4343 4348 4353 4358 4363 4368 4374 4379 4384 4389 4394 4399 4404 4409 4414 4420 4425 4430 4435 4440 4446 4451 4456 4461 4467 4472 4477 4482 4488 4493 4498 4504 4509 4515 4520 4525 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5960 5970 5979 5989 5998 6008 6017 6027 6036 6046 6056 6066 6075 6085 6095 6105 6115 6125 6134 6144 6154 6164 6175 6185 6195 6205 6215 6225 6236 6246 6256 6267 6277 6288 6298 6309 6319 6330 6340 6351 6362 6372 6383 6394 6405 6416 6427 6438 6449 6460 6471 6482 6493 6504 6515 6527 6538 6549 6561 6572 6583 6595 6606 6618 6630 6641 6653 6665 6676 6688 6700 6712 6724 6736 6748 6760 6772 6784 6797 6809 6821 6833 6846 6858 6871 6883 6896 6908 6921 6934 6946 6959 6972 6985 6998 7011 7024 7037 7050 7063 7077 7090 7103 7117 7130 7143 7157 7171 7184 7198 7212 7225 7239 7253 7267 7281 7295 7309 7323 7338 7352 7366 7381 7395 7410 7424 7439 7453 7468 7483 7498 7513 7528 7543 7558 7573 7588 7603 7619 7634 7650 7665 7681 7696 7712 7728 7744 7760 7776 7792 7808 7824 7840 7856 7873 7889 7906 7922 7939 7956 7972 7989 8006 8023 8040 8057 8075 8092 8109 8127 8144 8162 8179 8197 8215 8233 8251 8269 8287 8305 8324 8342 8360 8379 8398 8416 8435 8454 8473 8492 8511 8530 8550 8569 8588 8608 8628 8647 8667 8687 8707 8727 8748 8768 8788 8809 8829 8850 8871 8892 8913 8934 8955 8976 8997 9019 9040 9062 9084 9106 9128 9150 9172 9194 9217 9239 9262 9285 9308 9331 9354 9377 9400 9424 9447 9471 9495 9519 9543 9567 9591 9616 9640 9665 9690 9715 9740 9765 9790 9815 9841 9867 9893 9918 9945 9971 9997 10024 10050 10077 10104 10131 10158 10186 10213 10241 10269 10297 10325 10353 10382 10410 10439 10468 10497 10526 10556 10585 10615 10645 10675 10705 10736 10766 10797 10828 10859 10890 10922 10954 10985 11017 11050 11082 11115 11147 11180 11214 11247 11281 11314 11348 11382 11417 11451 11486 11521 11556 11592 11628 11664 11700 11736 11773 11809 11846 11884 11921 11959 11997 12035 12073 12112 12151 12190 12230 12269 12309 12350 12390 12431 12472 12513 12555 12597 12639 12681 12724 12767 12810 12854 12898 12942 12986 13031 13076 13122 13167 13213 13260 13306 13353 13401 13448 13496 13545 13594 13643 13692 13742 13792 13842 13893 13945 13996 14048 14101 14154 14207 14260 14314 14369 14424 14479 14535 14591 14647 14704 14762 14820 14878 14937 14996 15056 15116 15177 15238 15300 15362 15425 15488 15552 15616 15681 15746 15812 15878 15945 16013 16081 16150 16219 16289 16359 16431 16502 16575 16648 16721 16796 16871 16946 17023 17100 17177 17256 17335 17415 17496 17577 17659 17742 17826 17910 17995 18081 18168 18256 18345 18434 18525 18616 18708 18801 18895 18990 19086 19183 19281 19380 19480 19581 19683 19786 19890 19995 20101 20209 20317 20427 20538 20651 20764 20879 20995 21112 21231 21351 21472 21595 21719 21844 21971 22100 22230 22361 22494 22629 22765 22903 23043 23184 23328 23472 23619 23768 23918 24070 24225 24381 24539 24700 24862 25027 25194 25363 25534 25708 25884 26063 26244 26427 26613 26802 26993 27188 27385 27584 27787 27993 28202 28414 28629 28848 29070 29295 29524 29756 29993 30233 30476 30724 30976 31232 31492 31757 32026 32300 32578 32862 33150 33443 33742 34046 34355 34670 34992 35319 35652 35991 36337 36690 37050 37417 37791 38173 38562 38960 39366 39780 40203 40635 41077 41528 41990 42462 42944 43438 43943 44460 44989 45531 46087 46656 47239 47837 48450 49079 49725 50388 51069 51768 52488 53227 53987 54770 55575 56405 57259 58140 59049 59986 60953 61953 62985 64053 65157 66300 67484 68711 69984 71304 72675 74100 75582 77125 78732 80407 82155 83980 85889 87886 89979 92174 94478 96900 99450 102138 104976 107975 111151 114519 118098 121907 125971 130315 134969 139968 145351 151165 157464 164310 171778 179958 188956 198901 209952 222302 236196 251942 269938 290702 314928 343557 377913 419904 472392 539876 629856 755827 944784 1259712 1889568 3779136\n", "19\n0 1 2 3 4 5 6 7 8 9 10 11 13 15 18 23 30 46 92\n10\n0 1 2 3 4 5 6 8 12 25\n10\n0 1 2 3 4 5 7 9 14 29\n11\n0 1 2 3 4 5 6 7 10 15 30\n19\n0 1 2 3 4 5 6 7 8 9 11 12 14 16 19 24 33 49 99\n20\n0 1 2 3 4 5 6 7 8 9 10 11 12 14 16 20 25 33 50 100\n20\n0 1 2 3 4 5 6 7 8 9 10 12 13 15 18 21 27 36 54 109\n21\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 18 22 27 36 55 110\n29\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 22 24 28 32 37 44 56 74 112 224\n30\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 22 25 28 32 37 45 56 75 112 225\n", "37\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 26 28 31 34 38 43 49 57 69 86 115 173 347\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 29 31 34 37 41 46 51 59 69 82 103 138 207 414\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 36 37 39 41 43 45 48 51 54 57 62 66 72 79 86 96 108 124 144 173 217 289 434 869\n35\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 31 34 39 44 52 62 78 104 157 314\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 46 49 52 56 60 64 70 76 84 93 105 120 140 168 210 280 421 842\n59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 41 43 45 48 51 54 58 62 67 72 79 87 96 108 124 145 174 217 290 435 871\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 20 22 25 29 34 40 51 68 102 204\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 40 42 44 46 48 51 54 57 61 65 69 75 81 88 97 108 122 139 163 195 244 326 489 978\n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 27 28 31 33 36 39 43 48 54 62 72 86 108 144 217 434\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 113 135 169 226 339 678\n", "32\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 27 30 33 38 45 54 67 90 135 271\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 28 33 39 49 66 99 198\n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89\n24\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 18 20 24 29 36 48 73 146\n60\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 37 38 40 42 44 46 48 51 54 58 61 66 71 77 84 92 103 116 132 154 185 232 309 464 929\n61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 54 58 62 66 71 77 84 93 103 116 132 155 186 232 310 465 930\n", "555\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 292 293 294 295 296 297 298 299 301 302 303 304 305 307 308 309 310 312 313 314 315 317 318 319 321 322 323 325 326 328 329 330 332 333 335 336 338 339 341 342 344 345 347 348 350 352 353 355 356 358 360 361 363 365 367 368 370 372 374 376 377 379 381 383 385 387 389 391 393 395 397 399 401 403 405 407 410 412 414 416 418 421 423 425 428 430 433 435 438 440 443 445 448 450 453 456 458 461 464 467 470 472 475 478 481 484 487 491 494 497 500 503 507 510 513 517 520 524 528 531 535 539 542 546 550 554 558 562 566 571 575 579 584 588 593 597 602 607 611 616 621 626 631 637 642 647 653 658 664 670 676 682 688 694 700 707 713 720 727 734 741 748 755 763 770 778 786 794 803 811 820 828 837 847 856 866 876 886 896 906 917 928 940 951 963 975 988 1001 1014 1027 1041 1056 1070 1085 1101 1117 1133 1150 1168 1186 1204 1223 1243 1263 1284 1306 1329 1352 1376 1401 1427 1454 1482 1511 1541 1573 1606 1640 1675 1713 1752 1792 1835 1880 1927 1976 2028 2083 2141 2202 2267 2336 2409 2486 2569 2658 2753 2855 2965 3083 3212 3351 3504 3671 3854 4057 4282 4534 4818 5139 5506 5930 6424 7008 7709 8565 9636 11013 12848 15418 19272 25697 38545 77091\n261\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 138 139 140 141 142 143 145 146 147 148 150 151 152 154 155 157 158 159 161 163 164 166 167 169 171 172 174 176 178 180 182 184 186 188 190 192 194 196 199 201 203 206 208 211 213 216 219 222 225 228 231 234 237 241 244 248 251 255 259 263 267 271 276 280 285 290 295 300 305 311 316 322 329 335 342 349 356 364 372 380 388 398 407 417 427 438 450 462 475 489 503 518 534 552 570 590 611 633 658 684 713 744 777 815 855 900 950 1006 1069 1141 1222 1316 1426 1555 1711 1901 2139 2445 2852 3423 4278 5705 8557 17115\n247\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 134 135 136 137 139 140 141 142 144 145 147 148 149 151 152 154 156 157 159 160 162 164 166 168 169 171 173 175 177 179 182 184 186 188 191 193 196 198 201 203 206 209 212 215 218 221 224 228 231 235 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3474 3477 3479 3481 3484 3486 3489 3491 3494 3496 3499 3501 3503 3506 3508 3511 3513 3516 3518 3521 3523 3526 3528 3531 3533 3536 3538 3541 3543 3546 3548 3551 3553 3556 3558 3561 3563 3566 3568 3571 3574 3576 3579 3581 3584 3586 3589 3592 3594 3597 3599 3602 3604 3607 3610 3612 3615 3618 3620 3623 3625 3628 3631 3633 3636 3639 3641 3644 3647 3649 3652 3655 3657 3660 3663 3665 3668 3671 3673 3676 3679 3681 3684 3687 3690 3692 3695 3698 3701 3703 3706 3709 3712 3714 3717 3720 3723 3725 3728 3731 3734 3737 3739 3742 3745 3748 3751 3753 3756 3759 3762 3765 3767 3770 3773 3776 3779 3782 3785 3787 3790 3793 3796 3799 3802 3805 3808 3811 3813 3816 3819 3822 3825 3828 3831 3834 3837 3840 3843 3846 3849 3852 3855 3858 3861 3864 3867 3870 3873 3876 3879 3882 3885 3888 3891 3894 3897 3900 3903 3906 3909 3912 3915 3918 3921 3924 3927 3930 3934 3937 3940 3943 3946 3949 3952 3955 3958 3962 3965 3968 3971 3974 3977 3980 3984 3987 3990 3993 3996 4000 4003 4006 4009 4012 4016 4019 4022 4025 4029 4032 4035 4038 4042 4045 4048 4051 4055 4058 4061 4065 4068 4071 4075 4078 4081 4085 4088 4091 4095 4098 4101 4105 4108 4111 4115 4118 4122 4125 4128 4132 4135 4139 4142 4146 4149 4152 4156 4159 4163 4166 4170 4173 4177 4180 4184 4187 4191 4194 4198 4201 4205 4208 4212 4215 4219 4223 4226 4230 4233 4237 4240 4244 4248 4251 4255 4259 4262 4266 4269 4273 4277 4280 4284 4288 4291 4295 4299 4303 4306 4310 4314 4317 4321 4325 4329 4332 4336 4340 4344 4347 4351 4355 4359 4363 4366 4370 4374 4378 4382 4386 4389 4393 4397 4401 4405 4409 4413 4417 4420 4424 4428 4432 4436 4440 4444 4448 4452 4456 4460 4464 4468 4472 4476 4480 4484 4488 4492 4496 4500 4504 4508 4512 4516 4520 4524 4529 4533 4537 4541 4545 4549 4553 4557 4562 4566 4570 4574 4578 4583 4587 4591 4595 4599 4604 4608 4612 4616 4621 4625 4629 4634 4638 4642 4646 4651 4655 4659 4664 4668 4673 4677 4681 4686 4690 4694 4699 4703 4708 4712 4717 4721 4726 4730 4734 4739 4743 4748 4752 4757 4762 4766 4771 4775 4780 4784 4789 4793 4798 4803 4807 4812 4817 4821 4826 4831 4835 4840 4845 4849 4854 4859 4863 4868 4873 4878 4882 4887 4892 4897 4902 4906 4911 4916 4921 4926 4931 4935 4940 4945 4950 4955 4960 4965 4970 4975 4980 4985 4990 4995 5000 5005 5010 5015 5020 5025 5030 5035 5040 5045 5050 5055 5060 5065 5071 5076 5081 5086 5091 5096 5102 5107 5112 5117 5123 5128 5133 5138 5144 5149 5154 5160 5165 5170 5176 5181 5186 5192 5197 5203 5208 5213 5219 5224 5230 5235 5241 5246 5252 5257 5263 5268 5274 5279 5285 5291 5296 5302 5307 5313 5319 5324 5330 5336 5342 5347 5353 5359 5364 5370 5376 5382 5388 5393 5399 5405 5411 5417 5423 5429 5434 5440 5446 5452 5458 5464 5470 5476 5482 5488 5494 5500 5506 5512 5518 5524 5531 5537 5543 5549 5555 5561 5568 5574 5580 5586 5592 5599 5605 5611 5618 5624 5630 5637 5643 5649 5656 5662 5669 5675 5681 5688 5694 5701 5707 5714 5720 5727 5734 5740 5747 5753 5760 5767 5773 5780 5787 5793 5800 5807 5814 5820 5827 5834 5841 5848 5854 5861 5868 5875 5882 5889 5896 5903 5910 5917 5924 5931 5938 5945 5952 5959 5966 5973 5981 5988 5995 6002 6009 6016 6024 6031 6038 6046 6053 6060 6068 6075 6082 6090 6097 6105 6112 6120 6127 6135 6142 6150 6157 6165 6172 6180 6188 6195 6203 6211 6219 6226 6234 6242 6250 6257 6265 6273 6281 6289 6297 6305 6313 6321 6329 6337 6345 6353 6361 6369 6377 6385 6394 6402 6410 6418 6426 6435 6443 6451 6460 6468 6476 6485 6493 6502 6510 6519 6527 6536 6544 6553 6561 6570 6579 6587 6596 6605 6613 6622 6631 6640 6649 6657 6666 6675 6684 6693 6702 6711 6720 6729 6738 6747 6756 6766 6775 6784 6793 6802 6812 6821 6830 6840 6849 6858 6868 6877 6887 6896 6906 6915 6925 6934 6944 6954 6963 6973 6983 6993 7002 7012 7022 7032 7042 7052 7062 7072 7082 7092 7102 7112 7122 7132 7143 7153 7163 7173 7184 7194 7204 7215 7225 7236 7246 7257 7267 7278 7288 7299 7310 7320 7331 7342 7353 7363 7374 7385 7396 7407 7418 7429 7440 7451 7462 7474 7485 7496 7507 7518 7530 7541 7553 7564 7575 7587 7598 7610 7622 7633 7645 7657 7668 7680 7692 7704 7716 7728 7740 7752 7764 7776 7788 7800 7812 7824 7837 7849 7861 7874 7886 7899 7911 7924 7936 7949 7961 7974 7987 8000 8013 8025 8038 8051 8064 8077 8090 8103 8117 8130 8143 8156 8170 8183 8196 8210 8223 8237 8251 8264 8278 8292 8305 8319 8333 8347 8361 8375 8389 8403 8417 8431 8446 8460 8474 8489 8503 8518 8532 8547 8561 8576 8591 8606 8620 8635 8650 8665 8680 8695 8711 8726 8741 8756 8772 8787 8803 8818 8834 8849 8865 8881 8897 8912 8928 8944 8960 8976 8993 9009 9025 9041 9058 9074 9091 9107 9124 9140 9157 9174 9191 9208 9225 9242 9259 9276 9293 9311 9328 9346 9363 9381 9398 9416 9434 9452 9469 9487 9505 9524 9542 9560 9578 9597 9615 9634 9652 9671 9690 9708 9727 9746 9765 9784 9804 9823 9842 9862 9881 9901 9920 9940 9960 9980 10000 10020 10040 10060 10080 10101 10121 10142 10162 10183 10204 10225 10246 10267 10288 10309 10330 10352 10373 10395 10416 10438 10460 10482 10504 10526 10548 10571 10593 10615 10638 10661 10684 10706 10729 10752 10776 10799 10822 10846 10869 10893 10917 10941 10965 10989 11013 11037 11062 11086 11111 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17668 17730 17794 17857 17921 17986 18050 18116 18182 18248 18315 18382 18450 18518 18587 18657 18727 18797 18868 18939 19011 19084 19157 19231 19305 19380 19455 19531 19608 19685 19763 19841 19920 20000 20080 20161 20243 20325 20408 20492 20576 20661 20747 20833 20921 21008 21097 21186 21277 21368 21459 21552 21645 21739 21834 21930 22026 22124 22222 22321 22422 22523 22624 22727 22831 22936 23042 23148 23256 23365 23474 23585 23697 23810 23924 24039 24155 24272 24390 24510 24631 24753 24876 25000 25126 25253 25381 25510 25641 25773 25907 26042 26178 26316 26455 26596 26738 26882 27027 27174 27323 27473 27624 27778 27933 28090 28249 28409 28572 28736 28902 29070 29240 29412 29586 29762 29940 30121 30303 30488 30675 30864 31056 31250 31447 31646 31847 32052 32258 32468 32680 32895 33113 33334 33557 33784 34014 34247 34483 34723 34965 35212 35461 35715 35972 36232 36497 36765 37037 37314 37594 37879 38168 38462 38760 39063 39371 39683 40000 40323 40651 40984 41323 41667 42017 42373 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18 21 26 32 43 65 130\n77\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 49 51 53 55 57 59 62 64 67 71 74 78 83 87 93 99 106 114 124 135 149 166 186 213 249 298 373 498 747 1494\n", "48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 34 36 39 41 45 48 53 58 65 73 83 97 117 146 195 293 587\n468\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 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1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 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189 190 192 193 195 196 198 200 201 203 205 206 208 210 212 213 215 217 219 221 223 225 227 229 231 234 236 238 240 243 245 248 250 253 255 258 261 263 266 269 272 275 278 281 285 288 291 295 298 302 306 310 314 318 322 326 330 335 339 344 349 354 359 364 370 375 381 387 393 400 406 413 420 427 435 442 451 459 468 477 486 496 506 516 527 539 551 563 576 590 605 620 636 652 670 689 708 729 751 775 800 826 855 885 918 954 992 1033 1078 1127 1181 1240 1305 1378 1459 1550 1653 1771 1908 2067 2255 2480 2756 3100 3543 4134 4961 6201 8268 12403 24806\n", "657\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 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400 401 403 404 406 407 409 410 412 414 415 417 418 420 422 423 425 427 428 430 432 434 435 437 439 441 442 444 446 448 450 452 454 455 457 459 461 463 465 467 469 471 473 476 478 480 482 484 486 488 491 493 495 498 500 502 504 507 509 512 514 517 519 522 524 527 529 532 534 537 540 543 545 548 551 554 557 559 562 565 568 571 574 577 581 584 587 590 593 597 600 603 607 610 614 617 621 624 628 631 635 639 643 647 651 654 658 662 667 671 675 679 683 688 692 697 701 706 710 715 720 725 730 735 740 745 750 755 761 766 771 777 783 788 794 800 806 812 818 824 831 837 844 850 857 864 871 878 885 893 900 908 915 923 931 939 947 956 964 973 982 991 1000 1009 1019 1029 1039 1049 1059 1069 1080 1091 1102 1114 1125 1137 1149 1162 1174 1187 1200 1214 1228 1242 1256 1271 1286 1302 1317 1334 1350 1367 1385 1403 1421 1440 1460 1480 1500 1522 1543 1566 1589 1612 1637 1662 1688 1715 1743 1771 1801 1831 1863 1895 1929 1964 2001 2039 2078 2118 2161 2205 2251 2299 2349 2401 2456 2513 2573 2635 2701 2770 2843 2920 3001 3087 3178 3274 3377 3486 3602 3726 3859 4002 4156 4322 4502 4698 4912 5146 5403 5687 6003 6356 6754 7204 7719 8312 9005 9824 10806 12007 13508 15438 18011 21613 27016 36022 54033 108067\n500\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 267 268 269 270 271 272 274 275 276 277 279 280 281 282 284 285 286 288 289 290 292 293 294 296 297 299 300 301 303 304 306 307 309 310 312 314 315 317 318 320 322 323 325 327 328 330 332 334 336 337 339 341 343 345 347 349 351 353 355 357 359 361 363 365 367 369 372 374 376 378 381 383 385 388 390 393 395 398 400 403 405 408 411 413 416 419 422 425 428 431 434 437 440 443 446 449 452 456 459 462 466 469 473 477 480 484 488 492 496 500 504 508 512 516 520 525 529 534 538 543 548 553 558 563 568 573 578 584 589 595 600 606 612 618 625 631 637 644 651 657 664 672 679 686 694 702 710 718 726 735 744 753 762 771 781 791 801 811 822 833 844 856 868 880 892 905 919 932 946 961 976 992 1008 1024 1041 1059 1077 1096 1116 1136 1157 1179 1201 1225 1250 1275 1302 1329 1358 1388 1420 1453 1488 1524 1562 1602 1644 1689 1736 1785 1838 1893 1953 2016 2083 2155 2232 2314 2403 2500 2604 2717 2840 2976 3125 3289 3472 3676 3906 4166 4464 4807 5208 5681 6250 6944 7812 8928 10416 12500 15625 20833 31250 62500\n324\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 164 165 166 167 168 169 170 171 172 173 174 176 177 178 179 180 182 183 184 185 187 188 189 191 192 194 195 197 198 200 201 203 204 206 207 209 211 212 214 216 218 220 221 223 225 227 229 231 233 235 237 240 242 244 246 249 251 253 256 258 261 264 266 269 272 275 277 280 283 287 290 293 296 300 303 307 310 314 318 322 325 330 334 338 342 347 352 356 361 366 371 377 382 388 394 400 406 412 419 425 432 440 447 455 463 471 480 488 498 507 517 528 538 550 561 574 586 600 614 628 644 660 677 694 713 733 754 776 800 825 851 880 910 943 977 1015 1056 1100 1148 1200 1257 1320 1389 1466 1553 1650 1760 1886 2031 2200 2400 2640 2933 3300 3772 4400 5281 6601 8801 13202 26405\n325\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 176 177 178 179 180 182 183 184 185 187 188 189 191 192 194 195 197 198 200 201 203 204 206 207 209 211 212 214 216 218 220 221 223 225 227 229 231 233 235 237 240 242 244 246 249 251 253 256 258 261 264 266 269 272 275 277 280 283 287 290 293 296 300 303 307 310 314 318 322 326 330 334 338 342 347 352 356 361 366 371 377 382 388 394 400 406 412 419 425 432 440 447 455 463 471 480 489 498 507 517 528 538 550 561 574 586 600 614 628 644 660 677 694 713 733 754 776 800 825 851 880 910 943 978 1015 1056 1100 1148 1200 1257 1320 1389 1467 1553 1650 1760 1886 2031 2200 2400 2640 2934 3300 3772 4401 5281 6601 8802 13203 26406\n816\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 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335 337 340 342 345 348 351 354 357 359 362 366 369 372 375 378 382 385 388 392 395 399 403 407 410 414 418 422 427 431 435 439 444 449 453 458 463 468 473 478 483 489 494 500 506 512 518 524 531 537 544 551 558 565 573 580 588 596 604 613 622 631 640 650 659 670 680 691 702 714 725 738 750 764 777 791 806 821 837 854 871 888 907 926 946 967 989 1012 1037 1062 1088 1116 1146 1177 1209 1244 1281 1319 1361 1405 1451 1501 1555 1613 1675 1742 1814 1893 1979 2074 2177 2292 2419 2562 2722 2903 3111 3350 3629 3959 4355 4839 5444 6222 7259 8711 10889 14518 21778 43556\n", "184\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 103 104 105 107 108 110 111 112 114 116 117 119 121 122 124 126 128 130 132 134 136 138 141 143 146 148 151 154 156 159 162 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170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 309 310 311 312 313 314 315 316 318 319 320 321 322 323 325 326 327 328 329 331 332 333 335 336 337 338 340 341 342 344 345 346 348 349 351 352 353 355 356 358 359 361 362 364 365 367 368 370 371 373 375 376 378 379 381 383 384 386 388 390 391 393 395 397 398 400 402 404 406 408 410 412 414 415 417 419 421 424 426 428 430 432 434 436 438 441 443 445 447 450 452 454 457 459 461 464 466 469 471 474 477 479 482 484 487 490 493 495 498 501 504 507 510 513 516 519 522 525 528 531 535 538 541 545 548 552 555 559 562 566 569 573 577 581 585 589 593 597 601 605 609 613 618 622 626 631 636 640 645 650 655 659 664 670 675 680 685 691 696 702 707 713 719 725 731 737 743 750 756 763 769 776 783 790 797 805 812 820 828 835 843 852 860 869 877 886 895 904 914 923 933 943 954 964 975 986 997 1008 1020 1032 1044 1057 1070 1083 1097 1111 1125 1139 1154 1170 1186 1202 1219 1236 1253 1272 1290 1310 1329 1350 1371 1393 1415 1438 1462 1487 1513 1539 1567 1595 1625 1656 1687 1721 1755 1791 1828 1867 1908 1950 1994 2041 2089 2140 2194 2250 2309 2372 2438 2507 2581 2659 2742 2831 2925 3026 3134 3250 3375 3510 3657 3816 3989 4179 4388 4619 4876 5163 5485 5851 6269 6751 7314 7979 8777 9752 10971 12539 14628 17554 21943 29257 43886 87773\n102\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 56 57 58 60 61 62 64 66 67 69 71 73 75 77 80 82 85 88 91 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1186 1188 1190 1191 1193 1195 1196 1198 1200 1202 1203 1205 1207 1209 1210 1212 1214 1216 1217 1219 1221 1223 1224 1226 1228 1230 1232 1233 1235 1237 1239 1241 1243 1244 1246 1248 1250 1252 1254 1256 1258 1259 1261 1263 1265 1267 1269 1271 1273 1275 1277 1279 1281 1283 1285 1287 1289 1291 1293 1295 1297 1299 1301 1303 1305 1307 1309 1311 1313 1315 1317 1319 1321 1323 1325 1327 1330 1332 1334 1336 1338 1340 1342 1345 1347 1349 1351 1353 1355 1358 1360 1362 1364 1367 1369 1371 1373 1376 1378 1380 1382 1385 1387 1389 1392 1394 1396 1399 1401 1403 1406 1408 1410 1413 1415 1418 1420 1422 1425 1427 1430 1432 1435 1437 1439 1442 1444 1447 1449 1452 1455 1457 1460 1462 1465 1467 1470 1472 1475 1478 1480 1483 1486 1488 1491 1493 1496 1499 1502 1504 1507 1510 1512 1515 1518 1521 1523 1526 1529 1532 1535 1537 1540 1543 1546 1549 1552 1555 1557 1560 1563 1566 1569 1572 1575 1578 1581 1584 1587 1590 1593 1596 1599 1602 1605 1608 1612 1615 1618 1621 1624 1627 1630 1634 1637 1640 1643 1646 1650 1653 1656 1659 1663 1666 1669 1673 1676 1679 1683 1686 1690 1693 1697 1700 1703 1707 1710 1714 1717 1721 1725 1728 1732 1735 1739 1742 1746 1750 1753 1757 1761 1765 1768 1772 1776 1780 1783 1787 1791 1795 1799 1803 1806 1810 1814 1818 1822 1826 1830 1834 1838 1842 1846 1850 1855 1859 1863 1867 1871 1875 1880 1884 1888 1892 1897 1901 1905 1910 1914 1918 1923 1927 1932 1936 1941 1945 1950 1954 1959 1963 1968 1973 1977 1982 1987 1991 1996 2001 2006 2011 2015 2020 2025 2030 2035 2040 2045 2050 2055 2060 2065 2070 2076 2081 2086 2091 2096 2102 2107 2112 2118 2123 2128 2134 2139 2145 2150 2156 2161 2167 2173 2178 2184 2190 2195 2201 2207 2213 2219 2225 2231 2236 2242 2249 2255 2261 2267 2273 2279 2285 2292 2298 2304 2311 2317 2323 2330 2336 2343 2350 2356 2363 2370 2376 2383 2390 2397 2404 2411 2418 2425 2432 2439 2446 2453 2460 2467 2475 2482 2489 2497 2504 2512 2519 2527 2535 2542 2550 2558 2566 2574 2582 2590 2598 2606 2614 2622 2630 2639 2647 2655 2664 2672 2681 2690 2698 2707 2716 2725 2734 2743 2752 2761 2770 2779 2788 2798 2807 2816 2826 2836 2845 2855 2865 2875 2884 2894 2904 2915 2925 2935 2945 2956 2966 2977 2987 2998 3009 3020 3031 3042 3053 3064 3075 3087 3098 3110 3121 3133 3145 3157 3169 3181 3193 3205 3217 3230 3242 3255 3268 3280 3293 3306 3319 3333 3346 3359 3373 3387 3400 3414 3428 3442 3457 3471 3485 3500 3515 3530 3545 3560 3575 3590 3606 3621 3637 3653 3669 3685 3701 3718 3734 3751 3768 3785 3802 3820 3837 3855 3873 3891 3909 3927 3946 3965 3983 4003 4022 4041 4061 4081 4101 4121 4141 4162 4183 4204 4225 4246 4268 4290 4312 4334 4357 4380 4403 4426 4450 4473 4498 4522 4546 4571 4596 4622 4647 4673 4700 4726 4753 4780 4808 4836 4864 4892 4921 4950 4979 5009 5039 5070 5101 5132 5164 5196 5228 5261 5295 5328 5363 5397 5432 5468 5504 5540 5577 5614 5652 5691 5730 5769 5809 5850 5891 5933 5975 6018 6062 6106 6151 6197 6243 6290 6338 6386 6435 6485 6536 6587 6639 6693 6747 6801 6857 6914 6971 7030 7090 7150 7212 7275 7338 7403 7469 7537 7605 7675 7746 7819 7892 7967 8044 8122 8202 8283 8366 8450 8537 8625 8714 8806 8900 8996 9093 9193 9295 9400 9507 9616 9728 9842 9959 10079 10202 10328 10457 10590 10726 10865 11008 11155 11305 11460 11619 11783 11951 12125 12303 12487 12676 12871 13072 13279 13494 13715 13943 14180 14424 14677 14939 15211 15493 15785 16089 16404 16732 17074 17429 17800 18187 18591 19014 19456 19919 20405 20915 21452 22016 22611 23239 23903 24606 25352 26144 26988 27887 28849 29879 30986 32178 33465 34859 36375 38028 39839 41831 44033 46479 49213 52289 55775 59759 64356 69719 76057 83663 92959 104579 119519 139439 167326 209158 278878 418317 836634\n2062\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 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622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1080 1081 1082 1083 1084 1085 1086 1087 1088 1090 1091 1092 1093 1094 1095 1096 1097 1099 1100 1101 1102 1103 1104 1105 1107 1108 1109 1110 1111 1112 1114 1115 1116 1117 1118 1119 1121 1122 1123 1124 1125 1126 1128 1129 1130 1131 1132 1134 1135 1136 1137 1139 1140 1141 1142 1143 1145 1146 1147 1148 1150 1151 1152 1153 1155 1156 1157 1158 1160 1161 1162 1163 1165 1166 1167 1169 1170 1171 1172 1174 1175 1176 1178 1179 1180 1182 1183 1184 1186 1187 1188 1190 1191 1192 1194 1195 1196 1198 1199 1200 1202 1203 1204 1206 1207 1208 1210 1211 1213 1214 1215 1217 1218 1220 1221 1222 1224 1225 1227 1228 1229 1231 1232 1234 1235 1237 1238 1239 1241 1242 1244 1245 1247 1248 1250 1251 1253 1254 1256 1257 1259 1260 1262 1263 1265 1266 1268 1269 1271 1272 1274 1275 1277 1278 1280 1281 1283 1284 1286 1287 1289 1291 1292 1294 1295 1297 1299 1300 1302 1303 1305 1306 1308 1310 1311 1313 1315 1316 1318 1319 1321 1323 1324 1326 1328 1329 1331 1333 1334 1336 1338 1339 1341 1343 1344 1346 1348 1350 1351 1353 1355 1356 1358 1360 1362 1363 1365 1367 1369 1370 1372 1374 1376 1378 1379 1381 1383 1385 1387 1388 1390 1392 1394 1396 1398 1399 1401 1403 1405 1407 1409 1410 1412 1414 1416 1418 1420 1422 1424 1426 1428 1429 1431 1433 1435 1437 1439 1441 1443 1445 1447 1449 1451 1453 1455 1457 1459 1461 1463 1465 1467 1469 1471 1473 1475 1477 1479 1481 1483 1485 1487 1490 1492 1494 1496 1498 1500 1502 1504 1506 1509 1511 1513 1515 1517 1519 1522 1524 1526 1528 1530 1532 1535 1537 1539 1541 1544 1546 1548 1550 1553 1555 1557 1559 1562 1564 1566 1569 1571 1573 1576 1578 1580 1583 1585 1587 1590 1592 1595 1597 1599 1602 1604 1607 1609 1611 1614 1616 1619 1621 1624 1626 1629 1631 1634 1636 1639 1641 1644 1646 1649 1651 1654 1657 1659 1662 1664 1667 1670 1672 1675 1678 1680 1683 1686 1688 1691 1694 1696 1699 1702 1704 1707 1710 1713 1715 1718 1721 1724 1727 1729 1732 1735 1738 1741 1744 1746 1749 1752 1755 1758 1761 1764 1767 1770 1773 1776 1779 1782 1785 1788 1791 1794 1797 1800 1803 1806 1809 1812 1815 1818 1821 1824 1827 1831 1834 1837 1840 1843 1847 1850 1853 1856 1859 1863 1866 1869 1873 1876 1879 1882 1886 1889 1893 1896 1899 1903 1906 1910 1913 1916 1920 1923 1927 1930 1934 1937 1941 1944 1948 1952 1955 1959 1962 1966 1970 1973 1977 1981 1984 1988 1992 1996 1999 2003 2007 2011 2014 2018 2022 2026 2030 2034 2038 2042 2045 2049 2053 2057 2061 2065 2069 2073 2077 2081 2086 2090 2094 2098 2102 2106 2110 2115 2119 2123 2127 2132 2136 2140 2144 2149 2153 2157 2162 2166 2171 2175 2180 2184 2189 2193 2198 2202 2207 2211 2216 2221 2225 2230 2235 2239 2244 2249 2253 2258 2263 2268 2273 2278 2283 2287 2292 2297 2302 2307 2312 2317 2322 2327 2333 2338 2343 2348 2353 2358 2364 2369 2374 2380 2385 2390 2396 2401 2406 2412 2417 2423 2428 2434 2440 2445 2451 2457 2462 2468 2474 2479 2485 2491 2497 2503 2509 2515 2521 2527 2533 2539 2545 2551 2557 2563 2569 2575 2582 2588 2594 2601 2607 2613 2620 2626 2633 2639 2646 2653 2659 2666 2673 2679 2686 2693 2700 2707 2713 2720 2727 2734 2741 2749 2756 2763 2770 2777 2785 2792 2799 2807 2814 2821 2829 2837 2844 2852 2859 2867 2875 2883 2890 2898 2906 2914 2922 2930 2938 2947 2955 2963 2971 2980 2988 2996 3005 3013 3022 3031 3039 3048 3057 3065 3074 3083 3092 3101 3110 3119 3129 3138 3147 3156 3166 3175 3185 3194 3204 3214 3223 3233 3243 3253 3263 3273 3283 3293 3303 3314 3324 3335 3345 3356 3366 3377 3388 3398 3409 3420 3431 3442 3454 3465 3476 3488 3499 3511 3522 3534 3546 3558 3570 3582 3594 3606 3618 3631 3643 3655 3668 3681 3694 3706 3719 3732 3746 3759 3772 3786 3799 3813 3826 3840 3854 3868 3882 3897 3911 3925 3940 3954 3969 3984 3999 4014 4029 4045 4060 4076 4091 4107 4123 4139 4155 4172 4188 4205 4221 4238 4255 4272 4289 4307 4324 4342 4360 4378 4396 4414 4432 4451 4470 4488 4507 4527 4546 4566 4585 4605 4625 4645 4666 4686 4707 4728 4749 4770 4792 4813 4835 4857 4880 4902 4925 4948 4971 4994 5018 5042 5066 5090 5114 5139 5164 5189 5215 5240 5266 5292 5319 5346 5373 5400 5427 5455 5483 5512 5541 5570 5599 5629 5658 5689 5719 5750 5781 5813 5845 5877 5910 5943 5976 6010 6044 6079 6114 6149 6185 6221 6258 6295 6332 6370 6408 6447 6487 6526 6567 6607 6649 6691 6733 6776 6819 6863 6908 6953 6999 7045 7092 7140 7188 7237 7286 7337 7388 7439 7492 7545 7599 7653 7709 7765 7822 7880 7939 7999 8059 8121 8183 8247 8311 8377 8443 8511 8579 8649 8720 8792 8865 8940 9015 9093 9171 9251 9332 9414 9498 9584 9671 9760 9850 9942 10036 10132 10229 10328 10430 10533 10638 10746 10855 10967 11082 11198 11317 11439 11563 11691 11820 11953 12089 12228 12370 12516 12665 12817 12974 13134 13298 13466 13639 13816 13998 14185 14376 14573 14776 14984 15198 15418 15645 15878 16119 16367 16623 16887 17159 17440 17731 18031 18342 18664 18997 19343 19701 20073 20459 20860 21277 21711 22164 22635 23127 23641 24179 24741 25330 25948 26597 27279 27996 28753 29552 30396 31290 32238 33246 34318 35462 36685 37995 39403 40918 42555 44328 46255 48358 50661 53194 55993 59104 62581 66492 70925 75991 81837 88657 96716 106388 118209 132985 151983 177314 212776 265971 354628 531942 1063884\n", "3\n0 1 2\n4\n0 1 2 4\n5\n0 1 2 3 6\n5\n0 1 2 3 7\n5\n0 1 2 3 7\n6\n0 1 2 3 4 9\n6\n0 1 2 3 5 10\n9\n0 1 2 3 4 5 7 11 23\n7\n0 1 2 3 4 6 13\n6\n0 1 2 3 5 10\n", "2982\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 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3106 3108 3110 3111 3113 3114 3116 3117 3119 3121 3122 3124 3125 3127 3129 3130 3132 3133 3135 3136 3138 3140 3141 3143 3144 3146 3148 3149 3151 3152 3154 3156 3157 3159 3161 3162 3164 3165 3167 3169 3170 3172 3174 3175 3177 3178 3180 3182 3183 3185 3187 3188 3190 3192 3193 3195 3197 3198 3200 3202 3203 3205 3207 3208 3210 3212 3213 3215 3217 3218 3220 3222 3223 3225 3227 3228 3230 3232 3233 3235 3237 3239 3240 3242 3244 3245 3247 3249 3250 3252 3254 3256 3257 3259 3261 3262 3264 3266 3268 3269 3271 3273 3275 3276 3278 3280 3282 3283 3285 3287 3289 3290 3292 3294 3296 3297 3299 3301 3303 3304 3306 3308 3310 3312 3313 3315 3317 3319 3320 3322 3324 3326 3328 3329 3331 3333 3335 3337 3338 3340 3342 3344 3346 3347 3349 3351 3353 3355 3357 3358 3360 3362 3364 3366 3368 3369 3371 3373 3375 3377 3379 3380 3382 3384 3386 3388 3390 3392 3393 3395 3397 3399 3401 3403 3405 3407 3408 3410 3412 3414 3416 3418 3420 3422 3424 3425 3427 3429 3431 3433 3435 3437 3439 3441 3443 3445 3446 3448 3450 3452 3454 3456 3458 3460 3462 3464 3466 3468 3470 3472 3474 3476 3478 3480 3481 3483 3485 3487 3489 3491 3493 3495 3497 3499 3501 3503 3505 3507 3509 3511 3513 3515 3517 3519 3521 3523 3525 3527 3529 3531 3533 3535 3537 3539 3541 3543 3545 3548 3550 3552 3554 3556 3558 3560 3562 3564 3566 3568 3570 3572 3574 3576 3578 3580 3583 3585 3587 3589 3591 3593 3595 3597 3599 3601 3603 3606 3608 3610 3612 3614 3616 3618 3620 3622 3625 3627 3629 3631 3633 3635 3637 3640 3642 3644 3646 3648 3650 3653 3655 3657 3659 3661 3663 3666 3668 3670 3672 3674 3676 3679 3681 3683 3685 3687 3690 3692 3694 3696 3698 3701 3703 3705 3707 3710 3712 3714 3716 3719 3721 3723 3725 3728 3730 3732 3734 3737 3739 3741 3743 3746 3748 3750 3752 3755 3757 3759 3762 3764 3766 3768 3771 3773 3775 3778 3780 3782 3785 3787 3789 3792 3794 3796 3799 3801 3803 3806 3808 3810 3813 3815 3817 3820 3822 3825 3827 3829 3832 3834 3836 3839 3841 3844 3846 3848 3851 3853 3856 3858 3860 3863 3865 3868 3870 3873 3875 3877 3880 3882 3885 3887 3890 3892 3894 3897 3899 3902 3904 3907 3909 3912 3914 3917 3919 3922 3924 3927 3929 3932 3934 3937 3939 3942 3944 3947 3949 3952 3954 3957 3959 3962 3965 3967 3970 3972 3975 3977 3980 3982 3985 3988 3990 3993 3995 3998 4001 4003 4006 4008 4011 4014 4016 4019 4021 4024 4027 4029 4032 4035 4037 4040 4042 4045 4048 4050 4053 4056 4058 4061 4064 4066 4069 4072 4074 4077 4080 4083 4085 4088 4091 4093 4096 4099 4102 4104 4107 4110 4112 4115 4118 4121 4123 4126 4129 4132 4135 4137 4140 4143 4146 4148 4151 4154 4157 4160 4162 4165 4168 4171 4174 4176 4179 4182 4185 4188 4191 4194 4196 4199 4202 4205 4208 4211 4214 4216 4219 4222 4225 4228 4231 4234 4237 4240 4243 4245 4248 4251 4254 4257 4260 4263 4266 4269 4272 4275 4278 4281 4284 4287 4290 4293 4296 4299 4302 4305 4308 4311 4314 4317 4320 4323 4326 4329 4332 4335 4338 4341 4344 4347 4350 4353 4356 4359 4362 4366 4369 4372 4375 4378 4381 4384 4387 4390 4394 4397 4400 4403 4406 4409 4412 4416 4419 4422 4425 4428 4431 4435 4438 4441 4444 4447 4451 4454 4457 4460 4463 4467 4470 4473 4476 4480 4483 4486 4489 4493 4496 4499 4502 4506 4509 4512 4516 4519 4522 4526 4529 4532 4536 4539 4542 4546 4549 4552 4556 4559 4562 4566 4569 4573 4576 4579 4583 4586 4590 4593 4596 4600 4603 4607 4610 4614 4617 4620 4624 4627 4631 4634 4638 4641 4645 4648 4652 4655 4659 4662 4666 4669 4673 4676 4680 4684 4687 4691 4694 4698 4701 4705 4709 4712 4716 4719 4723 4727 4730 4734 4737 4741 4745 4748 4752 4756 4759 4763 4767 4770 4774 4778 4782 4785 4789 4793 4796 4800 4804 4808 4811 4815 4819 4823 4826 4830 4834 4838 4842 4845 4849 4853 4857 4861 4864 4868 4872 4876 4880 4884 4888 4891 4895 4899 4903 4907 4911 4915 4919 4923 4927 4930 4934 4938 4942 4946 4950 4954 4958 4962 4966 4970 4974 4978 4982 4986 4990 4994 4998 5002 5006 5011 5015 5019 5023 5027 5031 5035 5039 5043 5047 5052 5056 5060 5064 5068 5072 5076 5081 5085 5089 5093 5097 5102 5106 5110 5114 5119 5123 5127 5131 5136 5140 5144 5148 5153 5157 5161 5166 5170 5174 5179 5183 5187 5192 5196 5200 5205 5209 5214 5218 5222 5227 5231 5236 5240 5245 5249 5254 5258 5263 5267 5272 5276 5281 5285 5290 5294 5299 5303 5308 5312 5317 5322 5326 5331 5335 5340 5345 5349 5354 5359 5363 5368 5372 5377 5382 5387 5391 5396 5401 5405 5410 5415 5420 5424 5429 5434 5439 5444 5448 5453 5458 5463 5468 5473 5477 5482 5487 5492 5497 5502 5507 5512 5517 5521 5526 5531 5536 5541 5546 5551 5556 5561 5566 5571 5576 5581 5586 5592 5597 5602 5607 5612 5617 5622 5627 5632 5637 5643 5648 5653 5658 5663 5669 5674 5679 5684 5689 5695 5700 5705 5710 5716 5721 5726 5732 5737 5742 5748 5753 5758 5764 5769 5775 5780 5785 5791 5796 5802 5807 5813 5818 5824 5829 5835 5840 5846 5851 5857 5862 5868 5873 5879 5885 5890 5896 5902 5907 5913 5919 5924 5930 5936 5941 5947 5953 5959 5964 5970 5976 5982 5987 5993 5999 6005 6011 6017 6022 6028 6034 6040 6046 6052 6058 6064 6070 6076 6082 6088 6094 6100 6106 6112 6118 6124 6130 6136 6142 6148 6155 6161 6167 6173 6179 6185 6192 6198 6204 6210 6217 6223 6229 6235 6242 6248 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7844 7854 7864 7874 7884 7894 7904 7914 7924 7935 7945 7955 7965 7976 7986 7996 8007 8017 8028 8038 8048 8059 8070 8080 8091 8101 8112 8123 8133 8144 8155 8166 8176 8187 8198 8209 8220 8231 8242 8253 8264 8275 8286 8297 8308 8320 8331 8342 8353 8365 8376 8388 8399 8410 8422 8433 8445 8456 8468 8480 8491 8503 8515 8527 8538 8550 8562 8574 8586 8598 8610 8622 8634 8646 8658 8670 8682 8695 8707 8719 8732 8744 8756 8769 8781 8794 8806 8819 8832 8844 8857 8870 8882 8895 8908 8921 8934 8947 8960 8973 8986 8999 9012 9025 9038 9052 9065 9078 9092 9105 9119 9132 9146 9159 9173 9186 9200 9214 9228 9241 9255 9269 9283 9297 9311 9325 9339 9353 9368 9382 9396 9410 9425 9439 9454 9468 9483 9497 9512 9527 9541 9556 9571 9586 9601 9616 9631 9646 9661 9676 9691 9706 9722 9737 9752 9768 9783 9799 9814 9830 9846 9861 9877 9893 9909 9925 9941 9957 9973 9989 10005 10022 10038 10054 10071 10087 10104 10120 10137 10153 10170 10187 10204 10221 10238 10255 10272 10289 10306 10323 10340 10358 10375 10393 10410 10428 10445 10463 10481 10499 10517 10535 10553 10571 10589 10607 10625 10644 10662 10680 10699 10718 10736 10755 10774 10792 10811 10830 10849 10868 10888 10907 10926 10946 10965 10985 11004 11024 11043 11063 11083 11103 11123 11143 11163 11184 11204 11224 11245 11265 11286 11306 11327 11348 11369 11390 11411 11432 11453 11475 11496 11517 11539 11560 11582 11604 11626 11648 11670 11692 11714 11736 11759 11781 11804 11826 11849 11872 11895 11918 11941 11964 11987 12010 12034 12057 12081 12105 12128 12152 12176 12200 12224 12249 12273 12297 12322 12347 12371 12396 12421 12446 12471 12497 12522 12547 12573 12599 12624 12650 12676 12702 12729 12755 12781 12808 12834 12861 12888 12915 12942 12969 12996 13024 13051 13079 13107 13135 13163 13191 13219 13248 13276 13305 13333 13362 13391 13420 13450 13479 13508 13538 13568 13598 13628 13658 13688 13719 13749 13780 13811 13842 13873 13904 13935 13967 13999 14030 14062 14094 14127 14159 14192 14224 14257 14290 14323 14357 14390 14424 14458 14491 14526 14560 14594 14629 14664 14698 14734 14769 14804 14840 14876 14912 14948 14984 15020 15057 15094 15131 15168 15205 15243 15281 15319 15357 15395 15433 15472 15511 15550 15589 15629 15668 15708 15748 15789 15829 15870 15911 15952 15993 16035 16077 16118 16161 16203 16246 16289 16332 16375 16419 16462 16506 16551 16595 16640 16685 16730 16776 16821 16867 16913 16960 17007 17054 17101 17148 17196 17244 17292 17341 17390 17439 17488 17538 17588 17638 17689 17740 17791 17842 17894 17946 17998 18051 18104 18157 18211 18265 18319 18373 18428 18483 18539 18595 18651 18707 18764 18821 18879 18937 18995 19054 19113 19172 19232 19292 19352 19413 19474 19536 19598 19661 19723 19787 19850 19914 19979 20044 20109 20175 20241 20307 20374 20442 20510 20578 20647 20716 20786 20856 20927 20998 21070 21142 21215 21288 21361 21436 21510 21585 21661 21737 21814 21892 21970 22048 22127 22207 22287 22368 22449 22531 22613 22696 22780 22865 22950 23035 23121 23208 23296 23384 23473 23563 23653 23744 23836 23928 24021 24115 24210 24305 24401 24498 24595 24694 24793 24893 24994 25095 25198 25301 25405 25510 25616 25723 25830 25939 26048 26159 26270 26382 26496 26610 26725 26841 26958 27077 27196 27316 27438 27560 27684 27808 27934 28061 28189 28319 28449 28581 28714 28848 28983 29120 29258 29397 29538 29680 29824 29968 30114 30262 30411 30562 30714 30867 31022 31179 31337 31497 31659 31822 31987 32154 32322 32492 32664 32838 33013 33191 33370 33552 33735 33920 34108 34297 34489 34682 34878 35077 35277 35480 35685 35892 36102 36315 36530 36747 36967 37190 37415 37643 37874 38108 38345 38584 38827 39073 39322 39574 39829 40088 40350 40615 40884 41157 41433 41713 41997 42284 42576 42872 43171 43475 43784 44096 44414 44736 45062 45393 45730 46071 46417 46769 47126 47489 47857 48231 48610 48996 49388 49786 50191 50603 51021 51446 51878 52318 52765 53220 53683 54154 54633 55121 55617 56123 56638 57162 57696 58241 58795 59361 59937 60525 61124 61735 62359 62995 63645 64308 64984 65676 66382 67104 67841 68595 69365 70154 70960 71785 72630 73494 74380 75287 76216 77169 78146 79148 80176 81231 82314 83426 84569 85744 86951 88193 89472 90787 92142 93538 94978 96462 97993 99573 101206 102892 104636 106440 108308 110242 112246 114325 116482 118722 121050 123471 125991 128616 131352 134208 137190 140308 143571 146989 150574 154339 158296 162462 166853 171488 176387 181575 187077 192924 199147 205785 212881 220484 228650 237445 246942 257232 268416 280616 293979 308678 324924 342976 363151 385848 411571 440969 474890 514464 561233 617357 685952 771696 881938 1028928 1234714 1543392 2057857 3086785 6173571\n", "19\n0 1 2 3 4 5 6 7 8 9 10 11 13 15 18 23 30 46 92\n10\n0 1 2 3 4 5 6 8 12 25\n10\n0 1 2 3 4 5 7 9 14 29\n11\n0 1 2 3 4 5 6 7 10 15 30\n19\n0 1 2 3 4 5 6 7 8 9 11 12 14 16 19 24 33 49 99\n20\n0 1 2 3 4 5 6 7 8 9 10 11 12 14 16 20 25 33 50 100\n15\n0 1 2 3 4 5 6 7 8 9 11 14 19 29 58\n21\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 18 22 27 36 55 110\n29\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 22 24 28 32 37 44 56 74 112 224\n30\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 22 25 28 32 37 45 56 75 112 225\n", "37\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 26 28 31 34 38 43 49 57 69 86 115 173 347\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 29 31 34 37 41 46 51 59 69 82 103 138 207 414\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 36 37 39 41 43 45 48 51 54 57 62 66 72 79 86 96 108 124 144 173 217 289 434 869\n35\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 31 34 39 44 52 62 78 104 157 314\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 46 49 52 56 60 64 70 76 84 93 105 120 140 168 210 280 421 842\n59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 41 43 45 48 51 54 58 62 67 72 79 87 96 108 124 145 174 217 290 435 871\n25\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 18 20 23 27 33 41 55 83 167\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 40 42 44 46 48 51 54 57 61 65 69 75 81 88 97 108 122 139 163 195 244 326 489 978\n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 27 28 31 33 36 39 43 48 54 62 72 86 108 144 217 434\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 113 135 169 226 339 678\n", "32\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 27 30 33 38 45 54 67 90 135 271\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 28 33 39 49 66 99 198\n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89\n11\n0 1 2 3 4 5 6 8 11 16 33\n60\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 37 38 40 42 44 46 48 51 54 58 61 66 71 77 84 92 103 116 132 154 185 232 309 464 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1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 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2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2354 2355 2356 2357 2358 2359 2360 2361 2363 2364 2365 2366 2367 2368 2369 2370 2371 2373 2374 2375 2376 2377 2378 2379 2381 2382 2383 2384 2385 2386 2387 2388 2390 2391 2392 2393 2394 2395 2396 2398 2399 2400 2401 2402 2403 2405 2406 2407 2408 2409 2410 2412 2413 2414 2415 2416 2417 2419 2420 2421 2422 2423 2424 2426 2427 2428 2429 2430 2431 2433 2434 2435 2436 2437 2439 2440 2441 2442 2443 2445 2446 2447 2448 2449 2451 2452 2453 2454 2455 2457 2458 2459 2460 2461 2463 2464 2465 2466 2467 2469 2470 2471 2472 2474 2475 2476 2477 2478 2480 2481 2482 2483 2485 2486 2487 2488 2490 2491 2492 2493 2495 2496 2497 2498 2500 2501 2502 2503 2505 2506 2507 2508 2510 2511 2512 2513 2515 2516 2517 2518 2520 2521 2522 2524 2525 2526 2527 2529 2530 2531 2532 2534 2535 2536 2538 2539 2540 2542 2543 2544 2545 2547 2548 2549 2551 2552 2553 2554 2556 2557 2558 2560 2561 2562 2564 2565 2566 2568 2569 2570 2572 2573 2574 2576 2577 2578 2580 2581 2582 2584 2585 2586 2588 2589 2590 2592 2593 2594 2596 2597 2598 2600 2601 2602 2604 2605 2606 2608 2609 2611 2612 2613 2615 2616 2617 2619 2620 2621 2623 2624 2626 2627 2628 2630 2631 2633 2634 2635 2637 2638 2639 2641 2642 2644 2645 2646 2648 2649 2651 2652 2653 2655 2656 2658 2659 2661 2662 2663 2665 2666 2668 2669 2671 2672 2673 2675 2676 2678 2679 2681 2682 2683 2685 2686 2688 2689 2691 2692 2694 2695 2696 2698 2699 2701 2702 2704 2705 2707 2708 2710 2711 2713 2714 2715 2717 2718 2720 2721 2723 2724 2726 2727 2729 2730 2732 2733 2735 2736 2738 2739 2741 2742 2744 2745 2747 2748 2750 2751 2753 2754 2756 2757 2759 2760 2762 2764 2765 2767 2768 2770 2771 2773 2774 2776 2777 2779 2780 2782 2784 2785 2787 2788 2790 2791 2793 2794 2796 2798 2799 2801 2802 2804 2805 2807 2809 2810 2812 2813 2815 2816 2818 2820 2821 2823 2824 2826 2828 2829 2831 2832 2834 2836 2837 2839 2840 2842 2844 2845 2847 2849 2850 2852 2853 2855 2857 2858 2860 2862 2863 2865 2867 2868 2870 2871 2873 2875 2876 2878 2880 2881 2883 2885 2886 2888 2890 2891 2893 2895 2896 2898 2900 2901 2903 2905 2907 2908 2910 2912 2913 2915 2917 2918 2920 2922 2924 2925 2927 2929 2930 2932 2934 2936 2937 2939 2941 2942 2944 2946 2948 2949 2951 2953 2955 2956 2958 2960 2962 2963 2965 2967 2969 2970 2972 2974 2976 2978 2979 2981 2983 2985 2986 2988 2990 2992 2994 2995 2997 2999 3001 3003 3004 3006 3008 3010 3012 3013 3015 3017 3019 3021 3023 3024 3026 3028 3030 3032 3034 3035 3037 3039 3041 3043 3045 3046 3048 3050 3052 3054 3056 3058 3060 3061 3063 3065 3067 3069 3071 3073 3075 3076 3078 3080 3082 3084 3086 3088 3090 3092 3094 3096 3097 3099 3101 3103 3105 3107 3109 3111 3113 3115 3117 3119 3121 3123 3125 3127 3128 3130 3132 3134 3136 3138 3140 3142 3144 3146 3148 3150 3152 3154 3156 3158 3160 3162 3164 3166 3168 3170 3172 3174 3176 3178 3180 3182 3184 3186 3188 3190 3192 3194 3197 3199 3201 3203 3205 3207 3209 3211 3213 3215 3217 3219 3221 3223 3225 3227 3230 3232 3234 3236 3238 3240 3242 3244 3246 3248 3251 3253 3255 3257 3259 3261 3263 3265 3268 3270 3272 3274 3276 3278 3280 3283 3285 3287 3289 3291 3293 3296 3298 3300 3302 3304 3306 3309 3311 3313 3315 3317 3320 3322 3324 3326 3328 3331 3333 3335 3337 3340 3342 3344 3346 3349 3351 3353 3355 3358 3360 3362 3364 3367 3369 3371 3373 3376 3378 3380 3383 3385 3387 3389 3392 3394 3396 3399 3401 3403 3406 3408 3410 3413 3415 3417 3420 3422 3424 3427 3429 3431 3434 3436 3438 3441 3443 3445 3448 3450 3453 3455 3457 3460 3462 3465 3467 3469 3472 3474 3477 3479 3481 3484 3486 3489 3491 3494 3496 3499 3501 3503 3506 3508 3511 3513 3516 3518 3521 3523 3526 3528 3531 3533 3536 3538 3541 3543 3546 3548 3551 3553 3556 3558 3561 3563 3566 3568 3571 3574 3576 3579 3581 3584 3586 3589 3592 3594 3597 3599 3602 3604 3607 3610 3612 3615 3618 3620 3623 3625 3628 3631 3633 3636 3639 3641 3644 3647 3649 3652 3655 3657 3660 3663 3665 3668 3671 3673 3676 3679 3681 3684 3687 3690 3692 3695 3698 3701 3703 3706 3709 3712 3714 3717 3720 3723 3725 3728 3731 3734 3737 3739 3742 3745 3748 3751 3753 3756 3759 3762 3765 3767 3770 3773 3776 3779 3782 3785 3787 3790 3793 3796 3799 3802 3805 3808 3811 3813 3816 3819 3822 3825 3828 3831 3834 3837 3840 3843 3846 3849 3852 3855 3858 3861 3864 3867 3870 3873 3876 3879 3882 3885 3888 3891 3894 3897 3900 3903 3906 3909 3912 3915 3918 3921 3924 3927 3930 3934 3937 3940 3943 3946 3949 3952 3955 3958 3962 3965 3968 3971 3974 3977 3980 3984 3987 3990 3993 3996 4000 4003 4006 4009 4012 4016 4019 4022 4025 4029 4032 4035 4038 4042 4045 4048 4051 4055 4058 4061 4065 4068 4071 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4868 4873 4878 4882 4887 4892 4897 4902 4906 4911 4916 4921 4926 4931 4935 4940 4945 4950 4955 4960 4965 4970 4975 4980 4985 4990 4995 5000 5005 5010 5015 5020 5025 5030 5035 5040 5045 5050 5055 5060 5065 5071 5076 5081 5086 5091 5096 5102 5107 5112 5117 5123 5128 5133 5138 5144 5149 5154 5160 5165 5170 5176 5181 5186 5192 5197 5203 5208 5213 5219 5224 5230 5235 5241 5246 5252 5257 5263 5268 5274 5279 5285 5291 5296 5302 5307 5313 5319 5324 5330 5336 5342 5347 5353 5359 5364 5370 5376 5382 5388 5393 5399 5405 5411 5417 5423 5429 5434 5440 5446 5452 5458 5464 5470 5476 5482 5488 5494 5500 5506 5512 5518 5524 5531 5537 5543 5549 5555 5561 5568 5574 5580 5586 5592 5599 5605 5611 5618 5624 5630 5637 5643 5649 5656 5662 5669 5675 5681 5688 5694 5701 5707 5714 5720 5727 5734 5740 5747 5753 5760 5767 5773 5780 5787 5793 5800 5807 5814 5820 5827 5834 5841 5848 5854 5861 5868 5875 5882 5889 5896 5903 5910 5917 5924 5931 5938 5945 5952 5959 5966 5973 5981 5988 5995 6002 6009 6016 6024 6031 6038 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7974 7987 8000 8013 8025 8038 8051 8064 8077 8090 8103 8117 8130 8143 8156 8170 8183 8196 8210 8223 8237 8251 8264 8278 8292 8305 8319 8333 8347 8361 8375 8389 8403 8417 8431 8446 8460 8474 8489 8503 8518 8532 8547 8561 8576 8591 8606 8620 8635 8650 8665 8680 8695 8711 8726 8741 8756 8772 8787 8803 8818 8834 8849 8865 8881 8897 8912 8928 8944 8960 8976 8993 9009 9025 9041 9058 9074 9091 9107 9124 9140 9157 9174 9191 9208 9225 9242 9259 9276 9293 9311 9328 9346 9363 9381 9398 9416 9434 9452 9469 9487 9505 9524 9542 9560 9578 9597 9615 9634 9652 9671 9690 9708 9727 9746 9765 9784 9804 9823 9842 9862 9881 9901 9920 9940 9960 9980 10000 10020 10040 10060 10080 10101 10121 10142 10162 10183 10204 10225 10246 10267 10288 10309 10330 10352 10373 10395 10416 10438 10460 10482 10504 10526 10548 10571 10593 10615 10638 10661 10684 10706 10729 10752 10776 10799 10822 10846 10869 10893 10917 10941 10965 10989 11013 11037 11062 11086 11111 11136 11160 11185 11211 11236 11261 11286 11312 11338 11363 11389 11415 11441 11468 11494 11521 11547 11574 11601 11628 11655 11682 11709 11737 11764 11792 11820 11848 11876 11905 11933 11962 11990 12019 12048 12077 12106 12136 12165 12195 12225 12255 12285 12315 12345 12376 12407 12438 12469 12500 12531 12563 12594 12626 12658 12690 12722 12755 12788 12820 12853 12886 12920 12953 12987 13021 13055 13089 13123 13158 13192 13227 13262 13298 13333 13369 13405 13441 13477 13513 13550 13587 13624 13661 13698 13736 13774 13812 13850 13889 13927 13966 14005 14045 14084 14124 14164 14204 14245 14286 14327 14368 14409 14451 14493 14535 14577 14620 14663 14706 14749 14793 14837 14881 14925 14970 15015 15060 15106 15151 15197 15244 15290 15337 15384 15432 15480 15528 15576 15625 15674 15723 15773 15823 15873 15923 15974 16026 16077 16129 16181 16234 16287 16340 16393 16447 16502 16556 16611 16667 16722 16778 16835 16892 16949 17007 17065 17123 17182 17241 17301 17361 17422 17482 17544 17606 17668 17730 17794 17857 17921 17986 18050 18116 18182 18248 18315 18382 18450 18518 18587 18657 18727 18797 18868 18939 19011 19084 19157 19231 19305 19380 19455 19531 19608 19685 19763 19841 19920 20000 20080 20161 20243 20325 20408 20492 20576 20661 20747 20833 20921 21008 21097 21186 21277 21368 21459 21552 21645 21739 21834 21930 22026 22124 22222 22321 22422 22523 22624 22727 22831 22936 23042 23148 23256 23365 23474 23585 23697 23810 23924 24039 24155 24272 24390 24510 24631 24753 24876 25000 25126 25253 25381 25510 25641 25773 25907 26042 26178 26316 26455 26596 26738 26882 27027 27174 27323 27473 27624 27778 27933 28090 28249 28409 28572 28736 28902 29070 29240 29412 29586 29762 29940 30121 30303 30488 30675 30864 31056 31250 31447 31646 31847 32052 32258 32468 32680 32895 33113 33334 33557 33784 34014 34247 34483 34723 34965 35212 35461 35715 35972 36232 36497 36765 37037 37314 37594 37879 38168 38462 38760 39063 39371 39683 40000 40323 40651 40984 41323 41667 42017 42373 42736 43104 43479 43860 44248 44643 45046 45455 45872 46297 46730 47170 47620 48078 48544 49020 49506 50001 50506 51021 51547 52084 52632 53192 53764 54349 54946 55556 56181 56819 57472 58140 58824 59525 60242 60977 61729 62501 63292 64104 64936 65791 66668 67569 68494 69446 70424 71430 72465 73531 74628 75759 76924 78126 79367 80647 81969 83335 84747 86209 87721 89287 90911 92594 94341 96156 98041 100002 102043 104169 106385 108698 111113 113639 116281 119050 121954 125003 128208 131582 135138 138892 142860 147062 151518 156253 161294 166670 172418 178575 185189 192312 200004 208338 217396 227278 238101 250006 263164 277784 294124 312507 333341 357151 384624 416677 454556 500012 555569 625015 714303 833354 1000024 1250031 1666708 2500062 5000124\n", "64\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 41 43 45 47 49 52 54 57 61 65 69 74 80 86 94 104 115 130 148 173 208 260 346 520 1040\n19\n0 1 2 3 4 5 6 7 8 9 10 12 13 16 19 24 32 48 96\n77\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 49 51 53 55 57 59 62 64 67 71 74 78 83 87 93 99 106 114 124 135 149 166 186 213 249 298 373 498 747 1494\n", "48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 34 36 39 41 45 48 53 58 65 73 83 97 117 146 195 293 587\n468\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 238 239 240 241 242 243 244 245 246 247 248 249 251 252 253 254 255 256 258 259 260 261 263 264 265 266 268 269 270 272 273 274 276 277 279 280 281 283 284 286 287 289 290 292 294 295 297 298 300 302 303 305 307 308 310 312 314 315 317 319 321 323 325 327 329 331 333 335 337 339 341 343 345 347 350 352 354 357 359 361 364 366 369 371 374 376 379 381 384 387 389 392 395 398 401 404 407 410 413 416 419 422 426 429 432 436 439 443 447 450 454 458 462 465 469 473 478 482 486 490 495 499 504 509 513 518 523 528 533 539 544 549 555 561 566 572 578 584 591 597 604 610 617 624 631 639 646 654 662 670 678 687 695 704 714 723 733 742 753 763 774 785 796 808 820 833 845 859 872 886 901 916 931 947 964 981 999 1018 1037 1057 1078 1099 1122 1145 1169 1195 1221 1249 1278 1309 1341 1374 1409 1446 1485 1527 1570 1617 1666 1718 1773 1832 1895 1963 2036 2114 2199 2290 2390 2499 2618 2749 2893 3054 3234 3436 3665 3927 4229 4581 4998 5498 6109 6872 7854 9163 10996 13745 18327 27490 54981\n172\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 96 97 98 99 101 102 104 105 107 108 110 112 113 115 117 119 121 123 125 127 129 132 134 137 139 142 145 147 151 154 157 160 164 168 172 176 180 184 189 194 199 205 211 217 224 231 238 246 255 264 274 284 295 308 321 336 352 369 389 411 435 462 493 528 569 616 672 739 822 924 1057 1233 1479 1849 2466 3699 7399\n208\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 112 113 114 115 116 118 119 120 122 123 125 126 127 129 131 132 134 135 137 139 141 143 145 146 149 151 153 155 157 159 162 164 167 169 172 175 178 181 184 187 190 194 197 201 205 209 213 217 221 226 231 236 241 247 252 258 265 271 278 286 293 302 310 319 329 339 350 362 375 388 402 418 435 453 472 494 517 543 572 604 639 679 725 776 836 906 988 1087 1208 1359 1553 1812 2175 2719 3625 5438 10877\n", "479\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 253 254 255 256 257 258 259 261 262 263 264 265 267 268 269 270 272 273 274 276 277 278 280 281 282 284 285 287 288 290 291 293 294 296 297 299 300 302 303 305 307 308 310 312 313 315 317 319 320 322 324 326 328 330 332 333 335 337 339 341 343 346 348 350 352 354 356 358 361 363 365 368 370 372 375 377 380 382 385 388 390 393 396 398 401 404 407 410 413 416 419 422 425 428 431 435 438 441 445 448 452 455 459 463 466 470 474 478 482 486 490 495 499 503 508 512 517 522 526 531 536 541 547 552 557 563 568 574 580 586 592 598 604 611 617 624 631 638 645 652 660 667 675 683 692 700 709 717 727 736 745 755 765 776 786 797 808 820 832 844 857 870 883 897 911 926 941 957 973 990 1007 1025 1044 1063 1083 1104 1126 1148 1172 1196 1222 1248 1276 1305 1335 1367 1400 1435 1472 1511 1552 1595 1641 1689 1740 1794 1852 1914 1980 2051 2127 2209 2297 2393 2497 2610 2735 2871 3022 3190 3378 3589 3829 4102 4418 4786 5221 5743 6381 7179 8205 9572 11487 14359 19145 28718 57436\n321\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 169 170 171 172 173 174 175 177 178 179 180 182 183 184 186 187 188 190 191 193 194 195 197 198 200 202 203 205 206 208 210 211 213 215 217 219 221 222 224 226 228 230 232 235 237 239 241 243 246 248 251 253 256 258 261 263 266 269 272 275 278 281 284 287 290 293 297 300 304 307 311 315 319 323 327 331 335 340 344 349 354 359 364 369 374 380 386 391 397 404 410 417 423 431 438 445 453 461 470 478 487 497 507 517 527 538 550 562 574 587 601 615 630 646 663 680 698 718 738 760 783 808 834 862 891 923 957 994 1034 1077 1124 1175 1231 1293 1361 1436 1521 1616 1724 1847 1989 2155 2351 2586 2873 3232 3694 4310 5172 6465 8620 12931 25862\n", "59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 41 44 46 48 51 55 58 62 67 73 80 88 97 110 125 146 176 220 293 440 880\n12\n0 1 2 3 4 5 6 7 9 12 18 37\n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 38 39 41 43 45 47 50 53 56 59 63 68 73 79 86 95 106 119 136 159 190 238 318 477 954\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 23 26 29 34 41 52 69 104 208\n2\n0 1\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 37 39 41 43 45 47 50 53 57 61 66 71 78 86 95 107 123 143 172 215 287 430 861\n45\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 29 30 32 35 37 40 43 47 52 58 65 75 87 105 131 175 262 525\n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 33 35 37 39 41 44 47 51 55 60 67 74 83 95 111 134 167 223 335 670\n12\n0 1 2 3 4 5 6 7 9 12 19 38\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 27 29 31 33 36 40 45 50 58 67 81 101 135 203 406\n39\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 27 29 32 34 38 42 48 54 64 76 96 128 192 384\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 40 42 44 46 48 51 53 57 60 64 69 74 80 88 96 107 121 138 161 193 242 323 484 969\n", "50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 33 35 37 40 42 45 49 53 58 64 71 80 91 107 128 160 214 321 642\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 112 135 169 225 338 676\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 34 36 38 40 42 45 48 52 57 62 68 76 85 97 114 136 171 228 342 684\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n43\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 29 31 33 35 38 42 46 51 58 66 77 93 116 155 232 465\n48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 31 33 35 37 39 42 46 49 54 59 66 74 85 99 119 149 199 299 599\n49\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 31 33 35 37 40 42 46 50 54 60 66 75 85 100 120 150 200 300 600\n", "4185\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 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742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 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1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2202 2203 2204 2205 2206 2207 2208 2209 2210 2212 2213 2214 2215 2216 2217 2218 2219 2221 2222 2223 2224 2225 2226 2227 2228 2230 2231 2232 2233 2234 2235 2236 2238 2239 2240 2241 2242 2243 2244 2246 2247 2248 2249 2250 2251 2253 2254 2255 2256 2257 2258 2260 2261 2262 2263 2264 2265 2267 2268 2269 2270 2271 2272 2274 2275 2276 2277 2278 2280 2281 2282 2283 2284 2286 2287 2288 2289 2290 2291 2293 2294 2295 2296 2297 2299 2300 2301 2302 2304 2305 2306 2307 2308 2310 2311 2312 2313 2314 2316 2317 2318 2319 2321 2322 2323 2324 2326 2327 2328 2329 2331 2332 2333 2334 2335 2337 2338 2339 2340 2342 2343 2344 2345 2347 2348 2349 2351 2352 2353 2354 2356 2357 2358 2359 2361 2362 2363 2364 2366 2367 2368 2370 2371 2372 2373 2375 2376 2377 2379 2380 2381 2383 2384 2385 2386 2388 2389 2390 2392 2393 2394 2396 2397 2398 2399 2401 2402 2403 2405 2406 2407 2409 2410 2411 2413 2414 2415 2417 2418 2419 2421 2422 2423 2425 2426 2427 2429 2430 2431 2433 2434 2436 2437 2438 2440 2441 2442 2444 2445 2446 2448 2449 2451 2452 2453 2455 2456 2457 2459 2460 2462 2463 2464 2466 2467 2468 2470 2471 2473 2474 2475 2477 2478 2480 2481 2482 2484 2485 2487 2488 2490 2491 2492 2494 2495 2497 2498 2499 2501 2502 2504 2505 2507 2508 2510 2511 2512 2514 2515 2517 2518 2520 2521 2523 2524 2525 2527 2528 2530 2531 2533 2534 2536 2537 2539 2540 2542 2543 2545 2546 2547 2549 2550 2552 2553 2555 2556 2558 2559 2561 2562 2564 2565 2567 2568 2570 2571 2573 2574 2576 2577 2579 2581 2582 2584 2585 2587 2588 2590 2591 2593 2594 2596 2597 2599 2600 2602 2604 2605 2607 2608 2610 2611 2613 2614 2616 2618 2619 2621 2622 2624 2625 2627 2629 2630 2632 2633 2635 2636 2638 2640 2641 2643 2644 2646 2648 2649 2651 2652 2654 2656 2657 2659 2660 2662 2664 2665 2667 2669 2670 2672 2673 2675 2677 2678 2680 2682 2683 2685 2687 2688 2690 2692 2693 2695 2697 2698 2700 2702 2703 2705 2707 2708 2710 2712 2713 2715 2717 2718 2720 2722 2723 2725 2727 2728 2730 2732 2734 2735 2737 2739 2740 2742 2744 2746 2747 2749 2751 2752 2754 2756 2758 2759 2761 2763 2765 2766 2768 2770 2772 2773 2775 2777 2779 2780 2782 2784 2786 2788 2789 2791 2793 2795 2796 2798 2800 2802 2804 2805 2807 2809 2811 2813 2814 2816 2818 2820 2822 2823 2825 2827 2829 2831 2833 2834 2836 2838 2840 2842 2844 2845 2847 2849 2851 2853 2855 2857 2858 2860 2862 2864 2866 2868 2870 2872 2874 2875 2877 2879 2881 2883 2885 2887 2889 2891 2892 2894 2896 2898 2900 2902 2904 2906 2908 2910 2912 2914 2916 2918 2919 2921 2923 2925 2927 2929 2931 2933 2935 2937 2939 2941 2943 2945 2947 2949 2951 2953 2955 2957 2959 2961 2963 2965 2967 2969 2971 2973 2975 2977 2979 2981 2983 2985 2987 2989 2991 2993 2995 2997 2999 3002 3004 3006 3008 3010 3012 3014 3016 3018 3020 3022 3024 3026 3029 3031 3033 3035 3037 3039 3041 3043 3045 3048 3050 3052 3054 3056 3058 3060 3062 3065 3067 3069 3071 3073 3075 3077 3080 3082 3084 3086 3088 3091 3093 3095 3097 3099 3101 3104 3106 3108 3110 3112 3115 3117 3119 3121 3124 3126 3128 3130 3133 3135 3137 3139 3142 3144 3146 3148 3151 3153 3155 3157 3160 3162 3164 3167 3169 3171 3173 3176 3178 3180 3183 3185 3187 3190 3192 3194 3197 3199 3201 3204 3206 3208 3211 3213 3215 3218 3220 3222 3225 3227 3230 3232 3234 3237 3239 3242 3244 3246 3249 3251 3254 3256 3258 3261 3263 3266 3268 3271 3273 3275 3278 3280 3283 3285 3288 3290 3293 3295 3298 3300 3303 3305 3308 3310 3313 3315 3318 3320 3323 3325 3328 3330 3333 3335 3338 3340 3343 3346 3348 3351 3353 3356 3358 3361 3364 3366 3369 3371 3374 3377 3379 3382 3384 3387 3390 3392 3395 3397 3400 3403 3405 3408 3411 3413 3416 3419 3421 3424 3427 3429 3432 3435 3437 3440 3443 3446 3448 3451 3454 3456 3459 3462 3465 3467 3470 3473 3476 3478 3481 3484 3487 3490 3492 3495 3498 3501 3503 3506 3509 3512 3515 3518 3520 3523 3526 3529 3532 3535 3537 3540 3543 3546 3549 3552 3555 3558 3560 3563 3566 3569 3572 3575 3578 3581 3584 3587 3590 3593 3596 3598 3601 3604 3607 3610 3613 3616 3619 3622 3625 3628 3631 3634 3637 3640 3643 3646 3649 3653 3656 3659 3662 3665 3668 3671 3674 3677 3680 3683 3686 3689 3693 3696 3699 3702 3705 3708 3711 3714 3718 3721 3724 3727 3730 3733 3737 3740 3743 3746 3749 3753 3756 3759 3762 3766 3769 3772 3775 3779 3782 3785 3788 3792 3795 3798 3802 3805 3808 3811 3815 3818 3821 3825 3828 3832 3835 3838 3842 3845 3848 3852 3855 3859 3862 3865 3869 3872 3876 3879 3882 3886 3889 3893 3896 3900 3903 3907 3910 3914 3917 3921 3924 3928 3931 3935 3938 3942 3945 3949 3953 3956 3960 3963 3967 3970 3974 3978 3981 3985 3989 3992 3996 3999 4003 4007 4010 4014 4018 4022 4025 4029 4033 4036 4040 4044 4048 4051 4055 4059 4063 4066 4070 4074 4078 4081 4085 4089 4093 4097 4101 4104 4108 4112 4116 4120 4124 4128 4132 4135 4139 4143 4147 4151 4155 4159 4163 4167 4171 4175 4179 4183 4187 4191 4195 4199 4203 4207 4211 4215 4219 4223 4227 4231 4235 4240 4244 4248 4252 4256 4260 4264 4268 4273 4277 4281 4285 4289 4294 4298 4302 4306 4311 4315 4319 4323 4328 4332 4336 4340 4345 4349 4353 4358 4362 4366 4371 4375 4379 4384 4388 4393 4397 4401 4406 4410 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80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 219 220 221 222 223 224 225 226 227 228 229 230 231 232 234 235 236 237 238 240 241 242 243 244 246 247 248 250 251 252 254 255 256 258 259 261 262 264 265 266 268 270 271 273 274 276 277 279 281 282 284 286 288 289 291 293 295 297 298 300 302 304 306 308 310 312 314 316 318 321 323 325 327 330 332 334 337 339 341 344 346 349 352 354 357 360 362 365 368 371 374 377 380 383 386 389 392 396 399 402 406 409 413 416 420 424 428 432 435 440 444 448 452 456 461 465 470 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184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 221 222 223 224 225 226 228 229 230 231 232 234 235 236 238 239 240 241 243 244 246 247 248 250 251 253 254 256 257 259 260 262 263 265 267 268 270 272 273 275 277 279 281 282 284 286 288 290 292 294 296 298 300 302 304 306 308 311 313 315 317 320 322 325 327 329 332 335 337 340 342 345 348 351 354 357 359 362 366 369 372 375 378 382 385 388 392 395 399 403 407 410 414 418 422 427 431 435 439 444 449 453 458 463 468 473 478 483 489 494 500 506 512 518 524 531 537 544 551 558 565 573 580 588 596 604 613 622 631 640 650 659 670 680 691 702 714 725 738 750 764 777 791 806 821 837 854 871 888 907 926 946 967 989 1012 1037 1062 1088 1116 1146 1177 1209 1244 1281 1319 1361 1405 1451 1501 1555 1613 1675 1742 1814 1893 1979 2074 2177 2292 2419 2562 2722 2903 3111 3350 3629 3959 4355 4839 5444 6222 7259 8711 10889 14518 21778 43556\n", "184\n0 1 2 3 4 5 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1317 1335 1353 1372 1391 1410 1430 1451 1473 1495 1517 1541 1565 1589 1615 1642 1669 1697 1726 1757 1788 1821 1854 1889 1926 1964 2003 2044 2086 2131 2177 2225 2276 2329 2384 2443 2504 2568 2635 2707 2782 2861 2946 3035 3130 3231 3338 3453 3577 3709 3852 4006 4173 4355 4552 4769 5008 5271 5564 5892 6260 6677 7154 7705 8347 9105 10016 11129 12520 14309 16694 20033 25041 33388 50082 100165\n208\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 113 114 115 116 117 119 120 121 123 124 126 127 129 130 132 133 135 137 139 140 142 144 146 148 150 152 154 157 159 161 164 166 169 172 174 177 180 183 187 190 193 197 200 204 208 212 216 221 226 230 235 241 246 252 258 264 271 278 285 293 301 309 319 328 339 349 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1257 1278 1300 1323 1347 1371 1397 1423 1450 1479 1509 1539 1571 1605 1640 1676 1714 1754 1796 1840 1886 1934 1985 2039 2095 2155 2219 2286 2357 2433 2515 2601 2694 2794 2901 3018 3143 3280 3429 3592 3772 3971 4191 4438 4715 5030 5389 5803 6287 6859 7545 8383 9431 10778 12575 15090 18862 25150 37725 75450\n", "44\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 26 28 29 31 33 36 38 42 45 50 56 63 72 84 100 126 168 252 504\n30\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19 20 22 25 28 32 38 45 57 76 114 228\n35\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 21 22 24 26 28 31 35 39 45 52 63 79 105 158 317\n54\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 36 38 41 43 46 49 52 56 61 67 73 82 92 105 123 147 184 246 369 738\n11\n0 1 2 3 4 5 6 7 10 15 31\n43\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 29 31 33 36 39 43 47 52 59 67 78 94 118 157 236 473\n42\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 29 31 33 36 40 44 49 55 63 73 88 110 147 220 441\n", "566\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 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2822 3136 3528 4032 4704 5644 7056 9408 14112 28224\n225\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 115 116 117 118 119 120 121 122 123 125 126 127 128 130 131 132 134 135 137 138 140 141 143 145 146 148 150 151 153 155 157 159 161 163 165 167 170 172 174 177 179 182 185 187 190 193 196 199 202 205 209 212 216 220 223 227 232 236 240 245 250 255 260 265 271 277 283 290 296 303 311 319 327 335 345 354 364 375 386 398 411 425 440 455 472 491 510 531 555 580 607 638 671 709 751 797 851 911 982 1063 1160 1276 1418 1595 1823 2127 2553 3191 4255 6383 12767\n267\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 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54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 114 115 116 117 118 120 121 122 124 125 127 128 130 131 133 134 136 138 139 141 143 145 147 149 151 153 155 157 159 162 164 166 169 172 174 177 180 183 186 189 192 196 199 203 207 210 215 219 223 228 232 237 243 248 254 260 266 272 279 286 294 302 310 319 328 338 349 360 372 385 399 414 430 447 465 486 508 532 559 588 621 657 698 745 798 860 931 1016 1118 1242 1397 1597 1863 2236 2795 3727 5590 11181\n505\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 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130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 166 167 168 169 170 171 173 174 175 177 178 179 180 182 183 185 186 187 189 190 192 193 195 197 198 200 202 203 205 207 209 210 212 214 216 218 220 222 224 226 228 230 233 235 237 240 242 244 247 249 252 255 257 260 263 266 269 272 275 278 281 285 288 292 295 299 303 306 310 314 319 323 327 332 336 341 346 351 356 361 367 373 378 384 391 397 404 411 418 425 433 440 449 457 466 475 484 494 505 515 527 538 551 563 577 591 606 621 638 655 673 692 713 734 757 782 808 836 866 898 932 969 1010 1054 1102 1154 1212 1276 1347 1426 1515 1616 1732 1865 2020 2204 2424 2694 3031 3464 4041 4849 6062 8083 12124 24249\n106\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 64 65 67 69 70 72 74 76 78 80 83 85 88 91 94 97 101 104 109 113 118 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150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 188 189 190 191 192 194 195 196 197 199 200 201 203 204 206 207 208 210 211 213 214 216 217 219 221 222 224 226 227 229 231 232 234 236 238 240 242 244 246 248 250 252 254 256 258 261 263 265 268 270 272 275 277 280 283 285 288 291 294 296 299 302 305 309 312 315 318 322 325 329 332 336 340 344 348 352 356 360 364 369 373 378 383 388 393 398 403 409 414 420 426 432 438 445 452 458 465 473 480 488 496 504 513 522 531 540 550 560 571 582 593 605 618 631 644 658 673 688 704 721 738 757 776 797 818 841 865 890 917 946 977 1009 1044 1081 1121 1164 1211 1262 1316 1376 1442 1514 1594 1682 1781 1893 2019 2163 2329 2524 2753 3028 3365 3786 4327 5048 6057 7572 10096 15144 30289\n735\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 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2904 2915 2925 2935 2945 2956 2966 2977 2987 2998 3009 3020 3031 3042 3053 3064 3075 3087 3098 3110 3121 3133 3145 3157 3169 3181 3193 3205 3217 3230 3242 3255 3268 3280 3293 3306 3319 3333 3346 3359 3373 3387 3400 3414 3428 3442 3457 3471 3485 3500 3515 3530 3545 3560 3575 3590 3606 3621 3637 3653 3669 3685 3701 3718 3734 3751 3768 3785 3802 3820 3837 3855 3873 3891 3909 3927 3946 3965 3983 4003 4022 4041 4061 4081 4101 4121 4141 4162 4183 4204 4225 4246 4268 4290 4312 4334 4357 4380 4403 4426 4450 4473 4498 4522 4546 4571 4596 4622 4647 4673 4700 4726 4753 4780 4808 4836 4864 4892 4921 4950 4979 5009 5039 5070 5101 5132 5164 5196 5228 5261 5295 5328 5363 5397 5432 5468 5504 5540 5577 5614 5652 5691 5730 5769 5809 5850 5891 5933 5975 6018 6062 6106 6151 6197 6243 6290 6338 6386 6435 6485 6536 6587 6639 6693 6747 6801 6857 6914 6971 7030 7090 7150 7212 7275 7338 7403 7469 7537 7605 7675 7746 7819 7892 7967 8044 8122 8202 8283 8366 8450 8537 8625 8714 8806 8900 8996 9093 9193 9295 9400 9507 9616 9728 9842 9959 10079 10202 10328 10457 10590 10726 10865 11008 11155 11305 11460 11619 11783 11951 12125 12303 12487 12676 12871 13072 13279 13494 13715 13943 14180 14424 14677 14939 15211 15493 15785 16089 16404 16732 17074 17429 17800 18187 18591 19014 19456 19919 20405 20915 21452 22016 22611 23239 23903 24606 25352 26144 26988 27887 28849 29879 30986 32178 33465 34859 36375 38028 39839 41831 44033 46479 49213 52289 55775 59759 64356 69719 76057 83663 92959 104579 119519 139439 167326 209158 278878 418317 836634\n2062\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 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643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1080 1081 1082 1083 1084 1085 1086 1087 1088 1090 1091 1092 1093 1094 1095 1096 1097 1099 1100 1101 1102 1103 1104 1105 1107 1108 1109 1110 1111 1112 1114 1115 1116 1117 1118 1119 1121 1122 1123 1124 1125 1126 1128 1129 1130 1131 1132 1134 1135 1136 1137 1139 1140 1141 1142 1143 1145 1146 1147 1148 1150 1151 1152 1153 1155 1156 1157 1158 1160 1161 1162 1163 1165 1166 1167 1169 1170 1171 1172 1174 1175 1176 1178 1179 1180 1182 1183 1184 1186 1187 1188 1190 1191 1192 1194 1195 1196 1198 1199 1200 1202 1203 1204 1206 1207 1208 1210 1211 1213 1214 1215 1217 1218 1220 1221 1222 1224 1225 1227 1228 1229 1231 1232 1234 1235 1237 1238 1239 1241 1242 1244 1245 1247 1248 1250 1251 1253 1254 1256 1257 1259 1260 1262 1263 1265 1266 1268 1269 1271 1272 1274 1275 1277 1278 1280 1281 1283 1284 1286 1287 1289 1291 1292 1294 1295 1297 1299 1300 1302 1303 1305 1306 1308 1310 1311 1313 1315 1316 1318 1319 1321 1323 1324 1326 1328 1329 1331 1333 1334 1336 1338 1339 1341 1343 1344 1346 1348 1350 1351 1353 1355 1356 1358 1360 1362 1363 1365 1367 1369 1370 1372 1374 1376 1378 1379 1381 1383 1385 1387 1388 1390 1392 1394 1396 1398 1399 1401 1403 1405 1407 1409 1410 1412 1414 1416 1418 1420 1422 1424 1426 1428 1429 1431 1433 1435 1437 1439 1441 1443 1445 1447 1449 1451 1453 1455 1457 1459 1461 1463 1465 1467 1469 1471 1473 1475 1477 1479 1481 1483 1485 1487 1490 1492 1494 1496 1498 1500 1502 1504 1506 1509 1511 1513 1515 1517 1519 1522 1524 1526 1528 1530 1532 1535 1537 1539 1541 1544 1546 1548 1550 1553 1555 1557 1559 1562 1564 1566 1569 1571 1573 1576 1578 1580 1583 1585 1587 1590 1592 1595 1597 1599 1602 1604 1607 1609 1611 1614 1616 1619 1621 1624 1626 1629 1631 1634 1636 1639 1641 1644 1646 1649 1651 1654 1657 1659 1662 1664 1667 1670 1672 1675 1678 1680 1683 1686 1688 1691 1694 1696 1699 1702 1704 1707 1710 1713 1715 1718 1721 1724 1727 1729 1732 1735 1738 1741 1744 1746 1749 1752 1755 1758 1761 1764 1767 1770 1773 1776 1779 1782 1785 1788 1791 1794 1797 1800 1803 1806 1809 1812 1815 1818 1821 1824 1827 1831 1834 1837 1840 1843 1847 1850 1853 1856 1859 1863 1866 1869 1873 1876 1879 1882 1886 1889 1893 1896 1899 1903 1906 1910 1913 1916 1920 1923 1927 1930 1934 1937 1941 1944 1948 1952 1955 1959 1962 1966 1970 1973 1977 1981 1984 1988 1992 1996 1999 2003 2007 2011 2014 2018 2022 2026 2030 2034 2038 2042 2045 2049 2053 2057 2061 2065 2069 2073 2077 2081 2086 2090 2094 2098 2102 2106 2110 2115 2119 2123 2127 2132 2136 2140 2144 2149 2153 2157 2162 2166 2171 2175 2180 2184 2189 2193 2198 2202 2207 2211 2216 2221 2225 2230 2235 2239 2244 2249 2253 2258 2263 2268 2273 2278 2283 2287 2292 2297 2302 2307 2312 2317 2322 2327 2333 2338 2343 2348 2353 2358 2364 2369 2374 2380 2385 2390 2396 2401 2406 2412 2417 2423 2428 2434 2440 2445 2451 2457 2462 2468 2474 2479 2485 2491 2497 2503 2509 2515 2521 2527 2533 2539 2545 2551 2557 2563 2569 2575 2582 2588 2594 2601 2607 2613 2620 2626 2633 2639 2646 2653 2659 2666 2673 2679 2686 2693 2700 2707 2713 2720 2727 2734 2741 2749 2756 2763 2770 2777 2785 2792 2799 2807 2814 2821 2829 2837 2844 2852 2859 2867 2875 2883 2890 2898 2906 2914 2922 2930 2938 2947 2955 2963 2971 2980 2988 2996 3005 3013 3022 3031 3039 3048 3057 3065 3074 3083 3092 3101 3110 3119 3129 3138 3147 3156 3166 3175 3185 3194 3204 3214 3223 3233 3243 3253 3263 3273 3283 3293 3303 3314 3324 3335 3345 3356 3366 3377 3388 3398 3409 3420 3431 3442 3454 3465 3476 3488 3499 3511 3522 3534 3546 3558 3570 3582 3594 3606 3618 3631 3643 3655 3668 3681 3694 3706 3719 3732 3746 3759 3772 3786 3799 3813 3826 3840 3854 3868 3882 3897 3911 3925 3940 3954 3969 3984 3999 4014 4029 4045 4060 4076 4091 4107 4123 4139 4155 4172 4188 4205 4221 4238 4255 4272 4289 4307 4324 4342 4360 4378 4396 4414 4432 4451 4470 4488 4507 4527 4546 4566 4585 4605 4625 4645 4666 4686 4707 4728 4749 4770 4792 4813 4835 4857 4880 4902 4925 4948 4971 4994 5018 5042 5066 5090 5114 5139 5164 5189 5215 5240 5266 5292 5319 5346 5373 5400 5427 5455 5483 5512 5541 5570 5599 5629 5658 5689 5719 5750 5781 5813 5845 5877 5910 5943 5976 6010 6044 6079 6114 6149 6185 6221 6258 6295 6332 6370 6408 6447 6487 6526 6567 6607 6649 6691 6733 6776 6819 6863 6908 6953 6999 7045 7092 7140 7188 7237 7286 7337 7388 7439 7492 7545 7599 7653 7709 7765 7822 7880 7939 7999 8059 8121 8183 8247 8311 8377 8443 8511 8579 8649 8720 8792 8865 8940 9015 9093 9171 9251 9332 9414 9498 9584 9671 9760 9850 9942 10036 10132 10229 10328 10430 10533 10638 10746 10855 10967 11082 11198 11317 11439 11563 11691 11820 11953 12089 12228 12370 12516 12665 12817 12974 13134 13298 13466 13639 13816 13998 14185 14376 14573 14776 14984 15198 15418 15645 15878 16119 16367 16623 16887 17159 17440 17731 18031 18342 18664 18997 19343 19701 20073 20459 20860 21277 21711 22164 22635 23127 23641 24179 24741 25330 25948 26597 27279 27996 28753 29552 30396 31290 32238 33246 34318 35462 36685 37995 39403 40918 42555 44328 46255 48358 50661 53194 55993 59104 62581 66492 70925 75991 81837 88657 96716 106388 118209 132985 151983 177314 212776 265971 354628 531942 1063884\n", "3\n0 1 2\n4\n0 1 2 4\n5\n0 1 2 3 6\n5\n0 1 2 3 7\n5\n0 1 2 3 7\n6\n0 1 2 3 4 9\n6\n0 1 2 3 5 10\n11\n0 1 2 3 4 5 6 7 10 15 30\n7\n0 1 2 3 4 6 13\n6\n0 1 2 3 5 10\n", "2982\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 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3803 3806 3808 3810 3813 3815 3817 3820 3822 3825 3827 3829 3832 3834 3836 3839 3841 3844 3846 3848 3851 3853 3856 3858 3860 3863 3865 3868 3870 3873 3875 3877 3880 3882 3885 3887 3890 3892 3894 3897 3899 3902 3904 3907 3909 3912 3914 3917 3919 3922 3924 3927 3929 3932 3934 3937 3939 3942 3944 3947 3949 3952 3954 3957 3959 3962 3965 3967 3970 3972 3975 3977 3980 3982 3985 3988 3990 3993 3995 3998 4001 4003 4006 4008 4011 4014 4016 4019 4021 4024 4027 4029 4032 4035 4037 4040 4042 4045 4048 4050 4053 4056 4058 4061 4064 4066 4069 4072 4074 4077 4080 4083 4085 4088 4091 4093 4096 4099 4102 4104 4107 4110 4112 4115 4118 4121 4123 4126 4129 4132 4135 4137 4140 4143 4146 4148 4151 4154 4157 4160 4162 4165 4168 4171 4174 4176 4179 4182 4185 4188 4191 4194 4196 4199 4202 4205 4208 4211 4214 4216 4219 4222 4225 4228 4231 4234 4237 4240 4243 4245 4248 4251 4254 4257 4260 4263 4266 4269 4272 4275 4278 4281 4284 4287 4290 4293 4296 4299 4302 4305 4308 4311 4314 4317 4320 4323 4326 4329 4332 4335 4338 4341 4344 4347 4350 4353 4356 4359 4362 4366 4369 4372 4375 4378 4381 4384 4387 4390 4394 4397 4400 4403 4406 4409 4412 4416 4419 4422 4425 4428 4431 4435 4438 4441 4444 4447 4451 4454 4457 4460 4463 4467 4470 4473 4476 4480 4483 4486 4489 4493 4496 4499 4502 4506 4509 4512 4516 4519 4522 4526 4529 4532 4536 4539 4542 4546 4549 4552 4556 4559 4562 4566 4569 4573 4576 4579 4583 4586 4590 4593 4596 4600 4603 4607 4610 4614 4617 4620 4624 4627 4631 4634 4638 4641 4645 4648 4652 4655 4659 4662 4666 4669 4673 4676 4680 4684 4687 4691 4694 4698 4701 4705 4709 4712 4716 4719 4723 4727 4730 4734 4737 4741 4745 4748 4752 4756 4759 4763 4767 4770 4774 4778 4782 4785 4789 4793 4796 4800 4804 4808 4811 4815 4819 4823 4826 4830 4834 4838 4842 4845 4849 4853 4857 4861 4864 4868 4872 4876 4880 4884 4888 4891 4895 4899 4903 4907 4911 4915 4919 4923 4927 4930 4934 4938 4942 4946 4950 4954 4958 4962 4966 4970 4974 4978 4982 4986 4990 4994 4998 5002 5006 5011 5015 5019 5023 5027 5031 5035 5039 5043 5047 5052 5056 5060 5064 5068 5072 5076 5081 5085 5089 5093 5097 5102 5106 5110 5114 5119 5123 5127 5131 5136 5140 5144 5148 5153 5157 5161 5166 5170 5174 5179 5183 5187 5192 5196 5200 5205 5209 5214 5218 5222 5227 5231 5236 5240 5245 5249 5254 5258 5263 5267 5272 5276 5281 5285 5290 5294 5299 5303 5308 5312 5317 5322 5326 5331 5335 5340 5345 5349 5354 5359 5363 5368 5372 5377 5382 5387 5391 5396 5401 5405 5410 5415 5420 5424 5429 5434 5439 5444 5448 5453 5458 5463 5468 5473 5477 5482 5487 5492 5497 5502 5507 5512 5517 5521 5526 5531 5536 5541 5546 5551 5556 5561 5566 5571 5576 5581 5586 5592 5597 5602 5607 5612 5617 5622 5627 5632 5637 5643 5648 5653 5658 5663 5669 5674 5679 5684 5689 5695 5700 5705 5710 5716 5721 5726 5732 5737 5742 5748 5753 5758 5764 5769 5775 5780 5785 5791 5796 5802 5807 5813 5818 5824 5829 5835 5840 5846 5851 5857 5862 5868 5873 5879 5885 5890 5896 5902 5907 5913 5919 5924 5930 5936 5941 5947 5953 5959 5964 5970 5976 5982 5987 5993 5999 6005 6011 6017 6022 6028 6034 6040 6046 6052 6058 6064 6070 6076 6082 6088 6094 6100 6106 6112 6118 6124 6130 6136 6142 6148 6155 6161 6167 6173 6179 6185 6192 6198 6204 6210 6217 6223 6229 6235 6242 6248 6254 6261 6267 6273 6280 6286 6293 6299 6305 6312 6318 6325 6331 6338 6344 6351 6357 6364 6371 6377 6384 6390 6397 6404 6410 6417 6424 6430 6437 6444 6450 6457 6464 6471 6478 6484 6491 6498 6505 6512 6519 6525 6532 6539 6546 6553 6560 6567 6574 6581 6588 6595 6602 6609 6616 6624 6631 6638 6645 6652 6659 6666 6674 6681 6688 6695 6703 6710 6717 6725 6732 6739 6747 6754 6761 6769 6776 6784 6791 6799 6806 6814 6821 6829 6836 6844 6851 6859 6867 6874 6882 6890 6897 6905 6913 6921 6928 6936 6944 6952 6960 6967 6975 6983 6991 6999 7007 7015 7023 7031 7039 7047 7055 7063 7071 7079 7087 7096 7104 7112 7120 7128 7137 7145 7153 7161 7170 7178 7186 7195 7203 7212 7220 7229 7237 7245 7254 7263 7271 7280 7288 7297 7306 7314 7323 7332 7340 7349 7358 7367 7375 7384 7393 7402 7411 7420 7429 7438 7447 7456 7465 7474 7483 7492 7501 7510 7519 7528 7537 7547 7556 7565 7574 7584 7593 7602 7612 7621 7631 7640 7650 7659 7669 7678 7688 7697 7707 7716 7726 7736 7746 7755 7765 7775 7785 7794 7804 7814 7824 7834 7844 7854 7864 7874 7884 7894 7904 7914 7924 7935 7945 7955 7965 7976 7986 7996 8007 8017 8028 8038 8048 8059 8070 8080 8091 8101 8112 8123 8133 8144 8155 8166 8176 8187 8198 8209 8220 8231 8242 8253 8264 8275 8286 8297 8308 8320 8331 8342 8353 8365 8376 8388 8399 8410 8422 8433 8445 8456 8468 8480 8491 8503 8515 8527 8538 8550 8562 8574 8586 8598 8610 8622 8634 8646 8658 8670 8682 8695 8707 8719 8732 8744 8756 8769 8781 8794 8806 8819 8832 8844 8857 8870 8882 8895 8908 8921 8934 8947 8960 8973 8986 8999 9012 9025 9038 9052 9065 9078 9092 9105 9119 9132 9146 9159 9173 9186 9200 9214 9228 9241 9255 9269 9283 9297 9311 9325 9339 9353 9368 9382 9396 9410 9425 9439 9454 9468 9483 9497 9512 9527 9541 9556 9571 9586 9601 9616 9631 9646 9661 9676 9691 9706 9722 9737 9752 9768 9783 9799 9814 9830 9846 9861 9877 9893 9909 9925 9941 9957 9973 9989 10005 10022 10038 10054 10071 10087 10104 10120 10137 10153 10170 10187 10204 10221 10238 10255 10272 10289 10306 10323 10340 10358 10375 10393 10410 10428 10445 10463 10481 10499 10517 10535 10553 10571 10589 10607 10625 10644 10662 10680 10699 10718 10736 10755 10774 10792 10811 10830 10849 10868 10888 10907 10926 10946 10965 10985 11004 11024 11043 11063 11083 11103 11123 11143 11163 11184 11204 11224 11245 11265 11286 11306 11327 11348 11369 11390 11411 11432 11453 11475 11496 11517 11539 11560 11582 11604 11626 11648 11670 11692 11714 11736 11759 11781 11804 11826 11849 11872 11895 11918 11941 11964 11987 12010 12034 12057 12081 12105 12128 12152 12176 12200 12224 12249 12273 12297 12322 12347 12371 12396 12421 12446 12471 12497 12522 12547 12573 12599 12624 12650 12676 12702 12729 12755 12781 12808 12834 12861 12888 12915 12942 12969 12996 13024 13051 13079 13107 13135 13163 13191 13219 13248 13276 13305 13333 13362 13391 13420 13450 13479 13508 13538 13568 13598 13628 13658 13688 13719 13749 13780 13811 13842 13873 13904 13935 13967 13999 14030 14062 14094 14127 14159 14192 14224 14257 14290 14323 14357 14390 14424 14458 14491 14526 14560 14594 14629 14664 14698 14734 14769 14804 14840 14876 14912 14948 14984 15020 15057 15094 15131 15168 15205 15243 15281 15319 15357 15395 15433 15472 15511 15550 15589 15629 15668 15708 15748 15789 15829 15870 15911 15952 15993 16035 16077 16118 16161 16203 16246 16289 16332 16375 16419 16462 16506 16551 16595 16640 16685 16730 16776 16821 16867 16913 16960 17007 17054 17101 17148 17196 17244 17292 17341 17390 17439 17488 17538 17588 17638 17689 17740 17791 17842 17894 17946 17998 18051 18104 18157 18211 18265 18319 18373 18428 18483 18539 18595 18651 18707 18764 18821 18879 18937 18995 19054 19113 19172 19232 19292 19352 19413 19474 19536 19598 19661 19723 19787 19850 19914 19979 20044 20109 20175 20241 20307 20374 20442 20510 20578 20647 20716 20786 20856 20927 20998 21070 21142 21215 21288 21361 21436 21510 21585 21661 21737 21814 21892 21970 22048 22127 22207 22287 22368 22449 22531 22613 22696 22780 22865 22950 23035 23121 23208 23296 23384 23473 23563 23653 23744 23836 23928 24021 24115 24210 24305 24401 24498 24595 24694 24793 24893 24994 25095 25198 25301 25405 25510 25616 25723 25830 25939 26048 26159 26270 26382 26496 26610 26725 26841 26958 27077 27196 27316 27438 27560 27684 27808 27934 28061 28189 28319 28449 28581 28714 28848 28983 29120 29258 29397 29538 29680 29824 29968 30114 30262 30411 30562 30714 30867 31022 31179 31337 31497 31659 31822 31987 32154 32322 32492 32664 32838 33013 33191 33370 33552 33735 33920 34108 34297 34489 34682 34878 35077 35277 35480 35685 35892 36102 36315 36530 36747 36967 37190 37415 37643 37874 38108 38345 38584 38827 39073 39322 39574 39829 40088 40350 40615 40884 41157 41433 41713 41997 42284 42576 42872 43171 43475 43784 44096 44414 44736 45062 45393 45730 46071 46417 46769 47126 47489 47857 48231 48610 48996 49388 49786 50191 50603 51021 51446 51878 52318 52765 53220 53683 54154 54633 55121 55617 56123 56638 57162 57696 58241 58795 59361 59937 60525 61124 61735 62359 62995 63645 64308 64984 65676 66382 67104 67841 68595 69365 70154 70960 71785 72630 73494 74380 75287 76216 77169 78146 79148 80176 81231 82314 83426 84569 85744 86951 88193 89472 90787 92142 93538 94978 96462 97993 99573 101206 102892 104636 106440 108308 110242 112246 114325 116482 118722 121050 123471 125991 128616 131352 134208 137190 140308 143571 146989 150574 154339 158296 162462 166853 171488 176387 181575 187077 192924 199147 205785 212881 220484 228650 237445 246942 257232 268416 280616 293979 308678 324924 342976 363151 385848 411571 440969 474890 514464 561233 617357 685952 771696 881938 1028928 1234714 1543392 2057857 3086785 6173571\n", "19\n0 1 2 3 4 5 6 7 8 9 10 11 13 15 18 23 30 46 92\n12\n0 1 2 3 4 5 6 7 9 12 19 38\n10\n0 1 2 3 4 5 7 9 14 29\n11\n0 1 2 3 4 5 6 7 10 15 30\n19\n0 1 2 3 4 5 6 7 8 9 11 12 14 16 19 24 33 49 99\n20\n0 1 2 3 4 5 6 7 8 9 10 11 12 14 16 20 25 33 50 100\n15\n0 1 2 3 4 5 6 7 8 9 11 14 19 29 58\n21\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 18 22 27 36 55 110\n29\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 22 24 28 32 37 44 56 74 112 224\n30\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 22 25 28 32 37 45 56 75 112 225\n", "37\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 26 28 31 34 38 42 48 57 68 85 114 171 342\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 29 31 34 37 41 46 51 59 69 82 103 138 207 414\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 36 37 39 41 43 45 48 51 54 57 62 66 72 79 86 96 108 124 144 173 217 289 434 869\n35\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 31 34 39 44 52 62 78 104 157 314\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 46 49 52 56 60 64 70 76 84 93 105 120 140 168 210 280 421 842\n59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 41 43 45 48 51 54 58 62 67 72 79 87 96 108 124 145 174 217 290 435 871\n25\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 18 20 23 27 33 41 55 83 167\n62\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 40 42 44 46 48 51 54 57 61 65 69 75 81 88 97 108 122 139 163 195 244 326 489 978\n41\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 27 28 31 33 36 39 43 48 54 62 72 86 108 144 217 434\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 113 135 169 226 339 678\n", "32\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 27 30 33 38 45 54 67 90 135 271\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 28 33 39 49 66 99 198\n18\n0 1 2 3 4 5 6 7 8 9 11 12 14 17 22 29 44 89\n11\n0 1 2 3 4 5 6 8 11 16 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140 141 142 143 145 146 147 148 150 151 152 154 155 157 158 159 161 163 164 166 167 169 171 172 174 176 178 180 182 184 186 188 190 192 194 196 199 201 203 206 208 211 213 216 219 222 225 228 231 234 237 241 244 248 251 255 259 263 267 271 276 280 285 290 295 300 305 311 316 322 329 335 342 349 356 364 372 380 388 398 407 417 427 438 450 462 475 489 503 518 534 552 570 590 611 633 658 684 713 744 777 815 855 900 950 1006 1069 1141 1222 1316 1426 1555 1711 1901 2139 2445 2852 3423 4278 5705 8557 17115\n247\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 134 135 136 137 139 140 141 142 144 145 147 148 149 151 152 154 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174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 244 245 246 247 248 249 250 251 252 253 255 256 257 258 259 261 262 263 264 266 267 268 269 271 272 273 275 276 277 279 280 282 283 284 286 287 289 290 292 293 295 296 298 300 301 303 305 306 308 310 311 313 315 317 318 320 322 324 326 328 330 332 334 336 338 340 342 344 346 348 350 353 355 357 359 362 364 366 369 371 374 376 379 381 384 387 389 392 395 398 400 403 406 409 412 415 418 422 425 428 431 435 438 441 445 449 452 456 460 463 467 471 475 479 483 488 492 496 501 505 510 514 519 524 529 534 539 544 550 555 561 566 572 578 584 590 597 603 610 616 623 630 637 645 652 660 668 676 684 692 701 710 719 728 738 748 758 768 779 790 801 813 825 837 850 863 877 890 905 920 935 951 967 984 1002 1020 1039 1059 1079 1100 1122 1145 1169 1194 1220 1247 1275 1305 1336 1368 1403 1439 1477 1516 1559 1603 1650 1700 1754 1810 1870 1935 2004 2078 2158 2245 2338 2440 2551 2672 2806 2954 3118 3301 3508 3741 4009 4317 4677 5102 5612 6236 7016 8018 9354 11225 14032 18709 28064 56128\n396\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 212 213 214 215 216 217 219 220 221 222 224 225 226 228 229 230 232 233 234 236 237 239 240 242 243 245 246 248 249 251 253 254 256 258 259 261 263 265 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 297 299 301 304 306 308 311 313 316 318 321 324 326 329 332 335 338 341 344 347 350 353 356 359 363 366 370 373 377 380 384 388 392 396 400 404 408 412 417 421 426 431 435 440 445 450 456 461 466 472 478 484 490 496 502 509 516 523 530 537 544 552 560 568 576 585 594 603 612 622 632 643 653 664 676 688 700 713 726 740 754 769 784 800 817 834 852 871 891 912 933 956 980 1005 1032 1060 1089 1120 1153 1188 1225 1265 1307 1352 1400 1452 1508 1569 1634 1705 1783 1867 1961 2064 2179 2307 2451 2615 2801 3017 3268 3566 3922 4358 4903 5603 6537 7845 9806 13075 19613 39226\n162\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 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192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 269 270 271 272 273 274 275 277 278 279 280 282 283 284 285 287 288 289 291 292 293 295 296 297 299 300 301 303 304 306 307 309 310 312 313 315 316 318 320 321 323 324 326 328 330 331 333 335 336 338 340 342 344 346 347 349 351 353 355 357 359 361 363 365 367 370 372 374 376 378 381 383 385 388 390 392 395 397 400 402 405 407 410 413 415 418 421 423 426 429 432 435 438 441 444 447 450 454 457 460 463 467 470 474 477 481 485 488 492 496 500 504 508 512 516 520 524 529 533 538 542 547 551 556 561 566 571 576 582 587 592 598 603 609 615 621 627 633 640 646 653 660 666 673 681 688 695 703 711 719 727 735 744 753 762 771 780 790 800 810 820 831 842 853 865 877 889 901 914 927 941 955 970 984 1000 1016 1032 1049 1067 1085 1103 1123 1143 1164 1185 1207 1231 1255 1280 1306 1333 1362 1391 1422 1455 1488 1524 1561 1600 1641 1684 1730 1778 1829 1883 1940 2000 2065 2134 2207 2286 2371 2462 2560 2667 2783 2910 3048 3201 3369 3556 3766 4001 4268 4573 4924 5335 5820 6402 7113 8002 9146 10670 12804 16005 21340 32011 64022\n", "5294\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 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693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 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15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 49 51 53 55 57 59 62 64 67 71 74 78 83 87 93 99 106 114 124 135 149 166 186 213 249 298 373 498 747 1494\n", "48\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 34 36 39 41 45 48 53 58 65 73 83 97 117 146 195 293 587\n426\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 225 226 227 228 229 230 231 233 234 235 236 238 239 240 241 243 244 245 247 248 249 251 252 253 255 256 258 259 261 262 264 265 267 269 270 272 273 275 277 278 280 282 284 285 287 289 291 293 295 297 299 301 303 305 307 309 311 313 315 317 320 322 324 327 329 331 334 336 339 341 344 347 349 352 355 357 360 363 366 369 372 375 378 382 385 388 391 395 398 402 405 409 413 417 420 424 428 433 437 441 445 450 454 459 463 468 473 478 483 488 494 499 505 510 516 522 528 534 541 547 554 561 568 575 582 590 598 606 614 622 631 640 649 658 668 678 688 699 710 721 733 745 757 770 783 797 811 826 841 857 874 891 909 927 947 967 988 1010 1033 1057 1082 1108 1136 1165 1196 1228 1262 1299 1337 1377 1420 1466 1515 1567 1623 1683 1748 1818 1894 1976 2066 2165 2273 2392 2525 2674 2841 3031 3247 3497 3788 4133 4546 5051 5683 6495 7577 9093 11366 15155 22732 45465\n172\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 96 97 98 99 101 102 104 105 107 108 110 112 113 115 117 119 121 123 125 127 129 132 134 137 139 142 145 147 151 154 157 160 164 168 172 176 180 184 189 194 199 205 211 217 224 231 238 246 255 264 274 284 295 308 321 336 352 369 389 411 435 462 493 528 569 616 672 739 822 924 1057 1233 1479 1849 2466 3699 7399\n208\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 112 113 114 115 116 118 119 120 122 123 125 126 127 129 131 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12931 25862\n", "59\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 41 44 46 48 51 55 58 62 67 73 80 88 97 110 125 146 176 220 293 440 880\n13\n0 1 2 3 4 5 6 7 9 11 15 22 45\n", "61\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 38 39 41 43 45 47 50 53 56 59 63 68 73 79 86 95 106 119 136 159 190 238 318 477 954\n28\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 23 26 29 34 41 52 69 104 208\n2\n0 1\n58\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 37 39 41 43 45 47 50 53 57 61 66 71 78 86 95 107 123 143 172 215 287 430 861\n45\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 29 30 32 35 37 40 43 47 52 58 65 75 87 105 131 175 262 525\n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 33 35 37 39 41 44 47 51 55 60 67 74 83 95 111 134 167 223 335 670\n12\n0 1 2 3 4 5 6 7 9 12 19 38\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 27 29 31 33 36 40 45 50 58 67 81 101 135 203 406\n39\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 27 29 32 34 38 42 48 54 64 76 96 128 192 384\n72\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 41 42 44 45 47 48 50 52 55 57 60 62 66 69 73 77 82 88 94 101 110 120 132 146 165 188 220 264 330 440 660 1320\n", "50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 32 33 35 37 40 42 45 49 53 58 64 71 80 91 107 128 160 214 321 642\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 33 35 37 39 42 45 48 52 56 61 67 75 84 96 112 135 169 225 338 676\n40\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 26 27 29 32 34 38 41 46 52 59 69 83 104 139 209 419\n52\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 32 34 36 38 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1905 1906 1907 1908 1909 1910 1911 1912 1914 1915 1916 1917 1918 1919 1920 1921 1922 1924 1925 1926 1927 1928 1929 1930 1931 1933 1934 1935 1936 1937 1938 1939 1940 1942 1943 1944 1945 1946 1947 1948 1950 1951 1952 1953 1954 1955 1957 1958 1959 1960 1961 1962 1963 1965 1966 1967 1968 1969 1971 1972 1973 1974 1975 1976 1978 1979 1980 1981 1982 1983 1985 1986 1987 1988 1989 1991 1992 1993 1994 1995 1997 1998 1999 2000 2001 2003 2004 2005 2006 2008 2009 2010 2011 2012 2014 2015 2016 2017 2019 2020 2021 2022 2024 2025 2026 2027 2028 2030 2031 2032 2033 2035 2036 2037 2038 2040 2041 2042 2044 2045 2046 2047 2049 2050 2051 2052 2054 2055 2056 2057 2059 2060 2061 2063 2064 2065 2066 2068 2069 2070 2072 2073 2074 2076 2077 2078 2079 2081 2082 2083 2085 2086 2087 2089 2090 2091 2093 2094 2095 2097 2098 2099 2101 2102 2103 2105 2106 2107 2109 2110 2111 2113 2114 2115 2117 2118 2119 2121 2122 2123 2125 2126 2128 2129 2130 2132 2133 2134 2136 2137 2139 2140 2141 2143 2144 2146 2147 2148 2150 2151 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22649 22690 22730 22771 22812 22853 22894 22935 22977 23018 23060 23102 23144 23186 23229 23271 23314 23357 23400 23443 23486 23530 23574 23617 23661 23706 23750 23794 23839 23884 23929 23974 24019 24065 24110 24156 24202 24248 24295 24341 24388 24435 24482 24529 24577 24624 24672 24720 24768 24817 24865 24914 24963 25012 25061 25111 25161 25211 25261 25311 25362 25412 25463 25514 25566 25617 25669 25721 25773 25826 25878 25931 25984 26037 26091 26144 26198 26252 26307 26361 26416 26471 26526 26582 26638 26694 26750 26806 26863 26920 26977 27034 27092 27150 27208 27267 27325 27384 27443 27503 27562 27622 27682 27743 27804 27864 27926 27987 28049 28111 28173 28236 28299 28362 28426 28489 28553 28618 28682 28747 28812 28878 28944 29010 29076 29143 29210 29277 29345 29413 29481 29549 29618 29687 29757 29827 29897 29967 30038 30110 30181 30253 30325 30398 30471 30544 30617 30691 30766 30840 30915 30991 31067 31143 31219 31296 31373 31451 31529 31608 31686 31766 31845 31925 32006 32086 32168 32249 32331 32414 32497 32580 32664 32748 32833 32918 33003 33089 33176 33262 33350 33437 33526 33614 33704 33793 33883 33974 34065 34157 34249 34341 34434 34528 34622 34717 34812 34907 35003 35100 35197 35295 35393 35492 35592 35692 35792 35893 35995 36097 36200 36304 36408 36512 36617 36723 36830 36937 37044 37153 37262 37371 37482 37592 37704 37816 37929 38043 38157 38272 38388 38504 38621 38739 38857 38976 39096 39217 39338 39460 39583 39707 39832 39957 40083 40210 40337 40466 40595 40725 40856 40988 41121 41254 41389 41524 41660 41797 41935 42074 42214 42354 42496 42639 42782 42927 43072 43219 43366 43515 43664 43815 43966 44119 44273 44428 44583 44740 44899 45058 45218 45380 45542 45706 45871 46037 46205 46373 46543 46714 46887 47060 47235 47412 47589 47768 47948 48130 48313 48497 48683 48870 49059 49249 49441 49634 49829 50025 50223 50422 50623 50825 51029 51235 51443 51652 51862 52075 52289 52505 52723 52943 53164 53388 53613 53840 54069 54300 54534 54769 55006 55245 55486 55729 55975 56223 56473 56725 56979 57236 57495 57756 58020 58286 58554 58826 59099 59375 59654 59935 60220 60506 60796 61088 61383 61681 61982 62286 62593 62903 63216 63532 63851 64173 64499 64828 65161 65497 65836 66179 66525 66875 67229 67587 67948 68314 68683 69056 69434 69815 70201 70591 70985 71384 71787 72195 72608 73025 73447 73874 74306 74743 75185 75633 76086 76544 77008 77478 77953 78434 78921 79415 79914 80420 80932 81451 81976 82509 83048 83594 84148 84709 85278 85854 86438 87030 87630 88239 88856 89481 90116 90760 91413 92075 92747 93429 94121 94824 95537 96260 96995 97741 98499 99268 100050 100844 101651 102471 103304 104151 105011 105886 106776 107681 108601 109538 110490 111459 112446 113450 114472 115513 116572 117652 118751 119871 121013 122177 123363 124572 125806 127064 128347 129657 130994 132358 133751 135174 136628 138113 139631 141182 142768 144391 146050 147749 149487 151267 153089 154956 156869 158830 160840 162902 165018 167189 169419 171708 174060 176478 178963 181520 184151 186859 189648 192521 195483 198537 201689 204942 208302 211773 215363 219076 222919 226900 231026 235304 239743 244354 249145 254128 259314 264717 270349 276226 282365 288782 295498 302534 309912 317660 325805 334379 343417 352956 363040 373718 385043 397075 409884 423547 438152 453801 470608 488708 508257 529434 552453 577565 605068 635321 668759 705912 747437 794151 847095 907602 977417 1058869 1155130 1270643 1411825 1588303 1815204 2117738 2541286 3176607 4235476 6353215 12706430\n", "33\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 288\n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289\n50\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 32 34 36 38 40 43 46 49 54 59 64 72 81 92 108 129 162 216 324 649\n51\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 32 34 36 38 40 43 46 50 54 59 65 72 81 92 108 130 162 216 325 650\n17\n0 1 2 3 4 5 6 7 8 10 11 13 16 20 26 40 80\n19\n0 1 2 3 4 5 6 7 8 9 10 11 12 15 18 22 30 45 90\n18\n0 1 2 3 4 5 6 7 8 9 10 12 14 17 21 28 42 85\n34\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 32 36 41 48 57 72 96 144 289\n13\n0 1 2 3 4 5 6 7 9 11 15 23 46\n21\n0 1 2 3 4 5 6 7 8 9 10 11 13 14 16 19 23 29 39 59 118\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: On the well-known testing system MathForces, a draw of n rating units is arranged. The rating will be distributed according to the following algorithm: if k participants take part in this event, then the n rating is evenly distributed between them and rounded to the nearest lower integer, At the end of the drawing, an unused rating may remain — it is not given to any of the participants. For example, if n = 5 and k = 3, then each participant will recieve an 1 rating unit, and also 2 rating units will remain unused. If n = 5, and k = 6, then none of the participants will increase their rating. Vasya participates in this rating draw but does not have information on the total number of participants in this event. Therefore, he wants to know what different values of the rating increment are possible to get as a result of this draw and asks you for help. For example, if n=5, then the answer is equal to the sequence 0, 1, 2, 5. Each of the sequence values (and only them) can be obtained as ⌊ n/k ⌋ for some positive integer k (where ⌊ x ⌋ is the value of x rounded down): 0 = ⌊ 5/7 ⌋, 1 = ⌊ 5/5 ⌋, 2 = ⌊ 5/2 ⌋, 5 = ⌊ 5/1 ⌋. Write a program that, for a given n, finds a sequence of all possible rating increments. Input The first line contains integer number t (1 ≤ t ≤ 10) — the number of test cases in the input. Then t test cases follow. Each line contains an integer n (1 ≤ n ≤ 10^9) — the total number of the rating units being drawn. Output Output the answers for each of t test cases. Each answer should be contained in two lines. In the first line print a single integer m — the number of different rating increment values that Vasya can get. In the following line print m integers in ascending order — the values of possible rating increments. Example Input 4 5 11 1 3 Output 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3 ### Input: 4 5 11 1 3 ### Output: 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3 ### Input: 3 990 94 848 ### Output: 62 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 36 38 39 41 43 45 47 49 52 55 58 61 66 70 76 82 90 99 110 123 141 165 198 247 330 495 990 19 0 1 2 3 4 5 6 7 8 9 10 11 13 15 18 23 31 47 94 58 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 38 40 42 44 47 49 53 56 60 65 70 77 84 94 106 121 141 169 212 282 424 848 ### Code: for _ in range(int(input())): n=int(input()) ar1=[] ar2=[0] count=1 for k in range(1,int(n**(1/2))+1): p=n//k if(p!=k and n%k<=p): count+=2 ar1.append(p) ar2.append(k) elif(p==k and n%k<=p): count+=1 ar1.append(p) print(count) print(*ar2+ar1[::-1])
1304_A. Two Rabbits_34870
Being tired of participating in too many Codeforces rounds, Gildong decided to take some rest in a park. He sat down on a bench, and soon he found two rabbits hopping around. One of the rabbits was taller than the other. He noticed that the two rabbits were hopping towards each other. The positions of the two rabbits can be represented as integer coordinates on a horizontal line. The taller rabbit is currently on position x, and the shorter rabbit is currently on position y (x < y). Every second, each rabbit hops to another position. The taller rabbit hops to the positive direction by a, and the shorter rabbit hops to the negative direction by b. <image> For example, let's say x=0, y=10, a=2, and b=3. At the 1-st second, each rabbit will be at position 2 and 7. At the 2-nd second, both rabbits will be at position 4. Gildong is now wondering: Will the two rabbits be at the same position at the same moment? If so, how long will it take? Let's find a moment in time (in seconds) after which the rabbits will be at the same point. Input Each test contains one or more test cases. The first line contains the number of test cases t (1 ≤ t ≤ 1000). Each test case contains exactly one line. The line consists of four integers x, y, a, b (0 ≤ x < y ≤ 10^9, 1 ≤ a,b ≤ 10^9) — the current position of the taller rabbit, the current position of the shorter rabbit, the hopping distance of the taller rabbit, and the hopping distance of the shorter rabbit, respectively. Output For each test case, print the single integer: number of seconds the two rabbits will take to be at the same position. If the two rabbits will never be at the same position simultaneously, print -1. Example Input 5 0 10 2 3 0 10 3 3 900000000 1000000000 1 9999999 1 2 1 1 1 3 1 1 Output 2 -1 10 -1 1 Note The first case is explained in the description. In the second case, each rabbit will be at position 3 and 7 respectively at the 1-st second. But in the 2-nd second they will be at 6 and 4 respectively, and we can see that they will never be at the same position since the distance between the two rabbits will only increase afterward.
def main(): test = int(input().strip()) while test>0 : x,y,a,b =map( int,input().strip().split()) z = (y-x)/(a+b) h=(y-x)%(a+b) if h==0: print(int(z)) else: print(-1) test-=1 if __name__ == "__main__": main()
{ "input": [ "5\n0 10 2 3\n0 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n0 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 -1 3\n1 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 -2 3\n1 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n1 10 -2 3\n1 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 2\n1 3 1 1\n", "5\n0 10 -2 3\n1 10 3 3\n463681791 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 2\n1 3 0 1\n", "5\n0 10 0 3\n1 10 1 3\n900000000 1000000000 1 9999999\n0 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 3 3\n609926378 1000000000 1 9999999\n1 2 1 2\n1 3 0 1\n", "5\n0 3 0 3\n0 11 4 3\n900000000 1000000000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n0 3 0 3\n0 11 4 3\n900000000 1000010000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n-1 10 0 3\n1 10 1 2\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 1\n", "5\n0 3 0 3\n0 11 4 3\n900000000 1000010000 1 9999999\n1 0 1 1\n1 3 1 2\n", "5\n-1 10 0 3\n1 10 1 2\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 2\n", "5\n0 5 -2 3\n1 5 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 12 6 6\n609926378 1000000000 0 9999999\n1 2 1 4\n1 3 0 1\n", "5\n0 3 0 3\n0 11 4 3\n900000000 1000010000 1 9999999\n1 0 1 1\n1 10 1 2\n", "5\n-1 10 0 3\n1 10 1 0\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 2\n", "5\n0 5 -2 3\n1 5 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n1 3 2 1\n", "5\n-1 10 0 3\n1 10 2 0\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 2\n", "5\n1 3 0 3\n0 11 4 3\n900000000 1000010000 1 9999999\n1 0 1 1\n0 10 1 2\n", "5\n0 10 0 3\n0 13 6 6\n609926378 1000000000 0 9999999\n1 2 1 6\n1 3 0 1\n", "5\n-1 1 0 3\n1 10 2 -1\n900000000 1000000000 2 2570333\n0 2 1 2\n1 3 1 2\n", "5\n1 5 -2 3\n1 0 3 2\n219586913 1000000000 1 9999999\n1 0 2 1\n0 2 1 1\n", "5\n-1 1 0 3\n1 13 2 -1\n900000000 1000000000 1 2570333\n0 2 1 2\n1 3 1 2\n", "5\n-1 1 0 3\n1 13 2 -1\n900000000 1000000000 1 2570333\n0 2 1 2\n0 3 1 2\n", "5\n-1 1 -1 3\n1 13 2 -1\n900000000 1000000000 1 2570333\n0 2 1 2\n0 3 1 2\n", "5\n-1 1 -2 3\n1 13 2 -1\n900000000 1000000000 1 2570333\n0 2 1 2\n0 3 1 2\n", "5\n1 2 -2 6\n1 0 4 2\n296328577 1000000001 1 12696427\n1 0 2 1\n-1 2 1 2\n", "5\n1 10 -2 3\n1 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 4 1 1\n", "5\n0 10 2 3\n0 10 3 3\n900000000 1000000000 1 17346001\n1 2 1 2\n1 3 1 1\n", "5\n0 10 0 3\n0 11 4 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 0 1\n", "5\n0 10 -2 3\n1 10 3 2\n463681791 1000000000 1 9999999\n1 2 1 1\n1 3 2 1\n", "5\n0 10 -2 3\n1 10 3 2\n287449585 1100000000 1 9999999\n1 2 1 1\n1 3 1 0\n", "5\n-2 10 0 3\n1 10 1 2\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 1\n", "5\n0 10 -2 3\n0 10 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n-1 10 0 3\n1 10 1 2\n900000000 1000000000 1 9999999\n0 2 1 1\n1 3 1 2\n", "5\n0 10 0 3\n1 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n0 11 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n1 10 1 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 -1 3\n1 10 3 3\n900000000 1000000000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n0 10 0 3\n0 11 4 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 -2 3\n1 10 3 2\n463681791 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n0 11 4 3\n900000000 1000000000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n0 10 0 3\n1 10 1 3\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 1\n", "5\n0 10 -2 3\n1 10 3 2\n463681791 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 3 3\n609926378 1000000000 0 9999999\n1 2 1 2\n1 3 0 1\n", "5\n-1 10 0 3\n1 10 1 3\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 1\n", "5\n0 10 -2 3\n1 10 3 2\n287449585 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 3 6\n609926378 1000000000 0 9999999\n1 2 1 2\n1 3 0 1\n", "5\n0 10 -2 3\n1 10 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 6 6\n609926378 1000000000 0 9999999\n1 2 1 2\n1 3 0 1\n", "5\n0 10 -2 3\n1 5 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 6 6\n609926378 1000000000 0 9999999\n1 2 1 4\n1 3 0 1\n", "5\n0 3 0 3\n0 11 4 3\n900000000 1000010000 1 9999999\n1 0 1 1\n1 5 1 2\n", "5\n-1 10 -1 3\n1 10 1 2\n900000000 1000000000 1 9999999\n0 2 1 2\n1 3 1 2\n", "5\n0 10 2 3\n0 13 6 6\n609926378 1000000000 0 9999999\n1 2 1 4\n1 3 0 1\n", "5\n0 3 0 3\n0 11 4 3\n900000000 1000010000 1 9999999\n1 0 1 1\n0 10 1 2\n", "5\n0 5 -2 3\n1 5 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n0 3 1 1\n", "5\n0 10 2 3\n0 13 6 6\n609926378 1000000000 0 9999999\n1 2 1 3\n1 3 0 1\n", "5\n-1 10 0 3\n1 10 2 0\n900000000 1000000000 1 2570333\n0 2 1 2\n1 3 1 2\n", "5\n0 5 -2 3\n1 5 3 2\n219586913 1100000000 1 9999999\n1 2 1 1\n0 2 1 1\n", "5\n0 10 2 3\n0 13 6 6\n609926378 1000000000 0 9999999\n1 2 1 6\n1 3 0 1\n", "5\n-1 0 0 3\n1 10 2 0\n900000000 1000000000 1 2570333\n0 2 1 2\n1 3 1 2\n", "5\n0 5 -2 3\n1 5 3 2\n219586913 1000000000 1 9999999\n1 2 1 1\n0 2 1 1\n", "5\n-1 0 0 3\n1 10 2 0\n900000000 1000000000 2 2570333\n0 2 1 2\n1 3 1 2\n", "5\n0 5 -2 3\n1 0 3 2\n219586913 1000000000 1 9999999\n1 2 1 1\n0 2 1 1\n", "5\n-1 1 0 3\n1 10 2 0\n900000000 1000000000 2 2570333\n0 2 1 2\n1 3 1 2\n", "5\n0 5 -2 3\n1 0 3 2\n219586913 1000000000 1 9999999\n1 2 2 1\n0 2 1 1\n", "5\n0 5 -2 3\n1 0 3 2\n219586913 1000000000 1 9999999\n1 0 2 1\n0 2 1 1\n", "5\n-1 1 0 3\n1 10 2 -1\n900000000 1000000000 1 2570333\n0 2 1 2\n1 3 1 2\n", "5\n1 2 -2 3\n1 0 3 2\n219586913 1000000000 1 9999999\n1 0 2 1\n0 2 1 1\n", "5\n1 2 -2 3\n1 0 3 2\n219586913 1000000000 1 9999999\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 3\n1 0 0 2\n219586913 1000000000 1 9999999\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 6\n1 0 0 2\n219586913 1000000000 1 9999999\n1 0 2 1\n-1 2 1 1\n", "5\n-1 0 -2 3\n1 13 2 -1\n900000000 1000000000 1 2570333\n0 2 1 2\n0 3 1 2\n", "5\n1 2 -2 6\n1 0 1 2\n219586913 1000000000 1 9999999\n1 0 2 1\n-1 2 1 1\n", "5\n-1 0 -2 3\n1 13 2 -1\n1315412632 1000000000 1 2570333\n0 2 1 2\n0 3 1 2\n", "5\n1 2 -2 6\n1 0 1 2\n219586913 1000000000 1 12696427\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 6\n1 0 1 2\n219586913 1000000001 1 12696427\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 6\n1 0 2 2\n219586913 1000000001 1 12696427\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 6\n1 0 2 2\n296328577 1000000001 1 12696427\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 6\n1 0 4 2\n296328577 1000000001 1 12696427\n1 0 2 1\n-1 2 1 1\n", "5\n1 2 -2 6\n1 0 4 3\n296328577 1000000001 1 12696427\n1 0 2 1\n-1 2 1 2\n", "5\n1 2 -2 6\n1 0 4 3\n366401231 1000000001 1 12696427\n1 0 2 1\n-1 2 1 2\n", "5\n0 10 2 3\n0 10 3 3\n900000000 1000000000 1 9999999\n1 2 2 1\n1 3 1 1\n", "5\n0 10 0 3\n0 16 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 -1 3\n2 10 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n0 20 3 3\n900000000 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n1 10 1 3\n844029168 1000000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 -1 3\n1 17 3 3\n900000000 1000000000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n0 10 -2 3\n1 10 3 3\n463681791 1000000001 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n1 10 1 3\n900000000 1000010000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 0 3\n0 10 3 3\n609926378 1000000000 1 9999999\n1 2 1 2\n1 3 0 1\n", "5\n0 10 0 3\n0 11 4 1\n900000000 1000000000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n0 10 0 3\n1 10 1 3\n900000000 1000000000 1 9999999\n0 2 1 2\n1 0 1 1\n", "5\n0 10 -2 4\n1 10 3 2\n463681791 1100000000 1 9999999\n1 2 1 1\n1 3 1 1\n", "5\n0 10 2 3\n0 10 3 3\n609926378 1010000000 0 9999999\n1 2 1 2\n1 3 0 1\n", "5\n0 3 0 3\n0 11 2 3\n900000000 1000000000 1 9999999\n1 0 1 1\n1 3 1 1\n", "5\n-1 10 0 3\n1 10 1 3\n900000000 1000000000 2 9999999\n0 2 1 2\n1 3 1 1\n" ], "output": [ "2\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "5\n-1\n10\n-1\n1\n", "10\n-1\n10\n-1\n1\n", "9\n-1\n10\n-1\n1\n", "2\n-1\n10\n-1\n1\n", "10\n-1\n-1\n-1\n1\n", "2\n-1\n10\n-1\n2\n", "-1\n-1\n10\n1\n1\n", "2\n-1\n-1\n-1\n2\n", "1\n-1\n10\n-1\n1\n", "1\n-1\n-1\n-1\n1\n", "-1\n3\n10\n-1\n1\n", "1\n-1\n-1\n-1\n-1\n", "-1\n3\n10\n-1\n-1\n", "5\n-1\n-1\n-1\n1\n", "2\n1\n-1\n-1\n2\n", "1\n-1\n-1\n-1\n3\n", "-1\n9\n10\n-1\n-1\n", "5\n-1\n-1\n-1\n-1\n", "-1\n-1\n10\n-1\n-1\n", "-1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n2\n", "-1\n9\n-1\n-1\n-1\n", "4\n-1\n-1\n-1\n1\n", "-1\n12\n-1\n-1\n-1\n", "-1\n12\n-1\n-1\n1\n", "1\n12\n-1\n-1\n1\n", "2\n12\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n1\n", "9\n-1\n10\n-1\n-1\n", "2\n-1\n-1\n-1\n1\n", "-1\n-1\n10\n-1\n2\n", "10\n-1\n-1\n-1\n-1\n", "10\n-1\n-1\n-1\n2\n", "4\n3\n10\n-1\n1\n", "10\n2\n-1\n-1\n1\n", "-1\n3\n10\n1\n-1\n", "-1\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "5\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "10\n-1\n-1\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "10\n-1\n-1\n-1\n1\n", "2\n-1\n-1\n-1\n2\n", "-1\n-1\n10\n-1\n1\n", "10\n-1\n-1\n-1\n1\n", "2\n-1\n-1\n-1\n2\n", "10\n-1\n-1\n-1\n1\n", "2\n-1\n-1\n-1\n2\n", "10\n-1\n-1\n-1\n1\n", "2\n-1\n-1\n-1\n2\n", "1\n-1\n-1\n-1\n-1\n", "-1\n3\n10\n-1\n-1\n", "2\n-1\n-1\n-1\n2\n", "1\n-1\n-1\n-1\n-1\n", "5\n-1\n-1\n-1\n-1\n", "2\n-1\n-1\n-1\n2\n", "-1\n-1\n-1\n-1\n-1\n", "5\n-1\n-1\n-1\n1\n", "2\n-1\n-1\n-1\n2\n", "-1\n-1\n-1\n-1\n-1\n", "5\n-1\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n-1\n", "5\n-1\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n-1\n", "5\n-1\n-1\n-1\n1\n", "5\n-1\n-1\n-1\n1\n", "-1\n9\n-1\n-1\n-1\n", "1\n-1\n-1\n-1\n1\n", "1\n-1\n-1\n-1\n-1\n", "1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n-1\n", "1\n12\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n-1\n", "1\n12\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n-1\n", "-1\n-1\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n1\n", "2\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "5\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n1\n", "-1\n-1\n-1\n-1\n1\n", "5\n-1\n10\n-1\n1\n", "10\n-1\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n1\n", "-1\n-1\n-1\n-1\n2\n", "-1\n-1\n10\n-1\n1\n", "-1\n-1\n10\n-1\n-1\n", "5\n-1\n-1\n-1\n1\n", "2\n-1\n-1\n-1\n2\n", "1\n-1\n10\n-1\n1\n", "-1\n-1\n-1\n-1\n1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Being tired of participating in too many Codeforces rounds, Gildong decided to take some rest in a park. He sat down on a bench, and soon he found two rabbits hopping around. One of the rabbits was taller than the other. He noticed that the two rabbits were hopping towards each other. The positions of the two rabbits can be represented as integer coordinates on a horizontal line. The taller rabbit is currently on position x, and the shorter rabbit is currently on position y (x < y). Every second, each rabbit hops to another position. The taller rabbit hops to the positive direction by a, and the shorter rabbit hops to the negative direction by b. <image> For example, let's say x=0, y=10, a=2, and b=3. At the 1-st second, each rabbit will be at position 2 and 7. At the 2-nd second, both rabbits will be at position 4. Gildong is now wondering: Will the two rabbits be at the same position at the same moment? If so, how long will it take? Let's find a moment in time (in seconds) after which the rabbits will be at the same point. Input Each test contains one or more test cases. The first line contains the number of test cases t (1 ≤ t ≤ 1000). Each test case contains exactly one line. The line consists of four integers x, y, a, b (0 ≤ x < y ≤ 10^9, 1 ≤ a,b ≤ 10^9) — the current position of the taller rabbit, the current position of the shorter rabbit, the hopping distance of the taller rabbit, and the hopping distance of the shorter rabbit, respectively. Output For each test case, print the single integer: number of seconds the two rabbits will take to be at the same position. If the two rabbits will never be at the same position simultaneously, print -1. Example Input 5 0 10 2 3 0 10 3 3 900000000 1000000000 1 9999999 1 2 1 1 1 3 1 1 Output 2 -1 10 -1 1 Note The first case is explained in the description. In the second case, each rabbit will be at position 3 and 7 respectively at the 1-st second. But in the 2-nd second they will be at 6 and 4 respectively, and we can see that they will never be at the same position since the distance between the two rabbits will only increase afterward. ### Input: 5 0 10 2 3 0 10 3 3 900000000 1000000000 1 9999999 1 2 1 1 1 3 1 1 ### Output: 2 -1 10 -1 1 ### Input: 5 0 10 0 3 0 10 3 3 900000000 1000000000 1 9999999 1 2 1 1 1 3 1 1 ### Output: -1 -1 10 -1 1 ### Code: def main(): test = int(input().strip()) while test>0 : x,y,a,b =map( int,input().strip().split()) z = (y-x)/(a+b) h=(y-x)%(a+b) if h==0: print(int(z)) else: print(-1) test-=1 if __name__ == "__main__": main()
1328_B. K-th Beautiful String_34874
For the given integer n (n > 2) let's write down all the strings of length n which contain n-2 letters 'a' and two letters 'b' in lexicographical (alphabetical) order. Recall that the string s of length n is lexicographically less than string t of length n, if there exists such i (1 ≤ i ≤ n), that s_i < t_i, and for any j (1 ≤ j < i) s_j = t_j. The lexicographic comparison of strings is implemented by the operator < in modern programming languages. For example, if n=5 the strings are (the order does matter): 1. aaabb 2. aabab 3. aabba 4. abaab 5. ababa 6. abbaa 7. baaab 8. baaba 9. babaa 10. bbaaa It is easy to show that such a list of strings will contain exactly (n ⋅ (n-1))/(2) strings. You are given n (n > 2) and k (1 ≤ k ≤ (n ⋅ (n-1))/(2)). Print the k-th string from the list. Input The input contains one or more test cases. The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases in the test. Then t test cases follow. Each test case is written on the the separate line containing two integers n and k (3 ≤ n ≤ 10^5, 1 ≤ k ≤ min(2⋅10^9, (n ⋅ (n-1))/(2)). The sum of values n over all test cases in the test doesn't exceed 10^5. Output For each test case print the k-th string from the list of all described above strings of length n. Strings in the list are sorted lexicographically (alphabetically). Example Input 7 5 1 5 2 5 8 5 10 3 1 3 2 20 100 Output aaabb aabab baaba bbaaa abb bab aaaaabaaaaabaaaaaaaa
tc = int(input()) while tc > 0: n, k = map(int, input().split()) t = 0 for i in range(n): if t + i >= k: s = ["a"] * n s[n - i - 1] = "b" s[n - k + t] = "b" print("".join(s)) break t += i tc -= 1
{ "input": [ "7\n5 1\n5 2\n5 8\n5 10\n3 1\n3 2\n20 100\n", "7\n8 18\n19 11\n20 5\n15 19\n19 15\n20 6\n10 28\n", "2\n64000 2000000000\n36000 600000000\n", "2\n63257 2000000000\n36743 670000000\n", "2\n63246 1999996635\n36754 675409881\n", "2\n64000 2000000000\n36000 647981000\n", "1\n100000 1\n", "2\n50000 1249975000\n50000 1249975000\n", "1\n100000 2000000000\n", "2\n64000 2000000000\n36000 577000000\n", "7\n8 18\n19 11\n20 5\n15 19\n19 15\n11 6\n10 28\n", "1\n100010 1\n", "2\n50000 83767477\n50000 1249975000\n", "1\n100000 20786973\n", "2\n64000 1215355499\n36000 577000000\n", "7\n12 18\n19 11\n20 5\n15 19\n19 15\n11 6\n10 28\n", "1\n100110 1\n", "2\n64000 572781782\n36000 577000000\n", "7\n12 18\n19 11\n20 5\n15 19\n19 15\n11 6\n10 27\n", "1\n100000 2\n", "2\n64000 572781782\n36000 31471452\n", "7\n12 18\n19 11\n14 5\n15 19\n19 15\n11 6\n10 27\n", "7\n12 18\n19 11\n14 5\n9 19\n19 15\n11 6\n10 27\n", "7\n12 18\n19 11\n14 5\n9 19\n19 15\n20 6\n10 27\n", "7\n12 18\n19 11\n14 5\n9 19\n19 15\n20 6\n10 36\n", "7\n12 18\n19 11\n14 5\n9 25\n19 15\n20 6\n10 36\n", "7\n8 18\n27 11\n20 5\n15 19\n19 15\n20 6\n10 28\n", "2\n64000 2000000000\n36000 367828320\n", "2\n82331 1249975000\n50000 1249975000\n", "7\n8 18\n19 11\n20 5\n15 19\n19 5\n11 6\n10 28\n", "1\n100010 2\n", "2\n39776 83767477\n50000 1249975000\n", "1\n100001 20786973\n", "7\n8 18\n19 11\n20 9\n15 19\n19 15\n11 6\n10 28\n", "1\n101010 1\n", "2\n64000 967936009\n36000 577000000\n", "7\n12 18\n19 11\n20 5\n15 19\n38 15\n11 6\n10 27\n", "2\n64000 572781782\n65563 31471452\n", "7\n12 18\n21 11\n14 5\n15 19\n19 15\n11 6\n10 27\n", "7\n12 18\n19 11\n14 6\n9 19\n19 15\n11 6\n10 27\n", "7\n12 18\n19 11\n14 5\n9 19\n19 15\n14 6\n10 27\n", "7\n12 18\n19 5\n14 5\n9 19\n19 15\n20 6\n10 36\n", "7\n12 18\n19 11\n14 5\n9 25\n19 15\n20 6\n17 36\n", "7\n8 18\n27 11\n20 5\n15 6\n19 15\n20 6\n10 28\n", "2\n64000 1362423830\n36000 367828320\n", "2\n82331 1882017872\n50000 1249975000\n", "7\n8 17\n19 11\n20 5\n15 19\n19 5\n11 6\n10 28\n", "1\n100010 4\n", "2\n19096 83767477\n50000 1249975000\n", "1\n101000 1\n", "2\n64000 967936009\n36000 546016642\n", "7\n12 18\n18 11\n20 5\n15 19\n38 15\n11 6\n10 27\n", "2\n64000 716116123\n65563 31471452\n", "7\n12 18\n21 11\n14 5\n15 19\n19 15\n11 3\n10 27\n", "7\n12 18\n19 11\n14 6\n9 11\n19 15\n11 6\n10 27\n", "7\n12 18\n19 6\n14 5\n9 19\n19 15\n14 6\n10 27\n", "7\n12 18\n19 11\n14 5\n13 25\n19 15\n20 6\n17 36\n", "2\n82331 1882017872\n50000 518436045\n", "7\n8 17\n19 11\n20 8\n15 19\n19 5\n11 6\n10 28\n", "1\n100011 4\n", "2\n19096 43136920\n50000 1249975000\n", "2\n64000 299486257\n36000 546016642\n", "2\n64000 1354761696\n65563 31471452\n", "7\n12 21\n21 11\n14 5\n15 19\n19 15\n11 3\n10 27\n", "7\n7 18\n19 11\n14 6\n9 11\n19 15\n11 6\n10 27\n", "7\n12 18\n19 21\n14 5\n13 25\n19 15\n20 6\n17 36\n", "2\n82331 1882017872\n53915 518436045\n", "7\n8 17\n19 11\n23 8\n15 19\n19 5\n11 6\n10 28\n", "1\n100001 4\n", "2\n64000 492218190\n36000 546016642\n", "2\n64000 1332644105\n65563 31471452\n", "7\n12 21\n21 11\n14 5\n15 19\n19 15\n11 3\n10 11\n", "7\n12 18\n19 21\n14 5\n13 25\n19 15\n20 6\n28 36\n", "2\n80580 1882017872\n53915 518436045\n", "7\n10 17\n19 11\n23 8\n15 19\n19 5\n11 6\n10 28\n", "1\n100001 5\n", "2\n64000 220105091\n36000 546016642\n", "7\n12 21\n21 11\n14 5\n15 19\n26 15\n11 3\n10 11\n", "7\n12 18\n19 21\n14 3\n13 25\n19 15\n20 6\n28 36\n", "7\n10 33\n19 11\n23 8\n15 19\n19 5\n11 6\n10 28\n", "1\n100011 5\n", "7\n12 18\n19 21\n14 3\n13 25\n19 2\n20 6\n28 36\n", "7\n10 33\n19 11\n23 8\n15 19\n17 5\n11 6\n10 28\n", "1\n100011 2\n", "7\n12 18\n19 21\n14 3\n13 25\n34 2\n20 6\n28 36\n", "1\n100011 3\n", "7\n12 18\n19 21\n14 3\n13 25\n62 2\n20 6\n28 36\n", "1\n100011 1\n", "7\n12 18\n19 21\n14 3\n13 25\n22 2\n20 6\n28 36\n", "1\n101011 1\n", "7\n12 18\n19 21\n16 3\n13 25\n22 2\n20 6\n28 36\n", "1\n001011 1\n", "7\n12 18\n19 21\n16 5\n13 25\n22 2\n20 6\n28 36\n", "1\n000011 1\n", "7\n12 18\n19 21\n16 5\n13 25\n22 2\n20 3\n28 36\n", "1\n000111 1\n", "7\n12 18\n19 21\n16 5\n13 6\n22 2\n20 3\n28 36\n", "2\n63257 2000000000\n41990 670000000\n", "2\n95433 2000000000\n36000 647981000\n", "2\n64000 2000000000\n36000 393499979\n", "7\n5 1\n5 2\n5 8\n5 10\n3 1\n5 2\n20 100\n", "7\n8 18\n19 11\n20 5\n15 19\n34 15\n11 6\n10 28\n", "1\n000010 1\n" ], "output": [ "aaabb\naabab\nbaaba\nbbaaa\nabb\nbab\naaaaabaaaaabaaaaaaaa\n", "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaabbaaaa\naaaaaaaaaaaaaaaabbaa\naabbaaaaaa\n", 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aaa\n", "aaabb\naabab\nbaaba\nbbaaa\nabb\naabab\naaaaabaaaaabaaaaaaaa\n", "abaaabaa\naaaaaaaaaaaaabaaaab\naaaaaaaaaaaaaaaababa\naaaaaaaabaabaaa\naaaaaaaaaaaaaaaaaaaaaaaaaaaabbaaaa\naaaaaaabbaa\naabbaaaaaa\n", "aaaaaaaabb\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: For the given integer n (n > 2) let's write down all the strings of length n which contain n-2 letters 'a' and two letters 'b' in lexicographical (alphabetical) order. Recall that the string s of length n is lexicographically less than string t of length n, if there exists such i (1 ≤ i ≤ n), that s_i < t_i, and for any j (1 ≤ j < i) s_j = t_j. The lexicographic comparison of strings is implemented by the operator < in modern programming languages. For example, if n=5 the strings are (the order does matter): 1. aaabb 2. aabab 3. aabba 4. abaab 5. ababa 6. abbaa 7. baaab 8. baaba 9. babaa 10. bbaaa It is easy to show that such a list of strings will contain exactly (n ⋅ (n-1))/(2) strings. You are given n (n > 2) and k (1 ≤ k ≤ (n ⋅ (n-1))/(2)). Print the k-th string from the list. Input The input contains one or more test cases. The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases in the test. Then t test cases follow. Each test case is written on the the separate line containing two integers n and k (3 ≤ n ≤ 10^5, 1 ≤ k ≤ min(2⋅10^9, (n ⋅ (n-1))/(2)). The sum of values n over all test cases in the test doesn't exceed 10^5. Output For each test case print the k-th string from the list of all described above strings of length n. Strings in the list are sorted lexicographically (alphabetically). Example Input 7 5 1 5 2 5 8 5 10 3 1 3 2 20 100 Output aaabb aabab baaba bbaaa abb bab aaaaabaaaaabaaaaaaaa ### Input: 7 5 1 5 2 5 8 5 10 3 1 3 2 20 100 ### Output: aaabb aabab baaba bbaaa abb bab aaaaabaaaaabaaaaaaaa ### Input: 7 8 18 19 11 20 5 15 19 19 15 20 6 10 28 ### Output: abaaabaa aaaaaaaaaaaaabaaaab aaaaaaaaaaaaaaaababa aaaaaaaabaabaaa aaaaaaaaaaaaabbaaaa aaaaaaaaaaaaaaaabbaa aabbaaaaaa ### Code: tc = int(input()) while tc > 0: n, k = map(int, input().split()) t = 0 for i in range(n): if t + i >= k: s = ["a"] * n s[n - i - 1] = "b" s[n - k + t] = "b" print("".join(s)) break t += i tc -= 1
1348_B. Phoenix and Beauty_34878
Phoenix loves beautiful arrays. An array is beautiful if all its subarrays of length k have the same sum. A subarray of an array is any sequence of consecutive elements. Phoenix currently has an array a of length n. He wants to insert some number of integers, possibly zero, into his array such that it becomes beautiful. The inserted integers must be between 1 and n inclusive. Integers may be inserted anywhere (even before the first or after the last element), and he is not trying to minimize the number of inserted integers. Input The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 50) — the number of test cases. The first line of each test case contains two integers n and k (1 ≤ k ≤ n ≤ 100). The second line of each test case contains n space-separated integers (1 ≤ a_i ≤ n) — the array that Phoenix currently has. This array may or may not be already beautiful. Output For each test case, if it is impossible to create a beautiful array, print -1. Otherwise, print two lines. The first line should contain the length of the beautiful array m (n ≤ m ≤ 10^4). You don't need to minimize m. The second line should contain m space-separated integers (1 ≤ b_i ≤ n) — a beautiful array that Phoenix can obtain after inserting some, possibly zero, integers into his array a. You may print integers that weren't originally in array a. If there are multiple solutions, print any. It's guaranteed that if we can make array a beautiful, we can always make it with resulting length no more than 10^4. Example Input 4 4 2 1 2 2 1 4 3 1 2 2 1 3 2 1 2 3 4 4 4 3 4 2 Output 5 1 2 1 2 1 4 1 2 2 1 -1 7 4 3 2 1 4 3 2 Note In the first test case, we can make array a beautiful by inserting the integer 1 at index 3 (in between the two existing 2s). Now, all subarrays of length k=2 have the same sum 3. There exists many other possible solutions, for example: * 2, 1, 2, 1, 2, 1 * 1, 2, 1, 2, 1, 2 In the second test case, the array is already beautiful: all subarrays of length k=3 have the same sum 5. In the third test case, it can be shown that we cannot insert numbers to make array a beautiful. In the fourth test case, the array b shown is beautiful and all subarrays of length k=4 have the same sum 10. There exist other solutions also.
for _ in range(int(input())): n,k=map(int,input().split()) d=dict() a=[] new=[] for x in input().split(): x=int(x) a.append(x) if x not in d: d[x]=0 new.append(x) d[x]+=1 if len(d)>k: print("-1") else: while len(new)!=k: new.append(new[-1]) print(n*k) for i in range(n): print(*new[:k],end=" ") print("")
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63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 31 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 1 2\n", "4\n4 2\n0 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 1 2\n", "1\n100 100\n100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 15 12 11 10 9 8 7 6 5 4 3 2 1\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 2 1\n3 2\n1 2 1\n4 4\n4 3 4 2\n", "1\n100 100\n100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 22 24 23 22 21 20 25 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 1\n3 1\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n0 2 3 1\n4 1\n1 2 2 1\n3 2\n2 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 4 1\n3 2\n1 2 1\n4 4\n4 3 4 2\n", "4\n4 2\n-1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 2\n4 4\n4 3 1 2\n", "1\n100 100\n100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 54 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1\n", "4\n4 2\n0 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 1\n1 2 2 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 1\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 2 1\n3 2\n1 2 0\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 2 1\n4 2\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 3 2 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 2 1\n3 3\n1 2 1\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 3 2\n4 1\n1 2 2 1\n3 2\n2 2 3\n4 4\n4 1 2 2\n", "4\n4 2\n1 2 2 1\n4 1\n0 2 2 1\n3 2\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n1 2 2 0\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 1 4 3\n", "4\n4 2\n1 3 2 1\n4 1\n0 2 2 1\n3 2\n1 2 1\n4 4\n4 3 4 2\n", "4\n4 2\n2 4 2 1\n4 3\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n0 2 2 1\n3 3\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n0 2 2 1\n4 1\n1 2 4 1\n3 2\n1 1 3\n4 4\n4 3 1 3\n", "4\n4 2\n0 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 1\n3 1\n1 2 3\n4 4\n4 3 1 2\n", "4\n4 2\n-1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 1 2\n", "4\n4 2\n0 2 3 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n2 2 2 1\n4 1\n1 2 2 1\n3 1\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n0 2 3 2\n4 1\n1 2 2 1\n3 2\n2 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n2 2 2 1\n4 0\n1 2 2 1\n3 1\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n0 2 3 2\n4 1\n1 2 2 2\n3 2\n2 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 1\n0 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 3 1\n4 1\n1 2 0 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 1\n1 2 2 1\n4 1\n0 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 3 1\n4 1\n1 1 0 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "1\n100 100\n100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 22 24 23 15 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1\n", "4\n4 2\n1 2 2 0\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 1 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 3 1\n4 1\n1 1 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 2\n3 1\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n2 2 2 1\n4 1\n1 2 2 1\n3 1\n0 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n2 2 2 1\n4 0\n1 2 2 1\n3 1\n1 2 0\n4 4\n4 3 1 3\n", "4\n4 2\n0 2 3 2\n4 1\n1 2 2 3\n3 2\n2 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 1\n0 2 1 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n-1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 1 2\n4 4\n4 3 1 2\n", "4\n4 2\n0 2 3 1\n4 1\n1 1 0 2\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 1\n2 2 2 1\n4 3\n1 2 3 1\n3 2\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n4 2 2 1\n4 1\n1 2 2 1\n3 1\n0 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n1 2 2 1\n4 1\n0 2 2 1\n3 2\n1 2 1\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 3 1\n4 1\n2 1 0 2\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 3 1\n3 2\n1 2 1\n4 4\n4 3 2 2\n", "4\n4 2\n2 2 2 1\n4 3\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 0\n1 2 2 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 2 1\n4 1\n1 2 2 2\n3 2\n1 2 3\n4 4\n4 3 1 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 0\n3 1\n1 2 3\n4 4\n4 3 1 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 3 1\n3 0\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n1 2 2 1\n3 1\n2 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n0 2 3 1\n4 1\n1 2 1 1\n3 2\n2 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n2 2 2 1\n4 0\n1 2 2 1\n3 1\n1 1 3\n4 4\n4 3 1 3\n", "4\n4 2\n-1 2 2 1\n4 1\n1 2 2 2\n3 2\n1 2 2\n4 4\n4 3 1 2\n", "4\n4 1\n1 2 2 1\n4 1\n0 2 2 0\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n2 2 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n0 2 2 1\n4 1\n1 2 4 1\n3 2\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n1 2 1 1\n4 3\n0 2 3 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 3 1\n4 1\n1 1 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 0\n1 2 2 2\n3 1\n1 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n2 3 2 1\n4 1\n1 2 2 1\n3 1\n0 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n2 1 2 1\n4 0\n1 2 2 1\n3 1\n1 2 0\n4 4\n4 3 1 3\n", "4\n4 2\n0 3 3 2\n4 1\n1 2 2 3\n3 2\n2 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n0 2 3 1\n4 1\n1 1 -1 2\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n4 2 2 1\n4 1\n1 2 2 2\n3 1\n0 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n1 2 2 1\n4 1\n1 0 3 1\n3 2\n1 2 1\n4 4\n4 3 2 2\n", "4\n4 0\n1 2 3 1\n4 1\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 4 2\n", "4\n4 2\n0 2 0 1\n4 2\n1 2 2 1\n3 2\n1 2 3\n4 4\n4 3 2 2\n", "4\n4 2\n1 2 2 1\n4 3\n1 2 2 2\n3 3\n1 2 1\n4 4\n4 3 4 2\n", "4\n4 2\n1 2 2 1\n4 1\n0 2 2 0\n3 1\n1 2 3\n4 4\n4 3 1 2\n", "4\n4 2\n2 2 2 1\n4 1\n1 2 2 1\n3 1\n2 2 3\n4 4\n4 3 1 3\n", "4\n4 2\n-1 4 2 1\n4 1\n1 2 2 2\n3 2\n1 2 2\n4 4\n4 3 1 2\n", "4\n4 2\n1 2 2 0\n4 1\n0 2 2 1\n3 2\n1 2 3\n4 4\n4 1 4 2\n", "4\n4 2\n1 2 3 1\n4 1\n1 1 -1 2\n3 2\n1 2 3\n4 4\n4 3 2 2\n" ], "output": [ "8\n1 2 1 2 1 2 1 2\n12\n1 2 1 1 2 1 1 2 1 1 2 1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1\n", "10000\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 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90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 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94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "-1\n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "10000\n1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 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49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 1 1 2 1 1 2 1 1 2 1 \n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "10000\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 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2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 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90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 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8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 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97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 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71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 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100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 4 1 2 4 1 2 4 1 2 4 \n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n6\n1 2 1 2 1 2 \n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "10000\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 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63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 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93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 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70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 \n", "-1\n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 1 1 2 1 1 2 1 1 2 1 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n8\n1 2 1 2 1 2 1 2 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 1 1 2 1 1 2 1 1 2 1 \n9\n1 2 1 1 2 1 1 2 1 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "-1\n-1\n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n12\n1 2 1 1 2 1 1 2 1 1 2 1 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n9\n1 2 3 1 2 3 1 2 3 \n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "-1\n-1\n6\n1 3 1 3 1 3 \n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "-1\n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "10000\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 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71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 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45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 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61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 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91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 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53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n6\n1 2 1 2 1 2 \n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "-1\n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 1 1 2 1 1 2 1 1 2 1 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 3 1 2 3 1 2 3 1 2 3 \n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n1 2 1 2 1 2 \n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n2 3 2 3 2 3 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n6\n1 2 1 2 1 2 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "-1\n8\n1 2 1 2 1 2 1 2 \n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n12\n1 2 1 1 2 1 1 2 1 1 2 1 \n9\n1 2 1 1 2 1 1 2 1 \n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "8\n1 2 1 2 1 2 1 2 \n-1\n-1\n16\n1 3 4 1 1 3 4 1 1 3 4 1 1 3 4 1 \n", "-1\n-1\n6\n1 2 1 2 1 2 \n16\n1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 \n", "-1\n-1\n-1\n16\n1 2 4 1 1 2 4 1 1 2 4 1 1 2 4 1 \n", "-1\n-1\n-1\n16\n2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 \n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Phoenix loves beautiful arrays. An array is beautiful if all its subarrays of length k have the same sum. A subarray of an array is any sequence of consecutive elements. Phoenix currently has an array a of length n. He wants to insert some number of integers, possibly zero, into his array such that it becomes beautiful. The inserted integers must be between 1 and n inclusive. Integers may be inserted anywhere (even before the first or after the last element), and he is not trying to minimize the number of inserted integers. Input The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 50) — the number of test cases. The first line of each test case contains two integers n and k (1 ≤ k ≤ n ≤ 100). The second line of each test case contains n space-separated integers (1 ≤ a_i ≤ n) — the array that Phoenix currently has. This array may or may not be already beautiful. Output For each test case, if it is impossible to create a beautiful array, print -1. Otherwise, print two lines. The first line should contain the length of the beautiful array m (n ≤ m ≤ 10^4). You don't need to minimize m. The second line should contain m space-separated integers (1 ≤ b_i ≤ n) — a beautiful array that Phoenix can obtain after inserting some, possibly zero, integers into his array a. You may print integers that weren't originally in array a. If there are multiple solutions, print any. It's guaranteed that if we can make array a beautiful, we can always make it with resulting length no more than 10^4. Example Input 4 4 2 1 2 2 1 4 3 1 2 2 1 3 2 1 2 3 4 4 4 3 4 2 Output 5 1 2 1 2 1 4 1 2 2 1 -1 7 4 3 2 1 4 3 2 Note In the first test case, we can make array a beautiful by inserting the integer 1 at index 3 (in between the two existing 2s). Now, all subarrays of length k=2 have the same sum 3. There exists many other possible solutions, for example: * 2, 1, 2, 1, 2, 1 * 1, 2, 1, 2, 1, 2 In the second test case, the array is already beautiful: all subarrays of length k=3 have the same sum 5. In the third test case, it can be shown that we cannot insert numbers to make array a beautiful. In the fourth test case, the array b shown is beautiful and all subarrays of length k=4 have the same sum 10. There exist other solutions also. ### Input: 4 4 2 1 2 2 1 4 3 1 2 2 1 3 2 1 2 3 4 4 4 3 4 2 ### Output: 8 1 2 1 2 1 2 1 2 12 1 2 1 1 2 1 1 2 1 1 2 1 -1 16 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 ### Input: 1 100 100 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ### Output: 10000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 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11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ### Code: for _ in range(int(input())): n,k=map(int,input().split()) d=dict() a=[] new=[] for x in input().split(): x=int(x) a.append(x) if x not in d: d[x]=0 new.append(x) d[x]+=1 if len(d)>k: print("-1") else: while len(new)!=k: new.append(new[-1]) print(n*k) for i in range(n): print(*new[:k],end=" ") print("")
1413_B. A New Technique_34886
All techniques in the ninja world consist of hand seals. At the moment Naruto is learning a new technique, which consists of n⋅ m different seals, denoted by distinct numbers. All of them were written in an n× m table. The table is lost now. Naruto managed to remember elements of each row from left to right, and elements of each column from top to bottom, but he doesn't remember the order of rows and columns. Please restore the table consistent with this data so that Naruto will be able to learn the new technique. Input The first line of the input contains the only integer t (1≤ t≤ 100 000) denoting the number of test cases. Their descriptions follow. The first line of each test case description consists of two space-separated integers n and m (1 ≤ n, m ≤ 500) standing for the number of rows and columns in the table, respectively. All hand seals are encoded by the positive integers from 1 to n⋅ m. The following n lines contain m space separated integers each, denoting elements of an arbitrary row in the table left to right. The following m lines contain n space separated integers each, denoting elements of an arbitrary column in the table top to bottom. Sum of nm over all test cases does not exceed 250 000. It is guaranteed that each row occurs in the input exactly once, as well as each column. It is also guaranteed that each number from 1 to nm occurs exactly once in all rows, as well as in all columns. Finally, it is guaranteed that a table consistent with the input exists. Output For each test case, output n lines with m space-separated integers each, denoting the restored table. One can show that the answer is always unique. Example Input 2 2 3 6 5 4 1 2 3 1 6 2 5 3 4 3 1 2 3 1 3 1 2 Output 1 2 3 6 5 4 3 1 2 Note Consider the first test case. The matrix is 2 × 3. You are given the rows and columns in arbitrary order. One of the rows is [6, 5, 4]. One of the rows is [1, 2, 3]. One of the columns is [1, 6]. One of the columns is [2, 5]. One of the columns is [3, 4]. You are to reconstruct the matrix. The answer is given in the output.
# Source: PyRival import os import sys from io import BytesIO, IOBase def main(): for _ in range(int(input())): n, m = map(int, input().split()) row = [] col = [] for i in range(n): row.append(list(map(int, input().split()))) for j in range(m): col.append(list(map(int, input().split()))) for j in range(m): if row[0][j] in col[0]: idx = j break order = [0] * n for i in range(n): order[col[0].index(row[i][idx])] = i for i in order: sys.stdout.write(' '.join(map(str, row[i])) + '\n') # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main()
{ "input": [ "2\n2 3\n6 5 4\n1 2 3\n1 6\n2 5\n3 4\n3 1\n2\n3\n1\n3 1 2\n", "2\n2 3\n6 5 4\n1 2 3\n1 6\n2 4\n3 5\n3 1\n2\n3\n1\n3 1 2\n", "2\n2 3\n6 5 4\n1 2 3\n1 6\n2 5\n3 4\n3 1\n3\n2\n1\n3 1 2\n" ], "output": [ "1 2 3 \n6 5 4 \n3 \n1 \n2 \n", "1 2 3\n6 5 4\n3\n1\n2\n", "1 2 3\n6 5 4\n3\n1\n2\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: All techniques in the ninja world consist of hand seals. At the moment Naruto is learning a new technique, which consists of n⋅ m different seals, denoted by distinct numbers. All of them were written in an n× m table. The table is lost now. Naruto managed to remember elements of each row from left to right, and elements of each column from top to bottom, but he doesn't remember the order of rows and columns. Please restore the table consistent with this data so that Naruto will be able to learn the new technique. Input The first line of the input contains the only integer t (1≤ t≤ 100 000) denoting the number of test cases. Their descriptions follow. The first line of each test case description consists of two space-separated integers n and m (1 ≤ n, m ≤ 500) standing for the number of rows and columns in the table, respectively. All hand seals are encoded by the positive integers from 1 to n⋅ m. The following n lines contain m space separated integers each, denoting elements of an arbitrary row in the table left to right. The following m lines contain n space separated integers each, denoting elements of an arbitrary column in the table top to bottom. Sum of nm over all test cases does not exceed 250 000. It is guaranteed that each row occurs in the input exactly once, as well as each column. It is also guaranteed that each number from 1 to nm occurs exactly once in all rows, as well as in all columns. Finally, it is guaranteed that a table consistent with the input exists. Output For each test case, output n lines with m space-separated integers each, denoting the restored table. One can show that the answer is always unique. Example Input 2 2 3 6 5 4 1 2 3 1 6 2 5 3 4 3 1 2 3 1 3 1 2 Output 1 2 3 6 5 4 3 1 2 Note Consider the first test case. The matrix is 2 × 3. You are given the rows and columns in arbitrary order. One of the rows is [6, 5, 4]. One of the rows is [1, 2, 3]. One of the columns is [1, 6]. One of the columns is [2, 5]. One of the columns is [3, 4]. You are to reconstruct the matrix. The answer is given in the output. ### Input: 2 2 3 6 5 4 1 2 3 1 6 2 5 3 4 3 1 2 3 1 3 1 2 ### Output: 1 2 3 6 5 4 3 1 2 ### Input: 2 2 3 6 5 4 1 2 3 1 6 2 4 3 5 3 1 2 3 1 3 1 2 ### Output: 1 2 3 6 5 4 3 1 2 ### Code: # Source: PyRival import os import sys from io import BytesIO, IOBase def main(): for _ in range(int(input())): n, m = map(int, input().split()) row = [] col = [] for i in range(n): row.append(list(map(int, input().split()))) for j in range(m): col.append(list(map(int, input().split()))) for j in range(m): if row[0][j] in col[0]: idx = j break order = [0] * n for i in range(n): order[col[0].index(row[i][idx])] = i for i in order: sys.stdout.write(' '.join(map(str, row[i])) + '\n') # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # endregion if __name__ == "__main__": main()
1455_B. Jumps_34890
You are standing on the OX-axis at point 0 and you want to move to an integer point x > 0. You can make several jumps. Suppose you're currently at point y (y may be negative) and jump for the k-th time. You can: * either jump to the point y + k * or jump to the point y - 1. What is the minimum number of jumps you need to reach the point x? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains the single integer x (1 ≤ x ≤ 10^6) — the destination point. Output For each test case, print the single integer — the minimum number of jumps to reach x. It can be proved that we can reach any integer point x. Example Input 5 1 2 3 4 5 Output 1 3 2 3 4 Note In the first test case x = 1, so you need only one jump: the 1-st jump from 0 to 0 + 1 = 1. In the second test case x = 2. You need at least three jumps: * the 1-st jump from 0 to 0 + 1 = 1; * the 2-nd jump from 1 to 1 + 2 = 3; * the 3-rd jump from 3 to 3 - 1 = 2; Two jumps are not enough because these are the only possible variants: * the 1-st jump as -1 and the 2-nd one as -1 — you'll reach 0 -1 -1 =-2; * the 1-st jump as -1 and the 2-nd one as +2 — you'll reach 0 -1 +2 = 1; * the 1-st jump as +1 and the 2-nd one as -1 — you'll reach 0 +1 -1 = 0; * the 1-st jump as +1 and the 2-nd one as +2 — you'll reach 0 +1 +2 = 3; In the third test case, you need two jumps: the 1-st one as +1 and the 2-nd one as +2, so 0 + 1 + 2 = 3. In the fourth test case, you need three jumps: the 1-st one as -1, the 2-nd one as +2 and the 3-rd one as +3, so 0 - 1 + 2 + 3 = 4.
t = int(input()) for i in range(t): n = int(input()) i=1 sum=0 cnt=0 while sum<n: sum+=i cnt+=1 i+=1 if sum==n or sum-n>1: print(cnt) else: print(cnt+1)
{ "input": [ "5\n1\n2\n3\n4\n5\n", "1\n8627\n", "12\n1\n2\n3\n4\n5\n1\n2\n3\n4\n5\n1\n2\n", "1\n10\n", "1\n8215\n", "12\n1\n2\n3\n4\n5\n2\n2\n3\n4\n5\n1\n2\n", "1\n14\n", "1\n14660\n", "12\n1\n2\n3\n4\n5\n2\n2\n2\n4\n5\n1\n2\n", "1\n21045\n", "12\n1\n2\n6\n4\n5\n2\n2\n2\n4\n5\n1\n2\n", "1\n38\n", "1\n14752\n", "12\n1\n2\n6\n4\n5\n2\n2\n1\n4\n5\n1\n2\n", "1\n72\n", "1\n25296\n", "1\n86\n", "1\n13229\n", "1\n55\n", "1\n18509\n", "1\n35029\n", "1\n93\n", "1\n44653\n", "1\n63\n", "1\n54615\n", "1\n117\n", "1\n87178\n", "1\n202\n", "1\n92726\n", "1\n158\n", "1\n85487\n", "1\n246\n", "1\n27550\n", "1\n369\n", "1\n29630\n", "1\n579\n", "1\n17443\n", "1\n445\n", "1\n26499\n", "1\n130\n", "1\n46070\n", "1\n49040\n", "1\n58903\n", "1\n49992\n", "1\n342\n", "1\n59846\n", "1\n506\n", "1\n92141\n", "1\n612\n", "1\n41698\n", "1\n80543\n", "1\n696\n", "1\n33989\n", "1\n225\n", "1\n3170\n", "1\n314\n", "1\n3785\n", "1\n296\n", "1\n3900\n", "1\n6132\n", "1\n10489\n", "1\n8\n", "1\n2086\n", "1\n13\n", "1\n2888\n", "1\n6\n", "1\n1863\n", "1\n3\n", "1\n891\n", "1\n1042\n", "1\n1757\n", "1\n2020\n", "1\n914\n", "1\n179\n", "1\n391\n", "1\n153\n", "1\n36\n", "1\n9126\n", "12\n1\n2\n3\n4\n5\n1\n2\n3\n4\n3\n1\n2\n", "1\n856\n", "12\n1\n2\n3\n4\n5\n2\n3\n3\n4\n5\n1\n2\n", "1\n1\n", "1\n4451\n", "1\n2574\n", "12\n1\n1\n6\n4\n5\n2\n2\n2\n4\n5\n1\n2\n", "12\n1\n2\n6\n3\n5\n2\n2\n1\n4\n5\n1\n2\n", "1\n21250\n", "1\n19707\n", "1\n11292\n", "1\n28574\n", "1\n16337\n", "1\n66747\n", "1\n41369\n", "1\n177971\n", "1\n106589\n", "1\n45656\n", "1\n496\n", "1\n43841\n", "1\n19334\n", "1\n631\n", "1\n36709\n", "1\n32855\n", "1\n54947\n", "1\n79342\n", "1\n54102\n", "1\n50591\n", "1\n165401\n", "1\n719\n", "1\n50342\n", "1\n419\n", "1\n65604\n", "1\n1392\n", "1\n33755\n", "1\n259\n", "1\n5437\n", "1\n11626\n", "1\n12470\n", "1\n2976\n", "1\n2515\n", "1\n809\n", "1\n1507\n", "1\n753\n", "1\n550\n", "1\n20\n", "1\n4296\n", "1\n1677\n", "1\n4047\n", "12\n1\n1\n6\n7\n5\n2\n2\n2\n4\n5\n1\n2\n", "1\n21558\n", "12\n1\n2\n6\n3\n5\n2\n2\n1\n7\n5\n1\n2\n", "1\n37325\n", "1\n10931\n", "1\n36048\n", "1\n119292\n", "1\n48362\n", "1\n265635\n", "1\n126300\n", "1\n49379\n", "1\n62330\n", "1\n38286\n", "1\n15692\n", "1\n58558\n", "1\n82713\n", "1\n12710\n", "1\n35531\n", "1\n65798\n", "1\n1202\n", "1\n137423\n", "1\n5167\n", "1\n51727\n", "1\n1606\n", "1\n44149\n", "1\n4837\n", "1\n9249\n", "1\n5927\n", "1\n3257\n", "1\n1131\n", "1\n1124\n", "1\n959\n", "1\n2187\n", "12\n1\n2\n3\n6\n5\n1\n2\n3\n4\n6\n1\n2\n", "12\n1\n2\n3\n4\n5\n2\n3\n3\n4\n5\n1\n3\n", "1\n3999\n", "12\n1\n1\n6\n7\n5\n2\n2\n3\n4\n5\n1\n2\n", "1\n1446\n", "12\n1\n2\n6\n3\n4\n2\n2\n1\n7\n5\n1\n2\n", "1\n10308\n", "1\n6914\n", "1\n14382\n", "1\n141693\n", "1\n77442\n", "1\n207283\n", "1\n211136\n", "1\n40972\n", "1\n104392\n", "1\n51038\n", "1\n73318\n", "1\n51378\n", "1\n7528\n", "1\n63050\n", "1\n25051\n", "1\n177182\n", "1\n19281\n", "1\n86057\n", "1\n5617\n", "1\n5698\n", "1\n19\n", "1\n49\n", "1\n234\n", "1\n126\n", "1\n200\n", "1\n505\n", "1\n46\n", "1\n35\n", "1\n3161\n", "1\n16\n", "1\n4\n", "1\n7\n", "1\n247\n", "1\n204\n", "1\n299\n", "1\n60\n", "1\n56\n", "1\n64\n" ], "output": [ "\n1\n3\n2\n3\n4\n", "131\n", "1\n3\n2\n3\n4\n1\n3\n2\n3\n4\n1\n3\n", "4\n", "128\n", "1\n3\n2\n3\n4\n3\n3\n2\n3\n4\n1\n3\n", "6\n", "171\n", "1\n3\n2\n3\n4\n3\n3\n3\n3\n4\n1\n3\n", "205\n", "1\n3\n3\n3\n4\n3\n3\n3\n3\n4\n1\n3\n", "9\n", "172\n", "1\n3\n3\n3\n4\n3\n3\n1\n3\n4\n1\n3\n", "12\n", "225\n", "13\n", "163\n", "10\n", "192\n", "265\n", "14\n", "299\n", "11\n", "330\n", "15\n", "418\n", "20\n", "431\n", "18\n", "413\n", "22\n", "235\n", "27\n", "243\n", "34\n", "187\n", "30\n", "230\n", "16\n", "304\n", "313\n", "343\n", "316\n", "26\n", "346\n", "32\n", "429\n", "35\n", "289\n", "401\n", "37\n", "261\n", "21\n", "80\n", "25\n", "87\n", "24\n", "88\n", "111\n", "145\n", "4\n", "65\n", "5\n", "76\n", "3\n", "61\n", "2\n", "42\n", "46\n", "59\n", "64\n", "43\n", "19\n", "28\n", "17\n", "8\n", "135\n", "1\n3\n2\n3\n4\n1\n3\n2\n3\n2\n1\n3\n", "41\n", "1\n3\n2\n3\n4\n3\n2\n2\n3\n4\n1\n3\n", "1\n", "94\n", "72\n", "1\n1\n3\n3\n4\n3\n3\n3\n3\n4\n1\n3\n", "1\n3\n3\n2\n4\n3\n3\n1\n3\n4\n1\n3\n", "206\n", "199\n", "150\n", "239\n", "181\n", "365\n", "288\n", "597\n", "462\n", "302\n", "31\n", "296\n", "197\n", "36\n", "271\n", "256\n", "332\n", "398\n", "329\n", "318\n", "575\n", "38\n", "317\n", "29\n", "362\n", "53\n", "260\n", "23\n", "104\n", "152\n", "158\n", "77\n", "71\n", "40\n", "55\n", "39\n", "33\n", "7\n", "93\n", "58\n", "90\n", "1\n1\n3\n4\n4\n3\n3\n3\n3\n4\n1\n3\n", "208\n", "1\n3\n3\n2\n4\n3\n3\n1\n4\n4\n1\n3\n", "273\n", "148\n", "269\n", "488\n", "311\n", "729\n", "503\n", "314\n", "353\n", "277\n", "177\n", "342\n", "407\n", "159\n", "267\n", "363\n", "49\n", "524\n", "102\n", "322\n", "57\n", "297\n", "98\n", "136\n", "109\n", "81\n", "48\n", "47\n", "44\n", "66\n", "1\n3\n2\n3\n4\n1\n3\n2\n3\n3\n1\n3\n", "1\n3\n2\n3\n4\n3\n2\n2\n3\n4\n1\n2\n", "89\n", "1\n1\n3\n4\n4\n3\n3\n2\n3\n4\n1\n3\n", "54\n", "1\n3\n3\n2\n3\n3\n3\n1\n4\n4\n1\n3\n", "144\n", "118\n", "170\n", "532\n", "394\n", "644\n", "650\n", "286\n", "457\n", "319\n", "383\n", "321\n", "123\n", "355\n", "224\n", "595\n", "196\n", "415\n", "106\n", "107\n", "6\n", "10\n", "22\n", "16\n", "20\n", "32\n", "10\n", "9\n", "80\n", "6\n", "3\n", "4\n", "22\n", "20\n", "25\n", "11\n", "11\n", "11\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are standing on the OX-axis at point 0 and you want to move to an integer point x > 0. You can make several jumps. Suppose you're currently at point y (y may be negative) and jump for the k-th time. You can: * either jump to the point y + k * or jump to the point y - 1. What is the minimum number of jumps you need to reach the point x? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains the single integer x (1 ≤ x ≤ 10^6) — the destination point. Output For each test case, print the single integer — the minimum number of jumps to reach x. It can be proved that we can reach any integer point x. Example Input 5 1 2 3 4 5 Output 1 3 2 3 4 Note In the first test case x = 1, so you need only one jump: the 1-st jump from 0 to 0 + 1 = 1. In the second test case x = 2. You need at least three jumps: * the 1-st jump from 0 to 0 + 1 = 1; * the 2-nd jump from 1 to 1 + 2 = 3; * the 3-rd jump from 3 to 3 - 1 = 2; Two jumps are not enough because these are the only possible variants: * the 1-st jump as -1 and the 2-nd one as -1 — you'll reach 0 -1 -1 =-2; * the 1-st jump as -1 and the 2-nd one as +2 — you'll reach 0 -1 +2 = 1; * the 1-st jump as +1 and the 2-nd one as -1 — you'll reach 0 +1 -1 = 0; * the 1-st jump as +1 and the 2-nd one as +2 — you'll reach 0 +1 +2 = 3; In the third test case, you need two jumps: the 1-st one as +1 and the 2-nd one as +2, so 0 + 1 + 2 = 3. In the fourth test case, you need three jumps: the 1-st one as -1, the 2-nd one as +2 and the 3-rd one as +3, so 0 - 1 + 2 + 3 = 4. ### Input: 5 1 2 3 4 5 ### Output: 1 3 2 3 4 ### Input: 1 8627 ### Output: 131 ### Code: t = int(input()) for i in range(t): n = int(input()) i=1 sum=0 cnt=0 while sum<n: sum+=i cnt+=1 i+=1 if sum==n or sum-n>1: print(cnt) else: print(cnt+1)
1479_C. Continuous City_34893
Some time ago Homer lived in a beautiful city. There were n blocks numbered from 1 to n and m directed roads between them. Each road had a positive length, and each road went from the block with the smaller index to the block with the larger index. For every two (different) blocks, there was at most one road between them. Homer discovered that for some two numbers L and R the city was (L, R)-continuous. The city is said to be (L, R)-continuous, if 1. all paths from block 1 to block n are of length between L and R (inclusive); and 2. for every L ≤ d ≤ R, there is exactly one path from block 1 to block n whose length is d. A path from block u to block v is a sequence u = x_0 → x_1 → x_2 → ... → x_k = v, where there is a road from block x_{i-1} to block x_{i} for every 1 ≤ i ≤ k. The length of a path is the sum of lengths over all roads in the path. Two paths x_0 → x_1 → ... → x_k and y_0 → y_1 → ... → y_l are different, if k ≠ l or x_i ≠ y_i for some 0 ≤ i ≤ min\\{k, l\}. After moving to another city, Homer only remembers the two special numbers L and R but forgets the numbers n and m of blocks and roads, respectively, and how blocks are connected by roads. However, he believes the number of blocks should be no larger than 32 (because the city was small). As the best friend of Homer, please tell him whether it is possible to find a (L, R)-continuous city or not. Input The single line contains two integers L and R (1 ≤ L ≤ R ≤ 10^6). Output If it is impossible to find a (L, R)-continuous city within 32 blocks, print "NO" in a single line. Otherwise, print "YES" in the first line followed by a description of a (L, R)-continuous city. The second line should contain two integers n (2 ≤ n ≤ 32) and m (1 ≤ m ≤ \frac {n(n-1)} 2), where n denotes the number of blocks and m denotes the number of roads. Then m lines follow. The i-th of the m lines should contain three integers a_i, b_i (1 ≤ a_i < b_i ≤ n) and c_i (1 ≤ c_i ≤ 10^6) indicating that there is a directed road from block a_i to block b_i of length c_i. It is required that for every two blocks, there should be no more than 1 road connecting them. That is, for every 1 ≤ i < j ≤ m, either a_i ≠ a_j or b_i ≠ b_j. Examples Input 1 1 Output YES 2 1 1 2 1 Input 4 6 Output YES 5 6 1 2 3 1 3 4 1 4 5 2 5 1 3 5 1 4 5 1 Note In the first example there is only one path from block 1 to block n = 2, and its length is 1. In the second example there are three paths from block 1 to block n = 5, which are 1 → 2 → 5 of length 4, 1 → 3 → 5 of length 5 and 1 → 4 → 5 of length 6.
import sys input = sys.stdin.readline l,r=map(int,input().split()) dif=r-l+1 print("YES") n=2 while 2**(n-2)<dif:n+=1 edges=[] for i in range(n-2): for j in range(i+1,n-1): if i==0: edges.append([1,j+1,1]) else: edges.append([i+1,j+1,2**(i-1)]) mx=l-1 i=1 if mx==0 or dif==2**(n-2): edges.append([1,n,mx+1]) mx+=1 dif-=1 while dif: if dif%2: edges.append([i+1,n,mx]) mx+=2**(i-1) dif//=2 i+=1 print(n,len(edges)) for e in edges: print(*e)
{ "input": [ "1 1\n", "4 6\n", "513046 890344\n", "313494 380485\n", "8 1111\n", "4 6\n", "629174 772908\n", "796022 947509\n", "1 1\n", "146646 441366\n", "111111 999999\n", "1024 525311\n", "789456 987654\n", "879446 962440\n", "405440 719265\n", "230070 951173\n", "8519 843645\n", "1000000 1000000\n", "1 6\n", "679894 713034\n", "1 1000000\n", "123456 567890\n", "396918 765269\n", "513046 605732\n", "8 0111\n", "184218 772908\n", "796022 1377695\n", "146646 345536\n", "111111 1974024\n", "1024 119257\n", "879446 1225690\n", "698556 719265\n", "257602 951173\n", "408 843645\n", "1000000 1001000\n", "2 1000000\n", "123456 241489\n", "396918 1036279\n", "3 6\n", "109365 772908\n", "904303 1377695\n", "102603 345536\n", "110111 1974024\n", "1024 154702\n", "879446 1732548\n", "698556 1364047\n", "286870 951173\n", "423 843645\n", "1000000 1001100\n", "2 1000010\n", "123456 479147\n", "325244 1036279\n", "3 5\n", "150875 772908\n", "904303 2345432\n", "102603 363976\n", "111011 1974024\n", "1024 1112\n", "879446 2740099\n", "1264506 1364047\n", "223776 951173\n", "536 843645\n", "2 1100010\n", "124761 479147\n", "626126 1036279\n", "281091 772908\n", "1463277 2345432\n", "102603 382033\n", "011011 1974024\n", "1728473 2740099\n", "946600 1364047\n", "48082 951173\n", "91 843645\n", "2 1110010\n", "124761 645917\n", "124982 1036279\n", "281091 379150\n", "2160799 2345432\n", "102603 387878\n", "011011 2031548\n", "1632585 2740099\n", "946600 1646787\n", "36654 951173\n", "91 335716\n", "2 1111010\n", "124761 1001059\n", "124911 1036279\n", "1421968 2345432\n", "102603 763448\n", "011011 14120\n", "1011000 2740099\n", "946600 987384\n", "36654 1500668\n", "91 238516\n", "2 1111000\n", "246761 1001059\n", "124911 972271\n", "1421968 1972673\n", "102603 465746\n", "011111 14120\n", "31909 1500668\n", "151 238516\n", "2 1111100\n", "246761 1702328\n", "22328 972271\n", "980814 1972673\n", "34608 465746\n", "36384 1500668\n", "68 238516\n", "2 1111110\n", "241226 1702328\n", "41702 972271\n", "66583 1972673\n", "34608 846321\n", "19989 1500668\n", "136 238516\n", "2 1110110\n", "241226 747426\n", "12860 972271\n", "48263 1972673\n", "21532 846321\n", "19989 1862898\n", "136 46874\n", "2 1110100\n", "241226 314332\n", "22331 972271\n", "53889 1972673\n", "21532 1243727\n", "19989 1044080\n", "231 46874\n", "2 0110100\n", "45040 314332\n", "22331 509510\n", "69974 1972673\n", "8548 1243727\n", "19989 87289\n", "231 88537\n", "3 0110100\n", "45040 108759\n", "22331 916444\n", "107340 1972673\n", "15911 1243727\n", "231 81977\n", "2 0100100\n", "39948 108759\n", "22331 433759\n", "865 1972673\n", "28628 1243727\n", "231 89149\n", "2 0000100\n", "52771 108759\n", "865 1377257\n", "20362 1243727\n", "231 3131\n", "1 0000100\n", "60225 108759\n", "10524 1243727\n", "298 3131\n", "86416 108759\n", "18290 1243727\n", "298 4172\n", "86416 195800\n", "2277 1243727\n", "337 4172\n", "158935 195800\n", "2277 320738\n", "579 4172\n", "158935 228580\n", "2277 581234\n", "175 4172\n", "158935 374062\n", "562 581234\n", "314 4172\n", "213818 374062\n", "952 581234\n", "309 4172\n", "1823 581234\n", "431 4172\n", "1823 550504\n", "431 2916\n", "2048 550504\n", "483 2916\n", "2048 1032128\n", "947 2916\n", "1734 1032128\n", "947 3168\n", "2894 1032128\n", "1776 3168\n", "2894 622650\n", "2489 622650\n", "960 622650\n", "960 1000302\n", "211 1000302\n", "211 1045051\n", "96 1045051\n", "96 1056481\n", "156 1056481\n", "156 532029\n", "258 532029\n", "337 532029\n", "337 52003\n", "337 88589\n", "337 89084\n", "337 162747\n", "558 162747\n", "558 257216\n", "558 109338\n", "558 210715\n", "558 48072\n", "558 7348\n", "558 3565\n", "558 3314\n", "513046 1365673\n", "5 1111\n", "629174 952536\n", "1 2\n", "119154 441366\n", "111111 134301\n", "1024 283613\n", "879446 898758\n", "405440 818463\n", "158903 951173\n", "10058 843645\n" ], "output": [ "\nYES\n2 1\n1 2 1\n", "\nYES\n5 6\n1 2 3\n1 3 4\n1 4 5\n2 5 1\n3 5 1\n4 5 1\n", "YES\n22 201\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n20 164\n19 20 1\n18 20 1\n18 19 1\n17 20 1\n17 18 2\n17 19 1\n16 20 1\n16 17 4\n16 18 2\n16 19 1\n15 20 1\n15 16 8\n15 17 4\n15 18 2\n15 19 1\n14 20 1\n14 15 16\n14 16 8\n14 17 4\n14 18 2\n14 19 1\n13 20 1\n13 14 32\n13 15 16\n13 16 8\n13 17 4\n13 18 2\n13 19 1\n12 20 1\n12 13 64\n12 14 32\n12 15 16\n12 16 8\n12 17 4\n12 18 2\n12 19 1\n11 20 1\n11 12 128\n11 13 64\n11 14 32\n11 15 16\n11 16 8\n11 17 4\n11 18 2\n11 19 1\n10 20 1\n10 11 256\n10 12 128\n10 13 64\n10 14 32\n10 15 16\n10 16 8\n10 17 4\n10 ...", "YES\n14 74\n13 14 1\n12 14 1\n12 13 1\n11 14 1\n11 12 2\n11 13 1\n10 14 1\n10 11 4\n10 12 2\n10 13 1\n9 14 1\n9 10 8\n9 11 4\n9 12 2\n9 13 1\n8 14 1\n8 9 16\n8 10 8\n8 11 4\n8 12 2\n8 13 1\n7 14 1\n7 8 32\n7 9 16\n7 10 8\n7 11 4\n7 12 2\n7 13 1\n6 14 1\n6 7 64\n6 8 32\n6 9 16\n6 10 8\n6 11 4\n6 12 2\n6 13 1\n5 14 1\n5 6 128\n5 7 64\n5 8 32\n5 9 16\n5 10 8\n5 11 4\n5 12 2\n5 13 1\n4 14 1\n4 5 256\n4 6 128\n4 7 64\n4 8 32\n4 9 16\n4 10 8\n4 11 4\n4 12 2\n4 13 1\n3 14 1\n3 4 512\n3 5 256\n3 6 128\n3 7 64\n3 8...", "YES\n5 6\n4 5 1\n3 5 1\n3 4 1\n2 3 1\n2 5 1\n1 2 3\n", "YES\n21 182\n20 21 1\n19 21 1\n19 20 1\n18 21 1\n18 19 2\n18 20 1\n17 21 1\n17 18 4\n17 19 2\n17 20 1\n16 21 1\n16 17 8\n16 18 4\n16 19 2\n16 20 1\n15 21 1\n15 16 16\n15 17 8\n15 18 4\n15 19 2\n15 20 1\n14 21 1\n14 15 32\n14 16 16\n14 17 8\n14 18 4\n14 19 2\n14 20 1\n13 21 1\n13 14 64\n13 15 32\n13 16 16\n13 17 8\n13 18 4\n13 19 2\n13 20 1\n12 21 1\n12 13 128\n12 14 64\n12 15 32\n12 16 16\n12 17 8\n12 18 4\n12 19 2\n12 20 1\n11 21 1\n11 12 256\n11 13 128\n11 14 64\n11 15 32\n11 16 16\n11 17 8\n11 18 4\n11 ...", "YES\n21 186\n20 21 1\n19 21 1\n19 20 1\n18 21 1\n18 19 2\n18 20 1\n17 21 1\n17 18 4\n17 19 2\n17 20 1\n16 21 1\n16 17 8\n16 18 4\n16 19 2\n16 20 1\n15 21 1\n15 16 16\n15 17 8\n15 18 4\n15 19 2\n15 20 1\n14 21 1\n14 15 32\n14 16 16\n14 17 8\n14 18 4\n14 19 2\n14 20 1\n13 21 1\n13 14 64\n13 15 32\n13 16 16\n13 17 8\n13 18 4\n13 19 2\n13 20 1\n12 21 1\n12 13 128\n12 14 64\n12 15 32\n12 16 16\n12 17 8\n12 18 4\n12 19 2\n12 20 1\n11 21 1\n11 12 256\n11 13 128\n11 14 64\n11 15 32\n11 16 16\n11 17 8\n11 18 4\n11 ...", "YES\n3 2\n2 3 1\n1 3 1\n", "YES\n22 201\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n23 220\n22 23 1\n21 23 1\n21 22 1\n20 23 1\n20 21 2\n20 22 1\n19 23 1\n19 20 4\n19 21 2\n19 22 1\n18 23 1\n18 19 8\n18 20 4\n18 21 2\n18 22 1\n17 23 1\n17 18 16\n17 19 8\n17 20 4\n17 21 2\n17 22 1\n16 23 1\n16 17 32\n16 18 16\n16 19 8\n16 20 4\n16 21 2\n16 22 1\n15 23 1\n15 16 64\n15 17 32\n15 18 16\n15 19 8\n15 20 4\n15 21 2\n15 22 1\n14 23 1\n14 15 128\n14 16 64\n14 17 32\n14 18 16\n14 19 8\n14 20 4\n14 21 2\n14 22 1\n13 23 1\n13 14 256\n13 15 128\n13 16 64\n13 17 32\n13 18 16\n13 19 8\n13 20 4\n13 ...", "YES\n22 211\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n21 181\n20 21 1\n19 21 1\n19 20 1\n18 21 1\n18 19 2\n18 20 1\n17 21 1\n17 18 4\n17 19 2\n17 20 1\n16 21 1\n16 17 8\n16 18 4\n16 19 2\n16 20 1\n15 21 1\n15 16 16\n15 17 8\n15 18 4\n15 19 2\n15 20 1\n14 21 1\n14 15 32\n14 16 16\n14 17 8\n14 18 4\n14 19 2\n14 20 1\n13 21 1\n13 14 64\n13 15 32\n13 16 16\n13 17 8\n13 18 4\n13 19 2\n13 20 1\n12 21 1\n12 13 128\n12 14 64\n12 15 32\n12 16 16\n12 17 8\n12 18 4\n12 19 2\n12 20 1\n11 21 1\n11 12 256\n11 13 128\n11 14 64\n11 15 32\n11 16 16\n11 17 8\n11 18 4\n11 ...", "YES\n20 161\n19 20 1\n18 20 1\n18 19 1\n17 20 1\n17 18 2\n17 19 1\n16 20 1\n16 17 4\n16 18 2\n16 19 1\n15 20 1\n15 16 8\n15 17 4\n15 18 2\n15 19 1\n14 20 1\n14 15 16\n14 16 8\n14 17 4\n14 18 2\n14 19 1\n13 20 1\n13 14 32\n13 15 16\n13 16 8\n13 17 4\n13 18 2\n13 19 1\n12 20 1\n12 13 64\n12 14 32\n12 15 16\n12 16 8\n12 17 4\n12 18 2\n12 19 1\n11 20 1\n11 12 128\n11 13 64\n11 14 32\n11 15 16\n11 16 8\n11 17 4\n11 18 2\n11 19 1\n10 20 1\n10 11 256\n10 12 128\n10 13 64\n10 14 32\n10 15 16\n10 16 8\n10 17 4\n10 ...", "YES\n22 201\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n23 221\n22 23 1\n21 23 1\n21 22 1\n20 23 1\n20 21 2\n20 22 1\n19 23 1\n19 20 4\n19 21 2\n19 22 1\n18 23 1\n18 19 8\n18 20 4\n18 21 2\n18 22 1\n17 23 1\n17 18 16\n17 19 8\n17 20 4\n17 21 2\n17 22 1\n16 23 1\n16 17 32\n16 18 16\n16 19 8\n16 20 4\n16 21 2\n16 22 1\n15 23 1\n15 16 64\n15 17 32\n15 18 16\n15 19 8\n15 20 4\n15 21 2\n15 22 1\n14 23 1\n14 15 128\n14 16 64\n14 17 32\n14 18 16\n14 19 8\n14 20 4\n14 21 2\n14 22 1\n13 23 1\n13 14 256\n13 15 128\n13 16 64\n13 17 32\n13 18 16\n13 19 8\n13 20 4\n13 ...", "YES\n23 224\n22 23 1\n21 23 1\n21 22 1\n20 23 1\n20 21 2\n20 22 1\n19 23 1\n19 20 4\n19 21 2\n19 22 1\n18 23 1\n18 19 8\n18 20 4\n18 21 2\n18 22 1\n17 23 1\n17 18 16\n17 19 8\n17 20 4\n17 21 2\n17 22 1\n16 23 1\n16 17 32\n16 18 16\n16 19 8\n16 20 4\n16 21 2\n16 22 1\n15 23 1\n15 16 64\n15 17 32\n15 18 16\n15 19 8\n15 20 4\n15 21 2\n15 22 1\n14 23 1\n14 15 128\n14 16 64\n14 17 32\n14 18 16\n14 19 8\n14 20 4\n14 21 2\n14 22 1\n13 23 1\n13 14 256\n13 15 128\n13 16 64\n13 17 32\n13 18 16\n13 19 8\n13 20 4\n13 ...", "YES\n4 3\n3 4 1\n2 4 1\n1 2 999999\n", "YES\n5 9\n4 5 1\n3 5 1\n3 4 1\n2 5 1\n2 3 2\n2 4 1\n1 4 1\n1 2 2\n1 5 1\n", "YES\n19 144\n18 19 1\n17 19 1\n17 18 1\n16 19 1\n16 17 2\n16 18 1\n15 19 1\n15 16 4\n15 17 2\n15 18 1\n14 19 1\n14 15 8\n14 16 4\n14 17 2\n14 18 1\n13 19 1\n13 14 16\n13 15 8\n13 16 4\n13 17 2\n13 18 1\n12 19 1\n12 13 32\n12 14 16\n12 15 8\n12 16 4\n12 17 2\n12 18 1\n11 19 1\n11 12 64\n11 13 32\n11 14 16\n11 15 8\n11 16 4\n11 17 2\n11 18 1\n10 19 1\n10 11 128\n10 12 64\n10 13 32\n10 14 16\n10 15 8\n10 16 4\n10 17 2\n10 18 1\n9 19 1\n9 10 256\n9 11 128\n9 12 64\n9 13 32\n9 14 16\n9 15 8\n9 16 4\n9 17 2\n9 1...", "YES\n22 223\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n22 199\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n22 206\n21 22 1\n20 22 1\n20 21 1\n19 22 1\n19 20 2\n19 21 1\n18 22 1\n18 19 4\n18 20 2\n18 21 1\n17 22 1\n17 18 8\n17 19 4\n17 20 2\n17 21 1\n16 22 1\n16 17 16\n16 18 8\n16 19 4\n16 20 2\n16 21 1\n15 22 1\n15 16 32\n15 17 16\n15 18 8\n15 19 4\n15 20 2\n15 21 1\n14 22 1\n14 15 64\n14 16 32\n14 17 16\n14 18 8\n14 19 4\n14 20 2\n14 21 1\n13 22 1\n13 14 128\n13 15 64\n13 16 32\n13 17 16\n13 18 8\n13 19 4\n13 20 2\n13 21 1\n12 22 1\n12 13 256\n12 14 128\n12 15 64\n12 16 32\n12 17 16\n12 18 8\n12 19 4\n12 ...", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 92685\n4 19 92681\n5 19 92673\n11 19 92161\n13 19 90113\n15 19 81921\n16 19 65537\n18 19 1\n19 20 513045\n", "YES\n10 35\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 103\n3 9 101\n4 9 97\n7 9 65\n8 9 1\n9 10 7\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 588689\n6 22 588673\n9 22 588545\n10 22 588289\n11 22 587777\n13 22 585729\n14 22 581633\n15 22 573441\n16 22 557057\n17 22 524289\n21 22 1\n22 23 184217\n", "YES\n23 219\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 581673\n5 22 581665\n7 22 581633\n15 22 573441\n16 22 557057\n17 22 524289\n21 22 1\n22 23 796021\n", "YES\n21 181\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n3 20 198889\n5 20 198881\n7 20 198849\n8 20 198785\n9 20 198657\n13 20 196609\n18 20 131073\n19 20 1\n20 21 146645\n", "YES\n24 242\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1862913\n10 23 1862657\n12 23 1861633\n13 23 1859585\n15 23 1851393\n16 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 111110\n", "YES\n20 166\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 118233\n5 19 118225\n6 19 118209\n8 19 118145\n9 19 118017\n10 19 117761\n12 19 116737\n13 19 114689\n16 19 98305\n17 19 65537\n18 19 1\n19 20 1023\n", "YES\n22 198\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n4 21 346241\n9 21 346113\n13 21 344065\n16 21 327681\n18 21 262145\n20 21 1\n21 22 879445\n", "YES\n18 129\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 20709\n4 17 20705\n7 17 20673\n8 17 20609\n9 17 20481\n14 17 16385\n16 17 1\n17 18 698555\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 693571\n3 22 693569\n8 22 693505\n10 22 693249\n12 22 692225\n14 22 688129\n17 22 655361\n19 22 524289\n21 22 1\n22 23 257601\n", "YES\n23 225\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 843237\n4 22 843233\n7 22 843201\n8 22 843137\n9 22 843009\n10 22 842753\n12 22 841729\n13 22 839681\n14 22 835585\n16 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 407\n", "YES\n13 63\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n5 12 993\n7 12 961\n8 12 897\n9 12 769\n10 12 513\n11 12 1\n12 13 999999\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 999997\n4 22 999993\n5 22 999985\n6 22 999969\n7 22 999937\n11 22 999425\n16 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 1\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 118033\n6 19 118017\n10 19 117761\n12 19 116737\n13 19 114689\n16 19 98305\n17 19 65537\n18 19 1\n19 20 123455\n", "YES\n23 219\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 639361\n9 22 639233\n10 22 638977\n16 22 622593\n17 22 589825\n18 22 524289\n21 22 1\n22 23 396917\n", "YES\n5 7\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n4 5 2\n", "YES\n23 226\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 663543\n3 22 663541\n4 22 663537\n6 22 663521\n7 22 663489\n8 22 663425\n9 22 663297\n10 22 663041\n11 22 662529\n12 22 661505\n13 22 659457\n14 22 655361\n19 22 524289\n21 22 1\n22 23 109364\n", "YES\n22 201\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n6 21 473377\n7 21 473345\n10 21 473089\n13 21 471041\n14 21 466945\n15 21 458753\n18 21 393217\n19 21 262145\n20 21 1\n21 22 904302\n", "YES\n21 185\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 242933\n4 20 242929\n6 20 242913\n7 20 242881\n8 20 242817\n9 20 242689\n12 20 241665\n14 20 237569\n15 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 102602\n", "YES\n24 244\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1863913\n5 23 1863905\n7 23 1863873\n8 23 1863809\n9 23 1863681\n14 23 1859585\n15 23 1851393\n16 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 110110\n", "YES\n21 181\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n3 20 153677\n4 20 153673\n5 20 153665\n8 20 153601\n13 20 151553\n14 20 147457\n16 20 131073\n19 20 1\n20 21 1023\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 853101\n4 22 853097\n5 22 853089\n7 22 853057\n8 22 852993\n12 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 879445\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 665491\n3 22 665489\n6 22 665473\n9 22 665345\n10 22 665089\n11 22 664577\n12 22 663553\n15 22 655361\n19 22 524289\n21 22 1\n22 23 698555\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 664303\n3 22 664301\n4 22 664297\n5 22 664289\n7 22 664257\n8 22 664193\n9 22 664065\n11 22 663553\n15 22 655361\n19 22 524289\n21 22 1\n22 23 286869\n", "YES\n23 225\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 843221\n4 22 843217\n6 22 843201\n8 22 843137\n9 22 843009\n10 22 842753\n12 22 841729\n13 22 839681\n14 22 835585\n16 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 422\n", "YES\n14 72\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n4 13 1097\n5 13 1089\n8 13 1025\n12 13 1\n13 14 999999\n", "YES\n23 220\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n5 22 1000001\n8 22 999937\n11 22 999425\n16 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 1\n", "YES\n22 204\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 355691\n3 21 355689\n5 21 355681\n7 21 355649\n8 21 355585\n10 21 355329\n12 21 354305\n13 21 352257\n15 21 344065\n16 21 327681\n18 21 262145\n20 21 1\n21 22 123455\n", "YES\n23 225\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 711035\n3 22 711033\n5 22 711025\n6 22 711009\n7 22 710977\n8 22 710913\n10 22 710657\n13 22 708609\n14 22 704513\n16 22 688129\n17 22 655361\n19 22 524289\n21 22 1\n22 23 325243\n", "YES\n5 6\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n3 4 1\n4 5 2\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 622033\n6 22 622017\n8 22 621953\n9 22 621825\n10 22 621569\n12 22 620545\n13 22 618497\n14 22 614401\n15 22 606209\n16 22 589825\n18 22 524289\n21 22 1\n22 23 150874\n", "YES\n24 247\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1441129\n5 23 1441121\n7 23 1441089\n8 23 1441025\n10 23 1440769\n12 23 1439745\n13 23 1437697\n14 23 1433601\n15 23 1425409\n16 23 1409025\n17 23 1376257\n18 23 1310721\n20 23 1048577\n22 23 1\n23 24 904302\n", "YES\n21 188\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 261373\n4 20 261369\n5 20 261361\n6 20 261345\n7 20 261313\n8 20 261249\n9 20 261121\n12 20 260097\n13 20 258049\n14 20 253953\n15 20 245761\n16 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 102602\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1863013\n4 23 1863009\n7 23 1862977\n8 23 1862913\n10 23 1862657\n12 23 1861633\n13 23 1859585\n15 23 1851393\n16 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 111010\n", "YES\n10 33\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n5 9 81\n6 9 65\n8 9 1\n9 10 1023\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1860653\n4 23 1860649\n5 23 1860641\n7 23 1860609\n12 23 1859585\n15 23 1851393\n16 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 879445\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 99541\n4 19 99537\n6 19 99521\n8 19 99457\n9 19 99329\n12 19 98305\n17 19 65537\n18 19 1\n19 20 1264505\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 727397\n4 22 727393\n7 22 727361\n8 22 727297\n10 22 727041\n13 22 724993\n14 22 720897\n18 22 655361\n19 22 524289\n21 22 1\n22 23 223775\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 843109\n4 22 843105\n7 22 843073\n8 22 843009\n10 22 842753\n12 22 841729\n13 22 839681\n14 22 835585\n16 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 535\n", "YES\n24 241\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n5 23 1100001\n7 23 1099969\n8 23 1099905\n9 23 1099777\n13 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n22 200\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n3 21 354385\n6 21 354369\n8 21 354305\n13 21 352257\n15 21 344065\n16 21 327681\n18 21 262145\n20 21 1\n21 22 124760\n", "YES\n22 199\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 410153\n5 21 410145\n7 21 410113\n11 21 409601\n16 21 393217\n19 21 262145\n20 21 1\n21 22 626125\n", "YES\n22 200\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 491817\n5 21 491809\n7 21 491777\n10 21 491521\n17 21 458753\n18 21 393217\n19 21 262145\n20 21 1\n21 22 281090\n", "YES\n23 226\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 882155\n3 22 882153\n5 22 882145\n7 22 882113\n8 22 882049\n9 22 881921\n10 22 881665\n12 22 880641\n14 22 876545\n15 22 868353\n16 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 1463276\n", "YES\n22 199\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n3 21 279429\n4 21 279425\n9 21 279297\n10 21 279041\n11 21 278529\n16 21 262145\n20 21 1\n21 22 102602\n", "YES\n24 244\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1963013\n4 23 1963009\n12 23 1961985\n14 23 1957889\n15 23 1949697\n16 23 1933313\n17 23 1900545\n18 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 11010\n", "YES\n23 226\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 1011625\n5 22 1011617\n7 22 1011585\n9 22 1011457\n10 22 1011201\n11 22 1010689\n12 22 1009665\n13 22 1007617\n15 22 999425\n16 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 1728472\n", "YES\n22 204\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 417447\n3 21 417445\n4 21 417441\n7 21 417409\n9 21 417281\n11 21 416769\n12 21 415745\n13 21 413697\n14 21 409601\n16 21 393217\n19 21 262145\n20 21 1\n21 22 946599\n", "YES\n23 225\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 903091\n3 22 903089\n6 22 903073\n7 22 903041\n9 22 902913\n10 22 902657\n11 22 902145\n12 22 901121\n16 22 884737\n17 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 48081\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 843553\n7 22 843521\n10 22 843265\n11 22 842753\n12 22 841729\n13 22 839681\n14 22 835585\n16 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 90\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n5 23 1110001\n6 23 1109985\n7 23 1109953\n8 23 1109889\n9 23 1109761\n10 23 1109505\n11 23 1108993\n12 23 1107969\n13 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n22 204\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n4 21 521153\n8 21 521089\n9 21 520961\n10 21 520705\n11 21 520193\n14 21 516097\n15 21 507905\n16 21 491521\n17 21 458753\n18 21 393217\n19 21 262145\n20 21 1\n21 22 124760\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 911297\n8 22 911233\n9 22 911105\n10 22 910849\n11 22 910337\n12 22 909313\n15 22 901121\n16 22 884737\n17 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 124981\n", "YES\n20 166\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 98059\n3 19 98057\n5 19 98049\n10 19 97793\n11 19 97281\n12 19 96257\n13 19 94209\n14 19 90113\n15 19 81921\n16 19 65537\n18 19 1\n19 20 281090\n", "YES\n21 182\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 184633\n5 20 184625\n6 20 184609\n7 20 184577\n10 20 184321\n14 20 180225\n16 20 163841\n17 20 131073\n19 20 1\n20 21 2160798\n", "YES\n22 202\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 285275\n3 21 285273\n5 21 285265\n6 21 285249\n8 21 285185\n11 21 284673\n13 21 282625\n14 21 278529\n16 21 262145\n20 21 1\n21 22 102602\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 2020537\n5 23 2020529\n6 23 2020513\n7 23 2020481\n9 23 2020353\n12 23 2019329\n14 23 2015233\n16 23 1998849\n17 23 1966081\n19 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 11010\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1107513\n5 23 1107505\n6 23 1107489\n7 23 1107457\n11 23 1106945\n12 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1632584\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 700187\n3 22 700185\n5 22 700177\n6 22 700161\n10 22 699905\n11 22 699393\n12 22 698369\n13 22 696321\n15 22 688129\n17 22 655361\n19 22 524289\n21 22 1\n22 23 946599\n", "YES\n23 225\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 914519\n3 22 914517\n4 22 914513\n6 22 914497\n8 22 914433\n12 22 913409\n14 22 909313\n15 22 901121\n16 22 884737\n17 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 36653\n", "YES\n22 201\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 335625\n5 21 335617\n10 21 335361\n11 21 334849\n12 21 333825\n13 21 331777\n14 21 327681\n18 21 262145\n20 21 1\n21 22 90\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n7 23 1110977\n8 23 1110913\n9 23 1110785\n10 23 1110529\n11 23 1110017\n14 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 876297\n5 22 876289\n10 22 876033\n11 22 875521\n12 22 874497\n13 22 872449\n14 22 868353\n16 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 124760\n", "YES\n23 220\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n5 22 911361\n13 22 909313\n15 22 901121\n16 22 884737\n17 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 124910\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n5 22 923457\n8 22 923393\n10 22 923137\n11 22 922625\n12 22 921601\n14 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 1421967\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 660845\n4 22 660841\n5 22 660833\n7 22 660801\n8 22 660737\n10 22 660481\n12 22 659457\n14 22 655361\n19 22 524289\n21 22 1\n22 23 102602\n", "YES\n15 85\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3109\n4 14 3105\n7 14 3073\n12 14 2049\n13 14 1\n14 15 11010\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1729099\n3 23 1729097\n5 23 1729089\n8 23 1729025\n11 23 1728513\n15 23 1720321\n16 23 1703937\n19 23 1572865\n21 23 1048577\n22 23 1\n23 24 1010999\n", "YES\n19 146\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n6 18 40769\n8 18 40705\n10 18 40449\n11 18 39937\n12 18 38913\n13 18 36865\n14 18 32769\n17 18 1\n18 19 946599\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1464013\n4 23 1464009\n5 23 1464001\n8 23 1463937\n9 23 1463809\n11 23 1463297\n12 23 1462273\n14 23 1458177\n16 23 1441793\n19 23 1310721\n20 23 1048577\n22 23 1\n23 24 36653\n", "YES\n21 183\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 238425\n5 20 238417\n6 20 238401\n8 20 238337\n10 20 238081\n11 20 237569\n15 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 90\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1110997\n4 23 1110993\n6 23 1110977\n8 23 1110913\n9 23 1110785\n10 23 1110529\n11 23 1110017\n14 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 754297\n5 22 754289\n6 22 754273\n7 22 754241\n8 22 754177\n11 22 753665\n17 22 720897\n18 22 655361\n19 22 524289\n21 22 1\n22 23 246760\n", "YES\n23 220\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n11 22 846849\n12 22 845825\n13 22 843777\n15 22 835585\n16 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 124910\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 550705\n6 22 550689\n7 22 550657\n10 22 550401\n11 22 549889\n12 22 548865\n15 22 540673\n16 22 524289\n21 22 1\n22 23 1421967\n", "YES\n22 201\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 363143\n3 21 363141\n4 21 363137\n9 21 363009\n11 21 362497\n13 21 360449\n17 21 327681\n18 21 262145\n20 21 1\n21 22 102602\n", "YES\n15 86\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3009\n8 14 2945\n9 14 2817\n10 14 2561\n11 14 2049\n13 14 1\n14 15 11110\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1468759\n3 23 1468757\n4 23 1468753\n6 23 1468737\n8 23 1468673\n10 23 1468417\n13 23 1466369\n15 23 1458177\n16 23 1441793\n19 23 1310721\n20 23 1048577\n22 23 1\n23 24 31908\n", "YES\n21 183\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 238365\n4 20 238361\n5 20 238353\n6 20 238337\n10 20 238081\n11 20 237569\n15 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 150\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1111097\n5 23 1111089\n6 23 1111073\n7 23 1111041\n12 23 1110017\n14 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1455567\n3 23 1455565\n4 23 1455561\n5 23 1455553\n8 23 1455489\n9 23 1455361\n10 23 1455105\n12 23 1454081\n14 23 1449985\n15 23 1441793\n19 23 1310721\n20 23 1048577\n22 23 1\n23 24 246760\n", "YES\n23 227\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 949943\n3 22 949941\n4 22 949937\n6 22 949921\n7 22 949889\n9 22 949761\n11 22 949249\n12 22 948225\n13 22 946177\n14 22 942081\n15 22 933889\n16 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 22327\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 991859\n3 22 991857\n6 22 991841\n7 22 991809\n8 22 991745\n11 22 991233\n15 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 980813\n", "YES\n22 199\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n3 21 431137\n7 21 431105\n12 21 430081\n14 21 425985\n17 21 393217\n19 21 262145\n20 21 1\n21 22 34607\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n4 23 1464281\n5 23 1464273\n6 23 1464257\n8 23 1464193\n9 23 1464065\n10 23 1463809\n11 23 1463297\n12 23 1462273\n14 23 1458177\n16 23 1441793\n19 23 1310721\n20 23 1048577\n22 23 1\n23 24 36383\n", "YES\n21 182\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n6 20 238433\n7 20 238401\n8 20 238337\n10 20 238081\n11 20 237569\n15 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 67\n", "YES\n24 241\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n4 23 1111105\n8 23 1111041\n12 23 1110017\n14 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1461101\n4 23 1461097\n5 23 1461089\n7 23 1461057\n8 23 1460993\n10 23 1460737\n11 23 1460225\n13 23 1458177\n16 23 1441793\n19 23 1310721\n20 23 1048577\n22 23 1\n23 24 241225\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 930569\n5 22 930561\n10 22 930305\n11 22 929793\n14 22 925697\n15 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 41701\n", "YES\n24 244\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1906089\n5 23 1906081\n7 23 1906049\n9 23 1905921\n10 23 1905665\n12 23 1904641\n14 23 1900545\n18 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 66582\n", "YES\n23 220\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 811713\n8 22 811649\n9 22 811521\n11 22 811009\n15 22 802817\n16 22 786433\n20 22 524289\n21 22 1\n22 23 34607\n", "YES\n24 247\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1480679\n3 23 1480677\n4 23 1480673\n7 23 1480641\n8 23 1480577\n9 23 1480449\n10 23 1480193\n11 23 1479681\n12 23 1478657\n14 23 1474561\n17 23 1441793\n19 23 1310721\n20 23 1048577\n22 23 1\n23 24 19988\n", "YES\n21 182\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n4 20 238377\n5 20 238369\n7 20 238337\n10 20 238081\n11 20 237569\n15 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 135\n", "YES\n24 242\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n4 23 1110105\n5 23 1110097\n6 23 1110081\n8 23 1110017\n14 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n22 203\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n5 21 506193\n6 21 506177\n8 21 506113\n10 21 505857\n13 21 503809\n14 21 499713\n15 21 491521\n17 21 458753\n18 21 393217\n19 21 262145\n20 21 1\n21 22 241225\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 959411\n3 22 959409\n6 22 959393\n7 22 959361\n9 22 959233\n10 22 958977\n11 22 958465\n15 22 950273\n17 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 12859\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1924409\n5 23 1924401\n6 23 1924385\n7 23 1924353\n10 23 1924097\n12 23 1923073\n13 23 1921025\n14 23 1916929\n16 23 1900545\n18 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 48262\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 824789\n4 22 824785\n6 22 824769\n8 22 824705\n9 22 824577\n10 22 824321\n12 22 823297\n14 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 21531\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1842909\n4 23 1842905\n5 23 1842897\n6 23 1842881\n8 23 1842817\n9 23 1842689\n11 23 1842177\n12 23 1841153\n13 23 1839105\n14 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 19988\n", "YES\n19 146\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n3 18 46737\n6 18 46721\n9 18 46593\n11 18 46081\n12 18 45057\n14 18 40961\n15 18 32769\n17 18 1\n18 19 135\n", "YES\n24 241\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1110097\n6 23 1110081\n8 23 1110017\n14 23 1105921\n15 23 1097729\n16 23 1081345\n17 23 1048577\n22 23 1\n23 24 1\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 73105\n6 19 73089\n9 19 72961\n10 19 72705\n12 19 71681\n13 19 69633\n14 19 65537\n18 19 1\n19 20 241225\n", "YES\n23 225\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n4 22 949937\n6 22 949921\n7 22 949889\n9 22 949761\n11 22 949249\n12 22 948225\n13 22 946177\n14 22 942081\n15 22 933889\n16 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 22330\n", "YES\n24 242\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n8 23 1918721\n10 23 1918465\n11 23 1917953\n12 23 1916929\n16 23 1900545\n18 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 53888\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1222195\n3 23 1222193\n6 23 1222177\n7 23 1222145\n11 23 1221633\n12 23 1220609\n15 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 21531\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1024091\n3 22 1024089\n5 22 1024081\n6 22 1024065\n8 22 1024001\n15 22 1015809\n17 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 19988\n", "YES\n19 147\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 46643\n3 18 46641\n6 18 46625\n7 18 46593\n11 18 46081\n12 18 45057\n14 18 40961\n15 18 32769\n17 18 1\n18 19 230\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 110097\n6 19 110081\n11 19 109569\n12 19 108545\n13 19 106497\n15 19 98305\n17 19 65537\n18 19 1\n19 20 1\n", "YES\n22 202\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n4 21 269289\n5 21 269281\n7 21 269249\n8 21 269185\n9 21 269057\n10 21 268801\n11 21 268289\n13 21 266241\n14 21 262145\n20 21 1\n21 22 45039\n", "YES\n22 204\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 487179\n3 21 487177\n5 21 487169\n10 21 486913\n11 21 486401\n12 21 485377\n13 21 483329\n15 21 475137\n16 21 458753\n18 21 393217\n19 21 262145\n20 21 1\n21 22 22330\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1902699\n3 23 1902697\n5 23 1902689\n7 23 1902657\n8 23 1902593\n13 23 1900545\n18 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 69973\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1235179\n3 23 1235177\n5 23 1235169\n7 23 1235137\n8 23 1235073\n9 23 1234945\n13 23 1232897\n14 23 1228801\n16 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 8547\n", "YES\n20 162\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n4 19 67297\n7 19 67265\n8 19 67201\n9 19 67073\n11 19 66561\n12 19 65537\n18 19 1\n19 20 19988\n", "YES\n20 164\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 88305\n6 19 88289\n7 19 88257\n8 19 88193\n9 19 88065\n13 19 86017\n14 19 81921\n16 19 65537\n18 19 1\n19 20 230\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 110097\n6 19 110081\n11 19 109569\n12 19 108545\n13 19 106497\n15 19 98305\n17 19 65537\n18 19 1\n19 20 2\n", "YES\n19 149\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 63719\n3 18 63717\n4 18 63713\n7 18 63681\n8 18 63617\n9 18 63489\n13 18 61441\n14 18 57345\n15 18 49153\n16 18 32769\n17 18 1\n18 19 45039\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 894113\n7 22 894081\n9 22 893953\n12 22 892929\n15 22 884737\n17 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 22330\n", "YES\n24 246\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1865333\n4 23 1865329\n6 23 1865313\n7 23 1865281\n8 23 1865217\n11 23 1864705\n12 23 1863681\n14 23 1859585\n15 23 1851393\n16 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 107339\n", "YES\n24 242\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n5 23 1227809\n7 23 1227777\n12 23 1226753\n13 23 1224705\n14 23 1220609\n15 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 15910\n", "YES\n20 165\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 81745\n6 19 81729\n8 19 81665\n10 19 81409\n11 19 80897\n12 19 79873\n13 19 77825\n14 19 73729\n15 19 65537\n18 19 1\n19 20 230\n", "YES\n20 161\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 100097\n10 19 99841\n11 19 99329\n12 19 98305\n17 19 65537\n18 19 1\n19 20 1\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 68811\n3 19 68809\n5 19 68801\n8 19 68737\n9 19 68609\n12 19 67585\n13 19 65537\n18 19 1\n19 20 39947\n", "YES\n22 200\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n4 21 411425\n7 21 411393\n10 21 411137\n11 21 410625\n12 21 409601\n16 21 393217\n19 21 262145\n20 21 1\n21 22 22330\n", "YES\n24 242\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n7 23 1971777\n8 23 1971713\n11 23 1971201\n12 23 1970177\n14 23 1966081\n19 23 1835009\n20 23 1572865\n21 23 1048577\n22 23 1\n23 24 864\n", "YES\n24 244\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1215099\n3 23 1215097\n5 23 1215089\n6 23 1215073\n7 23 1215041\n8 23 1214977\n11 23 1214465\n13 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 28627\n", "YES\n20 165\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n3 19 88917\n4 19 88913\n6 19 88897\n8 19 88833\n10 19 88577\n11 19 88065\n13 19 86017\n14 19 81921\n16 19 65537\n18 19 1\n19 20 230\n", "YES\n10 33\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n3 9 97\n7 9 65\n8 9 1\n9 10 1\n", "YES\n19 147\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n4 18 55985\n6 18 55969\n7 18 55937\n9 18 55809\n11 18 55297\n13 18 53249\n14 18 49153\n16 18 32769\n17 18 1\n18 19 52770\n", "YES\n24 238\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n5 23 1376385\n9 23 1376257\n18 23 1310721\n20 23 1048577\n22 23 1\n23 24 864\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1223365\n4 23 1223361\n8 23 1223297\n9 23 1223169\n11 23 1222657\n13 23 1220609\n15 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 20361\n", "YES\n15 86\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n4 14 2897\n6 14 2881\n8 14 2817\n10 14 2561\n11 14 2049\n13 14 1\n14 15 230\n", "YES\n9 33\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 99\n3 9 97\n7 9 65\n8 9 1\n", "YES\n19 148\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n3 18 48533\n4 18 48529\n6 18 48513\n9 18 48385\n10 18 48129\n12 18 47105\n13 18 45057\n14 18 40961\n15 18 32769\n17 18 1\n18 19 60224\n", "YES\n24 243\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1233203\n3 23 1233201\n6 23 1233185\n7 23 1233153\n10 23 1232897\n14 23 1228801\n16 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 10523\n", "YES\n15 85\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 2833\n6 14 2817\n10 14 2561\n11 14 2049\n13 14 1\n14 15 297\n", "YES\n18 131\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 22343\n3 17 22341\n4 17 22337\n8 17 22273\n10 17 22017\n11 17 21505\n12 17 20481\n14 17 16385\n16 17 1\n17 18 86415\n", "YES\n24 245\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1225437\n4 23 1225433\n5 23 1225425\n6 23 1225409\n8 23 1225345\n9 23 1225217\n11 23 1224705\n14 23 1220609\n15 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 18289\n", "YES\n15 86\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n3 14 3873\n7 14 3841\n10 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 297\n", "YES\n20 163\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n5 19 109377\n8 19 109313\n10 19 109057\n11 19 108545\n13 19 106497\n15 19 98305\n17 19 65537\n18 19 1\n19 20 86415\n", "YES\n24 244\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n3 23 1241449\n5 23 1241441\n7 23 1241409\n8 23 1241345\n10 23 1241089\n14 23 1236993\n15 23 1228801\n16 23 1212417\n17 23 1179649\n19 23 1048577\n22 23 1\n23 24 2276\n", "YES\n15 90\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3835\n3 14 3833\n5 14 3825\n6 14 3809\n7 14 3777\n8 14 3713\n9 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 336\n", "YES\n19 141\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 36865\n14 18 32769\n17 18 1\n18 19 158934\n", "YES\n22 206\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 318461\n4 21 318457\n5 21 318449\n6 21 318433\n7 21 318401\n8 21 318337\n9 21 318209\n10 21 317953\n11 21 317441\n13 21 315393\n14 21 311297\n16 21 294913\n17 21 262145\n20 21 1\n21 22 2276\n", "YES\n15 85\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3593\n5 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 578\n", "YES\n20 160\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 69645\n4 19 69641\n5 19 69633\n14 19 65537\n18 19 1\n19 20 158934\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 578957\n4 22 578953\n5 22 578945\n9 22 578817\n10 22 578561\n12 22 577537\n14 22 573441\n16 22 557057\n17 22 524289\n21 22 1\n22 23 2276\n", "YES\n15 89\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3997\n4 14 3993\n5 14 3985\n6 14 3969\n9 14 3841\n10 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 174\n", "YES\n21 182\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 215127\n3 20 215125\n4 20 215121\n6 20 215105\n8 20 215041\n13 20 212993\n16 20 196609\n18 20 131073\n19 20 1\n20 21 158934\n", "YES\n23 219\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n8 22 580609\n12 22 579585\n13 22 577537\n14 22 573441\n16 22 557057\n17 22 524289\n21 22 1\n22 23 561\n", "YES\n15 86\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n3 14 3857\n6 14 3841\n10 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 313\n", "YES\n21 183\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n4 20 160241\n6 20 160225\n7 20 160193\n8 20 160129\n9 20 160001\n10 20 159745\n14 20 155649\n15 20 147457\n16 20 131073\n19 20 1\n20 21 213817\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 580281\n5 22 580273\n6 22 580257\n7 22 580225\n9 22 580097\n11 22 579585\n13 22 577537\n14 22 573441\n16 22 557057\n17 22 524289\n21 22 1\n22 23 951\n", "YES\n15 88\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3863\n3 14 3861\n4 14 3857\n6 14 3841\n10 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 308\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 579411\n3 22 579409\n6 22 579393\n8 22 579329\n10 22 579073\n11 22 578561\n12 22 577537\n14 22 573441\n16 22 557057\n17 22 524289\n21 22 1\n22 23 1822\n", "YES\n15 88\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3741\n4 14 3737\n5 14 3729\n6 14 3713\n9 14 3585\n11 14 3073\n12 14 2049\n13 14 1\n14 15 430\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 548681\n5 22 548673\n8 22 548609\n10 22 548353\n11 22 547841\n12 22 546817\n13 22 544769\n14 22 540673\n16 22 524289\n21 22 1\n22 23 1822\n", "YES\n15 87\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 2485\n4 14 2481\n6 14 2465\n7 14 2433\n9 14 2305\n10 14 2049\n13 14 1\n14 15 430\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n5 22 548449\n7 22 548417\n8 22 548353\n11 22 547841\n12 22 546817\n13 22 544769\n14 22 540673\n16 22 524289\n21 22 1\n22 23 2047\n", "YES\n15 84\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 2433\n9 14 2305\n10 14 2049\n13 14 1\n14 15 482\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n8 22 1030017\n9 22 1029889\n10 22 1029633\n11 22 1029121\n12 22 1028097\n14 22 1024001\n15 22 1015809\n17 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 2047\n", "YES\n14 75\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1969\n6 13 1953\n7 13 1921\n9 13 1793\n10 13 1537\n11 13 1025\n12 13 1\n13 14 946\n", "YES\n23 226\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 1030393\n5 22 1030385\n6 22 1030369\n7 22 1030337\n8 22 1030273\n9 22 1030145\n13 22 1028097\n14 22 1024001\n15 22 1015809\n17 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 1733\n", "YES\n15 86\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 2221\n4 14 2217\n5 14 2209\n7 14 2177\n9 14 2049\n13 14 1\n14 15 946\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 1029233\n6 22 1029217\n7 22 1029185\n8 22 1029121\n12 22 1028097\n14 22 1024001\n15 22 1015809\n17 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 2893\n", "YES\n14 73\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n6 13 1377\n7 13 1345\n8 13 1281\n10 13 1025\n12 13 1\n13 14 1775\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n4 22 619753\n5 22 619745\n7 22 619713\n8 22 619649\n9 22 619521\n12 22 618497\n14 22 614401\n15 22 606209\n16 22 589825\n18 22 524289\n21 22 1\n22 23 2893\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 620161\n9 22 620033\n11 22 619521\n12 22 618497\n14 22 614401\n15 22 606209\n16 22 589825\n18 22 524289\n21 22 1\n22 23 2488\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 621689\n5 22 621681\n6 22 621665\n7 22 621633\n8 22 621569\n12 22 620545\n13 22 618497\n14 22 614401\n15 22 606209\n16 22 589825\n18 22 524289\n21 22 1\n22 23 959\n", "YES\n23 227\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 999341\n4 22 999337\n5 22 999329\n7 22 999297\n9 22 999169\n10 22 998913\n11 22 998401\n12 22 997377\n13 22 995329\n14 22 991233\n15 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 959\n", "YES\n23 223\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1000091\n3 22 1000089\n5 22 1000081\n6 22 1000065\n9 22 999937\n11 22 999425\n16 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 210\n", "YES\n23 224\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n5 22 1044833\n7 22 1044801\n8 22 1044737\n10 22 1044481\n14 22 1040385\n15 22 1032193\n16 22 1015809\n17 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 210\n", "YES\n23 227\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1044955\n3 22 1044953\n5 22 1044945\n6 22 1044929\n8 22 1044865\n9 22 1044737\n10 22 1044481\n14 22 1040385\n15 22 1032193\n16 22 1015809\n17 22 983041\n18 22 917505\n19 22 786433\n20 22 524289\n21 22 1\n22 23 95\n", "YES\n24 240\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1056385\n9 23 1056257\n11 23 1055745\n12 23 1054721\n13 23 1052673\n14 23 1048577\n22 23 1\n23 24 95\n", "YES\n24 241\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 1\n3 22 2\n4 22 4\n5 22 8\n6 22 16\n7 22 32\n8 22 64\n9 22 128\n10 22 256\n11 22 512\n12 22 1024\n13 22 2048\n14 22 4096\n15 22 8192\n16 22 16384\n17 22 32768\n18 22 65536\n19 22 131072\n20 22 262144\n21 22 524288\n1 23 1\n2 23 1056325\n4 23 1056321\n8 23 1056257\n11 23 1055745\n12 23 1054721\n13 23 1052673\n14 23 1048577\n22 23 1\n23 24 155\n", "YES\n23 220\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 531873\n7 22 531841\n9 22 531713\n10 22 531457\n12 22 530433\n13 22 528385\n14 22 524289\n21 22 1\n22 23 155\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 531771\n3 22 531769\n5 22 531761\n6 22 531745\n7 22 531713\n10 22 531457\n12 22 530433\n13 22 528385\n14 22 524289\n21 22 1\n22 23 257\n", "YES\n23 221\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n4 22 531689\n5 22 531681\n7 22 531649\n8 22 531585\n9 22 531457\n12 22 530433\n13 22 528385\n14 22 524289\n21 22 1\n22 23 336\n", "YES\n19 146\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n3 18 51665\n6 18 51649\n8 18 51585\n9 18 51457\n10 18 51201\n13 18 49153\n16 18 32769\n17 18 1\n18 19 336\n", "YES\n20 164\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n4 19 88249\n5 19 88241\n6 19 88225\n7 19 88193\n9 19 88065\n13 19 86017\n14 19 81921\n16 19 65537\n18 19 1\n19 20 336\n", "YES\n20 165\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 88747\n3 19 88745\n5 19 88737\n7 19 88705\n9 19 88577\n11 19 88065\n13 19 86017\n14 19 81921\n16 19 65537\n18 19 1\n19 20 336\n", "YES\n21 183\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n3 20 162409\n5 20 162401\n7 20 162369\n8 20 162305\n11 20 161793\n13 20 159745\n14 20 155649\n15 20 147457\n16 20 131073\n19 20 1\n20 21 336\n", "YES\n21 183\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 162189\n4 20 162185\n5 20 162177\n9 20 162049\n10 20 161793\n13 20 159745\n14 20 155649\n15 20 147457\n16 20 131073\n19 20 1\n20 21 557\n", "YES\n21 183\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n3 20 256657\n6 20 256641\n9 20 256513\n11 20 256001\n13 20 253953\n15 20 245761\n16 20 229377\n17 20 196609\n18 20 131073\n19 20 1\n20 21 557\n", "YES\n20 164\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n4 19 108777\n5 19 108769\n7 19 108737\n8 19 108673\n9 19 108545\n13 19 106497\n15 19 98305\n17 19 65537\n18 19 1\n19 20 557\n", "YES\n21 184\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 210157\n4 20 210153\n5 20 210145\n7 20 210113\n8 20 210049\n9 20 209921\n12 20 208897\n14 20 204801\n15 20 196609\n18 20 131073\n19 20 1\n20 21 557\n", "YES\n19 147\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n3 18 47513\n5 18 47505\n6 18 47489\n9 18 47361\n10 18 47105\n13 18 45057\n14 18 40961\n15 18 32769\n17 18 1\n18 19 557\n", "YES\n16 99\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n3 15 6789\n4 15 6785\n9 15 6657\n11 15 6145\n13 15 4097\n14 15 1\n15 16 557\n", "YES\n15 90\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 3007\n3 14 3005\n4 14 3001\n5 14 2993\n6 14 2977\n7 14 2945\n9 14 2817\n10 14 2561\n11 14 2049\n13 14 1\n14 15 557\n", "YES\n15 85\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n4 14 2753\n8 14 2689\n9 14 2561\n11 14 2049\n13 14 1\n14 15 557\n", "YES\n23 220\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 852627\n3 22 852625\n6 22 852609\n9 22 852481\n11 22 851969\n18 22 786433\n20 22 524289\n21 22 1\n22 23 513045\n", "YES\n14 72\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n3 13 1105\n6 13 1089\n8 13 1025\n12 13 1\n13 14 4\n", "YES\n22 202\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n3 21 323361\n7 21 323329\n10 21 323073\n11 21 322561\n12 21 321537\n13 21 319489\n15 21 311297\n16 21 294913\n17 21 262145\n20 21 1\n21 22 629173\n", "YES\n3 3\n1 2 1\n1 3 1\n2 3 1\n", "YES\n22 201\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n4 21 322209\n7 21 322177\n9 21 322049\n11 21 321537\n13 21 319489\n15 21 311297\n16 21 294913\n17 21 262145\n20 21 1\n21 22 119153\n", "YES\n18 130\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n3 17 23189\n4 17 23185\n6 17 23169\n9 17 23041\n11 17 22529\n13 17 20481\n14 17 16385\n16 17 1\n17 18 111110\n", "YES\n22 204\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 282589\n4 21 282585\n5 21 282577\n6 21 282561\n8 21 282497\n9 21 282369\n10 21 282113\n11 21 281601\n12 21 280577\n13 21 278529\n16 21 262145\n20 21 1\n21 22 1023\n", "YES\n18 129\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n6 17 19297\n7 17 19265\n8 17 19201\n10 17 18945\n11 17 18433\n13 17 16385\n16 17 1\n17 18 879445\n", "YES\n22 204\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 413023\n3 21 413021\n4 21 413017\n5 21 413009\n6 21 412993\n8 21 412929\n10 21 412673\n12 21 411649\n13 21 409601\n16 21 393217\n19 21 262145\n20 21 1\n21 22 405439\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n3 22 792269\n4 22 792265\n5 22 792257\n8 22 792193\n9 22 792065\n11 22 791553\n12 22 790529\n14 22 786433\n20 22 524289\n21 22 1\n22 23 158902\n", "YES\n23 222\n1 2 1\n1 3 1\n2 3 1\n1 4 1\n2 4 1\n3 4 2\n1 5 1\n2 5 1\n3 5 2\n4 5 4\n1 6 1\n2 6 1\n3 6 2\n4 6 4\n5 6 8\n1 7 1\n2 7 1\n3 7 2\n4 7 4\n5 7 8\n6 7 16\n1 8 1\n2 8 1\n3 8 2\n4 8 4\n5 8 8\n6 8 16\n7 8 32\n1 9 1\n2 9 1\n3 9 2\n4 9 4\n5 9 8\n6 9 16\n7 9 32\n8 9 64\n1 10 1\n2 10 1\n3 10 2\n4 10 4\n5 10 8\n6 10 16\n7 10 32\n8 10 64\n9 10 128\n1 11 1\n2 11 1\n3 11 2\n4 11 4\n5 11 8\n6 11 16\n7 11 32\n8 11 64\n9 11 128\n10 11 256\n1 12 1\n2 12 1\n3 12 2\n4 12 4\n5 12 8\n6 12 16\n7 12 32\n8 12 64\n9 12 128\n10 12 256\n11 12 512\n1 13 1\n2 13 1\n3 13 2\n4 13 4\n5 13 8\n6 13 16\n7 13 32\n8 13 64\n9 13 128\n10 13 256\n11 13 512\n12 13 1024\n1 14 1\n2 14 1\n3 14 2\n4 14 4\n5 14 8\n6 14 16\n7 14 32\n8 14 64\n9 14 128\n10 14 256\n11 14 512\n12 14 1024\n13 14 2048\n1 15 1\n2 15 1\n3 15 2\n4 15 4\n5 15 8\n6 15 16\n7 15 32\n8 15 64\n9 15 128\n10 15 256\n11 15 512\n12 15 1024\n13 15 2048\n14 15 4096\n1 16 1\n2 16 1\n3 16 2\n4 16 4\n5 16 8\n6 16 16\n7 16 32\n8 16 64\n9 16 128\n10 16 256\n11 16 512\n12 16 1024\n13 16 2048\n14 16 4096\n15 16 8192\n1 17 1\n2 17 1\n3 17 2\n4 17 4\n5 17 8\n6 17 16\n7 17 32\n8 17 64\n9 17 128\n10 17 256\n11 17 512\n12 17 1024\n13 17 2048\n14 17 4096\n15 17 8192\n16 17 16384\n1 18 1\n2 18 1\n3 18 2\n4 18 4\n5 18 8\n6 18 16\n7 18 32\n8 18 64\n9 18 128\n10 18 256\n11 18 512\n12 18 1024\n13 18 2048\n14 18 4096\n15 18 8192\n16 18 16384\n17 18 32768\n1 19 1\n2 19 1\n3 19 2\n4 19 4\n5 19 8\n6 19 16\n7 19 32\n8 19 64\n9 19 128\n10 19 256\n11 19 512\n12 19 1024\n13 19 2048\n14 19 4096\n15 19 8192\n16 19 16384\n17 19 32768\n18 19 65536\n1 20 1\n2 20 1\n3 20 2\n4 20 4\n5 20 8\n6 20 16\n7 20 32\n8 20 64\n9 20 128\n10 20 256\n11 20 512\n12 20 1024\n13 20 2048\n14 20 4096\n15 20 8192\n16 20 16384\n17 20 32768\n18 20 65536\n19 20 131072\n1 21 1\n2 21 1\n3 21 2\n4 21 4\n5 21 8\n6 21 16\n7 21 32\n8 21 64\n9 21 128\n10 21 256\n11 21 512\n12 21 1024\n13 21 2048\n14 21 4096\n15 21 8192\n16 21 16384\n17 21 32768\n18 21 65536\n19 21 131072\n20 21 262144\n1 22 1\n2 22 833587\n3 22 833585\n6 22 833569\n7 22 833537\n13 22 831489\n14 22 827393\n15 22 819201\n17 22 786433\n20 22 524289\n21 22 1\n22 23 10057\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Some time ago Homer lived in a beautiful city. There were n blocks numbered from 1 to n and m directed roads between them. Each road had a positive length, and each road went from the block with the smaller index to the block with the larger index. For every two (different) blocks, there was at most one road between them. Homer discovered that for some two numbers L and R the city was (L, R)-continuous. The city is said to be (L, R)-continuous, if 1. all paths from block 1 to block n are of length between L and R (inclusive); and 2. for every L ≤ d ≤ R, there is exactly one path from block 1 to block n whose length is d. A path from block u to block v is a sequence u = x_0 → x_1 → x_2 → ... → x_k = v, where there is a road from block x_{i-1} to block x_{i} for every 1 ≤ i ≤ k. The length of a path is the sum of lengths over all roads in the path. Two paths x_0 → x_1 → ... → x_k and y_0 → y_1 → ... → y_l are different, if k ≠ l or x_i ≠ y_i for some 0 ≤ i ≤ min\\{k, l\}. After moving to another city, Homer only remembers the two special numbers L and R but forgets the numbers n and m of blocks and roads, respectively, and how blocks are connected by roads. However, he believes the number of blocks should be no larger than 32 (because the city was small). As the best friend of Homer, please tell him whether it is possible to find a (L, R)-continuous city or not. Input The single line contains two integers L and R (1 ≤ L ≤ R ≤ 10^6). Output If it is impossible to find a (L, R)-continuous city within 32 blocks, print "NO" in a single line. Otherwise, print "YES" in the first line followed by a description of a (L, R)-continuous city. The second line should contain two integers n (2 ≤ n ≤ 32) and m (1 ≤ m ≤ \frac {n(n-1)} 2), where n denotes the number of blocks and m denotes the number of roads. Then m lines follow. The i-th of the m lines should contain three integers a_i, b_i (1 ≤ a_i < b_i ≤ n) and c_i (1 ≤ c_i ≤ 10^6) indicating that there is a directed road from block a_i to block b_i of length c_i. It is required that for every two blocks, there should be no more than 1 road connecting them. That is, for every 1 ≤ i < j ≤ m, either a_i ≠ a_j or b_i ≠ b_j. Examples Input 1 1 Output YES 2 1 1 2 1 Input 4 6 Output YES 5 6 1 2 3 1 3 4 1 4 5 2 5 1 3 5 1 4 5 1 Note In the first example there is only one path from block 1 to block n = 2, and its length is 1. In the second example there are three paths from block 1 to block n = 5, which are 1 → 2 → 5 of length 4, 1 → 3 → 5 of length 5 and 1 → 4 → 5 of length 6. ### Input: 1 1 ### Output: YES 2 1 1 2 1 ### Input: 4 6 ### Output: YES 5 6 1 2 3 1 3 4 1 4 5 2 5 1 3 5 1 4 5 1 ### Code: import sys input = sys.stdin.readline l,r=map(int,input().split()) dif=r-l+1 print("YES") n=2 while 2**(n-2)<dif:n+=1 edges=[] for i in range(n-2): for j in range(i+1,n-1): if i==0: edges.append([1,j+1,1]) else: edges.append([i+1,j+1,2**(i-1)]) mx=l-1 i=1 if mx==0 or dif==2**(n-2): edges.append([1,n,mx+1]) mx+=1 dif-=1 while dif: if dif%2: edges.append([i+1,n,mx]) mx+=2**(i-1) dif//=2 i+=1 print(n,len(edges)) for e in edges: print(*e)
1506_B. Partial Replacement_34897
You are given a number k and a string s of length n, consisting of the characters '.' and '*'. You want to replace some of the '*' characters with 'x' characters so that the following conditions are met: * The first character '*' in the original string should be replaced with 'x'; * The last character '*' in the original string should be replaced with 'x'; * The distance between two neighboring replaced characters 'x' must not exceed k (more formally, if you replaced characters at positions i and j (i < j) and at positions [i+1, j-1] there is no "x" symbol, then j-i must be no more than k). For example, if n=7, s=.**.*** and k=3, then the following strings will satisfy the conditions above: * .xx.*xx; * .x*.x*x; * .xx.xxx. But, for example, the following strings will not meet the conditions: * .**.*xx (the first character '*' should be replaced with 'x'); * .x*.xx* (the last character '*' should be replaced with 'x'); * .x*.*xx (the distance between characters at positions 2 and 6 is greater than k=3). Given n, k, and s, find the minimum number of '*' characters that must be replaced with 'x' in order to meet the above conditions. Input The first line contains one integer t (1 ≤ t ≤ 500). Then t test cases follow. The first line of each test case contains two integers n and k (1 ≤ k ≤ n ≤ 50). The second line of each test case contains a string s of length n, consisting of the characters '.' and '*'. It is guaranteed that there is at least one '*' in the string s. It is guaranteed that the distance between any two neighboring '*' characters does not exceed k. Output For each test case output the minimum number of '*' characters that must be replaced with 'x' characters in order to satisfy the conditions above. Example Input 5 7 3 .**.*** 5 1 ..*.. 5 2 *.*.* 3 2 *.* 1 1 * Output 3 1 3 2 1
t = int(input()) for i in range(t): n, k = map(int, input().split()) s = input() index = s.find('*') num = 1 last = s.rfind('*') while index < last: if s[index] == '*': index += k num += 1 else: index -= 1 print(num)
{ "input": [ "5\n7 3\n.**.***\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.**.***\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 5\n.**.***\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***..**\n5 1\n*....\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 2\n..*..\n5 4\n*.*.*\n3 2\n*.*\n1 2\n*\n", "5\n7 5\n.**.***\n5 2\n..*..\n5 4\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 2\n*.****.\n5 2\n..*..\n5 4\n*.*.*\n3 2\n**.\n1 3\n*\n", "5\n7 3\n.****.*\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.**.***\n5 3\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.****.*\n5 1\n..*..\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.**.***\n5 3\n..*..\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 1\n*....\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.**.***\n5 3\n.*...\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 3\n.*...\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 3\n.****.*\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 2\n*....\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 2\n*....\n5 2\n*.*.*\n3 2\n.**\n1 1\n*\n", "5\n7 4\n.****.*\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 2\n*\n", "5\n7 3\n***.**.\n5 3\n.*...\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n*.****.\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.**.***\n5 4\n..*..\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 6\n.*...\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 12\n.*...\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 5\n***.**.\n5 12\n.*...\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 5\n.**.***\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.****.*\n5 1\n..*..\n5 2\n*.*.*\n3 3\n*.*\n1 2\n*\n", "5\n7 3\n***.**.\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 5\n.**.***\n5 3\n..*..\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 6\n.****.*\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 7\n.****.*\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 1\n*....\n5 2\n*.*.*\n3 2\n.**\n1 1\n*\n", "5\n7 5\n.**.***\n5 3\n..*..\n5 2\n*.*.*\n3 4\n*.*\n1 1\n*\n", "5\n7 6\n.****.*\n5 4\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 2\n..*..\n5 3\n*.*.*\n3 2\n*.*\n1 2\n*\n", "5\n7 5\n.**.***\n5 3\n..*..\n5 2\n*.*.*\n3 8\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 4\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 2\n..*..\n5 3\n*.*.*\n3 2\n**.\n1 2\n*\n", "5\n7 4\n.****.*\n5 4\n..*..\n5 2\n*.**.\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n*.****.\n5 2\n..*..\n5 3\n*.*.*\n3 2\n**.\n1 2\n*\n", "5\n7 4\n*.****.\n5 2\n..*..\n5 4\n*.*.*\n3 2\n**.\n1 2\n*\n", "5\n7 4\n*.****.\n5 2\n..*..\n5 4\n*.*.*\n3 2\n**.\n1 3\n*\n", "5\n7 5\n.**.***\n5 1\n..*..\n5 3\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n.**.***\n5 3\n...*.\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 4\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 2\n*\n", "5\n7 2\n***.**.\n5 3\n.*...\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 2\n*.****.\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***.**.\n5 12\n.*...\n5 2\n*.**.\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n***..**\n5 1\n*....\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 6\n*****..\n5 2\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 6\n*.****.\n5 4\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 2\n..*..\n5 3\n*.**.\n3 2\n*.*\n1 2\n*\n", "5\n7 5\n.**.***\n5 3\n..*..\n5 2\n*.*.*\n3 8\n**.\n1 1\n*\n", "5\n7 4\n.****.*\n5 4\n..*..\n5 2\n*.*.*\n3 4\n*.*\n1 1\n*\n", "5\n7 7\n*.****.\n5 2\n..*..\n5 3\n*.*.*\n3 2\n**.\n1 2\n*\n", "5\n7 4\n.****.*\n5 6\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 2\n*\n", "5\n7 2\n***.**.\n5 3\n*....\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 3\n****.*.\n5 1\n*....\n5 2\n*.*.*\n3 3\n*.*\n1 1\n*\n", "5\n7 6\n*.****.\n5 7\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 1\n*\n", "5\n7 4\n.****.*\n5 6\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 3\n*\n", "5\n7 5\n.**.***\n5 1\n..*..\n5 2\n*.*.*\n3 2\n*.*\n1 2\n*\n", "5\n7 5\n.****.*\n5 1\n..*..\n5 2\n*.*.*\n3 3\n*.*\n1 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2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You are given a number k and a string s of length n, consisting of the characters '.' and '*'. You want to replace some of the '*' characters with 'x' characters so that the following conditions are met: * The first character '*' in the original string should be replaced with 'x'; * The last character '*' in the original string should be replaced with 'x'; * The distance between two neighboring replaced characters 'x' must not exceed k (more formally, if you replaced characters at positions i and j (i < j) and at positions [i+1, j-1] there is no "x" symbol, then j-i must be no more than k). For example, if n=7, s=.**.*** and k=3, then the following strings will satisfy the conditions above: * .xx.*xx; * .x*.x*x; * .xx.xxx. But, for example, the following strings will not meet the conditions: * .**.*xx (the first character '*' should be replaced with 'x'); * .x*.xx* (the last character '*' should be replaced with 'x'); * .x*.*xx (the distance between characters at positions 2 and 6 is greater than k=3). Given n, k, and s, find the minimum number of '*' characters that must be replaced with 'x' in order to meet the above conditions. Input The first line contains one integer t (1 ≤ t ≤ 500). Then t test cases follow. The first line of each test case contains two integers n and k (1 ≤ k ≤ n ≤ 50). The second line of each test case contains a string s of length n, consisting of the characters '.' and '*'. It is guaranteed that there is at least one '*' in the string s. It is guaranteed that the distance between any two neighboring '*' characters does not exceed k. Output For each test case output the minimum number of '*' characters that must be replaced with 'x' characters in order to satisfy the conditions above. Example Input 5 7 3 .**.*** 5 1 ..*.. 5 2 *.*.* 3 2 *.* 1 1 * Output 3 1 3 2 1 ### Input: 5 7 3 .**.*** 5 1 ..*.. 5 2 *.*.* 3 2 *.* 1 1 * ### Output: 3 1 3 2 1 ### Input: 5 7 3 .**.*** 5 2 ..*.. 5 2 *.*.* 3 2 *.* 1 1 * ### Output: 3 1 3 2 1 ### Code: t = int(input()) for i in range(t): n, k = map(int, input().split()) s = input() index = s.find('*') num = 1 last = s.rfind('*') while index < last: if s[index] == '*': index += k num += 1 else: index -= 1 print(num)
152_A. Marks_34901
Vasya, or Mr. Vasily Petrov is a dean of a department in a local university. After the winter exams he got his hands on a group's gradebook. Overall the group has n students. They received marks for m subjects. Each student got a mark from 1 to 9 (inclusive) for each subject. Let's consider a student the best at some subject, if there is no student who got a higher mark for this subject. Let's consider a student successful, if there exists a subject he is the best at. Your task is to find the number of successful students in the group. Input The first input line contains two integers n and m (1 ≤ n, m ≤ 100) — the number of students and the number of subjects, correspondingly. Next n lines each containing m characters describe the gradebook. Each character in the gradebook is a number from 1 to 9. Note that the marks in a rows are not sepatated by spaces. Output Print the single number — the number of successful students in the given group. Examples Input 3 3 223 232 112 Output 2 Input 3 5 91728 11828 11111 Output 3 Note In the first sample test the student number 1 is the best at subjects 1 and 3, student 2 is the best at subjects 1 and 2, but student 3 isn't the best at any subject. In the second sample test each student is the best at at least one subject.
n,m=map(int,input().split()) a=list() b=list() c=list() for i in range(n): a.append([int(i) for i in list(input())]) for i in range(m): x=0 for j in range(n): if(a[j][i]>x): x=a[j][i] b=list() b.append(j) elif(a[j][i]==x): b.append(j) c+=b print(len(set(c)))
{ "input": [ "3 5\n91728\n11828\n11111\n", "3 3\n223\n232\n112\n", "13 9\n514562255\n322655246\n135162979\n733845982\n473117129\n513967187\n965649829\n799122777\n661249521\n298618978\n659352422\n747778378\n723261619\n", "5 20\n11111111111111111111\n11111111111111111111\n11111111111111111111\n99999999999999999999\n11111111111111111119\n", "4 15\n222222222222222\n111111111111119\n111111111111119\n111111111111111\n", "2 100\n2222222222222222222222222222222222222222222222222222222222222222222222221222222222222222222222222222\n1111111111111111111111111111111111111111111111111111111111111111111111119111111111111111111111111111\n", "2 100\n1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222\n", "3 3\n321\n231\n123\n", "100 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3\n119\n181\n711\n", "13 9\n514562255\n322655246\n135162979\n733845982\n473117129\n513967187\n965649829\n799122777\n661249521\n312186241\n659352422\n747778378\n723261619\n", "3 3\n321\n396\n123\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n75\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n95\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n89\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n87\n12\n97\n52\n87\n43\n89\n51\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n48\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "75 1\n2\n3\n8\n3\n2\n1\n3\n1\n5\n1\n5\n4\n8\n8\n4\n2\n5\n1\n7\n6\n3\n2\n2\n3\n5\n5\n2\n4\n7\n7\n9\n2\n9\n5\n1\n4\n9\n5\n2\n4\n6\n6\n3\n3\n9\n3\n3\n2\n3\n4\n2\n6\n9\n1\n1\n1\n1\n7\n2\n3\n2\n9\n7\n4\n9\n1\n7\n5\n9\n8\n3\n4\n3\n4\n6\n", "4 1\n2\n9\n9\n9\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n61\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n95\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n27\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n87\n12\n97\n52\n87\n43\n89\n51\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n48\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "8 7\n6264676\n7854895\n2866294\n2465944\n8958761\n1378945\n3859353\n6615285\n", "2 1\n3\n6\n", "92 3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n176\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n552\n492\n598\n474\n639\n681\n635\n342\n516\n698\n141\n197\n571\n336\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "8 7\n6264676\n7854895\n2866294\n1799617\n8958761\n1378945\n3859353\n6615285\n", "15 5\n91728\n11828\n11111\n91728\n11828\n11111\n91728\n11828\n11101\n91728\n11828\n11111\n91728\n11828\n11111\n", "9 8\n61531121\n73475734\n18841327\n88683622\n98995641\n62741632\n57441743\n49396792\n63381994\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n61\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n82\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n27\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n87\n12\n97\n52\n87\n43\n89\n51\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n48\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "92 3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n176\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n671\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n893\n492\n598\n474\n639\n681\n635\n342\n516\n483\n141\n197\n571\n336\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n632\n996\n479\n814\n497\n363\n963\n162\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n61\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n95\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n89\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n87\n12\n97\n52\n87\n43\n89\n51\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n59\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "3 4\n2553\n6856\n3872\n", "3 3\n119\n328\n711\n", "3 3\n223\n232\n155\n", "3 4\n2553\n7568\n3872\n", "3 3\n223\n232\n270\n", "3 3\n223\n209\n270\n", "3 3\n321\n366\n123\n", "75 1\n2\n1\n8\n3\n2\n1\n3\n1\n5\n1\n5\n4\n8\n8\n4\n2\n5\n1\n7\n6\n3\n2\n2\n3\n5\n5\n2\n4\n7\n7\n9\n2\n9\n5\n1\n4\n9\n5\n2\n4\n6\n6\n3\n3\n9\n3\n3\n2\n3\n4\n2\n6\n9\n1\n1\n1\n1\n7\n2\n3\n2\n9\n7\n4\n9\n1\n7\n5\n6\n8\n3\n4\n3\n4\n6\n", "3 3\n113\n332\n551\n", "1 2\n74\n", "2 2\n42\n27\n", "3 3\n223\n232\n272\n", "3 3\n321\n216\n123\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n61\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n95\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n27\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n87\n12\n97\n52\n87\n43\n89\n77\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n48\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "2 1\n3\n8\n", "75 1\n2\n1\n8\n3\n2\n1\n3\n1\n5\n1\n5\n4\n8\n8\n4\n2\n5\n1\n7\n6\n3\n2\n2\n3\n5\n5\n2\n4\n7\n7\n9\n2\n9\n5\n1\n4\n9\n5\n2\n4\n6\n6\n3\n3\n9\n3\n3\n2\n3\n4\n2\n6\n9\n1\n1\n1\n1\n7\n2\n3\n2\n9\n7\n4\n9\n1\n7\n1\n6\n8\n3\n4\n3\n4\n6\n", "3 3\n113\n332\n126\n", "2 2\n74\n27\n", "92 3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n331\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n552\n492\n598\n474\n639\n681\n635\n342\n516\n698\n141\n197\n571\n336\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "3 3\n185\n232\n272\n", "8 7\n6239153\n7854895\n2866294\n1799617\n8958761\n1378945\n3859353\n6615285\n", "92 3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n331\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n552\n492\n598\n474\n639\n681\n635\n342\n516\n698\n141\n197\n571\n642\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n61\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n95\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n89\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n87\n24\n97\n52\n87\n43\n89\n51\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n48\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "8 7\n2365966\n7854895\n3244128\n2465944\n8958761\n1378945\n3859353\n6615285\n", "3 4\n3717\n6856\n5133\n", "75 1\n2\n3\n8\n3\n2\n1\n3\n1\n5\n1\n5\n4\n8\n8\n4\n2\n5\n1\n7\n6\n3\n2\n2\n3\n5\n5\n2\n4\n7\n7\n9\n2\n9\n5\n1\n4\n9\n5\n2\n1\n6\n6\n3\n3\n9\n3\n3\n2\n3\n4\n2\n6\n9\n1\n1\n1\n1\n7\n2\n3\n2\n9\n7\n4\n9\n1\n7\n5\n6\n8\n3\n4\n3\n4\n6\n", "3 3\n123\n297\n132\n", "1 2\n49\n", "100 1\n1\n6\n9\n1\n1\n5\n5\n4\n6\n9\n6\n1\n7\n8\n7\n3\n8\n8\n7\n6\n2\n1\n5\n1\n7\n3\n5\n4\n9\n7\n1\n2\n4\n1\n6\n5\n1\n3\n9\n4\n5\n8\n1\n2\n1\n9\n7\n3\n7\n1\n2\n2\n2\n2\n3\n9\n7\n2\n4\n7\n1\n6\n8\n1\n5\n6\n1\n1\n2\n9\n7\n4\n9\n1\n9\n4\n1\n3\n5\n2\n4\n4\n6\n5\n1\n4\n5\n8\n4\n7\n6\n5\n6\n9\n5\n8\n1\n5\n1\n6\n", "92 3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n176\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n893\n492\n598\n474\n639\n681\n635\n342\n516\n483\n141\n197\n571\n336\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "3 5\n91728\n11828\n11011\n", "75 1\n2\n3\n8\n3\n2\n1\n3\n1\n5\n1\n5\n4\n8\n8\n4\n2\n5\n1\n7\n6\n3\n2\n2\n3\n5\n5\n2\n4\n7\n7\n9\n2\n9\n5\n1\n4\n9\n5\n2\n4\n6\n6\n3\n5\n9\n3\n3\n2\n3\n4\n2\n6\n9\n1\n1\n1\n1\n7\n2\n3\n2\n9\n7\n4\n9\n1\n7\n5\n9\n8\n3\n4\n3\n4\n6\n", "3 3\n321\n685\n123\n", "3 3\n125\n332\n551\n", "2 2\n72\n27\n", "92 3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n331\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n552\n492\n598\n474\n639\n681\n635\n342\n516\n698\n141\n197\n571\n336\n175\n596\n147\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "92 3\n418\n665\n861\n766\n529\n541\n476\n676\n561\n995\n415\n185\n291\n331\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n862\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n552\n492\n598\n474\n639\n681\n635\n342\n516\n698\n141\n197\n571\n642\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "100 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1\n2\n3\n8\n3\n2\n1\n3\n1\n5\n1\n5\n4\n8\n8\n4\n2\n5\n1\n7\n6\n3\n2\n2\n3\n5\n5\n2\n4\n7\n7\n9\n4\n9\n5\n1\n4\n9\n5\n2\n4\n6\n6\n3\n5\n9\n3\n3\n2\n3\n4\n2\n6\n9\n1\n1\n1\n1\n7\n2\n3\n2\n9\n7\n4\n9\n1\n7\n5\n9\n8\n3\n4\n3\n4\n6\n", "100 2\n71\n87\n99\n47\n22\n87\n49\n73\n21\n12\n77\n43\n18\n41\n78\n62\n61\n16\n64\n89\n81\n54\n53\n92\n93\n94\n68\n93\n15\n68\n42\n93\n28\n19\n86\n16\n97\n17\n11\n43\n72\n76\n54\n82\n58\n53\n48\n45\n85\n85\n74\n21\n44\n51\n27\n75\n76\n17\n38\n62\n81\n22\n66\n59\n89\n85\n91\n75\n12\n97\n52\n87\n43\n89\n51\n58\n57\n98\n78\n68\n82\n41\n87\n29\n75\n72\n48\n14\n35\n71\n74\n91\n66\n67\n42\n98\n52\n54\n22\n41\n", "92 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3\n418\n665\n861\n766\n529\n416\n476\n676\n561\n995\n415\n185\n291\n331\n776\n631\n556\n488\n118\n188\n437\n496\n466\n131\n914\n118\n766\n365\n113\n897\n386\n639\n276\n946\n759\n169\n494\n837\n338\n351\n783\n311\n261\n184\n598\n132\n246\n982\n575\n364\n615\n347\n374\n368\n523\n132\n774\n161\n552\n492\n598\n474\n639\n681\n635\n342\n516\n698\n141\n197\n571\n642\n175\n596\n481\n327\n841\n133\n142\n146\n246\n396\n287\n582\n556\n996\n479\n814\n497\n363\n963\n162\n", "8 7\n2365966\n7854895\n3415193\n2465944\n8958761\n1378945\n3859353\n6615285\n" ], "output": [ "3\n", "2\n", "11\n", "2\n", "3\n", "2\n", "1\n", "3\n", "21\n", "6\n", "2\n", "2\n", "1\n", "9\n", "15\n", "7\n", "3\n", "3\n", "1\n", "1\n", "3\n", "10\n", "18\n", "1\n", "23\n", "1\n", "3\n", "4\n", "1\n", "3\n", "10\n", "2\n", "21\n", "8\n", "3\n", "20\n", "7\n", "1\n", "24\n", "6\n", "15\n", "4\n", "19\n", "23\n", "22\n", "2\n", "3\n", "3\n", "2\n", "3\n", "3\n", "2\n", "7\n", "2\n", "1\n", "2\n", "3\n", "3\n", "20\n", "1\n", "7\n", "2\n", "2\n", "24\n", "3\n", "7\n", "24\n", "21\n", "7\n", "2\n", "7\n", "1\n", "1\n", "10\n", "24\n", "3\n", "8\n", "1\n", "2\n", "2\n", "24\n", "24\n", "21\n", "1\n", "24\n", "8\n", "19\n", "24\n", "1\n", "8\n", "8\n", "8\n", "6\n", "2\n", "7\n", "1\n", "10\n", "23\n", "2\n", "3\n", "3\n", "8\n", "3\n", "21\n", "1\n", "1\n", "24\n", "2\n", "20\n", "7\n", "1\n", "24\n", "2\n", "7\n", "24\n", "7\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: Vasya, or Mr. Vasily Petrov is a dean of a department in a local university. After the winter exams he got his hands on a group's gradebook. Overall the group has n students. They received marks for m subjects. Each student got a mark from 1 to 9 (inclusive) for each subject. Let's consider a student the best at some subject, if there is no student who got a higher mark for this subject. Let's consider a student successful, if there exists a subject he is the best at. Your task is to find the number of successful students in the group. Input The first input line contains two integers n and m (1 ≤ n, m ≤ 100) — the number of students and the number of subjects, correspondingly. Next n lines each containing m characters describe the gradebook. Each character in the gradebook is a number from 1 to 9. Note that the marks in a rows are not sepatated by spaces. Output Print the single number — the number of successful students in the given group. Examples Input 3 3 223 232 112 Output 2 Input 3 5 91728 11828 11111 Output 3 Note In the first sample test the student number 1 is the best at subjects 1 and 3, student 2 is the best at subjects 1 and 2, but student 3 isn't the best at any subject. In the second sample test each student is the best at at least one subject. ### Input: 3 5 91728 11828 11111 ### Output: 3 ### Input: 3 3 223 232 112 ### Output: 2 ### Code: n,m=map(int,input().split()) a=list() b=list() c=list() for i in range(n): a.append([int(i) for i in list(input())]) for i in range(m): x=0 for j in range(n): if(a[j][i]>x): x=a[j][i] b=list() b.append(j) elif(a[j][i]==x): b.append(j) c+=b print(len(set(c)))
160_C. Find Pair_34905
You've got another problem dealing with arrays. Let's consider an arbitrary sequence containing n (not necessarily different) integers a1, a2, ..., an. We are interested in all possible pairs of numbers (ai, aj), (1 ≤ i, j ≤ n). In other words, let's consider all n2 pairs of numbers, picked from the given array. For example, in sequence a = {3, 1, 5} are 9 pairs of numbers: (3, 3), (3, 1), (3, 5), (1, 3), (1, 1), (1, 5), (5, 3), (5, 1), (5, 5). Let's sort all resulting pairs lexicographically by non-decreasing. Let us remind you that pair (p1, q1) is lexicographically less than pair (p2, q2) only if either p1 < p2, or p1 = p2 and q1 < q2. Then the sequence, mentioned above, will be sorted like that: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5) Let's number all the pair in the sorted list from 1 to n2. Your task is formulated like this: you should find the k-th pair in the ordered list of all possible pairs of the array you've been given. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 1 ≤ k ≤ n2). The second line contains the array containing n integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). The numbers in the array can coincide. All numbers are separated with spaces. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use cin, cout, streams or the %I64d specificator instead. Output In the single line print two numbers — the sought k-th pair. Examples Input 2 4 2 1 Output 2 2 Input 3 2 3 1 5 Output 1 3 Note In the first sample the sorted sequence for the given array looks as: (1, 1), (1, 2), (2, 1), (2, 2). The 4-th of them is pair (2, 2). The sorted sequence for the array from the second sample is given in the statement. The 2-nd pair there is (1, 3).
#import math #from functools import lru_cache #import heapq #from collections import defaultdict from collections import Counter #from collections import deque #from sys import stdout #from sys import setrecursionlimit #setrecursionlimit(10**7) #from bisect import bisect_left from sys import stdin input = stdin.readline INF = 10**9 + 7 MAX = 10**7 + 7 MOD = 10**9 + 7 n, k = [int(x) for x in input().strip().split()] a = [int(x) for x in input().strip().split()] c = list(Counter(a).items()) c.sort() #c.append((0, 0)) s = 0 fi = 0 i = 0 while(i<len(c)): s += c[i][1]*n #print(i, s) if(s>=k): fi = i k -= (s - c[i][1]*n) break i+=1 si = 0 i = 0 s = 0 while(i<len(c)): s += c[i][1]*c[fi][1] #print(i, s) if(s>=k): si = i break i+=1 print(c[fi][0], c[si][0])
{ "input": [ "2 4\n2 1\n", "3 2\n3 1 5\n", "5 16\n1 1 2 2 3\n", "10 90\n1 1 1 1 1 1 1 1 1 2\n", "3 3\n1 1 2\n", "5 15\n1 1 1 2 2\n", "100 4755\n5 4 3 5 1 2 5 1 1 3 5 4 4 1 1 1 1 5 4 4 5 1 5 5 1 2 1 3 1 5 1 3 3 3 2 2 2 1 1 5 1 3 4 1 1 3 2 5 2 2 5 5 4 4 1 3 4 3 3 4 5 3 3 3 1 2 1 4 2 4 4 1 5 1 3 5 5 5 5 3 4 4 3 1 2 5 2 3 5 4 2 4 5 3 2 4 2 4 3 1\n", "6 36\n1 1 2 2 2 2\n", "50 622\n4 9 8 1 3 7 1 2 3 8 9 8 8 5 2 10 5 8 1 3 1 8 2 3 7 9 10 2 9 9 7 3 8 6 10 6 5 4 8 1 1 5 6 8 9 5 9 5 3 2\n", "9 76\n1 1 2 2 2 2 3 3 9\n", "10 25\n1 2 2 3 4 5 6 7 8 9\n", "5 13\n3 3 3 4 5\n", "5 7\n1 3 3 3 5\n", "100 9043\n4 1 4 2 1 4 2 2 1 1 4 2 4 2 4 1 4 2 2 1 2 2 2 2 1 1 2 3 2 1 1 3 2 3 1 4 2 2 2 4 1 4 3 3 4 3 4 1 1 4 2 2 4 4 4 4 4 1 1 2 3 1 3 4 1 3 1 4 1 3 2 2 3 2 3 1 2 3 4 3 3 2 3 4 4 4 2 3 2 1 1 2 2 4 1 2 3 2 2 1\n", "4 5\n3 1 3 1\n", "3 7\n5 4 3\n", "5 3\n0 1 2 3 4\n", "5 17\n1 3 3 3 5\n", "3 5\n1 1 2\n", "1 1\n-4\n", "10 50\n1 1 -9 -9 -9 7 7 7 7 7\n", "100 6819\n4 3 4 6 2 5 2 2 5 6 6 6 1 3 1 3 2 2 2 3 4 5 2 1 6 4 5 3 2 3 4 4 4 3 5 6 3 2 4 5 2 3 2 1 1 6 4 1 5 6 4 3 4 2 4 1 3 2 3 1 2 2 5 1 3 2 5 1 3 2 4 5 1 3 5 5 5 2 6 6 6 3 1 5 4 6 3 3 4 3 1 4 1 1 1 1 2 4 2 6\n", "10 90\n2 1 1 1 1 1 2 1 2 2\n", "3 6\n10 1 3\n", "5 10\n1 2 2 1 3\n", "10 91\n1 1 1 1 1 1 1 1 1 2\n", "5 17\n1 3 3 5 5\n", "4 12\n-1 -2 -3 -4\n", "8 26\n4 4 1 1 1 3 3 5\n", "50 2069\n9 97 15 22 69 27 7 23 84 73 74 60 94 43 98 13 4 63 49 7 31 93 23 6 75 32 63 49 32 99 43 68 48 16 54 20 38 40 65 34 28 21 55 79 50 2 18 22 95 25\n", "5 20\n1 2 2 3 3\n", "10 18\n1 1 1 3 4 4 4 1 2 3\n", "10 6\n3 1 1 3 2 2 2 3 3 3\n", "5 6\n1 1 2 2 3\n", "100 4755\n5 4 3 5 1 2 5 1 1 3 5 4 4 1 1 1 1 5 4 4 5 1 5 5 1 2 1 3 1 5 1 3 3 3 2 2 2 1 1 5 1 3 4 1 1 3 2 5 2 2 5 5 4 4 1 3 4 3 3 4 5 3 3 3 1 2 1 4 2 4 4 1 5 1 2 5 5 5 5 3 4 4 3 1 2 5 2 3 5 4 2 4 5 3 2 4 2 4 3 1\n", "6 36\n1 1 2 1 2 2\n", "50 622\n4 9 8 1 3 7 1 2 3 8 9 8 8 5 2 10 5 8 1 3 1 8 2 3 7 9 10 2 9 9 7 3 8 6 10 6 5 4 8 1 1 5 11 8 9 5 9 5 3 2\n", "9 76\n1 1 2 2 2 3 3 3 9\n", "10 25\n1 2 2 3 4 5 6 7 4 9\n", "5 13\n3 3 3 7 5\n", "5 7\n1 3 3 1 5\n", "100 9043\n4 1 4 2 1 4 2 2 1 1 4 2 4 2 4 1 4 2 2 1 1 2 2 2 1 1 2 3 2 1 1 3 2 3 1 4 2 2 2 4 1 4 3 3 4 3 4 1 1 4 2 2 4 4 4 4 4 1 1 2 3 1 3 4 1 3 1 4 1 3 2 2 3 2 3 1 2 3 4 3 3 2 3 4 4 4 2 3 2 1 1 2 2 4 1 2 3 2 2 1\n", "4 1\n3 1 3 1\n", "3 7\n5 0 3\n", "5 3\n-1 1 2 3 4\n", "10 50\n1 1 -9 -9 -9 7 7 7 7 13\n", "100 6819\n4 3 4 6 2 5 2 2 5 6 6 6 1 0 1 3 2 2 2 3 4 5 2 1 6 4 5 3 2 3 4 4 4 3 5 6 3 2 4 5 2 3 2 1 1 6 4 1 5 6 4 3 4 2 4 1 3 2 3 1 2 2 5 1 3 2 5 1 3 2 4 5 1 3 5 5 5 2 6 6 6 3 1 5 4 6 3 3 4 3 1 4 1 1 1 1 2 4 2 6\n", "10 90\n2 1 1 1 1 1 2 1 2 4\n", "10 91\n1 1 1 1 0 1 1 1 1 2\n", "4 12\n-1 -3 -3 -4\n", "8 26\n4 8 1 1 1 3 3 5\n", "50 2069\n9 97 15 22 69 27 7 23 84 73 74 60 94 43 98 13 4 63 49 7 31 93 23 6 75 32 63 29 32 99 43 68 48 16 54 20 38 40 65 34 28 21 55 79 50 2 18 22 95 25\n", "10 6\n3 0 1 3 2 2 2 3 3 3\n", "3 3\n3 1 5\n", "9 76\n1 1 2 2 2 3 3 3 15\n", "10 25\n1 4 2 3 4 5 6 7 4 9\n", "3 7\n5 1 3\n", "5 5\n-1 1 2 3 4\n", "10 90\n2 1 1 1 1 1 2 1 2 8\n", "10 91\n1 1 1 1 0 1 2 1 1 2\n", "3 3\n3 0 5\n", "10 50\n1 1 -9 -9 -9 7 17 7 7 13\n", "50 2069\n9 97 15 22 69 27 7 23 84 73 74 60 94 43 98 13 4 63 49 7 31 93 23 6 75 32 63 11 32 99 43 68 48 16 54 20 38 40 65 34 28 21 55 79 45 2 18 22 95 25\n", "10 3\n3 0 1 3 2 2 2 3 3 6\n", "3 3\n3 0 6\n", "5 17\n1 3 3 0 5\n", "5 10\n1 2 2 1 0\n", "5 17\n1 3 3 5 1\n", "10 18\n1 1 1 4 4 4 4 1 2 3\n", "2 4\n2 0\n", "5 6\n1 1 2 2 6\n", "100 4755\n5 4 3 5 1 2 5 1 1 3 5 4 4 2 1 1 1 5 4 4 5 1 5 5 1 2 1 3 1 5 1 3 3 3 2 2 2 1 1 5 1 3 4 1 1 3 2 5 2 2 5 5 4 4 1 3 4 3 3 4 5 3 3 3 1 2 1 4 2 4 4 1 5 1 2 5 5 5 5 3 4 4 3 1 2 5 2 3 5 4 2 4 5 3 2 4 2 4 3 1\n", "6 36\n1 1 2 1 3 2\n", "50 622\n4 9 8 1 3 7 1 2 3 8 9 8 8 5 2 10 5 8 1 3 1 8 2 3 7 9 10 2 9 9 7 3 8 6 10 6 5 4 8 1 1 5 11 8 9 5 0 5 3 2\n", "5 13\n4 3 3 7 5\n", "5 7\n0 3 3 1 5\n", "100 9043\n4 1 4 2 1 4 2 2 1 1 4 2 4 2 4 1 4 2 2 1 1 2 2 2 1 1 2 3 2 1 1 3 2 3 1 4 2 2 2 4 1 4 3 3 4 3 4 1 1 4 2 2 4 4 4 4 4 1 1 2 3 1 5 4 1 3 1 4 1 3 2 2 3 2 3 1 2 3 4 3 3 2 3 4 4 4 2 3 2 1 1 2 2 4 1 2 3 2 2 1\n", "4 1\n4 1 3 1\n", "10 50\n1 1 -9 -9 -9 7 12 7 7 13\n", "100 6819\n4 3 4 6 2 5 2 2 5 6 6 6 1 0 1 3 2 2 2 3 4 5 2 1 6 4 5 3 2 3 4 4 4 3 5 6 3 2 3 5 2 3 2 1 1 6 4 1 5 6 4 3 4 2 4 1 3 2 3 1 2 2 5 1 3 2 5 1 3 2 4 5 1 3 5 5 5 2 6 6 6 3 1 5 4 6 3 3 4 3 1 4 1 1 1 1 2 4 2 6\n", "5 10\n1 2 3 1 0\n", "4 12\n-1 -3 -3 -8\n", "8 26\n4 8 1 1 1 3 3 0\n", "50 2069\n9 97 15 22 69 27 7 23 84 73 74 60 94 43 98 13 4 63 49 7 31 93 23 6 75 32 63 29 32 99 43 68 48 16 54 20 38 40 65 34 28 21 55 79 45 2 18 22 95 25\n", "10 18\n1 1 2 4 4 4 4 1 2 3\n", "10 6\n3 0 1 3 2 2 2 3 3 6\n", "5 6\n1 1 3 2 6\n", "100 4755\n5 4 3 5 1 2 5 1 1 3 5 4 4 2 1 1 1 5 4 4 5 1 5 5 1 2 1 3 1 5 1 3 3 3 2 2 2 1 1 5 1 3 4 1 1 3 2 5 2 2 5 5 4 4 1 3 4 3 3 4 5 3 3 3 1 2 1 4 2 4 5 1 5 1 2 5 5 5 5 3 4 4 3 1 2 5 2 3 5 4 2 4 5 3 2 4 2 4 3 1\n", "6 36\n0 1 2 1 3 2\n", "50 622\n4 9 8 1 3 7 1 2 3 8 9 14 8 5 2 10 5 8 1 3 1 8 2 3 7 9 10 2 9 9 7 3 8 6 10 6 5 4 8 1 1 5 11 8 9 5 0 5 3 2\n", "10 25\n1 4 2 3 4 5 6 7 4 4\n", "5 13\n4 3 0 7 5\n", "5 7\n0 3 3 1 7\n", "100 9043\n4 1 4 2 1 4 2 2 1 1 4 2 4 2 4 1 4 2 2 1 1 2 2 2 1 1 2 3 2 1 1 3 2 3 1 4 2 2 2 4 1 4 3 3 4 3 4 1 1 4 2 2 4 4 4 4 4 1 1 2 3 1 5 4 1 3 1 4 1 3 2 2 3 2 3 1 2 3 4 3 3 2 3 4 0 4 2 3 2 1 1 2 2 4 1 2 3 2 2 1\n", "4 1\n4 1 3 2\n", "3 7\n5 1 2\n", "5 9\n-1 1 2 3 4\n", "100 6819\n4 3 4 6 2 5 2 2 5 6 6 6 1 0 1 3 2 2 2 3 4 5 2 1 6 2 5 3 2 3 4 4 4 3 5 6 3 2 3 5 2 3 2 1 1 6 4 1 5 6 4 3 4 2 4 1 3 2 3 1 2 2 5 1 3 2 5 1 3 2 4 5 1 3 5 5 5 2 6 6 6 3 1 5 4 6 3 3 4 3 1 4 1 1 1 1 2 4 2 6\n", "10 90\n2 1 1 1 2 1 2 1 2 8\n", "5 8\n1 2 3 1 0\n", "4 12\n-1 -3 -3 -3\n", "8 26\n4 8 1 2 1 3 3 0\n", "10 18\n1 1 2 4 4 4 4 1 2 0\n" ], "output": [ "2 2\n", "1 3\n", "2 2\n", "1 2\n", "1 1\n", "1 2\n", "3 3\n", "2 2\n", "3 3\n", "9 2\n", "2 7\n", "3 5\n", "3 1\n", "4 3\n", "1 3\n", "5 3\n", "0 2\n", "3 3\n", "1 2\n", "-4 -4\n", "1 7\n", "4 4\n", "2 2\n", "3 10\n", "1 3\n", "2 1\n", "5 1\n", "-2 -1\n", "3 1\n", "75 28\n", "3 2\n", "1 2\n", "1 2\n", "1 2\n", "3 2\n", "2 2\n", "3 3\n", "9 2\n", "2 6\n", "3 7\n", "1 3\n", "4 3\n", "1 1\n", "5 0\n", "-1 2\n", "1 13\n", "4 4\n", "2 4\n", "2 0\n", "-3 -1\n", "3 1\n", "75 28\n", "0 3\n", "1 5\n", "15 2\n", "3 4\n", "5 1\n", "-1 4\n", "2 8\n", "2 1\n", "0 5\n", "1 17\n", "75 27\n", "0 2\n", "0 6\n", "3 3\n", "1 1\n", "3 3\n", "1 2\n", "2 2\n", "1 2\n", "3 2\n", "3 3\n", "3 1\n", "4 4\n", "1 1\n", "4 3\n", "1 1\n", "1 13\n", "4 4\n", "1 1\n", "-3 -1\n", "1 3\n", "75 28\n", "1 3\n", "0 3\n", "1 2\n", "3 2\n", "3 3\n", "3 1\n", "3 4\n", "4 4\n", "1 1\n", "4 3\n", "1 1\n", "5 1\n", "1 3\n", "4 4\n", "2 8\n", "1 1\n", "-3 -1\n", "2 1\n", "1 1\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: You've got another problem dealing with arrays. Let's consider an arbitrary sequence containing n (not necessarily different) integers a1, a2, ..., an. We are interested in all possible pairs of numbers (ai, aj), (1 ≤ i, j ≤ n). In other words, let's consider all n2 pairs of numbers, picked from the given array. For example, in sequence a = {3, 1, 5} are 9 pairs of numbers: (3, 3), (3, 1), (3, 5), (1, 3), (1, 1), (1, 5), (5, 3), (5, 1), (5, 5). Let's sort all resulting pairs lexicographically by non-decreasing. Let us remind you that pair (p1, q1) is lexicographically less than pair (p2, q2) only if either p1 < p2, or p1 = p2 and q1 < q2. Then the sequence, mentioned above, will be sorted like that: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5) Let's number all the pair in the sorted list from 1 to n2. Your task is formulated like this: you should find the k-th pair in the ordered list of all possible pairs of the array you've been given. Input The first line contains two integers n and k (1 ≤ n ≤ 105, 1 ≤ k ≤ n2). The second line contains the array containing n integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). The numbers in the array can coincide. All numbers are separated with spaces. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use cin, cout, streams or the %I64d specificator instead. Output In the single line print two numbers — the sought k-th pair. Examples Input 2 4 2 1 Output 2 2 Input 3 2 3 1 5 Output 1 3 Note In the first sample the sorted sequence for the given array looks as: (1, 1), (1, 2), (2, 1), (2, 2). The 4-th of them is pair (2, 2). The sorted sequence for the array from the second sample is given in the statement. The 2-nd pair there is (1, 3). ### Input: 2 4 2 1 ### Output: 2 2 ### Input: 3 2 3 1 5 ### Output: 1 3 ### Code: #import math #from functools import lru_cache #import heapq #from collections import defaultdict from collections import Counter #from collections import deque #from sys import stdout #from sys import setrecursionlimit #setrecursionlimit(10**7) #from bisect import bisect_left from sys import stdin input = stdin.readline INF = 10**9 + 7 MAX = 10**7 + 7 MOD = 10**9 + 7 n, k = [int(x) for x in input().strip().split()] a = [int(x) for x in input().strip().split()] c = list(Counter(a).items()) c.sort() #c.append((0, 0)) s = 0 fi = 0 i = 0 while(i<len(c)): s += c[i][1]*n #print(i, s) if(s>=k): fi = i k -= (s - c[i][1]*n) break i+=1 si = 0 i = 0 s = 0 while(i<len(c)): s += c[i][1]*c[fi][1] #print(i, s) if(s>=k): si = i break i+=1 print(c[fi][0], c[si][0])
203_A. Two Problems_34911
A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points.
x, t, a, b, da, db = (int(q) for q in input().split()) if (x in (a - da * i + b - db * j for i in range(t) for j in range(t)) or (a >= x and (a - x) % da == 0 and (a - x) // da < t) or (b >= x and (b - x) % db == 0 and (b - x) // db < t) or x == 0): print('YES') else: print('NO')
{ "input": [ "10 4 100 5 5 1\n", "30 5 20 20 3 5\n", "16 73 92 72 1 1\n", "50 10 30 20 1 2\n", "375 6 133 267 19 36\n", "5 3 135 12 21 6\n", "49 2 50 20 2 1\n", "0 11 67 82 6 4\n", "46 7 18 6 3 1\n", "10 2 27 4 11 1\n", "35 8 20 20 1 2\n", "3 18 272 17 6 1\n", "30 9 18 83 1 7\n", "145 26 25 150 1 4\n", "0 15 86 84 5 2\n", "50 5 30 60 3 3\n", "59 4 113 45 25 12\n", "0 7 30 50 3 4\n", "18 12 11 54 1 3\n", "17 10 10 20 1 2\n", "80 5 39 40 1 1\n", "6 2 11 1 11 1\n", "38 100 99 245 1 1\n", "13 3 11 14 5 1\n", "40 1 40 5 11 2\n", "6 46 95 45 1 1\n", "1 21 178 20 1 1\n", "543 4 31 69 6 5\n", "2 5 29 36 5 6\n", "11 1 10 1 10 1\n", "27 45 44 169 1 2\n", "230 125 175 124 1 1\n", "74 72 104 71 1 1\n", "16 24 26 23 1 1\n", "363 2 280 239 5 231\n", "28 3 16 20 3 10\n", "5 4 11 80 2 4\n", "1 2 1 2 1 2\n", "5 3 11 100 2 4\n", "0 35 208 98 6 2\n", "15 5 230 213 32 25\n", "142 1 66 76 18 39\n", "223 92 123 118 1 1\n", "41 77 96 145 1 1\n", "64 12 258 141 10 7\n", "360 5 215 4 52 1\n", "3 1 20 15 17 5\n", "0 3 5 6 1 2\n", "59 18 50 17 1 1\n", "50 15 30 20 1 2\n", "375 6 133 432 19 36\n", "5 3 135 12 13 6\n", "49 2 50 20 2 2\n", "0 11 77 82 6 4\n", "46 2 18 6 3 1\n", "7 2 27 4 11 1\n", "35 8 8 20 1 2\n", "3 18 272 22 6 1\n", "56 9 18 83 1 7\n", "50 9 30 60 3 3\n", "59 4 113 82 25 12\n", "0 7 30 70 3 4\n", "17 17 10 20 1 2\n", "6 1 11 1 11 1\n", "38 100 99 454 1 1\n", "13 3 11 14 5 2\n", "40 1 21 5 11 2\n", "5 46 95 45 1 1\n", "1 15 178 20 1 1\n", "543 4 31 53 6 5\n", "2 5 39 36 5 6\n", "11 1 10 1 15 1\n", "27 45 44 134 1 2\n", "230 125 221 124 1 1\n", "31 72 104 71 1 1\n", "16 24 26 22 1 1\n", "363 2 280 195 5 231\n", "28 3 16 20 3 2\n", "5 4 11 43 2 4\n", "5 1 11 100 2 4\n", "1 35 208 98 6 2\n", "15 5 230 213 32 1\n", "142 1 99 76 18 39\n", "41 77 96 207 1 1\n", "64 12 329 141 10 7\n", "360 5 3 4 52 1\n", "3 1 20 15 17 1\n", "59 18 4 17 1 1\n", "17 4 100 5 5 1\n", "55 5 20 20 3 5\n", "50 15 30 20 1 1\n", "5 3 170 12 13 6\n", "49 2 25 20 2 2\n", "0 11 77 40 6 4\n", "33 2 18 6 3 1\n", "7 2 27 4 9 1\n", "35 8 8 20 2 2\n", "3 18 272 42 6 1\n", "56 9 11 83 1 7\n", "50 9 30 37 3 3\n", "10 4 113 82 25 12\n", "0 7 30 90 3 4\n", "32 17 10 20 1 2\n", "13 3 11 14 5 4\n", "40 1 6 5 11 2\n", "5 46 95 27 1 1\n", "2 15 178 20 1 1\n", "543 1 31 53 6 5\n", "2 5 51 36 5 6\n", "2 1 10 1 15 1\n", "27 45 28 134 1 2\n", "230 195 221 124 1 1\n", "31 72 104 115 1 1\n", "16 24 33 22 1 1\n", "189 2 280 195 5 231\n", "28 3 16 20 3 1\n", "5 4 11 43 2 6\n", "5 1 11 100 2 1\n", "1 35 226 98 6 2\n", "16 5 230 213 32 1\n", "142 1 99 76 34 39\n", "64 16 329 141 10 7\n", "360 5 3 4 52 2\n", "3 1 20 27 17 1\n", "59 23 4 17 1 1\n", "17 4 100 10 5 1\n", "55 5 20 36 3 5\n", "50 15 30 14 1 1\n", "7 3 170 12 13 6\n", "4 2 25 20 2 2\n", "0 11 6 40 6 4\n", "33 2 18 6 5 1\n", "7 2 27 5 9 1\n", "35 8 8 20 2 4\n", "3 18 472 42 6 1\n", "30 9 11 83 1 7\n", "50 9 45 37 3 3\n", "10 4 8 82 25 12\n", "0 7 17 90 3 4\n", "38 17 10 20 1 2\n", "13 3 11 16 5 4\n", "40 1 6 2 11 2\n", "5 46 133 27 1 1\n", "543 1 31 2 6 5\n", "3 5 51 36 5 6\n", "2 1 10 2 15 1\n", "27 45 34 134 1 2\n" ], "output": [ "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: A boy Valera registered on site Codeforces as Valera, and wrote his first Codeforces Round #300. He boasted to a friend Arkady about winning as much as x points for his first contest. But Arkady did not believe his friend's words and decided to check whether Valera could have shown such a result. He knows that the contest number 300 was unusual because there were only two problems. The contest lasted for t minutes, the minutes are numbered starting from zero. The first problem had the initial cost of a points, and every minute its cost reduced by da points. The second problem had the initial cost of b points, and every minute this cost reduced by db points. Thus, as soon as the zero minute of the contest is over, the first problem will cost a - da points, and the second problem will cost b - db points. It is guaranteed that at any moment of the contest each problem has a non-negative cost. Arkady asks you to find out whether Valera could have got exactly x points for this contest. You should assume that Valera could have solved any number of the offered problems. You should also assume that for each problem Valera made no more than one attempt, besides, he could have submitted both problems at the same minute of the contest, starting with minute 0 and ending with minute number t - 1. Please note that Valera can't submit a solution exactly t minutes after the start of the contest or later. Input The single line of the input contains six integers x, t, a, b, da, db (0 ≤ x ≤ 600; 1 ≤ t, a, b, da, db ≤ 300) — Valera's result, the contest's duration, the initial cost of the first problem, the initial cost of the second problem, the number of points that the first and the second problem lose per minute, correspondingly. It is guaranteed that at each minute of the contest each problem has a non-negative cost, that is, a - i·da ≥ 0 and b - i·db ≥ 0 for all 0 ≤ i ≤ t - 1. Output If Valera could have earned exactly x points at a contest, print "YES", otherwise print "NO" (without the quotes). Examples Input 30 5 20 20 3 5 Output YES Input 10 4 100 5 5 1 Output NO Note In the first sample Valera could have acted like this: he could have submitted the first problem at minute 0 and the second problem — at minute 2. Then the first problem brings him 20 points and the second problem brings him 10 points, that in total gives the required 30 points. ### Input: 10 4 100 5 5 1 ### Output: NO ### Input: 30 5 20 20 3 5 ### Output: YES ### Code: x, t, a, b, da, db = (int(q) for q in input().split()) if (x in (a - da * i + b - db * j for i in range(t) for j in range(t)) or (a >= x and (a - x) % da == 0 and (a - x) // da < t) or (b >= x and (b - x) % db == 0 and (b - x) // db < t) or x == 0): print('YES') else: print('NO')
276_D. Little Girl and Maximum XOR_34920
A little girl loves problems on bitwise operations very much. Here's one of them. You are given two integers l and r. Let's consider the values of <image> for all pairs of integers a and b (l ≤ a ≤ b ≤ r). Your task is to find the maximum value among all considered ones. Expression <image> means applying bitwise excluding or operation to integers x and y. The given operation exists in all modern programming languages, for example, in languages C++ and Java it is represented as "^", in Pascal — as "xor". Input The single line contains space-separated integers l and r (1 ≤ l ≤ r ≤ 1018). Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier. Output In a single line print a single integer — the maximum value of <image> for all pairs of integers a, b (l ≤ a ≤ b ≤ r). Examples Input 1 2 Output 3 Input 8 16 Output 31 Input 1 1 Output 0
def bin(a): if a <= 1: return a else: return 10*bin(a//2)+a%2 def convBin(a): k,i = 0,0 while a!=0: k += (a%10)*int((2**i)) a //= 10 i += 1 return k def maxi(a,b): if a == b: return 0 elif a+1 == b: return a^b elif a+2 == b: x = a^(a+1) y = a^(a+2) z = (a+1)^(a+2) return max(max(x,y),z) else: x = str(bin(a^b)) y = '1'*len(x) return convBin(int(y)) a = list(map(int,input().split())) print(maxi(a[0],a[1]))
{ "input": [ "8 16\n", "1 2\n", "1 1\n", "28591024119784617 732203343197854927\n", "23811264031960242 520940113721281721\n", "8589934592 8989934592\n", "658472316271074503 728242833853270665\n", "25785331761502790 119852560236585580\n", "190620774979376809 899159649449168622\n", "462451489958473150 957447393463701191\n", "43543567767276698 769776048133345296\n", "666033930784103123 883523065811761270\n", "32473107276976561 588384394540535099\n", "125051194948742221 235911208585118006\n", "363313173638414449 500957528623228245\n", "214985598536531449 956713939905291713\n", "68666076639301243 247574109010873331\n", "200851182089362664 449305852839820160\n", "9999999999900 9999999999902\n", "215365547805299155 861595308221385098\n", "277046860122752192 828379515775613732\n", "231465750142682282 276038074124518614\n", "1000000000000 999999999999999999\n", "79242383109441603 533369389165030783\n", "815449097320007662 942453891178865528\n", "5000000 5900000\n", "190442232278841373 980738846929096255\n", "731792654005832175 789527173439457653\n", "9999999999900 9999999999901\n", "33 910\n", "56445001476501414 706930175458589379\n", "549330032897152846 715374717344043295\n", "9999999999998 9999999999999\n", "36 94\n", "289218059048863941 314351197831808685\n", "9999999999900 9999999999903\n", "632668612680440378 864824360766754908\n", "47456305370335136 388462406071482688\n", "10000000000 20000000000\n", "491113582000560303 858928223424873439\n", "203359308073091683 455893840817516371\n", "230148668013473494 573330407369354716\n", "43249439481689805 431488136320817289\n", "668869743157683834 805679503731305624\n", "198909890748296613 528950282310167050\n", "454452550141901489 843034681327343036\n", "330134158459714054 457118108955760856\n", "18565852953382418 697862904569985066\n", "501827377176522663 590153819613032662\n", "1 3\n", "765369978472937483 796958953973862258\n", "1 1000000000000000000\n", "181513087965617551 301910258955864271\n", "140216419613864821 362678730465999561\n", "54248140375568203 718189790306910368\n", "780993382943360354 889872865454335075\n", "506 677\n", "259703440079833303 857510033561081530\n", "797162752288318119 908416915938410706\n", "18036160952102318 520940113721281721\n", "8589934592 9142006599\n", "25785331761502790 125970737253692578\n", "391984337010391791 957447393463701191\n", "43543567767276698 227047138820711356\n", "3161660 5900000\n", "8206870417647 9999999999901\n", "33 311\n", "41 94\n", "10000000000 36672161901\n", "3 16\n", "3096224682453 7928201372162\n", "13371451739275399 588384394540535099\n", "127688127280452406 235911208585118006\n", "59015151560686384 956713939905291713\n", "66697515076925478 247574109010873331\n", "15700466968080133 449305852839820160\n", "339043672569921402 861595308221385098\n", "1000000000000 426788170428896921\n", "79242383109441603 213915759879256332\n", "128244560818821561 789527173439457653\n", "56445001476501414 595878518629433834\n", "2172155546987 9999999999999\n", "289218059048863941 508722037897204903\n", "3096224682453 9999999999903\n", "318665649051581624 864824360766754908\n", "68370349283372934 388462406071482688\n", "633923840447991131 858928223424873439\n", "203359308073091683 623551824020977228\n", "85895808462558473 431488136320817289\n", "684447299447254354 805679503731305624\n", "64619933480199633 528950282310167050\n", "418366800512905462 843034681327343036\n", "330134158459714054 400048674208300572\n", "18565852953382418 611548124105111749\n", "720317809212747817 796958953973862258\n", "107048609823190896 301910258955864271\n", "140216419613864821 499099714322736390\n", "54248140375568203 200407972691968980\n", "259703440079833303 1004763675266938032\n", "6800870063303743 520940113721281721\n", "36959922379746679 125970737253692578\n", "13171929041940810 227047138820711356\n", "13371451739275399 653695816518466693\n", "33474229907596813 235911208585118006\n", "105897125200712270 956713939905291713\n", "66697515076925478 128812423502059186\n", "24688530440381098 449305852839820160\n", "1000000000000 389571959058488672\n", "79242383109441603 339078244385212612\n", "228439053444532738 789527173439457653\n", "29 311\n", "104542884319707253 595878518629433834\n", "2172155546987 13039974844115\n", "25 94\n", "78870284003033917 508722037897204903\n", "388878617774856876 864824360766754908\n", "48138907986317515 388462406071482688\n", "10000000100 36672161901\n", "221115586494997137 623551824020977228\n", "81103933350723907 528950282310167050\n", "18565852953382418 747028051481240555\n", "599829096856775973 796958953973862258\n", "208655767525630 499099714322736390\n", "71273660026883050 1004763675266938032\n", "1 16\n" ], "output": [ "31\n", "3\n", "0\n", "1152921504606846975\n", "576460752303423487\n", "536870911\n", "288230376151711743\n", "144115188075855871\n", "1152921504606846975\n", "1152921504606846975\n", "1152921504606846975\n", "576460752303423487\n", "1152921504606846975\n", "288230376151711743\n", "288230376151711743\n", "1152921504606846975\n", "288230376151711743\n", "576460752303423487\n", "3\n", "1152921504606846975\n", "1152921504606846975\n", "72057594037927935\n", "1152921504606846975\n", "576460752303423487\n", "576460752303423487\n", "2097151\n", "1152921504606846975\n", "72057594037927935\n", "1\n", "1023\n", "1152921504606846975\n", "1152921504606846975\n", "1\n", "127\n", "36028797018963967\n", "3\n", "576460752303423487\n", "576460752303423487\n", "34359738367\n", "1152921504606846975\n", "576460752303423487\n", "576460752303423487\n", "576460752303423487\n", "288230376151711743\n", "576460752303423487\n", "1152921504606846975\n", "288230376151711743\n", "1152921504606846975\n", "1152921504606846975\n", "3\n", "144115188075855871\n", "1152921504606846975\n", "576460752303423487\n", "576460752303423487\n", "1152921504606846975\n", "576460752303423487\n", "1023\n", "1152921504606846975\n", "576460752303423487\n", "576460752303423487\n", "1073741823\n", "144115188075855871\n", "1152921504606846975\n", "288230376151711743\n", "8388607\n", "17592186044415\n", "511\n", "127\n", "68719476735\n", "31\n", "8796093022207\n", "1152921504606846975\n", "288230376151711743\n", "1152921504606846975\n", "288230376151711743\n", "576460752303423487\n", "1152921504606846975\n", "576460752303423487\n", "288230376151711743\n", "1152921504606846975\n", "1152921504606846975\n", "17592186044415\n", "288230376151711743\n", "17592186044415\n", "1152921504606846975\n", "576460752303423487\n", "288230376151711743\n", "1152921504606846975\n", "576460752303423487\n", "288230376151711743\n", "576460752303423487\n", "1152921504606846975\n", "144115188075855871\n", "1152921504606846975\n", "288230376151711743\n", "576460752303423487\n", "576460752303423487\n", "288230376151711743\n", "1152921504606846975\n", "576460752303423487\n", "144115188075855871\n", "288230376151711743\n", "1152921504606846975\n", "288230376151711743\n", "1152921504606846975\n", "144115188075855871\n", "576460752303423487\n", "576460752303423487\n", "576460752303423487\n", "1152921504606846975\n", "511\n", "1152921504606846975\n", "17592186044415\n", "127\n", "576460752303423487\n", "1152921504606846975\n", "576460752303423487\n", "68719476735\n", "1152921504606846975\n", "576460752303423487\n", "1152921504606846975\n", "288230376151711743\n", "576460752303423487\n", "1152921504606846975\n", "31\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: A little girl loves problems on bitwise operations very much. Here's one of them. You are given two integers l and r. Let's consider the values of <image> for all pairs of integers a and b (l ≤ a ≤ b ≤ r). Your task is to find the maximum value among all considered ones. Expression <image> means applying bitwise excluding or operation to integers x and y. The given operation exists in all modern programming languages, for example, in languages C++ and Java it is represented as "^", in Pascal — as "xor". Input The single line contains space-separated integers l and r (1 ≤ l ≤ r ≤ 1018). Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier. Output In a single line print a single integer — the maximum value of <image> for all pairs of integers a, b (l ≤ a ≤ b ≤ r). Examples Input 1 2 Output 3 Input 8 16 Output 31 Input 1 1 Output 0 ### Input: 8 16 ### Output: 31 ### Input: 1 2 ### Output: 3 ### Code: def bin(a): if a <= 1: return a else: return 10*bin(a//2)+a%2 def convBin(a): k,i = 0,0 while a!=0: k += (a%10)*int((2**i)) a //= 10 i += 1 return k def maxi(a,b): if a == b: return 0 elif a+1 == b: return a^b elif a+2 == b: x = a^(a+1) y = a^(a+2) z = (a+1)^(a+2) return max(max(x,y),z) else: x = str(bin(a^b)) y = '1'*len(x) return convBin(int(y)) a = list(map(int,input().split())) print(maxi(a[0],a[1]))
29_A. Spit Problem_34924
In a Berland's zoo there is an enclosure with camels. It is known that camels like to spit. Bob watched these interesting animals for the whole day and registered in his notepad where each animal spitted. Now he wants to know if in the zoo there are two camels, which spitted at each other. Help him to solve this task. The trajectory of a camel's spit is an arc, i.e. if the camel in position x spits d meters right, he can hit only the camel in position x + d, if such a camel exists. Input The first line contains integer n (1 ≤ n ≤ 100) — the amount of camels in the zoo. Each of the following n lines contains two integers xi and di ( - 104 ≤ xi ≤ 104, 1 ≤ |di| ≤ 2·104) — records in Bob's notepad. xi is a position of the i-th camel, and di is a distance at which the i-th camel spitted. Positive values of di correspond to the spits right, negative values correspond to the spits left. No two camels may stand in the same position. Output If there are two camels, which spitted at each other, output YES. Otherwise, output NO. Examples Input 2 0 1 1 -1 Output YES Input 3 0 1 1 1 2 -2 Output NO Input 5 2 -10 3 10 0 5 5 -5 10 1 Output YES
n=int(input()) a1=[] a2=[] for i in range(n): x,d=list(map(int,input().split())) a1.append(x) a2.append(d) flag=1 for i in range(n): for j in range(i+1,n): if ((a1[i]+a2[i]==a1[j]) and (a1[j]+a2[j]==a1[i])): print("YES") flag=0 break if(flag==0): break if(flag==1): print("NO")
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9800\n-2299 1697\n3382 -7177\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-267 1414\n1472 -1253\n-6711 -1202\n335 1733\n-882 8868\n3107 -1904\n-4486 4006\n4075 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n6264 6563\n", "11\n-1488 3809\n-2406 -8438\n-1916 395\n5636 -538\n-6867 -10373\n7525 1999\n-9509 2908\n5980 4629\n-2862 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-4230 -6399\n2621 -3551\n-4163 4993\n2490 -9071\n-3004 9510\n-6542 552\n5807 7354\n7594 7675\n-5493 -2297\n", "30\n-398 -1774\n345 -6974\n2346 -4657\n8552 -9647\n-5265 1538\n8195 4864\n-4817 -5219\n-1300 8563\n-2014 1992\n-4669 -1156\n7574 256\n9206 -2414\n4140 -691\n-294 2169\n5411 -2871\n3808 -9799\n3141 5690\n7817 -2680\n-5990 9800\n-2299 1697\n3382 -7177\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-267 1414\n1472 -1253\n-6711 -1202\n335 1733\n-882 8868\n3107 -1904\n-5800 4006\n4075 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n6264 6563\n", "11\n-1488 3809\n-2406 -8438\n-1916 395\n4615 -538\n-6867 -10373\n7525 1999\n-9509 2908\n5980 4629\n-2862 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-4230 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-3004 9510\n-6542 552\n5807 7354\n7594 7675\n-5493 -2297\n", "30\n-398 -1774\n345 -6974\n2346 -4657\n8552 -9647\n-5265 1538\n8195 4864\n-4817 -5219\n-1300 8563\n-2014 1992\n-4669 -1156\n7574 272\n9206 -2414\n4140 -691\n-294 2169\n5411 -2871\n3808 -9799\n3141 5690\n7817 -2680\n-5990 9800\n-2299 1697\n3382 -7177\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-267 1414\n1472 -1253\n-6711 -1202\n335 1733\n-882 8868\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n6264 6563\n", "11\n-1488 3809\n-2406 -8438\n-1916 395\n4615 -538\n-6867 -10373\n7525 1999\n-9509 2908\n5980 4629\n-443 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-4230 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-3004 9510\n-6542 552\n5807 7354\n7594 4095\n-5493 -2297\n", "30\n-398 -1774\n345 -6974\n2346 -4657\n8552 -9647\n-5265 1538\n8195 4864\n-4088 -5219\n-1300 8563\n-2014 1992\n-4669 -1156\n7574 272\n9206 -2414\n4140 -691\n-294 2169\n5411 -2871\n3808 -9799\n3141 5690\n7817 -2680\n-5990 9800\n-2299 1697\n3382 -7177\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-267 1414\n1472 -1253\n-6711 -1202\n335 1733\n-882 8868\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n9751 6563\n", "11\n-1488 3809\n-2406 -8438\n-1916 395\n4615 -538\n-6867 -10373\n7525 41\n-9509 2908\n5980 4629\n-443 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-304 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-3004 9510\n-6542 552\n5807 7354\n7594 4095\n-5493 -2297\n", "30\n-398 -1774\n345 -6974\n2346 -4657\n8552 -9647\n-5265 1538\n8195 4864\n-4088 -5219\n-1300 8563\n-2014 797\n-4669 -1156\n7574 272\n9206 -2414\n4140 -691\n-294 2169\n5411 -2871\n3808 -9799\n3141 5690\n7817 -2680\n-5990 9800\n-2299 1697\n3382 -7177\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-267 1414\n1472 -1253\n-6711 -1202\n335 1733\n-882 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n9751 6563\n", "11\n-1488 3809\n-2406 -8438\n-1916 395\n7331 -538\n-6867 -10373\n7525 41\n-9509 2908\n5980 4629\n-443 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-304 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-3004 9510\n-6542 552\n5807 7354\n7594 8052\n-5493 -2297\n", "30\n-398 -1774\n345 -6974\n2346 -4657\n8552 -9647\n-5265 1538\n8195 4864\n-4088 -5219\n-1300 8563\n-2014 797\n-4669 -1156\n7574 272\n9206 -2414\n4140 -691\n-294 2169\n5411 -2871\n3808 -9799\n3141 5690\n7817 -2680\n-5990 9800\n-2299 1697\n3382 -10489\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-267 1414\n1472 -1253\n-1986 -1202\n335 1733\n-882 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -538\n-6867 -10373\n7525 41\n-9509 2908\n5980 4629\n-443 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-304 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-2421 9510\n-6542 552\n5807 7354\n7594 8052\n-5493 -2297\n", "30\n-398 -1774\n345 -6974\n2346 -4657\n8552 -9647\n-5265 1538\n8195 4864\n-4088 -9011\n-1300 8563\n-2014 797\n-4669 -1156\n7574 272\n9206 -2414\n4140 -691\n-294 2169\n5411 -2871\n3808 -9799\n3141 5690\n7817 -2680\n-5990 9800\n-2299 1697\n3382 -10489\n-175 -9724\n-4644 -2392\n-2198 -1820\n-2105 9386\n-8165 -4201\n-1589 -9892\n2336 -7840\n4173 -6949\n-3368 -9943\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -1253\n-1986 -1202\n335 1733\n-882 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n8754 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-9509 2908\n5980 4629\n-443 -8397\n-8984 6122\n614 -326\n", "10\n-9897 -1144\n-114 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-2421 9510\n-6542 552\n5807 7354\n7594 8052\n-5493 -2297\n", "20\n-5264 20765\n-3664 -7459\n-2780 -9859\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -1253\n-1986 -1202\n335 1733\n-882 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n5453 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-9509 2908\n5980 4629\n-443 -8397\n-8984 7299\n614 -326\n", "10\n-9897 -1144\n-114 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-2421 9510\n-6542 177\n5807 7354\n7594 8052\n-5493 -2297\n", "20\n-5264 20765\n-3664 -7459\n-2780 -10626\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -1253\n-1986 -1202\n335 1733\n-882 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 6042\n-9102 3545\n5453 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-12921 2908\n5980 4629\n-443 -8397\n-8984 7299\n614 -326\n", "10\n-6943 -1144\n-114 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-2421 9510\n-6542 177\n5807 7354\n7594 8052\n-5493 -2297\n", "20\n-5264 20765\n-3664 -7459\n-2780 -10626\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -1253\n-1986 -1202\n335 1733\n-882 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 4644\n-9102 3545\n5453 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-12921 2908\n1674 4629\n-443 -8397\n-8984 7299\n614 -326\n", "10\n-6943 -1144\n-114 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-2421 9510\n-7245 177\n5807 7354\n7594 8052\n-5493 -2297\n", "20\n-5264 20765\n-3664 -7459\n-2780 -10626\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -1253\n-1986 -1202\n335 1733\n-778 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 4644\n-9102 3545\n5453 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-12921 2908\n1674 4629\n-300 -8397\n-8984 7299\n614 -326\n", "10\n-6943 -1144\n-114 -6399\n4598 -3551\n-4163 4993\n2490 -9071\n-3383 9510\n-7245 177\n5807 7354\n7594 8052\n-5493 -2297\n", "20\n-5264 20765\n-3664 -7459\n-2780 -10626\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -893\n-1986 -1202\n335 1733\n-778 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 4644\n-9102 3545\n5453 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-12921 2908\n1674 4629\n-169 -8397\n-8984 7299\n614 -326\n", "10\n-6943 -1144\n-114 -6399\n4598 -3551\n-4163 563\n2490 -9071\n-3383 9510\n-7245 177\n5807 7354\n7594 8052\n-5493 -2297\n", "20\n-5139 20765\n-3664 -7459\n-2780 -10626\n-3317 6842\n9305 -8092\n1555 1904\n-86 1414\n1472 -893\n-1986 -1202\n335 1733\n-778 17424\n3107 -1904\n-5800 4006\n743 3616\n2847 -5255\n8438 7057\n2786 4644\n-9102 3545\n5453 -233\n9751 6563\n", "11\n-1488 6799\n-2406 -8438\n-1916 395\n7331 -526\n-6867 -10373\n7525 41\n-12921 2908\n1674 5724\n-169 -8397\n-8984 7299\n614 -326\n", "10\n-6943 -1144\n-165 -6399\n4598 -3551\n-4163 563\n2490 -9071\n-3383 9510\n-7245 177\n5807 7354\n7594 8052\n-5493 -2297\n" ], "output": [ "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "YES\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "YES\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n", "NO\n" ] }
2CODEFORCES
Below is a problem description that describes the problem. Write code in Python that appropriately solves the problem. ### Description: In a Berland's zoo there is an enclosure with camels. It is known that camels like to spit. Bob watched these interesting animals for the whole day and registered in his notepad where each animal spitted. Now he wants to know if in the zoo there are two camels, which spitted at each other. Help him to solve this task. The trajectory of a camel's spit is an arc, i.e. if the camel in position x spits d meters right, he can hit only the camel in position x + d, if such a camel exists. Input The first line contains integer n (1 ≤ n ≤ 100) — the amount of camels in the zoo. Each of the following n lines contains two integers xi and di ( - 104 ≤ xi ≤ 104, 1 ≤ |di| ≤ 2·104) — records in Bob's notepad. xi is a position of the i-th camel, and di is a distance at which the i-th camel spitted. Positive values of di correspond to the spits right, negative values correspond to the spits left. No two camels may stand in the same position. Output If there are two camels, which spitted at each other, output YES. Otherwise, output NO. Examples Input 2 0 1 1 -1 Output YES Input 3 0 1 1 1 2 -2 Output NO Input 5 2 -10 3 10 0 5 5 -5 10 1 Output YES ### Input: 5 2 -10 3 10 0 5 5 -5 10 1 ### Output: YES ### Input: 3 0 1 1 1 2 -2 ### Output: NO ### Code: n=int(input()) a1=[] a2=[] for i in range(n): x,d=list(map(int,input().split())) a1.append(x) a2.append(d) flag=1 for i in range(n): for j in range(i+1,n): if ((a1[i]+a2[i]==a1[j]) and (a1[j]+a2[j]==a1[i])): print("YES") flag=0 break if(flag==0): break if(flag==1): print("NO")